Mathsloops Index
GCSE
A
Grade
2-D and 3-D shapes - naming
G
Addition
G
Addition and subtraction of fractions
D
Addition and subtraction of mixed numbers
C
Addition and Subtraction of negative numbers
F
Addition and subtraction word problems
G
Addition of Decimals
F
Addition of money
G
Angles - measuring to the nearest degree
F
Angles - parallel and intersecting lines
C
Angles in polygons - interior and exterior
C
Angles in triangles
E
Angles on a line and at a point
F
Arcs and sectors
A
Area and circumference of circles
D
Area and Perimeter of compound shapes
E
Area and Perimeter of rectangles
F
Area and perimeter of semi-circles
C
Area of triangles and parallelograms
D
Averages from grouped data
C
Circle theorems
B
Completing tables for graphs of functions
E
Completing tables for graphs of functions
B
Completing the square
A*
Cumulative frequency and box plots
B
Decimals - ordering
F
Dimensions
B
Dividing
F
Division by 10, 100 and 1000
F
Division by a decimal
C
Division of money
F
C
D
E
Equations - forming and solving linear equations
C
Equations - forming and solving quadratic equations
A*
Equations - fractional
A*
Equations - solving linear 2x+ 3= 3(x - 2)
D
Equations - solving linear 3x + 4 = 22
E
Equations - solving linear x + 4 = 12
F
Equations - solving using the quadratic formula
A
Equations involving fractions
C
Equations of straight lines
B
Equations of straight lines
C
Expanding and simplifying brackets
B
Expressing a number as a product of primes
C
Factorising and solving quadratic equations
A*
Factorising and solving quadratic equations
B
Factorising simple expressions
D
Factors
G
Fractions - identifying the shaded fraction
G
Fractions - simplifying
F
Fractions of quantities
F
Fractions, decimals and percentages equivalence
F
Gradients of perpendicular lines
A
Indices
E
Indices - fractional and negative
A*
Inequalities
B
Limits of accuracy
B
Lowest common multiples and highest common factors
C
Median and Mode
G
Metric Measures - conversions
E
Multiplying
F
Multiplying and dividing by negative integers
E
F
G
I
L
M
Multiplying and dividing fractions
C
Multiplying by 10, 100,1000
F
Multiplying decimals
D
Multiplying money
F
Percentage increase and decrease
D
Percentage mixture
B
Percentages of quantities
F
Perimeters and area by counting
G
Pie Charts
D
Probability
D
Probability - sample space and tree diagrams
C
Probability problems involving dependent and independent events
A*
Proportion - direct and inverse
A
Proportion and ratio - unitary method
C
Pythagoras in 3 dimensions
A
Pythagoras theorem
C
Ratios
C
Rearranging formula
A
Rearranging formula
B
Rounding to 1 decimal place
F
Rounding to 1 significant figure
E
Rounding to 2 decimal places
F
Rounding to the nearest 10
G
Sequences - finding simple rules
G
Sequences - nth term - linear and quadratic
B
Sequences - using the nth term to find terms
D
Simplifying expressions involving brackets
D
Simplifying expressions involving indices
C
Simplifying expressions with more than 1 variable
E
Simultaneous equations
B
Simultaneous equations involving linear and quadratic equations
A*
Solving equations - quadratic formula
A*
Speed distance and time
C
Standard form index
B
P
R
S
Straight line graphs x = a and y = b
E
Substituting positive and negative values into formulae
E
Substituting positive values into formulae
F
Subtracting
G
Subtracting Decimals
F
Surds
A*
Surface area and volume of cones and spheres
A
Surface area and volume of similar shapes
A
Surface area of prisms and cylinders
C
Time
G
Transformations - Reflection and Rotation
C
Transforming graphs
A*
Trial and improvement
C
Trigonometry - calculating lengths
B
Trigonometry - calculating angles
B
Trigonometry and Pythagoras 2-D problems
B
Trigonometry - Sine Rule
A
Trigonometry Cosine Rule
A
Trigonometry - Sine Cosine rule, area of a triangle mixture
A
Trigonometry and Pythagoras 3-D problems
A*
Vectors
A
Volume and surface area of frustums and cones
A*
Volume of cubes and cuboids
E
Volume of prisms
C
T
V
Simplifying surds (16 cards)
Card 2
Card 1
2 2 + 5
32 + 7 5
Given that
5
find an expression for p
66
(4 –
???
2
5)
70
???
Set A*1
???
75 × 2
???
2)
(4 +
70
Set A*1
???
Card 8
Card 7
11 3 – 17
Simplify
a = 2 − 3 and b= 5 3 − 1
80 × 54
2
5)
Simplify b - a
60
66
Set A*1
66
14 + 6 5
Simplify
70
70
Set A*1
6 5
Simplify
Set A*1
66
Card 6
21 + 3 3
66
30 ×
3)
(2 + 4 3) (6 –
66
Card 5
3(2 2 – 5) + 4(5 –
Simplify
Simplify
2
70
Set A*1
28 + 8 5
4 2
Simplify
p = 3 +
Card 4
Card 3
70
???
66
Set A*1
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70
???
66
Set A*1
70
???
Card 10
Card 9
30 5
22 3
21 – 8 5
6 2
Simplify
Simplify
Rationalise the denominator
p = 2+ 3 5 and q = 1+ 2 5
Simplify
60 ×
pq
66
70
???
Set A*1
70
???
66
of
70
???
Set A*1
12
6
66
70
Set A*1
???
Card 16
Card 15
2 6
6 3 – 3
21 + 8 5
Rationalise the denominator
Simplify
a=2– 3
24
Card 14
Card 13
30 2
75 ×
3
66
Set A*1
Card 12
Card 11
and b = 5 3 – 1
of
(9 – 2 3) (3 + 3)
p = 2+ 3 5 and q = 1+ 2 5
8
Simplify
2
p2 – q2
Simplify ab
66
Set A*1
70
???
66
Set A*1
70
???
66
Set A*1
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70
???
66
Set A*1
70
???
Name ………………………………………………………...
Simplifying surds
Name ………………………………………………………...
Simplifying surds
ANSWERS
Card Set
ANSWERS
Card Set
A*1
A*1
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
12
9
ANSWERS
Card Set
14
5
4
A*1
2
16
TOTALS
10
66
70
8
13
6
11
3
www.mathsloops.co.uk
15
Using index notation and laws for fractional and negative powers (16 cards)
Card 1
2
8
3
27
62
74
???
2
125
1
3
74
–2
× 6
Set A*2
74
0
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= 64
62
74
???
Set A*2
Card 7
3
Card 8
2
Work out
÷2
–3
62
Set A*2
n
What is the value of n ?
Evaluate
4
???
3
???
9
0
62
16
2
74
Card 6
4
–
62
Set A*2
Write down the value of
= 25
???
× 81
2
Card 4
27
 8 


27


1
???
Set A*2
Card 5
62
3
74
4
n
1
62
What is the value of n ?
Set A*2
–
64
Simplify
Work out
2
Card 3
8
9
Find the value of
Set A*2
Card 2
4
3
74
???
–2
–
÷ 64
62
Set A*2
1
3
74
???
27
Card 9
64
16
4
× 64
2
3
62
16
74
???
Set A*2
–1
2
3
???
74
???
Set A*2
Card 14
3
× 2
6
10
74
???
0
–
÷ 9
25
3
2
n
=
1
???
Set A*2
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???
Card 16
 16 


9


74
???
2
Work out
5
62
× 81
27
What is the value of n ?
74
1
74
Set A*2
Card 15
1
–2
62
8
62
Set A*2
3
3
62
Evaluate
62
Set A*2
27
4
74
Card 13
Write down the value of
2
3
62
Set A*2
Work out
–3
–
Card 12
1
9
Write down the value of
Evaluate
3
Card 11
1
3
Work out
–
Card 10
2
–
3
2
62
Set A*2
74
???
Name ………………………………………………………...
Using index notation and laws for fractional and negative indices
Name ………………………………………………………...
Using index notation and laws for fractional and negative indices
ANSWERS
Card Set
ANSWERS
Card Set
A*2
A*2
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
6
12
9
ANSWERS
Card Set
11
7
16
A*2
3
14
TOTALS
5
62
74
2
8
10
4
13
www.mathsloops.co.uk
15
Solving fractional equations (12 cards)
Card 1
2
Solve
x+ 3
=
x– 2
2x
x+ 1
x+ 3
38
40
???
Set A*3
x– 1
x+ 1
=
+
1
2
x– 6
???
x+ 1
4x – 3
2x – 1
40
???
+
2
2x
4
= 0
x
40
???
Set A*3
=
2x + 1
1
x+ 1
x– 1
40
???
4
=
5
2
38
40
Card 7
-3 , 2
x
+
???
Set A*3
Card 8
1, 3
Solve
Solve
38
Set A*3
5
38
Card 6
Card 4
3
Solve
x
40
0
= 1
1, 4
1
Solve
38
Set A*3
–
Set A*3
Solve
Card 3
Solve
38
Card 5
11
x– 1
7, -8
Solve
x– 1
x
Card 2
+
2
2x – 1
=
6
x– 1
3x – 1
2
38
Set A*3
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40
???
=
2(x – 2)
3
38
Set A*3
– 1
40
???
Card 9
5
Card 10
-2, -3
2,8
Solve
Solve
Solve
x+ 1
2x – 1
–
x– 1
x+ 2
= 2
38
Set A*3
10
x– 2
40
???
–
10
x+ 3
x+ 4
40
???
Card 12
-1 , 1
Solve
x
= 1
38
Set A*3
Card 11
4
38
Set A*3
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5 – x
– 2x = 3
40
???
=
1
x
38
Set A*3
40
???
Name ………………………………………………………...
Solving fractional equations
Name ………………………………………………………...
Solving fractional equations
ANSWERS
Card Set
ANSWERS
Card Set
A*3
A*3
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
6
5
8
9
12
ANSWERS
Card Set
A*3
2
10
TOTALS
38
40
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3
7
4
11
Using the quadratic formula to solve equations of the form ax2 + bx + c = 0
(12 cards)
Card 3
Card 1
-1.32, 5.32
-0.85, 2.35
0.09, -1.52
0.27. 3.73
Solve
Solve
Solve
Solve
Card 4
Card 2
x + 4x + 2 = 0
x2 + 6x + 7 = 0
2x2 + 4x = 3
4x2 + 2x = 5
correct to 2 decimal places
correct to 2 decimal places
correct to 2 decimal places
correct to 2 decimal places
2
21
57
Set A*4
???
21
57
Set A*4
???
21
57
Set A*4
Card 6
Card 5
Solve
57
Set A*4
0.42, 9.58
-1.40, 0.90
Solve
???
Card 8
Card 7
-2.35 , 0.85
-0.15, 0.65
???
21
Solve
Solve
x2 + 4 = 10x
4x2 –x = 4
x2 – 4x +1 = 0
2x2 – 3x - 4 = 0
correct to 2 decimal places
correct to 2 decimal places
correct to 2 decimal places
correct to 2 decimal places
21
Set A*4
57
???
21
Set A*4
57
???
21
Set A*4
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57
???
21
Set A*4
57
???
Card 10
Card 9
-4.41,-1.59
-0.88, 1.13
Solve
Card 12
Card 11
-2.58, 0.58
-0.59, -3.41
Solve
Solve
Solve
x2 – 4x - 7 = 0
7x2 + 10x = 1
2x2 + 3x - 4 = 0
10x2 = 5x +1
correct to 2 decimal places
correct to 2 decimal places
correct to 2 decimal places
correct to 2 decimal places
21
Set A*4
57
???
21
Set A*4
57
???
21
Set A*4
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57
???
21
Set A*4
57
???
Name ………………………………………………………...
Using the quadratic formula to solve equations
Name ………………………………………………………...
Using the quadratic formula to solve equations
ANSWERS
Card Set
ANSWERS
Card Set
A*4
A*4
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
8
ANSWERS
Card Set
5
12
6
A*4
2
7
TOTALS
21
57
www.mathsloops.co.uk
9
3
10
4
Simplifying quadratic equations by completing the square (12 cards)
Card 1
a=2
b=2
Card 2
a=-5
b = 24
Card 3
a = -2
b=6
Card 4
a=-2
b = 12
Express
Express
Express
Express
x – 4x - 2 = 0
x2 + 4x - 2 = 0
x2 + 2x - 1 = 0
x2 + 4x + 2 = 0
in the form (x + a)2 = b
in the form (x + a)2 = b
in the form (x + a)2 = b
in the form (x + a)2 = b
2
36
42
???
Set A*5
36
42
Card 5
a=-4
b = 14
???
Set A*5
36
42
Card 6
a=1
b=2
???
Set A*5
36
42
Card 7
a = -2
b=0
???
Set A*5
Card 8
a=-3
b=3
Express
Express
Express
Express
x2 – 10x +1 = 0
x2 – 12x - 5 = 0
x2 – 12x + 5 = 0
x2 – 4x - 6 = 2
in the form (x + a)2 = b
in the form (x + a)2 = b
in the form (x + a)2 = b
in the form (x + a)2 = b
36
Set A*5
42
???
36
Set A*5
42
???
36
Set A*5
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42
???
36
Set A*5
42
???
Card 9
a=6
b=6
Card 10
a=-6
b = 31
Card 11
a=-6
b = 41
Card 12
a=2
b=6
Express
Express
Express
x – 4x + 6 = 2
x – 8x +12 = 10
x2 + 12x + 30 = 0
x2 – 6x + 6 = 0
in the form (x + a)2 = b
in the form (x + a)2 = b
in the form (x + a)2 = b
in the form (x + a)2 = b
Express
2
36
Set A*5
2
42
???
36
Set A*5
42
???
36
Set A*5
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42
???
36
Set A*5
42
???
Name ………………………………………………………...
Completing the square
Name ………………………………………………………...
Completing the square
ANSWERS
Card Set
ANSWERS
Card Set
A*5
A*5
TOTALS
TOTALS
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www.mathsloops.co.uk
1
4
8
12
3
6
ANSWERS
Card Set
A*5
2
5
TOTALS
36
42
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11
9
7
10
Forming and solving quadratic equations (12 cards)
Card 1
22
7.08
x is a positive number.
When x is added to it’s
square the answer is
12. Find x
38
40
???
Set A*6
14.6
Set A*6
38
Card 5
38
40
???
30
40
10.64
???
Card 6
38
Set A*6
38
40
???
40
???
Set A*6
The width of a rectangle is
x cm. The length is 4 cm
longer. If the area is
9.33cm2, find the width and
hence the perimeter.
Card 3
The length of the
hypotenuse of a right
angled triangle is 14 cm.
The other 2 sides differ in
length by 5 cm. Find the
length of the shortest
side.
The length of a rectangle
is x + 1 m and the width
is x -1 m. If the area is
255 m2 find the length
Set A*6
The area of a page of a
book is 300 cm2. If the
length is 5 cm more than
the width find the lengths
of the sides and hence, the
perimeter.
Card 2
11
17
The sum of the squares
of two positive
consecutive integers is
265. What is the smaller
of the two numbers ?
38
???
Card 8
Card 7
70
38
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40
Set A*6
A triangle has height
(x+1) cm and a base
2x cm . If the area of the
triangle is 20 cm2 find
the value of x
Set A*6
Card 4
40
???
x is a positive number.
When x is subtracted
from it’s square the
answer is 90. Find x
38
Set A*6
40
???
32.43
Card 9
The area of a lawn is
28m2 The length and
width differ by 3 m. Find
the perimeter of the
lawn.
38
Set A*6
40
???
3
Card 10
4
10
The base of a triangle is
5 cm longer than its
height. The area of the
triangle is 30 cm2. Find
the base length.
38
Set A*6
Card 12
Card 11
40
???
The length of a
rectangle is (3x – 4)
cm and the width is
(x -1) cm. Find the
perimeter if the
area is 44 cm2
In a right angled triangle
the hypotenuse is 3 cm
longer than one side and
5 cm longer than the
other. Find the perimeter
of the triangle
38
Set A*6
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40
???
38
Set A*6
40
???
Name ………………………………………………………...
Forming and solving quadratic equations
Name ………………………………………………………...
Forming and solving quadratic equations
ANSWERS
Card Set
ANSWERS
Card Set
A*6
A*6
TOTALS
TOTALS
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www.mathsloops.co.uk
1
10
3
ANSWERS
Card Set
12
7
6
A*6
4
2
TOTALS
40
38
www.mathsloops.co.uk
5
8
11
9
Solving simultaneous equations (8 cards)
Card 1
( 9.9, 4.9 )
( -4.9, -9.9)
Find the coordinates of the
intersections of
2
( 3.1, 5.1 )
( -5.1, -3.1)
2
y=3x –1 and x + y =12
???
Set A*7
( -3, 4 )
( -4, 3 )
10
26
???
Set A*7
Card 5
(3,2)
( -3 , 8 )
Card 6
The line y = x + 2 intersects
2
2
the curve x + y = 36
at points P and Q.
Find the coordinates of A and B
Find the coordinates of P and Q
Set A*7
26
???
10
Set A*7
y= 2x2 - x -13
26
???
correct to 1 decimal place
26
Set A*7
The line x – y = 5 intersects
2
2
the curve x + y = 121
at points A and B.
10
x2 + y2=25 y = x + 7
and
10
( 1.4, 3.2 )
( -0.8, -3.4)
Card 4
Find the coordinates of the
intersections of
correct to 1 decimal place
correct to 1 decimal place
26
( 7.3, 5.3 )
( -5.3, -7.3)
x+y=5
2
x + y =120 2x + y =10
correct to 1 decimal place
Card 3
( 6, 8 )
( - 8, -6 )
Find the coordinates of the
intersections of
Find the coordinates of the
intersections of
2
10
Card 2
???
10
26
Set A*7
Card 7
( 8.5, -7 )
( -0.5, 11)
???
Card 8
Find the coordinates of the
intersections of
Find the coordinates of the
intersections of
x2 + y2 = 100 y= x + 2
x2 + y2 = 81 x – y = 2
correct to 1 decimal place
correct to 1 decimal place
10
Set A*7
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26
???
10
Set A*7
26
???
Name ………………………………………………………...
Simultaneous Equations
Name ………………………………………………………...
Simultaneous Equations
ANSWERS
Card Set
ANSWERS
Card Set
A*7
A*7
TOTALS
TOTALS
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www.mathsloops.co.uk
ANSWERS
Card Set
A*7
7
1
3
5
6
4
8
2
TOTALS
10
26
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Factorising and solving equations of the form ax2 + bx + c = 0
–
1
5
Card 1
– 1, –
, 2
51
27
???
– 2
1
2
,
51
Card 5
3
4
Factorise and solve
Set A*8
27
???
???
3
2
???
27
???
1
3
51
www.mathsloops.co.uk
4
51
3
8x2 + 14x = 15
27
???
,
Card 8
1
Factorise and solve
6x2 = 7x + 20
Set A*8
, –
Set A*8
Factorise and solve
27
4
Card 4
1
2x2 + 3 = 7x
Card 7
, 1
1
Factorise and solve
27
Card 6
51
–
3
51
5x2 – 9x –2 =0
Set A*8
,
Set A*8
Factorise and solve
9x2 +12x + 4 = 0
51
???
–2 , 3
3 2
2
Card 3
1
5x2 +11x + 2 = 0
27
Set A*8
5
Factorise and solve
9x2 = 6x - 1
2x2 – 5x + 3 = 0
–
3
Factorise and solve
Factorise and solve
Set A*8
Card 2
1
51
Set A*8
27
???
1
2
Card 9
, 3
Factorise and solve
– 2, –
???
51
Set A*8
3
, –
Card 11
2
2
3
27
???
51
Set A*8
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2
, – 1
Card 12
1
3
6x2 + 13x – 5=0
27
???
1
Factorise and solve
16x2 + 8x +1=0
3x + 4x +1=0
27
2
Factorise and solve
2
6x = 5x + 6
Set A*8
–
5
Factorise and solve
2
51
Card 10
1
51
Set A*8
27
???
Name ………………………………………………………...
Factoring and solving quadratic equations
Name ………………………………………………………...
Factoring and solving quadratic equations
ANSWERS
Card Set
ANSWERS
Card Set
A*8
A*8
TOTALS
TOTALS
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1
6
9
4
7
12
ANSWERS
Card Set
A*8
11
5
TOTALS
51
27
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3
10
2
8
Transforming graphs (12 cards)
Card 2
Card 1
y = 2sinx
y = 2cosx + 1
What is the equation of
What is the equation of
y
y
y
y = sin(x – 45)
y=x –2
What is the equation of
What is the equation of
Card 4
Card 3
2
3
2
y
2
1
1
x
x
-1
-1
x
x
2
35
43
???
Set A*9
43
35
???
Set A*9
Card 5
2
y = (x + 2)
y=x +2
2
35
???
Set A*9
Card 6
y = (x – 2)
What is the equation of
What is the equation of
43
2
35
Card 8
Card 7
y = 2s inx – 1
What is the equation of
y
y
2
y
???
Set A*9
What is the equation of
y
43
2
2
1
1
x
1
x
-1
-2
-1
x
-3
-1
43
Set A*9
35
???
43
Set A*9
2
35
-2
???
43
Set A*9
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35
???
43
Set A*9
35
???
2
y = s in 2x
y = (x – 2) – 2
What is the equation of
Card 12
Card 11
Card 10
Card 9
y = 2cos x
y = cos(x – 30)
What is the equation of
What is the equation of
What is the equation of
y
y
y
3
y
3
2
2
1
1
x
x
-1
x
-1
-2
x
-3
-2
43
Set A*9
35
???
43
Set A*9
35
-3
???
43
Set A*9
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35
???
43
Set A*9
35
???
Name ………………………………………………………...
Transforming graphs
Name ………………………………………………………...
Transforming graphs
ANSWERS
Card Set
ANSWERS
Card Set
A*9
A*9
TOTALS
TOTALS
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www.mathsloops.co.uk
1
3
8
5
7
10
ANSWERS
Card Set
A*9
11
6
TOTALS
43
35
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12
9
2
4
3-D Trigonometry and Pythagoras problems (8 Cards)
Card 2
Card 1
28.7
13.2
The diagram shows a cube.
Calculate the length of the diagonal
BH
A
The diagram shows a square based
pyramid. Angle OAE = 70˚.
E
B
Find OE
C
D
9 cm
D
E
18
F
???
Set A*10
15 cm
O
18
G
H
C
18
???
Set A*10
Card 4
Card 3
22.5
15.6
The diagram shows a square based
pyramid of height 15 cm (OE)
E
Set A*10
7 cm
F
C
8 cm
A
C
O
A
G
D
D
18
H
E
Work out the
angle between
the base and
the plane ABE
18
B
A
Calculate the angle between the
base and the diagonal AG
12 cm
B
???
10 cm
B
18
18
Set A*10
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18
???
Card 6
Card 5
29.1
54.7
If OE= 20 cm and angle ODE = 65˚
calculate the side length of the square
base.
Calculate the angle BHE
A
E
C
D
D
C
B
E
F
O
18
18 cm
18
B
A
???
Set A*10
18 cm
H
18
G
18 cm
18
???
Set A*10
Card 8
Card 7
42.5
68.2
If angle BCE = 90˚ calculate the
length BF
Calculate the angle ECD
F
H
E
G
F
D
A
14 cm
8 cm
???
D
9 cm
B
B
18
E
A
C
10 cm
18
Set A*10
13 cm
16 cm
18
Set A*10
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C
18
???
Name ………………………………………………………...
Solving 3-D problems using trigonometry and Pythagoras theorem
Name ………………………………………………………...
Solving 3-D problems using trigonometry and Pythagoras theorem
ANSWERS
Card Set
ANSWERS
Card Set
A*10
A*10
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
ANSWERS
Card Set
A*10
3
1
7
5
8
6
2
4
TOTALS
18
18
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Finding the volume and surface area of frustums and cones (8 cards)
Card 2
Card 1
191
2547
The frustum shown has diameters
of 10 cm and 6 cm at its ends and a
depth of 4 cm. Calculate it’s volume.
17
19
???
Set A*11
A sector with an angle of 65˚ is cut
from a circle of radius 10 cm. The
straight edges of the remaining piece
are joined to form a cone. What is the
volume of the cone ?
17
19
???
Set A*11
Card 4
Card 3
1411
403
15cm
9 cm
5 cm
10 cm
8 cm
Calculate the surface area of the
frustum shown.
17
Set A*11
19
???
10 cm
Calculate the volume
17
Set A*11
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19
???
Card 6
Card 5
205
301
Calculate the surface area of the
frustum shown below
A sector with an angle of 75˚ is cut
from a circle. The straight edges of
the remaining piece are joined to
form a cone. What is the surface
area of the cone ?
13cm
8 cm
17
19
???
Set A*11
11 cm
9 cm
17
19
???
Set A*11
Card 8
Card 7
4283
806
The frustum shown has diameters
of 8 cm and 6 cm at its ends and a
depth of 5 cm. Find it’s surface area
8 cm
8 cm
12 cm
Calculate the volume of the frustum
17
Set A*11
19
???
17
Set A*11
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19
???
Name ………………………………………………………...
Finding the volume and surface area of frustums and cones
Name ………………………………………………………...
Finding the volume and surface area of frustums and cones
ANSWERS
Card Set
ANSWERS
Card Set
A*11
A*11
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
ANSWERS
Card Set
A*11
6
1
5
7
4
3
2
8
TOTALS
17
19
www.mathsloops.co.uk
Problem solving using vector geometry (12 cards)
Card 1
1a+1b
2
2
ABCD is a parallelogram.
BN:NC = 2 : 1
DM:MC = 3 : 1
N
B
O
AC:CB = 3 : 1
M
b
Find AN in terms of a and b
38
40
???
Set A*12
38
b
O
a
A
38
Set A*12
P
???
P,Q,R are
midpoints
N
B
Find XQ in terms of a and b
38
Card 7
1a + 3b
4
4
AC:CB = 3 : 1
Card 8
O
a
M
b
A
C
Z
???
A
40
38
b
D
Find AM in terms of a and b
Set A*12
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???
40
???
a + 2b
3
C
a
Z
Set A*12
ABCD is a parallelogram.
BN:NC = 2 : 1
DM:MC = 3 : 1
Find PR in terms of a and b
Set A*12
40
???
Set A*12
XZ = b
R
38
R
Find XY in terms of a and b
38
X
40
X
B
Q
B
Find YX in terms of a and b
P,Q,R are
midpoints
P
b
Card 6
Y
C
40
???
XY = a
Y
X
XZ = b
Y
O
B
Find OC in terms of a and b
–1a – 3b
4
4
OABC is a parallelogram.
AX:XB = 3 : 1
CY:YB = 3 : 1
XY = a
Q
Set A*12
Card 5
1a – 1b
2
2
Card 4
3a + b
4
AY : YO = 1 : 2
AX : XB = 1 : 2
a
A
D
b
Y
X
C
A
Card 3
1a – 1b
4
4
A
a
C
a
Card 2
a + 3b
4
B
Find CO in terms of a and b
40
38
Set A*12
40
???
1b – 1a
2
2
Y
A
Card 9
AY : YO = 1 : 2
AX : XB = 1 : 2
a
ABCD is a parallelogram.
BN:NC = 2 : 1
DM:MC = 3 : 1
b
A
Find BX in terms of a and b
Set A*12
???
40
38
b
O
M
a
b
???
A
40
38
XY = a
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XZ = b
Y
P
C
P,Q,R are
midpoints
Q
Y
R
B
OXin terms of a and b
Find OX
Set A*12
Card 12
1b – 1a
3
4
X
X
D
Find NM in terms of a and b
Set A*12
Card 11
0a – 1 b
3
OABC is a parallelogram.
AX:XB = 3 : 1
CY:YB = 3 : 1
C
a
B
38
N
B
O
X
Card 10
2a – 2b
3
3
???
40
38
Z
Find ZQ in terms of a and b
Set A*12
???
40
Name ………………………………………………………...
Using Vector geometry to solve problems
Name ………………………………………………………...
Using Vector geometry to solve problems
ANSWERS
Card Set
ANSWERS
Card Set
A*12
A*12
TOTALS
TOTALS
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1
4
8
6
ANSWERS
Card Set
9
10
7
A*12
12
2
11
3
5
TOTALS
40
38
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Probability problems involving successive dependent events (12 cards)
Card 1
0.79
A bag contains 3 red balls
and 2 yellow balls. A ball is
chosen at random and is not
replaced. A second ball is
then taken at random. Find
the probability that one ball
of each colour is chosen.
34
44
???
Set A*13
4
5
Sam takes a card at random and
keeps it. He then picks a second
card at random.
What is the probability that his first
number is higher than his second ?
34
Set A*13
44
???
0.083
Emily takes a card at random and
keeps it. She then picks another
card at random.
Find the probability that she has
taken at least one even number.
34
34
44
???
Set A*13
6
Card 3
Mak takes two tests. The probability
that Mak passes test A is 0.4 If he
passes test A then the probability that
he also passes test B is 0.25. If he
does not pass A then the probability
that he does not pass test B is 0.6.
What is the probability that he passes
at least one of the tests?
Card 5
0.25
3
0.5
Card 2
0.48
Card 6
34
5
6
7
Edd has to drive through 2 sets of
traffic lights on his way to work.
These lights work independently .
The probability of the 1st set being
on red is 0.3. The probability of the
2nd set being red is 0.7. Calculate
the probability that at least one of
the sets of traffic lights is on red.
44
0.365
???
Card 7
What is the probability of getting
a total of 5 when the two scores
are added together ?
34
Set A*13
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34
44
???
44
???
Set A*13
A fair spinner, with numbers 1
to 4, is spun twice.
44
???
4
Set A*13
Sal has a biased die. The
probability of scoring a 6 is
0.4. What is the probability
that when the die is thrown
three times there will be
just one 6 ?
Set A*13
3
0.53
Card 4
0.7
Card 8
A box contains 4 blue counters
and 6 red counters. A counter
is drawn at random and then
replaced. A second counter is
drawn. Find the probability that
a counter of each colour is
drawn.
34
Set A*13
44
???
0.432
Card 9
To get to work Ellie drives through a
set of traffic lights. If the lights are
on red then the probability that Ellie
will be late is 0.75. If she is not
stopped at the lights then the
probability of being late is 0.2. If the
probability of the lights showing red
is 0.3, what is the probability that
she is late for work?
Out of a box of 10 bulbs, 3 are
known to be faulty. Two bulbs
are chosen at random (without
replacement). Determine the
probability that at least 1 bulb
will be defective.
34
Set A*13
44
???
0.3
Card 10
34
Set A*13
44
???
0.64
Card 11
A die is rolled twice and the
score noted.
What is the probability that
the second score is twice
the first score ?
34
Set A*13
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0.6
3
4
5
6
7
Sami takes a card at random and
keeps it. She then picks another
card at random.
Find the probability that she has
taken two prime numbers.
44
???
Card 12
34
Set A*13
44
???
Name ………………………………………………………...
Probability problems involving dependent and independent events
Name ………………………………………………………...
Probability problems involving dependent and independent events
ANSWERS
Card Set
ANSWERS
Card Set
A*13
A*13
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
12
10
4
ANSWERS
Card Set
7
5
9
A*13
2
6
8
3
11
TOTALS
44
34
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Direct and Inverse proportion
1
3
(12 cards)
Card 1
3.125
Card 2
2.5
Card 3
6
Card 4
F is directly proportional
to V such that when
V= 2.5 F = 1.5
R is proportional to S
squared.
When R= 20 S = 10
X is inversely proportional
to Y such that
when X = 8 , Y= ½ .
A is proportional to the
square root of B.
When A= 12 B = 16
Find F when V = 10
Find R when S = 4
Find Y when X = 5
Find A when B = 2.25
29
49
???
Set A1
1.8
29
49
???
Set A1
Card 5
25
29
49
???
Set A1
Card 6
1.6
29
49
???
Set A1
Card 7
27
Card 8
C is proportional to the
cube of D such that
when C =16 D = 4
L is inversely proportional
to the square of P.
When L= 2.5 P = 2
X is proportional to the
cube of Y such that
when X= 12.8 Y = 4
X is inversely proportional
to the square root of Y.
When X= 7.5 Y = 4
Find D when C = 2
Find P when L = 90
Find X when Y = 2.5
Find Y when X = 3
29
Set A1
49
???
29
Set A1
49
???
29
Set A1
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49
???
29
Set A1
49
???
0.8
Card 9
4.5
Card 10
2
Card 11
3.2
Card 12
F is proportional to the
cube root of G such that
when F= 50 G = 125
X is inversely proportional
to the cube root of y.
When X= 4 Y = 8
G is inversely proportional
H such that
when G= 10 H = 4
X is proportional to the
square of Y such that
when X=250 Y = 10
Find G when F = 30
Find X when Y = 125
Find G when H = 16
Find Y when X = 8.1
29
Set A1
49
???
29
Set A1
49
???
29
Set A1
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49
???
29
Set A1
49
???
Name ………………………………………………………...
Direct and inverse proportion
Name ………………………………………………………...
Direct and inverse proportion
ANSWERS
Card Set
ANSWERS
Card Set
A1
A1
TOTALS
TOTALS
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1
6
4
ANSWERS
Card Set
A1
8
9
10
3
11
TOTALS
29
49
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7
2
12
5
Changing the subject of a formula
x=a–b
a–c
(12 cards)
Card 1
a = x – c
b
x=c–a
b
???
Set A2
Make x the subject of
x=a+a
b
???
Card 7
44
Set A2
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Card 8
Make x the subject of
a=x–b
c
44
???
???
x = bc – ab
a – ab
ax + b = cx + a
34
a
x–c
34
Set A2
Make x the subject of
44
???
44
Set A2
Card 6
34
Set A2
Make x the subject of
b=
34
a(x + b) = b(x + c)
44
???
x=a+c
b
???
Make x the subject of
a = bx – cx
Set A2
44
Card 4
x = bc – a
b–1
a=b + 1
c
x
34
Card 5
34
Make x the subject of
b = ab
cx
44
Set A2
Card 3
x = ac + b
Make x the subject of
Make x the subject of
34
Card 2
x= c
ac – b
34
Set A2
44
???
x= a
b–c
Card 9
x = bc – ab
a–b
a = b(x – a)
Set A2
b=
44
???
x=a
c
b=x–a
x–c
a(x + b) = b(ax + c)
44
???
34
Set A2
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44
???
Card 12
Make x the subject of
Make x the subject of
a
c–x
34
Set A2
Card 11
x = ab + bc
Make x the subject of
Make x the subject of
34
Card 10
34
Set A2
44
???
Name ………………………………………………………...
Rearranging formula
Name ………………………………………………………...
Rearranging formula
ANSWERS
Card Set
ANSWERS
Card Set
A2
A2
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
7
ANSWERS
Card Set
9
5
8
A2
10
2
12
6
TOTALS
34
3
44
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4
Finding the gradient of perpendicular and parallel lines
–1
3
Card 1
Find the gradient of the
line perpendicular to the
line joining points
(2,3) and (-4,0)
27
51
???
Set A3
-2
27
Card 5
27
51
???
–2
3
51
???
Set A3
51
???
Card 3
27
Card 6
27
Set A3
2
3
3
2
Find the gradient of the line
perpendicular to the line
3y + 6x = 10
Find the gradient of the
line perpendicular to the
line joining points
(-4,1) and (2,7)
51
???
Card 2
Find the gradient of the
line parallel to the line
x + 2y=4
Set A3
Find the gradient of the
line parallel to the line
3x – y = 2
Set A3
-3
(12 cards)
1
Find the gradient of the
line joining the points
(-1,-12) and (3,-4)
27
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51
???
???
Set A3
1
2
Card 8
Find the gradient of the
line joining the points
(2,9) and (8,-9)
Find the gradient of the line
perpendicular to the line
2y - 6x = -4
Set A3
51
Card 7
27
Card 4
27
Set A3
51
???
-1
Card 9
3
Find the gradient of the line
perpendicular to the line
x + y =1
27
Set A3
51
???
Card 10
2
Find the gradient of the
line joining the points
(8,-7) and (-7,3)
Find the gradient of
the line
3y – 2x= 2
27
Set A3
51
???
Card 11
27
Set A3
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51
???
–1
2
Card 12
Find the gradient of the line
perpendicular to the line
3y + 2x =2
27
Set A3
51
???
Name ………………………………………………………...
Gradients of perpendicular lines
Name ………………………………………………………...
Gradients of perpendicular lines
ANSWERS
Card Set
ANSWERS
Card Set
A3
A3
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
9
6
5
10
ANSWERS
Card Set
A3
11
8
2
4
TOTALS
51
3
27
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12
Using the quadratic formula to solve equations of the form x2 + bx + c = 0
x = 5.541
Card 1
x = 0.828
x = -0.541
x = 4.828
x - 7x - 6 = 0
Give your answers
correct to 3 d.p.
33
45
???
x = 4.193
Card 4
x = -1.192
Solve
Solve
x2 + 6x + 7 = 0
x2 + 7x + 7 = 0
x2 - 7x + 7 = 0
Give your answers
correct to 3 d.p.
Give your answers
correct to 3 d.p.
Give your answers
correct to 3 d.p.
33
45
???
Set A4
Card 5
x = 3.236
x = -5.541
33
45
???
Set A4
Card 6
x = -0.772
33
45
Solve
???
Set A4
Card 7
x = 5.791
x = 7.772
x = -1.236
Solve
Card 3
x = -0.828
Solve
2
x = 0.541
Card 2
x = -4.828
Solve
Set A4
(12 cards)
Card 8
x = 1.209
Solve
Solve
x2 - 6x + 7 = 0
x2 - 3x = 5
x2 + 5x - 3 = 0
x2 - 5x = 3
Give your answers
correct to 3 d.p.
Give your answers
correct to 3 d.p.
Give your answers
correct to 3 d.p.
Give your answers
correct to 3 d.p.
33
Set A4
45
???
33
Set A4
45
???
33
Set A4
www.mathsloops.co.uk
45
???
33
Set A4
45
???
x = -1.586
Card 9
x = -1.208
Card 10
x = 1.236
x = -5.791
x = -4.414
x = 4.414
Card 12
x = 1.586
x = -3.236
Solve
Solve
Card 11
Solve
Solve
x2 + 2x - 4 = 0
x2 - 2x = 4
x2 - 4 = 4x
x2 + 4x - 4 = 0
Give your answers
correct to 3 d.p.
Give your answers
correct to 3 d.p.
Give your answers
correct to 3 d.p.
Give your answers
correct to 3 d.p.
33
Set A4
45
???
33
Set A4
45
???
33
Set A4
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45
???
33
Set A4
45
???
Name ………………………………………………………...
Quadratic formula
Name ………………………………………………………...
Quadratic formula
ANSWERS
Card Set
ANSWERS
Card Set
A4
A4
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
4
6
7
5
ANSWERS
Card Set
A4
10
2
9
3
TOTALS
33
12
45
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11
Calculating arc lengths, areas of sectors and areas of segments
Card 1
55.9
(12 cards)
Card 2
20.9
Card 3
47.5
Card 4
45.2
Calculate the perimeter
Calculate the arc length
of a sector with radius
15 cm and angle 133°.
Calculate the area of
a sector with radius
8 cm and angle 73°.
35
43
???
Set A5
35
43
Card 5
34.2
???
Set A5
35
???
Set A5
35
35
6 cm
104°
Set A5
???
45
35
Set A5
43
???
5 cm
15°
53°
4 cm
Card 8
Calculate the area of this
sector.
Calculate the perimeter of
the sector
20 cm
???
41.2
20 cm
120°
43
Set A5
Card 7
16.9
Calculate the area of the
shaded segment.
Calculate the shaded area
43
Card 6
40.8
Calculate the area of
a sector with radius
5 cm and angle 225°.
8 cm
35
Set A5
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43
???
35
Set A5
43
???
Card 9
34.8
Card 10
49.1
25.3
Calculate the area of the
shaded segment.
This sector has an area of
250 cm2. Find it’s radius
Card 11
Card 12
53.7
Calculate the area of this
sector
Calculate the perimeter of
the sector
8 cm
275°
100°
103°
35
Set A5
43
???
35
Set A5
7 cm
10 cm
43
???
35
Set A5
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43
???
165°
35
Set A5
43
???
Name ………………………………………………………...
Arcs and sectors
Name ………………………………………………………...
Arcs and sectors
ANSWERS
Card Set
ANSWERS
Card Set
A5
A5
TOTALS
TOTALS
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www.mathsloops.co.uk
1
8
6
ANSWERS
Card Set
A5
10
4
11
7
12
5
9
TOTALS
43
3
35
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2
Calculating volume and surface area of cones and spheres
139.6
Card 1
Calculate the volume of the cone
Radius = 4 cm
164.2
(12 cards)
Card 2
A label covers the sloping face
of the cone.
14.5 cm
Radius = 3 cm
8 cm
35
43
Set A6
125.1
???
35
Set A6
Card 5
129.0
If the sphere has an outside
diameter of 10.5 cm, calculate
the volume of the plastic
Set A6
45
???
43
???
Card 6
35
43
???
Find the radius of the
sphere giving your
answer in mm
43
134.0
???
Card 7
35
Set A6
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35
43
???
43
Set A6
The volume of a sphere is
145 cm3. What is the surface
area of this sphere ?
Find the
volume
Set A6
35
157.2
Card 4
A large sphere has a
surface area of 2533.9 cm2.
A ball of radius 3.4 cm is
sold in a cubical box. There
is no space for the ball to
move in the box. Calculate
the volume of air in the box
Set A6
A cone is attached to a
hemisphere of radius 3
cm. The total height is
12 cm
A hollow sphere is made from
plastic 0.5 cm thick.
35
Find the area of the label
154.9
Card 3
175.3
???
Card 8
The cone of radius 4 cm
has a total surface area
of 251.3 cm2.
Find, in mm,
the (vertical)
height.
35
Set A6
43
???
141.4
Card 9
Find the height, in mm, of a
cone of volume 47.3 cm3 and
diameter 3.8 cm
149.8
Card 10
142.0
Find the total surface
area of this hemisphere
Card 11
133.5
Calculate the surface
area of the cone
The surface area of a
sphere is 145 cm2.
Radius = 3.8
Find the volume of
the sphere
3.7 cm
35
Set A6
43
???
35
Set A6
10.2 cm
43
???
Card 12
35
Set A6
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43
???
35
Set A6
43
???
Name ………………………………………………………...
Surface area and volume of cones and spheres
Name ………………………………………………………...
Surface area and volume of cones and spheres
ANSWERS
Card Set
ANSWERS
Card Set
A6
A6
TOTALS
TOTALS
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www.mathsloops.co.uk
1
2
7
ANSWERS
Card Set
A6
11
4
12
5
3
10
9
TOTALS
38
8
40
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6
Surface area and volume of similar shapes
100.7
Card 1
Two similar objects have surface
areas of 90 cm2 and 160 cm2. If
the volume of the larger one is
50 cm3 find the volume of the
smaller one
38
40
Set A7
21.1
???
70
The smaller cone has a surface
area of 200 cm2. Find the
surface area of the larger one.
38
40
???
40
Set A7
Card 5
38
Card 2
Two similar cones have heights
of 7 cm and 10.5 cm
214.6
???
38
38
???
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What is the
volume of the
smaller one if
the big one has
a volume
of 340 cm3 ?
38
40
???
40
???
Set A7
Card 7
38
Set A7
112.5
9 cm
40
151.9
Card 4
Shown below are two similar
containers.
6 cm
Two spheres have volumes
in the ratio 27:343. If the
diameter of the smaller one
is 30 cm. Calculate the
diameter of the larger one
40
???
Card 3
A map is drawn to a scale of
1 : 40000
A lake occupies 40 cm2 on
the map. What is the area of
the real lake (in km2)?
Card 6
Calculate the mass of the
young fish if the adult fish
has a mass of 900 g.
Set A7
10.1
Set A7
A young fish is similar to
an adult but is 50%
smaller in length.
Two similar cuboids have
volumes of 1100 cm3 and
800 cm3. Find the surface area
of the smaller on if the
surface area of the larger
one is 980 cm2
Set A7
(12 cards)
450
Card 8
All of the dimensions of a
box are increased by
25%. If the new box has a
volume of 1200 cm3
calculate the volume of
the original box.
38
Set A7
40
???
6.4
Card 9
614.4
The volume of a cube is
increased by 40%. If the
original cube has a side
length of 9 cm calculate
the side length of
the new cube
A map has a scale of
1:50000. A reservoir on the
map has an area of 25 cm2.
Calculate, in km2, the area of
the actual reservoir.
38
Set A7
40
???
Card 10
38
Set A7
Two similar jugs have heights
of 4 cm and 6.5 cm.
If the capacity of the smaller
jug is 50 cm3, find the
capacity of the larger jug
40
???
6.25
Card 11
38
Set A7
www.mathsloops.co.uk
40
???
792.5
Card 12
Two spheres have surface
areas of 4 cm2 and 9 cm2.
The mass of the smaller
sphere is 45 g.
Find the mass of the
larger sphere.
38
Set A7
40
???
Name ………………………………………………………...
Surface area and volume of similar shapes
Name ………………………………………………………...
Surface area and volume of similar shapes
ANSWERS
Card Set
ANSWERS
Card Set
A7
A7
TOTALS
TOTALS
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www.mathsloops.co.uk
1
4
5
ANSWERS
Card Set
A7
6
11
12
9
2
8
3
TOTALS
40
7
38
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10
Pythagoras in 3-D (12 cards)
15.0
Card 1
Calculate the length of the
diagonal of a cube of side
length 10 cm.
18.2
Card 2
Calculate the length of
diagonal AB
B
4 cm
36
42
???
Set A8
17.3
A
36
15 cm
Card 5
17.9
A cube of side length x has a
diagonal of length 26 cm.
14.5
Card 4
The diagonal of this cuboid
is 19.5 cm. Find x
6 cm
Find x
42
36
42
???
Set A8
Card 6
Calculate the length of
diagonal AB
B
Calculate the length of the
diagonal of a cube of side
length 9.3 cm
13.6
6 cm
???
Set A8
Card 3
Card 7
12.2
x
12 cm
42
???
Set A8
A cube of side length x has a
diagonal of length 23.6 cm.
3 cm
36
16.6
Card 8
The diagonal of this cuboid
is 18 cm. Find x
3 cm
Find x
A
36
Set A8
42
???
36
Set A8
11 cm
7 cm
42
???
36
Set A8
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42
???
36
Set A8
x
3 cm
42
???
14.2
Card 9
13.4
Card 10
16.1
The diagonal of this cuboid
is 30 cm. Find x
Calculate the length of
diagonal AB
5 cm
36
Set A8
16 cm
x
7 cm
42
???
36
Set A8
2x
x
42
???
36
Set A8
www.mathsloops.co.uk
3 cm
42
???
17.5
Card 12
The diagonal of this cuboid
is 18.6 cm. Find x
Calculate the length of the
diagonal of a cube of side
length 8.4 cm
B
A
Card 11
36
Set A8
x
4 cm
42
???
Name ………………………………………………………...
Pythagoras in 3 dimensions
Name ………………………………………………………...
Pythagoras in 3 dimensions
ANSWERS
Card Set
ANSWERS
Card Set
A8
A8
TOTALS
TOTALS
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1
3
5
ANSWERS
Card Set
A8
7
10
11
6
12
TOTALS
42
36
www.mathsloops.co.uk
4
9
2
8
Using the Sine Rule (12 cards)
Card 1
21.2
Card 2
13.4
Find x
Find x
134°
9 cm
Find x
???
23°
48
???
Set A9
Find x
10.8
20 cm
x
???
48
48
Card 7
???
32.5
Card 8
Find x
80 cm
x
30 cm
28 cm
15 cm
55°
30
Set A9
30
Set A9
Find x
x
38°
4 cm
???
21.3
83°
Set A9
28°
48
Card 6
18 cm
30
8 cm
30
Set A9
Find x
64°
x
x
11 cm
x
30
Card 5
18.3
15.0
65°
48
Card 4
Find x
12 cm
30
Set A9
55.8
26°
x
Card 3
48
???
48°
30
Set A9
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48
???
x
17°
30
Set A9
48
???
14.8
Card 9
Find x
10.1
Card 10
65.5
Card 12
Find x
x
The shorter diagonal of a
rhombus is 18 cm. Two of
the interior angles are each
130°. Calculate the side
length of the rhombus
69°
19 cm
x
67°
89°
40 cm
33°
30
Set A9
10.3
Card 11
48
???
30
Set A9
48
???
30
Set A9
www.mathsloops.co.uk
48
???
The longer diagonal of a
rhombus is 26 cm. Two of
the interior angles are each
28°. Calculate the side
length of the rhombus
30
Set A9
48
???
Name ………………………………………………………...
Sine Rule
Name ………………………………………………………...
Sine Rule
ANSWERS
Card Set
ANSWERS
Card Set
A9
A9
TOTALS
TOTALS
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www.mathsloops.co.uk
1
5
9
ANSWERS
Card Set
A9
8
3
11
6
12
2
4
TOTALS
48
7
30
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10
Using the Cosine Rule (12 cards)
Card 1
77.3
Card 2
104.5
Find x
Find x
40 cm
80.2
Find x
x
70 cm
x
90 cm
40
???
Set A10
104.1
Find x
38
Set A10
???
45 cm
???
40
38
Set A10
???
73.9
x
Card 7
x
40 cm
124 cm
???
40
38
Set A10
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Card 8
Find x
75 cm
42 cm
40
???
96.2
x
134°
20 cm
38
Set A10
60 cm
Find x
x
42 cm
40
Set A10
Find x
160°
38
Card 6
90.8
x
30 cm
40
Card 5
30 cm
15 cm
38
Set A10
20 cm
12 cm
x
10 cm
95°
Card 4
120.0
Find x
90 cm
63°
38
Card 3
169°
40
???
38
Set A10
65 cm
???
40
Card 9
133.1
Card 10
85.5
Find x
Find x
97.2
Find x
x
8 cm
7 cm
x
100 cm
15 cm
38
Set A10
13 cm
???
40
71°
Find x
63°
10 cm
x
15 cm
x
40
???
Card 12
118.7
100 cm
38
Set A10
Card 11
38
Set A10
www.mathsloops.co.uk
40
???
38
Set A10
9 cm
???
40
Name ………………………………………………………...
Cosine Rule
Name ………………………………………………………...
Cosine Rule
ANSWERS
Card Set
ANSWERS
Card Set
A10
A10
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
6
3
10
ANSWERS
Card Set
8
2
11
A10
12
4
9
7
5
TOTALS
38
40
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Cosine and sine rule – including area of a triangle
Card 1
41.8
An isosceles triangle has
2 angles of 55° and
equal sides of length
15 cm. Calculate the
length of the third side
31
47
Set A11
???
An isosceles triangle has
2 sides of length
18 cm and a third side of
length 28 cm. Calculate
the size of the largest
angle.
31
47
???
Set A11
15 cm
47
???
47.3
The area of the triangle is 48 cm2.
16 cm
x
9 cm
31
Calculate angle x
47
???
Set A11
Card 7
41.6
Card 4
Card 8
59.6
Calculate x
Calculate x
7 cm
15 cm
12 cm
x
x
93°
17 cm
10 cm
65°
Set A11
31
7 cm
73°
31
A parallelogram has sides
of length 10 cm and 6 cm.
One angle of the
parallelogram is 115°.
Calculate the length of the
shortest diagonal
Card 6
9.2
Card 3
38.2
Set A11
Calculate the area
Calculate x
42°
Card 2
26.9
Card 5
17.2
(12 cards)
12 cm
x
???
47
31
Set A11
8 cm
47
???
31
Set A11
www.mathsloops.co.uk
12 cm
???
23 cm
47
31
Set A11
47
???
101.0
Card 9
43.3
Card 10
A rhombus has sides of
length 7cm. One of the
angles is 75°. Calculate
the area of the rhombus.
Find the area of an
equilateral triangle of
side 10 cm.
102.1
Card 11
A regular hexagon has
sides of length 4 cm.
Calculate the area of the
hexagon.
Card 12
47.6
The area of the triangle is
182.2 cm2. Find x
32°
x
18 cm
31
Set A11
47
???
31
Set A11
47
???
31
Set A11
www.mathsloops.co.uk
47
???
31
Set A11
47
???
Name ………………………………………………………...
Sine Cosine rule, area of a triangle mixture
Name ………………………………………………………...
Sine Cosine rule, area of a triangle mixture
ANSWERS
Card Set
ANSWERS
Card Set
A11
A11
TOTALS
TOTALS
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1
4
5
8
ANSWERS
Card Set
10
A11
9
7
11
TOTALS
31
47
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12
3
6
2
Using standard index form (12 cards)
Card 1
6
Card 2
2
Card 3
6.24 × 10
6.24 × 10
6.24 × 10
Card 4
3
–5
6.24 × 10
Express in standard
index form
Express in standard
index form
Express in standard
index form
Express in standard
index form
0.00624
62400
62.4
0.624
23
55
???
Set B1
6.24 × 10
–2
23
55
???
Set B1
Card 5
5
???
Card 6
4
55
???
Set B1
Card 8
–4
6.24 × 10
Work out
3
23
Card 7
6.24 × 10
Work out
2
55
Set B1
6.24 × 10
Work out
4
23
–3
Work out
-4
-3
5
4
( 1.56 × 10 ) × (4 × 10 )
(5.2 × 10 ) × (1.2 × 10 )
(3.12 × 10 ) ÷ (5 × 10 )
( 6.04 × 10 ) + (2 × 10 )
Give your answer in
standard form
Give your answer in
standard form
Give your answer in
standard form
Give your answer in
standard form
23
Set B1
???
55
23
Set B1
???
55
23
Set B1
www.mathsloops.co.uk
55
???
23
Set B1
???
55
1
Card 9
6.24 × 10
6.24 × 10
–1
Card 10
Card 11
7
Work out
-7
2
Card 12
6.24 × 10
6.24 × 10
Work out
Work out
4
Work out
-5
-6
6
-4
( 3.744 × 10 ) ÷ (6 × 10 )
( 7.8 × 10 ) × (8 × 10 )
( 6 × 10 ) + (2.4 × 10 )
( 1.04 × 10 ) × (6 × 10 )
Give your answer in
standard form
Give your answer in
standard form
Give your answer in
standard form
Give your answer in
standard form
1
23
Set B1
-3
???
55
23
Set B1
55
???
23
Set B1
www.mathsloops.co.uk
55
???
23
Set B1
55
???
Name ………………………………………………………...
Standard form index
Name ………………………………………………………...
Standard form index
ANSWERS
Card Set
ANSWERS
Card Set
B1
B1
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
5
8
ANSWERS
Card Set
B1
7
10
6
4
2
11
9
TOTALS
23
12
55
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3
Percentages mixture including reverse percentages and compound interest (16 cards)
424.48
Card 1
136.8
A bike is sold for £199.99
including 17.5% VAT.
Mick’s weekly wage is now
£343.75 following a 25%
increase.
What was the price of the
bike before the VAT was
added?
65
What was his wage before
the increase?
71
???
Set B2
679.43
Card 2
65
71
???
Set B2
Card 5
5.20
What percentage
increase is this?
What percentage
reduction is this?
Set B2
71
???
65
Set B2
If there are 245 female
members how many
members are the altogether?
65
71
Card 6
A coat priced at £57.00 is
reduced to £51.00 in a sale.
???
170.20
Card 4
Four friends share a meal
which costs £26.50. They
decided to leave a 20% tip
If the total is shared equally
how much will each
friend pay?
65
71
???
Set B2
Card 7
368.75
Card 8
Ashley scored 31 out of 40
in a test.
Increase £420 by 32%
What percentage
did he get?
71
???
300
65% of the members of a
sports club are male.
Set B2
Becky’s wage increases
from £5.31 per hour
to £6.05 per hour.
65
7.95
Card 3
65
Set B2
www.mathsloops.co.uk
71
???
65
Set B2
71
???
77.5
Card 9
71
???
Set B2
343
???
13.9
Card 14
71
65
Set B2
71
???
Card 11
Burt invests £4000 in a
savings account. If the
interest rate is 4% per
annum how much interest
will he have after 4 years?
65
71
Set B2
The population of Gemtown
at then end of 2006 was 354.
If the population had
increased by 18% during the
year what was the
population at the end of
2005?
How many degrees would
you need to show this on a
pie chart?
???
71
Set B2
In a survey 38% of people
picked football as their
favourite sport.
Set B2
65
Card 13
65
275
Dan invests £400 in a
savings. Interest is added at
2% per annum. How much
will he have in his account at
the end of 3 years?
Decrease £320 by 28%
65
700
Card 10
230.40
???
www.mathsloops.co.uk
The population of the Isle of
Lewis is 280. If it increases
by 7% each year what will
the population be after 3
years?
65
???
71
Set B2
Card 15
A market trader buys 25 kg
of apples at 40p per kg.
She makes 70% profit on the
first 20 kg of apples she
sells. The rest she sells for
80% of the price she paid for
them. How much profit did
she make ?
65
71
Set B2
554.40
Card 12
10.53
???
Card 16
In 2006 Nick raised £354 for
charity. This was 4% less
than he raised in 2005.
How much did he raise in
2005?
65
Set B2
71
???
Name ………………………………………………………...
Percentages mixture
Name ………………………………………………………...
Percentages mixture
ANSWERS
Card Set
ANSWERS
Card Set
B2
B2
TOTALS
TOTALS
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1
7
9
10
ANSWERS
Card Set
15
6
3
B2
16
4
TOTALS
8
65
71
14
5
12
11
2
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13
Expanding and simplifying brackets to form a quadratic expression
x2 - 8x +12
Card 1
x2 + 6x + 9
(16 cards)
Card 2
Card 3
x2 + 7x - 8
x2 + 4x - 5
Card 4
Expand and simplify
Expand and simplify
Expand and simplify
Expand and simplify
(x + 2)(x + 3)
(x - 2)(x + 3)
(x - 4)(x + 2)
(x - 4)(x - 2)
40
96
Set B3
x2 +4x -12
???
40
96
Set B3
Card 5
x2 +10x+25
???
40
96
???
Set B3
Card 6
Expand and simplify
Expand and simplify
(x + 3)(x + 4)
(x - 3)(x + 4)
(x - 5)2
Set B3
96
???
40
Set B3
96
???
40
Set B3
www.mathsloops.co.uk
96
x2 + x - 6
Card 8
Expand and simplify
(x - 5)(x + 5)
96
???
???
Set B3
Card 7
x2 + 8x - 9
Expand and simplify
40
40
40
Set B3
96
???
x2 - 2x - 8
Card 9
x2 + 7x +12
Expand and simplify
(x + 9)(x - 1)
40
96
Set B3
x2 - 6x + 5
???
Card 10
Card 12
x2 - 25
Expand and simplify
Expand and simplify
Expand and simplify
(x + 8)(x - 1)
(x + 5)2
(x - 5)(x - 1)
40
96
Set B3
Card 13
Card 11
x2 - 6x + 8
x2 + 5x + 6
???
40
96
Set B3
Card 14
x2 + x - 12
???
40
96
???
Set B3
Card 15
Card 16
x2 -10x+25
Expand and simplify
Expand and simplify
Expand and simplify
Expand and simplify
(x + 5)(x - 1)
(x - 2)(x + 6)
(x - 2)(x - 6)
(x + 3)2
40
Set B3
96
???
40
Set B3
96
???
40
Set B3
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96
???
40
Set B3
96
???
Name ………………………………………………………...
Expanding and simplifying brackets
Name ………………………………………………………...
Expanding and simplifying brackets
ANSWERS
Card Set
ANSWERS
Card Set
B3
B3
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
14
5
15
ANSWERS
Card Set
10
3
6
B3
9
11
TOTALS
7
40
96
4
13
16
12
8
www.mathsloops.co.uk
2
Factorising and solving quadratic equations
x=-1
x = 12
Card 1
x = -7
x= 4
Factorise and solve
2
x + 7x +10 = 0
59
77
???
Set B4
x=-2
x=-6
(16 cards)
Card 2
x= -2
x= -5
Card 3
Factorise and solve
Factorise and solve
x2 + 3x -10 = 0
x2 - 7x +10 = 0
x2 - x -12 = 0
59
77
???
Set B4
x=-2
x = 14
59
77
???
Set B4
Card 6
x= 2
x = 14
Factorise and solve
Factorise and solve
x2 + x - 12 = 0
x2 - 8x +12 = 0
x2 + 4x - 12 = 0
Set B4
???
59
Set B4
77
???
59
Set B4
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59
77
x=-3
x= 7
Card 8
Factorise and solve
x2 + 8x +12 = 0
77
???
???
Set B4
Card 7
Factorise and solve
77
Card 4
Factorise and solve
Card 5
59
x= 2
x= 5
59
Set B4
77
???
x=-4
x= 7
Card 9
x= 2
x=-5
Factorise and solve
2
x + x - 20 = 0
77
???
Set B4
x=-4
x= 5
59
x= 2
x=-6
2
x - 12x - 28 = 0
77
???
???
Set B4
Factorise and solve
Set B4
77
Card 13
59
x=-4
x= 3
Factorise and solve
x2 - 11x - 12 = 0
59
Card 10
Card 11
x=-5
x= 4
Card 12
Factorise and solve
Factorise and solve
x2 - x - 20 = 0
x2 - 4x - 21 = 0
59
77
???
Set B4
Card 14
x= 2
x= 6
59
77
???
Set B4
Card 15
x=-3
x= 4
Card 16
Factorise and solve
Factorise and solve
Factorise and solve
x2 + 3x - 28 = 0
x2 - 3x - 28 = 0
x2 - 16x +28 = 0
59
Set B4
77
???
59
Set B4
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77
???
59
Set B4
77
???
Name ………………………………………………………...
Factorising and solving quadratic equations
Name ………………………………………………………...
Factorising and solving quadratic equations
ANSWERS
Card Set
ANSWERS
Card Set
B4
B4
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
3
4
9
ANSWERS
Card Set
16
7
15
B4
14
6
TOTALS
2
59
77
13
11
10
5
8
www.mathsloops.co.uk
12
Rearranging formulae
(12 cards)
Card 1
2
x=a – b
2
51
???
x=3–b
a
2
x = ab – 3b
a = bx
a = x + b
Set B5
a =
51
???
Set B5
x=
Make x the subject
a=x + 3
b
a =x
b
Set B5
51
???
???
27
51
???
Set B5
Card 7
x=
Make x the subject
Card 8
a
b
Make x the subject
2
2
b=a x+3
b=a+ x
27
Set B5
51
x= a–b
Make x the subject
Card 4
a = bx + 3
27
Set B5
2
Make x the subject
bx
Card 6
2
b –3
a
2
x = (b – a)
Make x the subject
2
27
Card 5
27
Card 3
Make x the subject
Make x the subject
27
Card 2
2
x=b
3a
2
51
???
27
Set B5
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51
???
27
Set B5
51
???
Card 9
2
x= a b
Make x the subject
2
Set B5
2
2
Set B5
27
Set B5
b = 3ax
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51
???
Card 12
Make x the subject
b = 3 – ax
51
???
x=a–3
b
2
2
27
Card 11
Make x the subject
b = ax – 3
51
???
x = b –2 3
a
Make x the subject
a =b +x
27
Card 10
2
x=a
b
27
Set B5
51
???
Name ………………………………………………………...
Rearranging formula
Name ………………………………………………………...
Rearranging formula
ANSWERS
Card Set
ANSWERS
Card Set
B5
B5
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
9
7
ANSWERS
Card Set
B5
6
10
4
3
2
8
5
TOTALS
27
12
51
www.mathsloops.co.uk
11
Finding equations of straight lines in the form y = mx + c
y=1– ½ x
Card 1
y =3x + 2
41
y = 3x -1
???
41
???
y = 3x -3
37
Card 6
y= 2 - 2x
???
37
Card 7
37
Set B6
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41
y=4-x
Card 8
Find the equation of
the line that passes
through the points
(0,2) and (10,12)
41
???
???
Set B6
(0,-2) and (2,-8)
41
???
(0,2) and (3,-4)
Find the equation of
the line that passes
through the points
(0,-1) and (3,8)
Card 4
Find the equation of
the line that passes
through the points
41
Set B6
Find the equation of
the line that passes
through the points
Set B6
y= 2x - 2
(4,0) and (0,4)
???
37
Card 3
Find the equation of
the line that passes
through the points
41
Set B6
Find the equation of
the line parallel to the
line y = 3x - 7, that
passes through the
point (0,2)
Set B6
37
Card 5
37
y= 4 – 2x
(0,1) and (10,6)
(0,2) and (4,10)
Set B6
Card 2
Find the equation of
the line that passes
through the points
Find the equation of
the line that passes
through the points
37
(12 cards)
37
Set B6
41
???
y=½x + 1
Card 9
Find the equation of
the line parallel to the
line y = 4+2x, that
passes through the
point (0,-2)
37
Set B6
41
???
y= -3x - 2
Card 10
Find the equation of
the line parallel to the
line y = 7 – ½ x, that
passes through the
point (0,1)
37
Set B6
41
???
y=2x+2
Card 11
y=x+2
Find the equation of
the line parallel to the
line y = 7 – 2x, that
passes through the
point (0,4)
37
Set B6
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Find the equation of
the line parallel to
the line y = 4+3x,
that passes through
the point (0,-3)
41
???
Card 12
37
Set B6
41
???
Name ………………………………………………………...
Equations of straight lines
Name ………………………………………………………...
Equations of straight lines
ANSWERS
Card Set
ANSWERS
Card Set
B6
B6
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
10
ANSWERS
Card Set
B6
7
4
3
9
12
6
2
TOTALS
37
8
41
www.mathsloops.co.uk
5
Solving linear inequalities (16 cards)
x>1
Card 1
x≤4
x + 13 > 5x – 3
63
3x + 4 < 5x – 4
73
x>7
???
x>3
???
Card 6
???
63
Set B7
???
Card 7
???
63
Set B7
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73
x≥ –1
2
???
Card 8
Solve
8x – 1 < 3x + 24
73
63
Set B7
Solve
8x + 7 ≥ 6x + 15
73
10x – 2 ≥ 6x
73
x<4
Card 4
Solve
63
Set B7
Solve
4x + 3 < 6x + 7
x>4
7 – 2x ≤ 4x + 10
73
Set B7
Solve
Set B7
63
Card 5
63
x≤ –3
Card 3
Solve
Solve
Solve
Set B7
Card 2
73
???
3(x + 1) > 7x + 27
63
Set B7
73
???
x≥1
2
Card 9
x<2
Card 10
Solve
Solve
Solve
3(2x – 4) > 2(2x + 1)
9(x – 1) ≤ 4(2x – 3)
63
63
73
Set B7
???
x≤ –1
Card 13
Solve
???
x≥ –1
63
???
63
Set B7
73
???
x<5
73
???
73
???
Card 16
x < –6
Solve
63
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63
Card 15
4( 4x + 3) < 2(6x + 10)
12x + 2 ≤ 5x – 5
Set B7
10 – 3x ≥ 6 – 7x
Set B7
Solve
12x – 3 > 6x + 15
73
63
Card 14
x> –2
Card 12
Solve
7x + 7 > 17 – 3x
Set B7
Solve
x – 1 ≤ 3(5 – x)
Set B7
73
Set B7
x≥4
Card 11
73
???
63
Set B7
73
???
Name ………………………………………………………...
Solving linear inequalities
Name ………………………………………………………...
Solving linear inequalities
ANSWERS
Card Set
ANSWERS
Card Set
B7
B7
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
15
11
ANSWERS
Card Set
13
2
6
B7
4
14
TOTALS
10
63
73
12
5
3
9
16
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8
Solving simultaneous equations (16 cards)
Card 1
x = -2
y= ½
Card 2
x = -1
y= 1
Card 3
x=1
y = -1
Card 4
x=2
y=½
Solve simultaneously
Solve simultaneously
Solve simultaneously
Solve simultaneously
5x + 2y = 3
7x + y = 3
x – 2y = 7
10x – 2y = -8
2x – 2y = 4
2x + y = -2
x – 6y = 3
10x + y = 19
58
78
???
Set B8
58
78
Card 5
x=2
y = -3
Solve simultaneously
Solve simultaneously
Set B8
???
58
Set B8
78
???
58
78
???
Set B8
Card 7
Card 8
x=-2
y=3
Solve simultaneously
Solve simultaneously
4x – 2y = 2
x – 6y = -9
3x + y = 9
3x + 2y = 13
3x – y = -4
78
???
x= ½
y=-2
3x + 5y = 2
x+y=3
78
Set B8
Card 6
x=½
y=2
5x + 2y = 3
58
???
Set B8
58
58
Set B8
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78
???
58
Set B8
78
???
Card 9
x=1
y=9
Solve simultaneously
???
Set B8
x=2
y=3
x = -1
y=4
Card 12
Solve simultaneously
x–y=5
10x – 2y = 9
2x + y = 3
3x – 2y = 12
2x – 3y = 7
10x – y = 3
4x – y = -11
78
Card 11
x=1
y=3
Solve simultaneously
2x + 4y = 8
58
Card 10
x=9
y=1
58
78
???
Set B8
Card 13
58
78
???
Set B8
Card 14
x=-½
y=-2
Solve simultaneously
58
???
Set B8
Card 15
x=3
y=2
78
x=1
y=-4
Card 16
Solve simultaneously
Solve simultaneously
Solve simultaneously
Solve simultaneously
4x – 2y = 7
4x – y = 1
x + 8y = 2
2x – 3y = 5
3x – 4y = 4
2x + 2y = 8
3x – 2y = -7
58
Set B8
???
78
58
Set B8
78
???
58
Set B8
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78
???
58
Set B8
4x – 3y = 4
???
78
Name ………………………………………………………...
Solving simultaneous equations
Name ………………………………………………………...
Solving simultaneous equations
ANSWERS
Card Set
ANSWERS
Card Set
B8
B8
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
3
10
15
ANSWERS
Card Set
5
12
8
B8
6
9
TOTALS
2
58
78
4
13
16
7
11
www.mathsloops.co.uk
14
Completing tables for graphs of functions (16 cards)
Card 1
-1
Work out the missing value
-4
Work out the missing value
-1
0
3
1
4
2
7
69
x
y
67
???
Set B9
-1
-10
2
-1
-1
0
0
69
Set B9
???
y = 7 – 2x
x
y
1
5
67
???
-2
23
-1
3
0
-10
2
y=x +x
x
y
3
44
69
67
???
Set B9
1
5
x
y
67
???
-2
2
15
69
Set B9
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Card 8
Work out the missing value
3
2
y = 5x + 4x – 2x
4
95
x
y
67
???
2
12
???
2
2
0
-1
1
2
67
Set B9
Work out the missing value
3
0
0
2
69
y = x + 2x – 1
0
7
-2
Card 7
3
3
69
Set B9
-1
-12
Card 6
-8
y = 2x + 3x
-2
x
y
Work out the missing value
Work out the missing value
x
y
2
67
Set B9
Work out the missing value
Work out the missing value
3
1
10
Card 4
-2
y = 2x – 10
69
Card 5
-6
0
Card 3
1
y = 10
x
2
y=x +3
x
y
Card 2
-1
0
0
1
7
69
Set B9
2
52
67
???
Card 9
0
5
Work out the missing value
Work out the missing value
y = 16
3
x
x
y
-2
-1
-16
x
y
1
16
67
???
69
Set B9
x
y
???
1
2
-2
-1
8
0
1
Set B9
???
-10
x
y
-10
0
69
Set B9
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5
10
???
Set B9
Card 16
-3
Work out the missing value
2
y = 2x + 8x
x
y
5
48
67
???
0
67
Card 15
-5
-48
-5
-10
69
y = 6000
3
x
67
???
x
y
4
16
Work out the missing value
1
-6
69
3
8
3
x
y
y = 100
2x
67
y = 2x – 9x + 1
3
32
9
3
69
Card 14
-5
2
4
Set B9
Work out the missing value
67
???
2
24
67
2
1
8
1
9
y = 3x – x
69
y = 2x + 4x + 2
-1
0
0
0
Set B9
Work out the missing value
-3
-1
Card 13
4
x
y
2
Card 12
Work out the missing value
Work out the missing value
2
0
Card 11
6
y = 3x + 6x
69
Set B9
Card 10
-2
-1
-6
0
0
69
Set B9
1
10
67
???
Name ………………………………………………………...
Completing tables for graphs of functions
Name ………………………………………………………...
Completing tables for graphs of functions
ANSWERS
Card Set
ANSWERS
Card Set
B9
B9
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
13
15
7
ANSWERS
Card Set
5
8
14
B9
3
12
TOTALS
11
69
67
6
16
9
10
2
www.mathsloops.co.uk
4
Finding the nth term of a linear or quadratic sequence (12 cards)
2
2n
Card 1
10n-10
Find the nth term
Find the nth term
44
???
Set B10
2
n -3
34
3n + 5
Set B10
44
???
???
34
Card 6
34
Set B10
47, 44, 41, 38, 35
50 - 3n
???
34
Card 7
Set B10
n +1
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Card 8
Find the nth term
6, 12, 22, 36, 54
44
???
???
2
-2, 1, 6, 13, 22
34
44
Set B10
Find the nth term
44
???
n -n
Card 4
Find the nth term
44
Set B10
-2, 0, 2, 4, 6
2, 8, 18, 32, 50
2
2, 5, 10, 17, 26
Find the nth term
Find the nth term
Card 3
Find the nth term
44
Set B10
Card 5
34
2n - 4
-4, 2, 8 , 14, 20
7, 11, 15, 19, 23
34
Card 2
34
Set B10
44
???
4n + 3
Card 9
Find the nth term
2
2n + 4
Find the nth term
0, 10, 20, 30, 40
34
Set B10
2
n +n
34
Set B10
6n -10
34
Set B10
2, 6, 12, 20, 30
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44
???
Card 12
Find the nth term
8, 11, 14, 17, 20
44
???
Card 11
Find the nth term
0, 2, 6, 12, 20
44
???
Card 10
34
Set B10
44
???
Name ………………………………………………………...
Finding the nth term for quadratic and linear sequences
Name ………………………………………………………...
Finding the nth term for quadratic and linear sequences
ANSWERS
Card Set
ANSWERS
Card Set
B10
B10
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
5
7
4
9
2
ANSWERS
Card Set
12
11
B10
6
8
3
10
TOTALS
34
44
www.mathsloops.co.uk
Using circle theorems to calculate missing angles
Card 1
139°
Find x
(12 cards)
Card 2
48°
Find x
x
Card 3
33°
41°
Find x
Find x
65°
x
25°
O
x
222°
40
???
38
40
???
Set B11
Card 5
81°
x
135°
38
Set B11
Card 4
Find x
38
???
Set B11
Card 6
85°
40
Card 7
45°
40
???
Set B11
Find x
Find x
38
Card 8
30°
Find x
49°
x
O
O
O
x
x
x
60°
38
Set B11
42°
40
T
???
67°
38
Set B11
40
???
38
Set B11
www.mathsloops.co.uk
40
???
38
Set B11
T
40
???
Card 9
65°
Card 10
111°
67°
Find x
Find x
Find x
x
57°
85°
99°
O
82°
Set B11
40
???
38
Set B11
40
???
50°
Card 12
Find x
x
O
38
Card 11
38
Set B11
www.mathsloops.co.uk
x
x
40
???
38
Set B11
40
???
Name ………………………………………………………...
Circle theorems
Name ………………………………………………………...
Circle theorems
ANSWERS
Card Set
ANSWERS
Card Set
B11
B11
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
9
ANSWERS
Card Set
4
6
5
8
11
B11
3
2
7
12
TOTALS
40
38
www.mathsloops.co.uk
Distinguishing between formulae for perimeter, area and volume by considering dimensions
Card 1
1 ac
2
The letters a, b and c represent
lengths. Which of the following
could be an area?
ab
2
π ab
35
43
???
Set B12
π(a + 4b)
43
???
???
1 ac
2
2
43
35
Set B12
43
???
35
Set B12
www.mathsloops.co.uk
35
πa
The letters a, b and c represent
lengths. Which of the following
could be a perimeter?
2
π ab
???
2
3π(a + 2b)
a(2b – 3c)
2
ab
43
Card 8
2
a(b + c )
2
2
???
Set B12
The letters a, b and c represent
lengths. Which of the following
could be a perimeter ?
3π(a + 2b)
a(b + c )
Card 7
1 ab2
2
1(2a + 3c)
2
The letters a, b and c represent
lengths. Which of the following
could be an area?
2
43
Card 4
1 ac2
2π
a(2b – 3c)
???
Set B12
The letters a, b and c represent
lengths. Which of the following
could be an area ?
πa
1 ac2
2π
35
3π(a + 2b)
a(b + c)
1 ac
2
2
πa
Card 6
Card 5
1 ac2
2π
Card 3
2
The letters a, b and c represent
lengths. Which of the following
could be a perimeter?
π(a + 4b)
a(b + c)
35
1 ab2
2
π(a + 4b)
Set B12
1 ab2
2
2
a(b + c )
The letters a, b and c represent
lengths. Which of the following
could be a volume?
Set B12
The letters a, b and c represent
lengths. Which of the following
could be an area ?
35
a(b + c)
1(2a + 3c)
2
2
Card 2
(12 cards)
43
35
Set B12
43
???
Card 9
2
π ab
a(2b – 3c)
The letters a, b and c represent
lengths. Which of the following
could be a volume?
2
2
3π(a + 2b) a(b + c )
The letters a, b and c represent
lengths. Which of the following
could be a volume ?
Set B12
π ab
35
Set B12
ab
43
???
Card 11
2
πa
35
Set B12
www.mathsloops.co.uk
1 ac
2
Card 12
2
ab
The letters a, b and c represent
lengths. Which of the following
could be volume?
2
43
???
1(2a + 3c)
2
1(2a + 3c)
2
2
a(2b – 3c)
35
Card 10
1 ac2
2π
The letters a, b and c represent
lengths. Which of the following
could be a perimeter ?
1 ab2
2
π(a + 4b)
a(b + c)
43
???
35
Set B12
43
???
Name ………………………………………………………...
Using dimensions
Name ………………………………………………………...
Using dimensions
ANSWERS
Card Set
ANSWERS
Card Set
B12
B12
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
12
6
ANSWERS
Card Set
5
2
8
B12
7
3
9
4
11
TOTALS
43
35
www.mathsloops.co.uk
Using sine, cosine and tangent ratios to calculate an angle in a right-angled triangle
Card 1
48.2°
Card 2
27.3°
Calculate the angle x
Calculate the angle x
x
32
46
???
Set B13
Card 5
21.0°
20 cm
46
46
Set B13
???
Card 7
13.9°
9 cm
32
Calculate the angle x
32
Set B13
8 cm
???
32
Set B13
x
5 cm
x
x
46
20 cm
12 cm
18 cm
x
Card 8
17.5°
5 cm
4 cm
46
???
Set B13
Calculate the angle x
Calculate the angle x
Calculate the angle x
32
Card 6
35.0°
12 cm
6 cm
x
???
Set B13
84.3°
x
10 cm
32
Card 4
Calculate the angle x
Calculate the angle x
x
10 cm
Card 3
26.6°
15 cm
7 cm
(12 cards)
15 cm
46
???
32
Set B13
www.mathsloops.co.uk
46
???
32
Set B13
46
???
Card 9
22.6°
Calculate the angle x
Card 10
75.5°
Card 11
33.6°
Calculate the angle x
Calculate the angle x
48.6°
Calculate the angle x
x
15 cm
18 cm
Card 12
6 cm
10 cm
25 cm
x
32
Set B13
16 cm
46
???
x
x
32
Set B13
1 cm
46
???
32
Set B13
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14 cm
46
???
32
Set B13
46
???
Name ………………………………………………………...
Sine, Cosine and Tangent to calculate an angle
Name ………………………………………………………...
Sine, Cosine and Tangent to calculate an angle
ANSWERS
Card Set
ANSWERS
Card Set
B13
B13
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
2
9
7
6
11
ANSWERS
Card Set
5
3
B13
8
4
10
12
TOTALS
46
32
www.mathsloops.co.uk
Using sine, cosine and tangent ratios to calculate a side in a right-angled triangle
4.7 cm
Card 1
Calculate x
Calculate x
x
5.6 cm
???
x
Card 5
42
???
9.4 cm
Card 6
???
10 cm
36
Card 7
Calculate x
13.0 cm
Calculate x
36
Set B14
16 cm
57°
x
40°
28°
42
Card 8
x
20 cm
25°
42
???
Set B14
5 cm
x
???
42
11.5 cm
12 cm
Set B14
12 cm
36
Set B14
Calculate x
36
x
25°
x
36
Set B14
Calculate x
Calculate x
65°
30°
42
Card 4
18.9 cm
15 cm
10 cm
36
Card 3
17.7 cm
Calculate x
60°
Set B14
Card 2
7.5 cm
(12 cards)
x
42
???
36
Set B14
www.mathsloops.co.uk
42
???
36
Set B14
42
???
Card 9
6.0 cm
Calculate x
Card 10
5.1 cm
Calculate x
Calculate x
x
10 cm
Card 11
8.7 cm
x
x
15.7 cm
Card 12
Calculate x
15 cm
68°
7 cm
x
36
Set B14
12 cm
42
???
39°
32°
40°
36
Set B14
42
???
36
Set B14
www.mathsloops.co.uk
42
???
36
Set B14
42
???
Name ………………………………………………………...
Name ………………………………………………………...
Sine, Cosine and Tangent to calculate a missing side
Sine, Cosine and Tangent to calculate a missing side
ANSWERS
Card Set
ANSWERS
Card Set
B14
B14
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
7
9
ANSWERS
Card Set
12
2
10
B14
8
5
3
6
11
TOTALS
36
42
www.mathsloops.co.uk
Solving problems using trigonometry and Pythagoras – right angled triangles
Card 1
51.2
A
33
45
???
Set B15
34.9
33
Card 5
33
Set B15
???
33
Set B15
45
40 cm
???
???
A ship sails 45 km on a
bearing of 080°.
10.1
33
Card 7
Calculate the perimeter
of the field.
Set B15
www.mathsloops.co.uk
33
???
45
???
Set B15
Jed walked diagonally
across a rectangular field, a
distance of 15 m. The line he
walked made an angle of 65°
with a side of the field.
x
45
45
Card 6
46°
Calculate the length of
the diagonal.
33
Set B15
Calculate
the length x
A rectangle has sides of
length 9 cm and 15 cm.
17.5
How far east has it travelled?
???
53.2
Card 4
What is the distance
from P to Q?
45
Set B15
Card 3
A boat leaves port P and
sails 35 km west. It then
turns and sails 40 km south
to point Q.
What angle does the
ladder make with the
ground?
12 cm
B
8.5
A ladder of length 15 m is
placed so that it reaches
11 m up a wall.
10.5 cm
15 cm
Card 2
12.2
Calculate the length AB
(12 cards)
45
Card 8
47.2
Calculate the perimeter of
the triangle
7 cm
33
Set B15
9 cm
???
45
8.7
Card 9
44.3
Calculate the length AB
B
Find the length of the
line joining the points
with coordinates
(5,4) and (-2,-6).
Set B15
39.9
33
3 cm
Set B15
9 cm
???
45
33
Set B15
www.mathsloops.co.uk
45
???
Card 12
XYZ is an equilateral triangle
of side length 10 cm.
Calculate the height of the
triangle.
How far is Y from Z?
45
???
25.6
Card 11
From point X, Emily walks
12 km north to Y. She then
walks east to point Z. The
bearing of Z from X is 071°.
12 cm
A
33
Card 10
33
Set B15
45
???
Name ………………………………………………………...
Trigonometry and Pythagoras problems
Name ………………………………………………………...
Trigonometry and Pythagoras problems
ANSWERS
Card Set
ANSWERS
Card Set
B15
B15
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
6
7
12
ANSWERS
Card Set
9
2
3
B15
8
10
4
5
11
TOTALS
33
45
www.mathsloops.co.uk
Accuracy of measurement – solving problems involving upper and lower bounds
46
Card 1
What is the minimum
possible length of
the cable ?
48
Set B16
44.1675
???
What is the upper bound for
this temperature ?
48
???
Set B16
42
???
30
Card 6
What is the minimum height
of his pile?
30
48
???
48
???
Set B16
Ben makes a pile of 9 bricks,
each 4.8 cm thick, correct to
the nearest mm.
Set B16
43
Card 3
44.46
44
30
www.mathsloops.co.uk
30
Card 7
What is the maximum
distance he could have run?
Set B16
What is the shorted possible
length of the room?
48
???
48
???
Set B16
Ali jogs round the edge of a
field 12 times. The perimeter
of the fields is 3.70 km,
correct to the nearest 10 m.
Card 4
A hall is measured as 45m
long correct to the
nearest 5 m.
The temperature in an oven
is recorded as 45.1°C,
measured to the
nearest 0.1°C.
16m
X
Y
Z
What is the minimum distance
from X to Z?
30
48
Set B16
30
Card 5
The distances on this plan are
recorded to the nearest m
28m
Card 2
The dimensions of a
rectangle are measured to
the nearest cm.
It measures 13 cm by
10 cm. What is the
smallest possible value of
the perimeter?
A cable is recorded
as 50 m long, correct
to the nearest m.
30
44.75
(12 cards)
49.5
Card 8
A bag of sugar weighs
0.5 kg, correct to the nearest
100g. What is the minimum
possible weight of 100 bags
of sugar ?
30
Set B16
48
???
42.75
Card 9
A rectangular room
measures 5.9m by 7.6 m to
the nearest 0.1m. Calculate
the minimum possible value
for the area of the floor.
30
Set B16
48
???
42.5
Card 10
The distances on this plan are
recorded to the nearest m
28m
17m
X
Y
Z
What is the maximum distance
from X to Z?
30
Set B16
48
???
45
Card 11
James measures two angles
of a triangle, correct to the
nearest degree. They are
52° and 85°.
30
What is the minimum
possible value of the
third angle?
Set B16
www.mathsloops.co.uk
???
45.15
Card 12
The height of a flag plot is
given as 44.7m correct to the
nearest 0.1 m.
What is the upper bound for
this measurement?
48
30
Set B16
48
???
Name ………………………………………………………...
Limits of accuracy
Name ………………………………………………………...
Limits of accuracy
ANSWERS
Card Set
ANSWERS
Card Set
B16
B16
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
8
11
ANSWERS
Card Set
4
B16
7
2
12
TOTALS
30
48
www.mathsloops.co.uk
6
9
5
3
Extracting information from cumulative frequency diagrams and box plots (12 cards)
Card 2
Card 1
50
Cumulative Frequency
44
What is the median?
33
45
Find the lower quartile.
???
Set B17
33
45
???
Set B17
Card 4
Card 3
63
Cumulative Frequency
10
33
What is the median?
What is the median?
Set B17
???
45
33
Set B17
www.mathsloops.co.uk
45
???
Card 6
Card 5
61
Cumulative Frequency
13
33
Find the inter-quartile range.
45
Find the median
???
Set B17
33
45
???
Set B17
Card 8
Card 7
27
Cumulative Frequency
58
Find the inter-quartile range.
33
Set B17
Find the median
???
45
33
Set B17
www.mathsloops.co.uk
45
???
Card 10
Card 9
17
80
Find the inter-quartile range.
33
45
???
Set B17
33
Find the maximum value
???
Set B17
Card 12
Card 11
70
Cumulative Frequency
35
Find the median
33
Set B17
45
45
???
33
Find the inter-quartile range.
Set B17
www.mathsloops.co.uk
???
45
Name ………………………………………………………...
cumulative frequency and box plots
Name ………………………………………………………...
cumulative frequency and box plots
ANSWERS
Card Set
ANSWERS
Card Set
B17
B17
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
6
11
2
4
8
ANSWERS
Card Set
5
10
B17
9
7
3
12
TOTALS
45
33
www.mathsloops.co.uk
Inequalities - graphical (12 cards)
Card 2
Card 1
y< ½x +2
y > ½x-2
State the inequality satisfied by the
un-shaded region y
State the inequality satisfied by the
un-shaded region y
-4 -3 -2 -1
4
4
3
3
2
2
1
1
-1
1
2
3
4
x
-4 -3 -2 -1
-2
52
-4
???
Set B18
1
2
52
???
Set B18
Card 4
x+y<3
State the inequality satisfied by the
un-shaded region y
State the inequality satisfied by the
un-shaded region y
4
4
3
3
2
2
1
1
1
2
3
4
x
-4 -3 -2 -1
-2
26
Set B18
x
-4
y < x+1
-1
4
-3
26
Card 3
-4 -3 -2 -1
3
-2
-3
26
-1
-1
1
2
3
4
x
-2
-3
52
-4
???
26
Set B18
www.mathsloops.co.uk
-3
52
-4
???
Card 6
Card 5
y + 2x<4
y > 2x-1
State the inequality satisfied by the
un-shaded region y
-4 -3 -2 -1
State the inequality satisfied by the
un-shaded region y
4
4
3
3
2
2
1
1
-1
1
2
3
4
x
-4 -3 -2 -1
-3
52
-4
???
Set B18
1
2
52
???
Set B18
Card 8
y < 2x-1
State the inequality satisfied by the
un-shaded region y
State the inequality satisfied by the
un-shaded region y
4
4
3
3
2
2
1
1
1
2
3
4
x
-4 -3 -2 -1
-2
26
Set B18
x
-4
y+2x < -1
-1
4
-3
26
Card 7
-4 -3 -2 -1
3
-2
-2
26
-1
-1
1
2
3
4
x
-2
-3
52
-4
???
26
Set B18
www.mathsloops.co.uk
-3
52
-4
???
Card 10
Card 9
y > x -1
y+2x >-1
State the inequality satisfied by the
un-shaded region y
State the inequality satisfied by the
y
un-shaded region
4
-4 -3 -2 -1
4
3
3
2
2
1
1
-1
1
2
3
4
x
-4 -3 -2 -1
-2
52
-4
???
Set B18
2
???
Set B18
Card 12
y + 2x>4
State the inequality satisfied by the
un-shaded region y
State the inequality satisfied by the
un-shaded region y
4
4
3
3
2
2
1
1
1
2
3
4
-4 -3 -2 -1
x
2
3
4
x
-3
-3
52
26
-4
Set B18
-1
1
-2
-2
26
x
52
-4
x+y>3
-1
4
-3
26
Card 11
-4 -3 -2 -1
3
-2
-3
26
-1
1
???
Set B18
www.mathsloops.co.uk
52
-4
???
Name ………………………………………………………...
Inequalities
Name ………………………………………………………...
Inequalities
ANSWERS
Card Set
ANSWERS
Card Set
B18
B18
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
9
6
5
ANSWERS
Card Set
3
B18
11
8
12
TOTALS
26
52
www.mathsloops.co.uk
10
2
4
7
Finding lowest common multiples and highest common factors
2
Card 1
Find the highest
common factor of
28 and 49.
52
???
20
Find the lowest
common multiple of
52
84
15 and 75.
84
???
???
Set C1
Find the highest
common factor of
Set C1
6
Card 5
52
Card 2
18
8
Card 3
Find the highest
common factor of
42 and 70.
4 and 6.
84
Set C1
(16 cards)
52
Card 6
???
3
2 and 10.
26 and 65.
Set C1
???
52
Set C1
www.mathsloops.co.uk
52
84
Card 7
Find the highest
common factor of
84
Find the lowest
common multiple of
84
???
???
Set C1
Find the lowest
common multiple of
52
14
4 and 9.
84
Set C1
Card 4
12
Card 8
Find the highest
common factor of
54 and 81.
52
Set C1
84
???
11
Card 9
Find the highest
common factor of
12 and 42.
52
???
10
52
84
Card 13
22 and 38.
52
7
52
Set C1
84
Card 14
52
84
???
9
???
40
8 and 20.
52
www.mathsloops.co.uk
84
Card 15
4 and 10.
Set C1
52
36
Card 16
Find the highest
common factor of
33 and 88.
84
???
???
Set C1
Find the lowest
common multiple of
Card 12
Find the lowest
common multiple of
24 and 56.
Set C1
Find the highest
common factor of
Card 11
Find the highest
common factor of
39 and 45.
84
???
???
Set C1
Find the highest
common factor of
Set C1
Find the lowest
common multiple of
15
6 and 9.
84
Set C1
13
Card 10
52
Set C1
84
???
Name ………………………………………………………...
Lowest common multiples and highest common factors
Name ………………………………………………………...
Lowest common multiples and highest common factors
ANSWERS
Card Set
ANSWERS
Card Set
C1
C1
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
14
7
13
ANSWERS
Card Set
10
3
6
C1
4
11
TOTALS
16
52
84
5
15
9
12
8
www.mathsloops.co.uk
2
Expressing a number as a product of primes
5
Card 1
3
2×3×5
Express 36 as a
product of prime
numbers
37
???
2
2×3 ×5
2 ×5
2×5×7
???
Set C2
3
2 ×3
???
4
2 ×3
2
37
Set C2
www.mathsloops.co.uk
41
???
Set C2
Card 7
3
37
3
Card 8
Express 75 as a
product of prime
numbers
41
???
Card 4
Express 30 as a
product of prime
numbers
Express 125 as a
product of prime
numbers
41
???
Card 3
41
Set C2
Card 6
37
2
37
Express 27 as a
product of prime
numbers
41
???
2
Express 90 as a
product of prime
numbers
41
Set C2
Express 63 as a
product of prime
numbers
Set C2
Card 2
37
Card 5
37
2
Express 24 as a
product of prime
numbers
41
Set C2
(12 cards)
37
Set C2
41
???
2×3×5
Card 9
2
2 ×3
Express 70 as a
product of prime
numbers
37
Set C2
Card 10
Express 100 as a
product of prime
numbers
41
???
2
37
Set C2
41
???
2
3×5
Card 11
2
3 ×7
Express 144 as a
product of prime
numbers
37
Set C2
www.mathsloops.co.uk
Card 12
Express 150 as a
product of prime
numbers
41
???
37
Set C2
41
???
Name ………………………………………………………...
Expressing a number as a product of primes
Name ………………………………………………………...
Expressing a number as a product of primes
ANSWERS
Card Set
ANSWERS
Card Set
C2
C2
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
7
ANSWERS
Card Set
C2
11
8
3
6
12
2
9
TOTALS
37
5
41
www.mathsloops.co.uk
4
Dividing decimals – Non calculator
3
(16 cards)
Card 1
Work out
12
65
???
65
???
Set C3
Card 5
Work out
0.4
65
???
???
20
Card 7
www.mathsloops.co.uk
???
Card 8
Work out
65
Set C3
71
50
1 ÷ 0.5
1.44 ÷ 0.12
71
???
65
Set C3
Work out
65
Set C3
12 ÷ 0.4
71
Card 6
3.6 ÷ 0.04
71
Work out
65
Set C3
Work out
1.8 ÷ 0.03
Set C3
71
Card 4
4
3.6 ÷ 0.09
25 ÷ 0.5
71
9
6
Card 3
Work out
Work out
2.4 ÷ 0.6
Set C3
Card 2
71
???
65
Set C3
71
???
1.2
Card 9
Work out
0.5
65
???
65
Card 13
Work out
???
5
65
???
www.mathsloops.co.uk
???
2
Card 16
Work out
65
Set C3
71
Card 15
1.44 ÷ 1.2
71
???
65
Set C3
Work out
65
Set C3
???
40
1.8 ÷ 0.3
71
10 ÷ 0.5
71
Card 14
Card 12
Work out
65
Set C3
Work out
1.2 ÷ 0.4
Set C3
71
Set C3
30
3.6 ÷ 0.4
2.5 ÷ 0.5
71
60
90
Card 11
Work out
Work out
0.24 ÷ 0.6
Set C3
Card 10
0.25 ÷ 0.5
71
???
65
Set C3
71
???
Name ………………………………………………………...
Dividing by a decimal
Name ………………………………………………………...
Dividing by a decimal
ANSWERS
Card Set
ANSWERS
Card Set
C3
C3
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
12
13
ANSWERS
Card Set
7
2
5
C3
8
11
TOTALS
16
71
65
6
9
10
15
3
www.mathsloops.co.uk
14
Adding and subtracting mixed numbers – Non calculator
(12 cards)
Card 1
Card 2
4
1
12
Work out
2
32
3 23 – 1 14 =
46
???
3
2
3
=
???
5
www.mathsloops.co.uk
???
4
1
6
Card 8
Work out
32
Set C4
46
Card 7
7 – 21 =
3 10
5
2 12 – 1 45 =
46
???
32
Set C4
Work out
32
Set C4
???
1
4
Card 4
1 13 + 2 34 =
46
Card 6
3 =
1 12 + 2 10
46
3
4
Work out
32
Set C4
Work out
32
Set C4
???
1
12
Card 3
4 14 – 3 78 =
46
Set C4
Work out
1 16 –
32
Card 5
3
8
1
1
2
Work out
Work out
1 12 + 3 34 =
Set C4
1
8
46
???
32
Set C4
46
???
3 45
Card 9
Work out
7
8
Card 10
+ 1 14 =
2 13 + 1 56 =
46
???
1
2
32
Set C4
Card 11
Work out
Work out
32
Set C4
5
2 12
32
Set C4
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Card 12
Work out
1 56 + 1 14 =
3 14 – 2 12 =
46
???
7
10
46
???
32
Set C4
46
???
Name ………………………………………………………...
Addition and subtraction of mixed numbers
Name ………………………………………………………...
Addition and subtraction of mixed numbers
ANSWERS
Card Set
ANSWERS
Card Set
C4
C4
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
7
ANSWERS
Card Set
C4
11
5
12
3
9
2
8
TOTALS
46
6
32
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10
Multiplying and dividing fractions (12 cards)
Card 1
7
8
Work out
3
39
39
???
???
Card 6
2
15
1
4
39
???
???
1
39
Card 7
2
5
???
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Card 8
Work out
39
Set C5
???
1
3
2
3
1 ÷3
8 4
39
39
Set C5
Work out
39
Set C5
2 ÷1
9 3
39
1 14 ÷ 13
39
Work out
39
Set C5
Work out
1 13 ×
Set C5
39
Set C5
Work out
×
Card 4
5
6
1 ÷1
8 6
1
4
39
Card 5
2
3
1
2
Card 3
1
6
Work out
Work out
1 × 2
3
5
Set C5
Card 2
3
4
39
???
× 2 14
39
Set C5
39
???
3
Card 9
3
4
Work out
3
4
÷ 1 12
1
4
39
???
39
???
Work out
39
Set C5
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Card 12
1
2
1 18 ×
1 16 ÷ 56
× 3 13
39
Set C5
1
Card 11
1
2
Work out
Work out
39
Set C5
Card 10
9
10
39
???
4
5
39
Set C5
39
???
Name ………………………………………………………...
Multiplying and dividing fractions
Name ………………………………………………………...
Multiplying and dividing fractions
ANSWERS
Card Set
ANSWERS
Card Set
C5
C5
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
2
3
7
6
9
ANSWERS
Card Set
C5
11
10
4
8
TOTALS
39
12
39
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5
Solving problems involving ratios (16 cards)
Card 1
42
210
Card 2
The ratio of female members
to male members in a tennis
club is 7 : 5. If there are 119
female members, how many
members are male?
Anna, Bert and Cecil divide
£625 in the ratio 4 : 7 : 14
respectively.
How much does Cecil get?
Card 3
72
The ratio
4 hours : 1 week
can be rewritten as 1 : n
Find n.
60
76
???
Set C6
60
???
Set C6
Card 5
60
76
The ratio
260
can be rewritten as 1 : n
76
???
Set C6
Card 6
In a certain garden there
are 48 red flowers. If the
ratio of yellow flowers to red
flowers is 3:2 find the
number of yellow flowers.
5 cm : 2 m
60
350
Set C6
76
???
60
Set C6
76
???
If there are 224 boys, how
many girls are there?
60
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60
Card 7
In a primary school the ratio
of girls to boys is 5 : 4.
Set C6
Dev and Eric divide the
profits of their project in the
ratio 5 :11
If Eric’s share of the profits is
£385 how much profit did
they make altogether?
76
???
76
???
Set C6
Find n.
60
96
Card 4
85
Card 8
The scale of a map is
1 : 250000. The actual
distance between Grindle
and Hopp is 150 km.
What is the distance, in cm,
between these two places
on the map?
60
Set C6
76
???
Card 9
500
90
Card 10
The angles of a triangle are
in the ratio 2 : 5 : 8.
A plumber’s bill for mending
a boiler is £231. The ratio of
the cost of labour to the cost
of parts is 3:4.
Holly weighs 56 kg and Jaz
weighs 70 kg. If 900g of
chocolate is divided between
them in the ratio of their
weights, how much would
Jaz get?
What is the size of the
largest angle ?
What is the cost of labour?
60
76
???
Set C6
60
Card 13
54
76
???
Set C6
560
60
Card 14
On a map 5 cm represents
100 km. What distance, in km,
is represented by 13 cm?
Set C6
76
???
60
Set C6
60
76
???
76
???
Set C6
Find x if
3:8 = x : 560
280
Card 11
144
What is the size of the
largest angle?
60
Card 15
60
76
???
76
???
99
Card 16
The ratio of right-handed
people of left-handed
people in a club is 7:2. If 12
of the members are left
handed, how many
members are there in the
club?
What is the size of the
largest angle?
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The angles of a
quadrilateral are divided in
the ratio 1:1:1:2
Set C6
The angles of a triangle are
divided in the ration 1:2:3.
Set C6
40
Card 12
60
Set C6
76
???
Name ………………………………………………………...
Ratios
Name ………………………………………………………...
Ratios
ANSWERS
Card Set
ANSWERS
Card Set
C6
C6
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
11
3
ANSWERS
Card Set
9
16
6
C6
13
14
TOTALS
2
60
76
4
10
8
15
12
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5
Solving proportion and ratio questions using the unitary method (12 cards)
192
Card 1
Working on his own a painter
can paint 280m2 in 3 hours
30 minutes.
How much would he be able
to paint in 9 ½ hours?
36
42
???
Set C7
57
How much would it cost to
feed Burt for 50 days?
36
Card 5
36
42
???
42
???
110
36
Card 6
450
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42
???
Card 4
A snail moves at a constant
speed. It takes the snail
1 hour and 5 minutes to
cover 1.3 m
How many minutes will it
take to cover 2 m?
36
Card 7
36
Set C7
52
42
???
Set C7
What is the mass of 80 cm of
this pipe?
42
???
???
A pipe measuring 1.4m has a
mass of 315g.
What area would be
covered if 1846 g of seed
were used?
36
42
Set C7
For an area of 24m2, 852g
of grass seed is needed.
Set C7
180
Card 3
A cyclist covers 48 miles in 3
hours 20 minutes. If she
continues at this speed how
many minutes will it take her
to cycle 60 miles?
It costs £7.98 to feed Burt
the cat each week.
Set C7
To make 12 biscuits a recipe
uses 40g of raisins. How
many grams of raisins would
be needed to make 21
biscuits?
Set C7
483
Card 2
342
Card 8
A car uses 32 litres of petrol
when it travels 336 miles.
A full tank holds 46 litres.
How many miles will the car
be able to do with a full tank
of petrol?
36
Set C7
42
???
100
Card 9
A recipe to make 8 scones
uses 360g of flour.
To make 25 cakes a recipe
uses 400g of flour. How
much flour would be needed
to make 12 cakes?
36
Set C7
How much flour would be
needed to make 10 scones?
42
???
70
Card 10
36
Set C7
42
???
250
Card 11
In a mix for a building site,
50 kg of sand is mixed with
20 kg of cement. How much
sand would be needed to mix
with 44 kg of cement ?
36
Set C7
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42
???
760
Card 12
The cost of renting 118m2 of
office space is £3363.
What area could be rented
for £9747?
36
Set C7
42
???
Name ………………………………………………………...
Proportion and ratio - unitary method
Name ………………………………………………………...
Proportion and ratio - unitary method
ANSWERS
Card Set
ANSWERS
Card Set
C7
C7
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
12
9
ANSWERS
Card Set
4
6
8
C7
11
5
10
3
TOTALS
36
2
42
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7
Simplifying expressions involving indices (12 cards)
2x
Card 1
4
Simplify
2x × 3x
???
Simplify
???
4x
4
33
???
???
6
45
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???
3x
4
Card 8
Simplify
33
Set C8
45
Card 7
4
–2
10x × 1 x
2
4
???
33
Set C8
Simplify
33
Set C8
4
3x × 3x
2
x
45
6x
6x × 3x × x
3
9x
45
33
Card 6
2
3
2x
Card 4
2
Simplify
Set C8
Simplify
2x × x × 4
8x
Set C8
45
Card 5
2
Card 3
1 x2 × 8x2
2
33
Set C8
3
Simplify
4x × x
3
2x
45
2
x
2
4
33
x
6
Simplify
2
Set C8
Card 2
-2
x × 3x × 2x
45
???
33
Set C8
45
???
9x
Card 9
3
5x
Card 11
2
x
3 × x × 4x
3
6 × x
3
33
45
???
33
Set C8
4
???
4
5x × 2 x ÷ 10x
45
33
Set C8
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Card 12
4
Simplify
Simplify
4
2x ÷ 2x
Set C8
2
Simplify
Simplify
6
Card 10
45
???
2
6x ÷ 2x
6
–2
33
Set C8
45
???
Name ………………………………………………………...
Simplifying expressions involving indices
Name ………………………………………………………...
Simplifying expressions involving indices
ANSWERS
Card Set
ANSWERS
Card Set
C8
C8
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
6
7
ANSWERS
Card Set
C8
3
9
11
4
10
TOTALS
33
45
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5
12
8
2
Solving equations involving fractions (12 cards)
Card 1
12
Solve
15
52
???
Set C9
Solve
52
???
???
13
26
Set C9
x – 10 = 3
3
26
52
Card 6
???
???
9
Card 7
26
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52
???
52
???
20
Card 8
Solve
50 – 2x = 13
2
4x + 10 = 7
10
Set C9
26
Set C9
Solve
52
Card 4
Solve
Set C9
Solve
2x – 2 = 10
3
13 + x = 6
5
26
52
Set C9
10
7+x=3
9
26
Card 5
8
14
x+5 = 4
4
26
Card 3
Solve
Solve
x–7 = 2
3
Set C9
Card 2
26
Set C9
52
???
Card 9
11
17
Solve
Solve
26
52
???
26
Set C9
52
???
16
Card 11
26
Set C9
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50 – 4x = x – 5
6
52
???
19
Card 12
Solve
Solve
5x – 5 = 5
8
100 – 5x = 6
5
6x + 5 = 5
13
Set C9
Card 10
26
Set C9
52
???
Name ………………………………………………………...
Equations involving fractions
Name ………………………………………………………...
Equations involving fractions
ANSWERS
Card Set
ANSWERS
Card Set
C9
C9
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
6
ANSWERS
Card Set
C9
3
10
11
5
12
TOTALS
26
52
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7
2
9
4
Forming and solving linear equations (12 cards)
17
Card 1
Multiplying a number by 3
and subtracting 4 gives the
same result as adding 12 to
the number.
23
Card 2
A square has sides of length
(x + 5) cm. Find the value of
x if the perimeter is 64 cm
22
55
???
Set C10
20
23
Card 5
25
The angles of a triangle are
3x, 5x and 7x.
What is the value of x?
Find the value of x
55
???
Card 6
23
Set C10
23
???
13
Card 7
23
Set C10
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23
55
???
55
???
Set C10
I think of a number and
multiply it by 5, then subtract
20. My answer is the same as
subtracting 4 from my number
and multiplying the answer by
5. What was the number I
thought of?
55
???
55
Set C10
Kate buys 3 pens costing x
pence each and a ruler
which costs 4p more
than a pen.
If she spends 64p in total
what is the cost of a pen?
If the perimeter of the
rectangle is 140 cm, find x.
23
???
Set C10
A rectangle has length (2x+2)
and width (2x).
Set C10
55
24
Card 4
When 3 is added to a ‘x’ and
the answer multiplied by 2
the final result is 24
What is the number?
23
Card 3
11
Card 8
A chocolate bar costs x
pence. A bag of sweets cost
20p more than a bar of
chocolate. Jaz buys 2
chocolate bars and 3 bags
of sweets. If the total cost is
£1.80 find x.
23
Set C10
55
???
9
Card 9
I think of a number and take
away 5. I then multiply my
answer by 5. The result is
4 times the number I
started with.
What number did I think of?
23
Set C10
55
???
Card 10
12
The angles of a triangle are
(4x) , (2x –10) and (2x+30)
Find x
Card 11
15
8
When 8 is added to a
number and the result
doubled, the answer is the
same as trebling the
number and subtracting 6.
The angles in a quadrilateral
are
(x +15) , (5x +10)
(4x –10), and (5x)
Find x
23
Set C10
55
???
23
Set C10
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What is the number?
55
???
Card 12
23
Set C10
55
???
Name ………………………………………………………...
Forming and solving linear equations
Name ………………………………………………………...
Forming and solving linear equations
ANSWERS
Card Set
ANSWERS
Card Set
C10
C10
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
12
3
5
ANSWERS
Card Set
9
6
7
C10
11
10
4
8
2
TOTALS
23
55
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Trial and Improvement (8 cards)
Card 1
4.5
5.1
It is known that x lies
between 3 and 6. Use trial
and improvement to solve
2
26
???
3
correct to 1 decimal place
26
???
3.8
3
correct to 1 decimal place
10
Set C11
26
4.4
10
Card 7
2
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3
5x – x = 10
correct to 1 decimal place
correct to 1 decimal place
26
???
Card 8
It is known that x lies
between 3 and 6. Use trial
and improvement to solve
2
10
???
3.6
5x – 10x – 50 = 29
Set C11
26
Set C11
It is known that x lies between
3 and 6. Use trial and
improvement to solve
26
???
???
Set C11
2
correct to 1 decimal place
???
10
Card 6
x – x + x = 26
Set C11
2
correct to 1 decimal place
It is known that x lies
between 3 and 6. Use trial
and improvement to solve
26
3
2
correct to 1 decimal place
2x – 8x = 31
10
It is known that x lies
between 3 and 6. Use trial
and improvement to solve
x – x = 66
Set C11
2
3.2
3x + 2x = 46
10
It is known that x lies
between 3 and 6. Use trial
and improvement to solve
Card 4
2x – x = 29
Card 5
4.1
Card 3
It is known that x lies
between 3 and 6. Use trial
and improvement to solve
2
correct to 1 decimal place
Set C11
4.7
It is known that x lies
between 3 and 6. Use trial
and improvement to solve
x + 3x = 26
10
Card 2
10
Set C11
26
???
Name ………………………………………………………...
Trial and improvement
Name ………………………………………………………...
Trial and improvement
ANSWERS
Card Set
ANSWERS
Card Set
C11
C11
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
ANSWERS
Card Set
C11
6
1
4
8
7
3
5
2
TOTALS
10
26
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Calculating areas and perimeters of circles, semi-circles and quarters of circles (12 cards)
18.8
Card 1
???
30.8
Card 3
25.1
32
56.5
Calculate the perimeter of
the figure shown
5 cm
Calculate the area of the
figure shown
46
???
Set C12
Card 5
35.7
10 cm
32
Card 6
46
???
Set C12
32
Card 7
25.7
Set C12
???
32
Set C12
46
???
32
Set C12
6 cm
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46
???
Card 8
Calculate the perimeter of
the figure shown
8 cm
46
???
28.6
6 cm
8 cm
46
Set C12
Calculate the area of the
figure shown
Calculate the perimeter of
the figure shown
Calculate the area of the
figure shown
32
Card 4
8 cm
46
Set C12
78.5
Calculate the perimeter of
the figure shown
Calculate the area of the
figure shown
4 cm
32
Card 2
32
Set C12
46
???
50.3
Card 9
Calculate the area of the
figure shown
28.3
Calculate the perimeter of
the figure shown
10 cm
20.6
Card 11
Card 12
39.3
Calculate the perimeter of
the figure shown
Calculate the area of the
figure shown
6 cm
12 cm
10 cm
32
Set C12
Card 10
46
???
32
Set C12
46
???
32
Set C12
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46
???
32
Set C12
46
???
Name ………………………………………………………...
Area and perimeter of semi-circles
Name ………………………………………………………...
Area and perimeter of semi-circles
ANSWERS
Card Set
ANSWERS
Card Set
C12
C12
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
3
12
ANSWERS
Card Set
5
9
6
C12
2
10
7
4
11
TOTALS
46
32
www.mathsloops.co.uk
Calculating the volume of prisms (12 cards)
Card 1
250
286
Calculate the volume of the
prism shown
Calculate the volume of the
prism shown
5 cm
10 cm
46
???
Set C13
259
15 cm
32
245
Card 4
276
Calculate the volume of the
prism shown
Calculate the volume of the
prism shown
Card 5
8 cm
9 cm
46
12 cm
???
Set C13
Card 6
264
7 cm
10 cm
32
46
???
Set C13
Card 7
270
3.5 cm
32
46
???
Set C13
Calculate the volume of the
prism shown
Calculate the volume of the
prism shown
10 cm
Calculate the volume of the
prism shown
6.5 cm
Card 3
10 cm
3 cm
32
Card 2
251
Card 8
Calculate the volume of the
prism shown
25 cm
5 cm
2 cm
46
32
Set C13
???
5 cm
6 cm
32
Set C13
9.2 cm
46
???
32
Height = 0.5 cm
Set C13
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???
5 cm
46
32
Set C13
10 cm
46
???
Card 9
280
Calculate the volume of the
prism shown
Card 10
283
Calculate the volume of the
prism shown
265
Card 11
275
Card 12
Calculate the volume of the
prism shown
Calculate the volume of the
prism shown
1 cm
32
Set C13
4 cm
???
46
4 cm
6 cm
10 cm
32
Set C13
22 cm
9 cm
46
???
32
Set C13
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46
9 cm
???
3.3 m
32
Set C13
46
???
Name ………………………………………………………...
Volume of prisms
Name ………………………………………………………...
Volume of prisms
ANSWERS
Card Set
ANSWERS
Card Set
C13
C13
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
6
8
ANSWERS
Card Set
4
12
9
C13
5
3
7
2
11
TOTALS
46
32
www.mathsloops.co.uk
Calculating the surface area of cylinders and prisms (12 cards)
Card 1
240
284
Card 2
Work out the surface area.
5 cm
20 cm
31
Card 4
251
Work out the surface area.
Work out the surface area.
18 cm
6 cm
3 cm
47
???
271
254
Calculate the surface area of
a cylinder of height 2.5 cm
and a diameter of 10 cm.
4 cm
Set C14
Card 3
31
47
???
Set C14
Card 5
269
31
Card 6
6 cm
47
???
Set C14
Work out the surface area.
Work out the surface area.
Radius = 2 cm
31
8 cm
???
Set C14
Card 7
252
47
Card 8
242
Work out the surface area.
Work out the surface area.
23 cm
3 cm
15 cm
10 cm
7 cm
31
Set C14
47
???
6 cm
12 cm
31
Set C14
4.5 cm
47
9 cm
???
Diameter = 3 cm
31
Set C14
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47
???
31
Set C14
13 cm
12 cm
???
5 cm
47
225
Card 9
231
Card 10
7 cm
15 cm
31
Set C14
47
???
Card 12
236
Work out the surface area.
Work out the surface area.
1 cm
264
Card 11
Work out the surface area of
a cube of side length 6.7 cm
Work out the surface area of
a cylinder with a radius of
6 cm and a length of 1.2 cm
13 cm
5.5 cm
31
Set C14
47
???
31
Set C14
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47
???
31
Set C14
5 cm
12 cm
???
47
Name ………………………………………………………...
Surface area of prisms and cylinders
Name ………………………………………………………...
Surface area of prisms and cylinders
ANSWERS
Card Set
ANSWERS
Card Set
C14
C14
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
7
10
ANSWERS
Card Set
6
2
5
C14
12
11
4
3
9
TOTALS
31
47
www.mathsloops.co.uk
Solving problems using angle properties of parallel and intersecting lines
Card 1
70°
Find x
Card 2
85°
Find x
x
(12 cards)
Card 3
110°
Find x 145°
x
Card 4
40°
Find x
125°
35°
45°
35°
50° 80°
x
x 70°
33°
31
47
???
Set C15
95°
82°
31
???
Set C15
Card 5
Find x
47
65°
31
47
???
Set C15
Card 6
Card 7
75°
47
???
Set C15
Card 8
125°
Find x
Find x
Find x
31
70°
50°
95°
x°
31
Set C15
x
80°
47
???
75°
31
Set C15
x
110°
x
50°
47
???
50°
31
Set C15
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47
???
31
Set C15
47
???
Card 9
45°
Find x
Card 10
50°
105°
60°
105°
x
55°
47
???
x
20°
60°
55°
31
Card 12
Find x
Find x
Find x
x
Set C15
Card 11
31
Set C15
x
47
???
31
Set C15
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47
???
31
Set C15
40° 45°
???
47
Name ………………………………………………………...
Parallel and intersecting lines
Name ………………………………………………………...
Parallel and intersecting lines
ANSWERS
Card Set
ANSWERS
Card Set
C15
C15
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
7
9
ANSWERS
Card Set
3
8
4
C15
12
11
6
2
5
TOTALS
31
47
www.mathsloops.co.uk
Calculating interior and exterior angles of polygons (12 cards)
Card 1
130°
150°
Find x
Calculate an exterior angle
of a regular octagon
Card 2
165°
120°
Card 3
70°
Calculate the volume of the
prism shown
x
60°
x
135°
125°
45°
165°
37
41
???
Set C16
37
41
Card 5
145°
95°
???
41
100°
???
100°
Set C16
41
Set C16
165°
???
Card 8
75°
120°
x
37
37
Calculate the volume of the
prism shown
x
95°
41
Calculate an interior angle of
a regular octagon
Card 7
150° 105°
x
Set C16
Card 6
155°
100°
37
Set C16
Find x
Find x
37
???
Set C16
45°
Card 4
85°
150°
41
???
37
Set C16
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Calculate an exterior angle
of a regular pentagon
140°
41
???
37
Set C16
41
???
Card 9
105°
Find x
72°
Find x
x
25°
37
Set C16
Card 10
Find x
x
35°
80°
???
Find x
x
115°
25°
37
Set C16
75°
???
41
www.mathsloops.co.uk
x
50°
37
Set C16
35°
75°
55°
41
Card 12
135°
85°
65°
210°
75°
60°
Card 11
41
???
37
80°
Set C16
65°
???
41
Name ………………………………………………………...
Interior and exterior angles of polygons
Name ………………………………………………………...
Interior and exterior angles of polygons
ANSWERS
Card Set
ANSWERS
Card Set
C16
C16
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
6
4
12
ANSWERS
Card Set
9
2
3
C16
7
10
8
5
11
TOTALS
37
41
www.mathsloops.co.uk
Compound measures
225
(12 cards)
Card 1
A train travels 280 km in 3
hours 30 minutes.
A train travels at 80 km/h for
2 hours and then it slows to
do the last 20 minutes of it’s
journey at 60 km/h. What is
the distance of the journey?
What is the average speed
of the train?
38
40
???
Set C17
14.4
38
Card 5
38
???
90
24
38
Set C17
40
40
???
???
Set C17
Card 6
38
Card 3
A cyclist travels along a road
at an average speed of 18
km/h. How far will he travel
in 45 seconds?
(Answer in metres)
80
Kay runs at an average speed
of 4 m/s. What distance will
she have covered if she
maintains this speed for 1
hour and 15 minutes.
Answer in km
40
???
40
Set C17
It takes a motorist 1 hour
and 12 minutes to drive to
work when he drives at an
average speed of 40 mph.
What is the distance of his
journey?
Set C17
27
Card 2
Express this as km/h
38
Card 7
38
www.mathsloops.co.uk
An express train travels at an
average speed of 25 m/s.
???
60
Card 8
It takes a motorist 1 hour
and 12 minutes to drive to
work when he drives at an
average speed of 40 mph.
How much longer (in
minutes) would it take if he
drove at 30 mph?
40
???
40
Set C17
Change 4 m/s into
kilometres per hour.
Set C17
119
Card 4
38
Set C17
40
???
300
Card 9
Emily leaves Belper at
7.50 am and arrives in
Matlock at 8.10 am. If the
distance between the two
places is 9 miles what is
Emily’s average speed in
miles per hour?
38
Set C17
???
18
Card 10
An athlete runs at an average
speed of 10 m/s. How many full
laps of a 400m track can he
complete in 40 minutes?
40
38
Set C17
40
???
180
Card 11
If a train travels for 1 hour
and 10 minutes at an
average speed of 102 km/h,
how far will it have travelled?
38
Set C17
www.mathsloops.co.uk
40
???
48
Card 12
If a car travels at a steady
speed of 72 km/h, how many
metres will it travel in 15
seconds ?
38
Set C17
40
???
Name ………………………………………………………...
Speed distance and time
Name ………………………………………………………...
Speed distance and time
ANSWERS
Card Set
ANSWERS
Card Set
C17
C17
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
3
7
5
ANSWERS
Card Set
12
9
8
C17
2
10
6
4
11
TOTALS
40
38
www.mathsloops.co.uk
Using Pythagoras’ Theorem (12 cards)
Card 1
14.4
Card 2
15.0
Calculate x
Calculate x
Card 3
11.1
Card 4
10.4
Calculate x
Calculate x
x
x
12 cm
20 cm
8 cm
39
39
7 cm
???
Set C18
14.3
39
39
???
???
Set C18
13.0
39
Card 6
Set C18
Card 7
Set C18
www.mathsloops.co.uk
39
???
Set C18
19.4
Card 8
A ship leaves port P and
sails 10 km north. It then
turns and sails 3 km east.
20 cm
39
11 cm
39
Calculate the height of the
triangle
39
???
???
17.0
Calculate the length of the
diagonal of the rectangle.
39
39
15 cm
Set C18
A rectangle measures
12 cm by 8 cm.
A ladder of length 12 m is
leaning against a wall. The
foot of the ladder is 4.5 m
from the wall. How far up the
wall will the ladder reach?
Set C18
39
Card 5
x
15 cm
39
x
11 cm
How far is the ship
from P?
10 cm
???
39
39
Set C18
39
???
13.9
Card 9
13.2
Card 10
15.6
Card 11
Calculate x
Calculate the length of the
diagonal of the square of
side length 10 cm.
39
Set C18
Calculate the height of an
equilateral triangle of side
length 15 cm
39
???
39
Set C18
15 cm
39
???
39
6 cm
Set C18
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The diagonal of a rectangle
is 18 cm. If the shorter side
of the rectangle is 10 cm,
find the length of the longer
side.
x
4 cm
???
14.1
Card 12
39
39
Set C18
39
???
Name ………………………………………………………...
Pythagoras theorem
Name ………………………………………………………...
Pythagoras theorem
ANSWERS
Card Set
ANSWERS
Card Set
C18
C18
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
6
9
12
ANSWERS
Card Set
10
C18
3
5
11
TOTALS
39
39
www.mathsloops.co.uk
2
7
8
4
Estimating the mean from grouped data
41.3
(8 cards)
Card 1
39.0
Card 2
Calculate an estimate for the mean
Frequency
0 < x ≤ 10
0
10 < x ≤ 20
2
20 < x ≤ 30
7
30 < x ≤ 40
15
40 < x ≤ 50
28
50 < x ≤ 60
10
Calculate an estimate for the mean
Frequency
15 < x ≤ 25
4
25 < x ≤ 35
10
35 < x ≤ 45
15
45 < x ≤ 55
18
55 < x ≤ 65
3
65 < x ≤ 75
1
14
14
22
???
Set C19
41.8
Calculate an estimate for the mean
Frequency
30 < x ≤ 35
10
35 < x ≤ 40
20
40 < x ≤ 45
35
45 < x ≤ 50
30
50 < x ≤ 55
15
55 < x ≤ 60
6
Set C19
22
???
???
Set C19
Card 5
14
22
41.0
Calculate an estimate for the mean
Frequency
36 < x ≤ 38
0
38 < x ≤ 40
10
40 < x ≤ 42
25
42 < x ≤ 44
9
44 < x ≤ 46
3
46 < x ≤ 48
1
14
22
Card 6
14
22
???
???
Set C19
Calculate an estimate for the mean
Frequency
37 < x ≤ 38
6
38 < x ≤ 39
16
39 < x ≤ 40
27
40 < x ≤ 41
34
41 < x ≤ 42
7
42 < x ≤ 43
1
Set C19
36.3
Card 3
44.1
www.mathsloops.co.uk
0 < x ≤ 50
50 < x ≤ 100
100 < x ≤ 150
150 < x ≤ 200
Frequency
40
7
3
1
22
???
Frequency
88
16
3
1
14
Card 7
14
Set C19
Calculate an estimate for the mean
22
???
Set C19
Calculate an estimate for the mean
20< x ≤ 40
40 < x ≤ 60
60 < x ≤ 80
80 < x ≤ 100
39.8
Card 4
36.6
Card 8
Calculate an estimate for the mean
Frequency
10 < x ≤ 20
3
20 < x ≤ 30
10
30 < x ≤ 40
18
40 < x ≤ 50
29
50 < x ≤ 60
7
14
Set C19
22
???
Name ………………………………………………………...
Mean from grouped data
Name ………………………………………………………...
Mean from grouped data
ANSWERS
Card Set
ANSWERS
Card Set
C19
C19
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
ANSWERS
Card Set
C19
6
1
4
3
8
7
5
2
TOTALS
14
22
www.mathsloops.co.uk
Equations of straight line graphs (12 cards)
Card 1
y=x -2
Card 2
y=4x - 2
y=2– 2x
-3
-2
-1
5
5
5
4
4
4
4
3
3
3
3
2
2
2
2
1
1
1
-1
-3
1
2
3
4
-2
26
-2
???
26
-1
3
4
5 x
-3
-2
-1
-3
-3
52
26
5
4
4
3
3
2
2
1
1
1
2
3
4
5 x
-3
-2
-1
-1
-2
-2
-3
-3
52
???
3
4
5 x
-3
-2
-1
52
1
2
3
4
5 x
???
-2
-1
???
26
Set C20
www.mathsloops.co.uk
3
4
5 x
???
y
5
5
4
4
3
3
2
2
1
1
-1
Card 8
2y+ x=4
1
2
3
4
5 x
-3
-2
-1
-1
1
2
3
4
5 x
-2
-2
52
2
52
Set C20
Card 7
x + y =2
-3
1
-1
-3
26
y
26
Set C20
2
-2
Set C20
Card 6
y=2 - 4x
1
-1
-2
y
26
Set C20
2
-2
5
-1
1
???
y
-2
-1
Set C20
Card 5
y= x + 1
-1
x
5
52
-3
Set C20
-3
y
5
1
Card 4
2y+x =2
y
y
y
Card 3
-3
-3
52
???
26
Set C20
52
???
Card 9
y=2x - 2
-2
-1
Set C20
y
y
5
5
5
4
4
4
4
3
3
3
3
2
2
2
2
1
1
1
1
-1
1
2
3
4
5 x
-3
-2
-1
-1
1
2
3
4
5 x
-3
-2
-1
-2
-3
52
???
26
Set C20
-1
1
2
3
4
5 x
-3
-2
52
???
26
Set C20
www.mathsloops.co.uk
-1
-1
1
2
3
4
5 x
-2
-2
-3
Card 12
y=4-2x
5
-2
26
Card 11
y=½x+1
y
y
-3
Card 10
2y=x+4
-3
-3
52
???
26
Set C20
52
???
Name ………………………………………………………...
Equations of straight line graphs
Name ………………………………………………………...
Equations of straight line graphs
ANSWERS
Card Set
ANSWERS
Card Set
C20
C20
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
6
9
4
ANSWERS
Card Set
11
C20
8
5
12
TOTALS
26
52
www.mathsloops.co.uk
10
2
7
3
Reflections and Rotations (12 cards)
Card 2
Card 1
(2, -3)
(4, 3)
What will be the coordinates of A
after a reflection in the x-axis?
What will be the coordinates of A
after a reflection in the y-axis?
4
4
y
y
3
3
xA
2
1
1
-4 -3 -2 -1
-1
1
2
4 x
3
-4 -3 -2 -1
-3
39
-4
???
Set C21
1
-1
2
-3
39
39
-4
???
Set C21
Card 4
Card 3
(-2, -1)
(0, 3)
What will be the coordinates of A after
a reflection in the yline y=1½ ?
What will be the coordinates of A
after a reflection in the line x=3 ?
y
4
4
3
3
x
2
A
-1
Set C21
A
1
1
2
3
4 x
-4 -3 -2 -1
-1
1
2
3
4 x
-2
-2
39
x
2
1
-4 -3 -2 -1
4 x
3
-2
-2
39
xA
2
-3
39
-4
???
39
Set C21
www.mathsloops.co.uk
-3
39
-4
???
Card 6
Card 5
(-2, 1)
(-3, 2)
What will be the coordinates of A
after a reflection in the line y=1?
What will be the coordinates of A
after a reflection in the line x=1?
y
4
x
3
-4 -3 -2 -1
y
4
A
2
2
1
1
1
-1
2
4 x
3
-4 -3 -2 -1
-2
1
-1
A
2
4 x
3
-2
-3
39
x
3
39
-4
???
Set C21
-3
39
39
-4
???
Set C21
Card 8
Card 7
(3, 1)
(3, -2)
What will be the coordinates of A
after a reflection in the line y = x?
What will be the coordinates of A
after a reflection in the line x=2 ?
4
4
3
3
y
y
A
2
-1
1
2
3
-4 -3 -2 -1
4 x
Set C21
-1
1
2
3
4 x
-2
-2
39
x
1
1
-4 -3 -2 -1
A
2
x
-3
39
-4
???
39
Set C21
www.mathsloops.co.uk
-3
39
-4
???
Card 10
Card 9
(2, -1)
(-2, -3)
What will be the coordinates of A after
a rotation, 90° clockwise, centre (0,0)?
y
What will be the coordinates of A after
a reflection in the line y=2?
y
4
4
3
A
2
A
x
x
3
2
1
-4 -3 -2 -1
1
1
-1
2
4 x
3
-4 -3 -2 -1
-2
2
39
-4
???
Set C21
-3
39
39
-4
???
Set C21
Card 12
Card 11
(2, 3)
(1, 2)
What will be the coordinates of A
after a reflection in the line y=0 ?
What will be the coordinates of A
after a reflection in the line y=1?
y
y
4
4
A
x
3
A
2
x
-1
1
2
3
4 x
-4 -3 -2 -1
Set C21
2
-1
1
2
3
4 x
-2
-2
39
3
1
1
-4 -3 -2 -1
4 x
3
-2
-3
39
1
-1
-3
39
-4
???
39
Set C21
www.mathsloops.co.uk
-3
39
-4
???
Name ………………………………………………………...
Reflections and Rotations
Name ………………………………………………………...
Reflections and Rotations
ANSWERS
Card Set
ANSWERS
Card Set
C21
C21
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
7
12
ANSWERS
Card Set
9
2
11
C21
5
8
3
6
10
TOTALS
39
39
www.mathsloops.co.uk
Probability – sample space and tree diagrams (8 cards)
Card 1
35
36
A coin is tossed and a fair die rolled.
What is the probability of getting an
even number on the die and a head
on the coin?
1
2
3
4
5
Card 2
5
12
A coin is tossed 3 times in
succession
6
What is the probability of getting two
heads and a tail (in any order) ?
Head
Tails
16
20
???
Set C22
16
???
Set C22
Card 3
1
3
20
3
8
Card 4
Two fair dice are rolled and the
scores added. What is the probability
of getting a total greater than 9?
1 2 3 4 5 6
1
2
3
4
5
6
9
16
Set C22
Three coins are tossed at the
same time. What is the probability
of getting more heads than tails?
20
???
16
Set C22
www.mathsloops.co.uk
20
???
Card 5
1
4
The probability of passing a test is ½
Jake and Beth take the test.
What is the probability that at least
one of them passes the test ?
Beth
½
Jake
???
16
Win
20
???
Set C22
Card 7
1
2
Two fair dice are rolled and the
difference in their scores noted.
What is the probability of getting a
difference greater than 2?
Set C22
Game 2
Game 1
Win
20
Set C22
16
1
.
6
If Emily plays the game twice what is the
probability that she wins at least once
The probability of winning a game is
Pass
16
1
2
3
4
5
6
1
6
Pass
½
Card 6
1 2 3 4 5 6
4
3
4
Card 8
A coin is tossed and a fair die
rolled. If the coin shows a head the
score on the die is doubled and
noted. If the coin shows a tail the
score on the die is noted.
What is the probability of getting a
score of 6 or more ?
0
3
20
???
16
Set C22
www.mathsloops.co.uk
20
???
Name ………………………………………………………...
Probability - Sample space and Tree Diagrams
Name ………………………………………………………...
Probability - Sample space and Tree Diagrams
ANSWERS
Card Set
ANSWERS
Card Set
C22
C22
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
ANSWERS
Card Set
C22
5
1
8
6
2
3
7
4
TOTALS
16
20
www.mathsloops.co.uk
Multiplying decimals – Non calculator
0.2
(16 cards)
Card 1
Work out
9
48
???
48
Card 5
Work out
0.048
???
48
???
www.mathsloops.co.uk
???
0.9
Card 8
Work out
48
Set D1
88
Card 7
3.3 × 0.3
4.5 × 0.4
88
???
48
Set D1
Work out
48
Set D1
???
1.26
2.4 × 0.5
88
1.5 × 0.6
88
Card 6
Card 4
Work out
48
Set D1
Work out
2.5 × 0.8
Set D1
88
Set D1
0.042
4.2 × 0.3
1.2 × 0.4
88
0.18
0.016
Card 3
Work out
Work out
0.8 × 0.2
Set D1
Card 2
88
???
48
Set D1
88
???
0.12
Card 9
Work out
0.09
48
???
48
Card 13
Work out
???
0.48
48
???
www.mathsloops.co.uk
???
1.8
Card 16
Work out
48
Set D1
88
Card 15
0.6 × 0.15
88
???
48
Set D1
Work out
48
Set D1
???
0.16
0.12 × 0.4
88
15 × 0.6
88
Card 14
Card 12
Work out
48
Set D1
Work out
0.4 × 0.45
Set D1
88
Set D1
2
0.8 × 0.25
0.08 × 0.2
88
0.99
1.2
Card 11
Work out
Work out
0.3 × 0.14
Set D1
Card 10
0.5 × 0.24
88
???
48
Set D1
88
???
Name ………………………………………………………...
Multiplying decimals
Name ………………………………………………………...
Multiplying decimals
ANSWERS
Card Set
ANSWERS
Card Set
D1
D1
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
15
10
11
ANSWERS
Card Set
3
7
6
D1
16
14
TOTALS
9
48
88
2
12
4
5
13
www.mathsloops.co.uk
8
Adding and subtracting fractions – Non calculator
Card 1
3
10
Work out
11
15
33
???
Work out
???
1
4
Card 7
www.mathsloops.co.uk
???
Card 8
Work out
33
Set D2
45
1
6
9 – 2=
10
5
7 – 1 =
10
2
45
???
33
Set D2
Work out
33
Set D2
45
Card 6
5 – 2 =
3
6
45
???
3
5
33
Set D2
Work out
4 – 1=
5
2
33
???
Card 4
1 – 1 =
2
4
2 + 1=
5
5
45
Card 5
5
6
9
20
Work out
Work out
33
Set D2
Card 3
17
20
1 + 1 =
2
3
45
Set D2
Card 2
Work out
1 + 1 =
2
4
Set D2
(12 cards)
45
???
33
Set D2
45
???
3
4
Card 9
Work out
1
5
33
2 + 1 =
5
3
45
???
1
2
33
Set D2
Card 11
Work out
Work out
1 + 3=
4
5
Set D2
Card 10
33
Set D2
www.mathsloops.co.uk
Card 12
Work out
7 – 1 =
4
10
1 + 3 =
6
4
45
???
11
12
45
???
33
Set D2
45
???
Name ………………………………………………………...
Addition and subtraction of fractions
Name ………………………………………………………...
Addition and subtraction of fractions
ANSWERS
Card Set
ANSWERS
Card Set
D2
D2
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
5
9
ANSWERS
Card Set
D2
2
10
3
7
8
11
4
TOTALS
33
6
45
www.mathsloops.co.uk
12
Increasing and decreasing a quantity by a given percentage (16 cards)
£94.30
Card 1
£52.20
Increase
£80 by 12%
57
£85.49
???
57
£50.22
Decrease
£90 by 42%
Set D3
???
???
57
Card 6
57
Set D3
£83.42
???
57
Card 7
57
Set D3
£98.40
www.mathsloops.co.uk
???
Card 8
Increase
£83 by 3%
79
???
79
Set D3
Decrease
£80 by 12%
79
???
£65.60
Card 4
Increase
£70 by 35%
79
Set D3
Increase
£50 by 76%
79
Card 3
Increase
£82 by 20%
79
Set D3
Card 5
57
£46.06
Decrease
£75 by 15%
79
Set D3
Card 2
57
Set D3
79
???
£45.50
Card 9
£89.60
Decrease
£82 by 20%
57
£70.40
???
57
£47.84
Increase
£92 by 2½%
Set D3
???
???
57
Card 14
57
Set D3
£94.50
???
57
Card 15
57
Set D3
£86.25
www.mathsloops.co.uk
???
Card 16
Decrease
£47 by 2%
79
???
79
Set D3
Increase
£43 by 94%
79
???
£88.00
Card 12
Increase
£75 by 15%
79
Set D3
Decrease
£54 by 7%
79
Card 11
Decrease
£70 by 35%
79
Set D3
Card 13
57
£63.75
Decrease
£52 by 8%
79
Set D3
Card 10
57
Set D3
79
???
Name ………………………………………………………...
Percentage increase and decrease
Name ………………………………………………………...
Percentage increase and decrease
ANSWERS
Card Set
ANSWERS
Card Set
D3
D3
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
14
13
ANSWERS
Card Set
6
12
7
D3
16
15
TOTALS
3
57
79
4
9
8
11
2
www.mathsloops.co.uk
5
Multiplying out and simplifying expressions with brackets (12 cards)
Card 1
4a + 2b
12a
Expand and simplify
40
???
8a + b
Card 5
2(a + 2b)+ 2(3a + b)
38
40
???
40
4a - 8b
???
Expand and simplify
2(2a + b)
38
40
???
Set D4
Card 6
8b - a
Card 7
3(a + 2b) + 2(2a – b)
2(3a – 2b)+ 2(3a + 2b)
Set D4
???
38
Set D4
www.mathsloops.co.uk
40
???
40
6a – 3b
???
Card 8
Expand and simplify
Expand and simplify
40
38
Set D4
Expand and simplify
38
Card 4
12a+ 5b
4(a - 2b)
38
Set D4
Expand and simplify
Set D4
8a + 6b
3(2a - b)
38
Card 3
Expand and simplify
Expand and simplify
2(a+2b)
Set D4
Card 2
4(a + b) + 2(a – 2b)
38
Set D4
40
???
2a + 2b
Card 9
Expand and simplify
Expand and simplify
Set D4
40
???
6a
38
Set D4
40
???
Card 11
2a + 4b
Card 12
Expand and simplify
Expand and simplify
6(a – b) + 4(2b – a)
3(2b – a) + 2(b + a)
2(3a + 4b) +3(2a – b)
3(2a – b) + 2(a + 2b)
38
7a + 4b
Card 10
38
Set D4
www.mathsloops.co.uk
40
???
38
Set D4
40
???
Name ………………………………………………………...
Simplifying expressions involving brackets
Name ………………………………………………………...
Simplifying expressions involving brackets
ANSWERS
Card Set
ANSWERS
Card Set
D4
D4
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
12
4
ANSWERS
Card Set
D4
10
6
7
3
8
11
5
TOTALS
38
2
40
www.mathsloops.co.uk
9
Factorising simple expressions (12 cards)
8(3x+2)
Card 1
Factorise
3(5x+4)
Factorise
15x + 10
38
5(2x+3)
???
Factorise
2(4x+3)
Set D5
???
Card 6
???
38
Set D5
???
Card 7
www.mathsloops.co.uk
???
Card 8
Factorise
38
Set D5
40
6(2x-3)
30x + 40
15x + 12
40
???
38
Set D5
Factorise
16x + 24
40
6x + 8
40
10(4x+3)
Card 4
Factorise
38
Set D5
Factorise
7x + 14
7(x+2)
12x - 4
40
Set D5
Card 3
Factorise
38
Card 5
38
10(3x+4)
12x - 18
40
Set D5
Card 2
40
???
38
Set D5
40
???
8(2x+3)
Card 9
Factorise
2(3x+4)
38
38
Set D5
40
???
4(3x-1)
38
Set D5
www.mathsloops.co.uk
Card 12
Factorise
8x + 6
24x + 16
40
???
5(3x+2)
Card 11
Factorise
Factorise
40x + 30
Set D5
Card 10
10x + 15
40
???
38
Set D5
40
???
Name ………………………………………………………...
Factorising simple expressions
Name ………………………………………………………...
Factorising simple expressions
ANSWERS
Card Set
ANSWERS
Card Set
D5
D5
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
10
ANSWERS
Card Set
4
5
6
D5
12
7
2
3
TOTALS
38
9
40
www.mathsloops.co.uk
8
Using the nth term to find a term in a sequences (12 cards)
Card 1
30
Card 2
1
Card 3
20
Card 4
32
The nth term of a
sequence is given by
The nth term of a
sequence is given by
The nth term of a
sequence is given by
The nth term of a
sequence is given by
2n - 3
6n + 4
50 – 4n
n2 + 4
What is the 3rd term ?
What is the 5th term ?
38
40
???
Set D6
38
???
Set D6
Card 5
7
What is the 5th term ?
40
38
???
Set D6
Card 6
35
What is the 5th term ?
40
38
40
Card 7
29
???
Set D6
Card 8
22
The nth term of a
sequence is given by
The nth term of a
sequence is given by
The nth term of a
sequence is given by
The nth term of a
sequence is given by
6n
n2 + n
½n + 4
n2 - n
What is the 4th term ?
38
Set D6
What is the 4th term ?
40
???
38
Set D6
What is the 20th term ?
40
???
38
Set D6
www.mathsloops.co.uk
40
???
What is the 4th term ?
38
Set D6
40
???
Card 9
14
Card 10
24
Card 11
12
Card 12
26
The nth term of a
sequence is given by
The nth term of a
sequence is given by
The nth term of a
sequence is given by
The nth term of a
sequence is given by
65 - n2
10n - 4
n2 + 2n
½ n2
What is the 8th term ?
38
Set D6
What is the 3rd term ?
40
???
38
Set D6
What is the 5th term ?
40
???
38
Set D6
www.mathsloops.co.uk
What is the 8th term ?
40
???
38
Set D6
40
???
Name ………………………………………………………...
Using the nth term to find terms
Name ………………………………………………………...
Using the nth term to find terms
ANSWERS
Card Set
ANSWERS
Card Set
D6
D6
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
3
5
ANSWERS
Card Set
D6
6
11
10
8
4
7
2
TOTALS
38
12
40
www.mathsloops.co.uk
9
Solving linear equations (12 cards)
x=6
Card 1
Solve
x=7
Solve
4x + 2 = 3x + 5
32
???
x=9
Solve
x=½
Card 6
???
32
Set D7
3(x – 2) = 2x - 1
46
???
x=8
www.mathsloops.co.uk
???
x=2
Card 8
Solve
32
Set D7
46
Card 7
4x = 6(x – 3)
5x +2 = 2(x + 10)
46
???
32
Set D7
Solve
3x - 1 = 2x + 6
46
32
Set D7
Solve
2(2x + 5) = 5x
Set D7
???
x = 12
Card 4
Solve
2(x + 2) = x + 8
46
Set D7
Card 3
Solve
32
Card 5
32
x = 11
3x - 1 = 2x + 1
46
Set D7
Card 2
46
???
32
Set D7
46
???
x=5
Card 9
Solve
x = 10
32
32
Set D7
46
???
32
Set D7
www.mathsloops.co.uk
x=4
Card 12
Solve
10x + 2 = 4x + 5
3x - 3 = 2(x + 4)
46
???
x=3
Card 11
Solve
Solve
5(x – 2) = 3x + 6
Set D7
Card 10
46
???
4(x – 7) = 2x - 4
32
Set D7
46
???
Name ………………………………………………………...
Solving linear equations
Name ………………………………………………………...
Solving linear equations
ANSWERS
Card Set
ANSWERS
Card Set
D7
D7
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
7
ANSWERS
Card Set
9
4
6
D7
12
8
5
3
TOTALS
46
2
32
www.mathsloops.co.uk
10
Calculating the area of triangles and parallelograms (12 cards)
Card 1
33
Calculate the area
60
Calculate the area
10
47
???
Set D8
9
31
47
45
12
64
12
31
Card 6
Calculate the area
47
???
Set D8
48
Card 4
Calculate the area
Calculate the area
???
Set D8
Calculate the area
35
8
Card 5
36
Card 3
15
12
9
31
Card 2
8
8
31
???
Set D8
Card 7
47
50
Card 8
Calculate the area
Calculate the area
13
5
3
4
8
5
12
31
Set D8
11
???
47
31
5
Set D8
47
???
31
Set D8
www.mathsloops.co.uk
8
47
???
31
Set D8
15
47
???
32
Card 9
Calculate the area
Card 10
42
Calculate the area
Calculate the area
7
8
30
Card 11
5
Card 12
54
Calculate the area
5
12
8
7
31
Set D8
9
47
???
31
Set D8
10
47
???
31
Set D8
www.mathsloops.co.uk
47
???
31
Set D8
7
47
???
Name ………………………………………………………...
Area of triangles and parallelograms
Name ………………………………………………………...
Area of triangles and parallelograms
ANSWERS
Card Set
ANSWERS
Card Set
D8
D8
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
5
4
ANSWERS
Card Set
D8
9
7
6
3
12
TOTALS
31
47
www.mathsloops.co.uk
11
10
8
2
Calculating the circumference and area of a circle
Card 1
50.3
Calculate the area.
(16 cards)
Card 2
69.1
Calculate the circumference.
Card 3
201.1
Calculate the area.
153.9
Calculate the circumference.
20 cm
8 cm
2 cm
67
3 cm
69
???
Set D9
67
69
Set D9
Card 5
28.3
Card 4
Calculate the circumference.
???
67
???
Set D9
Card 6
314.2
69
Calculate the area.
67
???
Set D9
Card 7
254.5
69
Card 8
25.1
Calculate the area.
Calculate the circumference.
18 cm
6 cm
67
Set D9
69
???
10 cm
8 cm
67
Set D9
69
???
67
Set D9
www.mathsloops.co.uk
69
???
67
Set D9
69
???
Card 9
12.6
Calculate the circumference.
113.1
78.5
Calculate the circumference.
7 cm
???
69
???
Set D9
Calculate the area.
11 cm
67
Card 13
62.8
56.5
Card 12
20 cm
69
Set D9
Card 11
Calculate the area.
Calculate the area.
3 cm
67
Card 10
67
???
Set D9
Card 14
37.7
69
Card 15
18.8
69
???
Set D9
Calculate the circumference.
Calculate the area.
67
Card 16
31.4
Calculate the area.
8 cm
10 cm
6 cm
9 cm
67
Set D9
69
???
67
Set D9
69
???
67
Set D9
www.mathsloops.co.uk
69
???
67
Set D9
69
???
Name ………………………………………………………...
Area and circumference of circles
Name ………………………………………………………...
Area and circumference of circles
ANSWERS
Card Set
ANSWERS
Card Set
D9
D9
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
9
15
13
ANSWERS
Card Set
11
6
4
D9
3
10
TOTALS
5
67
69
16
7
14
8
2
www.mathsloops.co.uk
12
Calculating probability
1
3
(12 cards)
Card 1
5
What is the probability that
he does not wake up before
the alarm goes off ?
40
???
Set D10
1
6
10
What is the probability that
the light shows green?
40
???
40
???
Set D10
Traffic lights show either,
green, amber or red.
The probability that the lights
show red or amber is 7
Set D10
38
Card 5
38
Card 2
The probability that Jed
wakes before his alarm goes
off is 1
An ordinary die is rolled.
What is the probability of
getting a number less
than 4 ?
38
1
2
1
4
2
3
A bag contains 6 red balls
and 4 blue balls. When a ball
is picked at random what is
the probability of getting a
red one?
38
3
5
www.mathsloops.co.uk
38
40
???
2
5
Card 8
A football team has en equal
chance of either winning,
drawing or losing their next
match. What is the
probability that the team will
win their next game?
40
???
Card 4
A box contains 25 counters.
15 of the counters are whilte.
When a counter is chosen at
random, what is the
probability of not picking a
white one?
Card 7
38
Set D10
3
4
Set D10
What is the probability of
scoring a number less
than 7 when an ordinary
die is rolled ?
40
???
???
Set D10
What is the probability of
scoring a number greater
than 6 when an ordinary die
is rolled?
Set D10
40
Card 6
38
Card 3
38
Set D10
40
???
Card 9
0
What is the probability of
scoring a number greater
than 1 on the spinner below?
1
2
4
3
38
Set D10
40
???
3
10
Card 10
Card 11
1
A football team has en equal
chance of either winning,
drawing or losing their next
match. What is the
probability that the team will
not win their next game?
What is the probability of
scoring a multiple of 3 on the
spinner below?
38
38
Set D10
40
???
Set D10
www.mathsloops.co.uk
2
4
6
8
40
???
4
5
Card 12
What is the probability of
getting a multiple of 4 when
an ordinary die is rolled ?
38
Set D10
40
???
Name ………………………………………………………...
Calculating Probabilities
Name ………………………………………………………...
Calculating Probabilities
ANSWERS
Card Set
ANSWERS
Card Set
D10
D10
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
2
12
ANSWERS
Card Set
4
D10
9
6
11
TOTALS
40
38
www.mathsloops.co.uk
5
10
3
7
Pie Charts (12 cards)
Card 2
Card 1
180
150
The pie chart shows the favourite
sport chosen by 720 people. How
many picked football?
The following data is to be shown as a pie
chart.
Mode of transport
Frequency
Car
Bus
Walk
29
38
13
Tennis
80°
26
Football
Rugby
10
???
Set D11
How many degrees should be measured
for the sector representing ‘Bus’ ?
26
10
???
Set D11
Card 4
Card 3
152
174
The following data is to be shown as a pie
chart.
Colour
Frequency
Red
Green
Blue
17
34
39
The pie chart shows the favourite
type of music chosen by 540
people. How many picked Rock ?
Jazz
Classical
How many degrees should be measured
for the sector representing ‘Blue’ ?
26
Set D11
10
???
118°
26
Rock
Set D11
www.mathsloops.co.uk
10
???
Card 6
Card 5
160
177
The following data is to be shown as a pie
chart.
Pet
Frequency
Cat
Dog
Rabbit
100
82
58
The pie chart shows the favourite
foods chosen by 696 people. How
many picked Pizza ?
Fish &
Chips
Pizza
How many degrees should be measured
for the sector representing ‘Cat’ ?
26
10
???
Set D11
26
10
Chinese
???
Set D11
Card 8
Card 7
171
156
The pie chart shows the results of a
survey about favourite sport. If 10 people
picked Tennis how many people took
part in the survey?
The pie chart shows the favourite
season chosen by 380 students.
How many picked Summer ?
Cricket
Spring
Football
20°
26
Set D11
144°
Winter
Tennis
10
???
Summer
26
10
Autumn
Set D11
www.mathsloops.co.uk
???
Name ………………………………………………………...
Pie Charts
Name ………………………………………………………...
Pie Charts
ANSWERS
Card Set
ANSWERS
Card Set
D11
D11
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
ANSWERS
Card Set
D11
6
1
3
5
7
4
8
2
TOTALS
10
26
www.mathsloops.co.uk
Rounding to 1 significant figure
0.05
(16 cards)
Card 1
4000
440 rounded to 1
significant figure
is …….
52
???
3
84
???
???
3000
52
400
0.509 rounded to
1 significant figure
is …….
Set E1
84
???
???
Set E1
30
52
0.03
www.mathsloops.co.uk
Card 8
3.09 rounded to 1
significant figure
is …….
84
???
???
Set E1
29.3 rounded to 1
significant figure
is …….
Set E1
84
Card 7
52
Card 4
0.349 rounded to 1
significant figure
is …….
84
Card 6
52
Card 3
451 rounded to 1
significant figure
is …….
84
Set E1
0.441 rounded to 1
significant figure
is …….
Set E1
52
Card 5
52
4
329 rounded to 1
significant figure
is …….
84
Set E1
Card 2
52
Set E1
84
???
300
Card 9
5
0.042 rounded to 1
significant figure
is …….
52
84
???
Set E1
0.5
52
Card 13
52
Set E1
0.0298 rounded to
1 significant figure
is …….
???
40
84
???
Card 11
0.4
0.049 rounded to 1
significant figure
is …….
52
Card 14
52
Set E1
500
84
???
Set E1
3789 rounded to 1
significant figure
is …….
84
???
84
Set E1
4.49 rounded to 1
significant figure
is …….
Card 10
0.3
www.mathsloops.co.uk
52
Card 15
52
Set E1
43.7 rounded to 1
significant figure
is …….
84
???
84
???
Set E1
5.499 rounded to 1
significant figure
is …….
Card 12
0.04
Card 16
3451 rounded to 1
significant figure
is …….
52
Set E1
84
???
Name ………………………………………………………...
Rounding to 1 significant figure
Name ………………………………………………………...
Rounding to 1 significant figure
ANSWERS
Card Set
ANSWERS
Card Set
E1
E1
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
4
11
ANSWERS
Card Set
15
10
3
E1
8
13
TOTALS
5
52
84
6
16
12
9
2
www.mathsloops.co.uk
14
Multiplying and dividing negative integers
(16 cards)
Card 1
-21
Card 2
21
Card 3
8
Card 4
-8
Work out
Work out
Work out
Work out
4 × -9
16 ÷ -2
-3 × 7
-28 ÷ -4
56
80
???
Set E2
56
80
Card 5
100
???
Set E2
56
80
???
Set E2
Card 6
5
56
???
Set E2
Card 7
-7
80
Card 8
-36
Work out
Work out
Work out
Work out
-8 × -8
-24 ÷ -3
-7 × -3
100 ÷ -10
56
Set E2
80
???
56
Set E2
80
???
56
Set E2
www.mathsloops.co.uk
80
???
56
Set E2
80
???
Card 9
2
7
Card 10
Card 11
-10
-64
Card 12
Work out
Work out
Work out
Work out
-9 × -4
-35 ÷ 7
-16 ÷ 8
-35 ÷ -7
56
80
???
Set E2
56
???
Set E2
Card 13
-5
80
-2
56
80
???
Set E2
Card 14
56
80
Card 15
64
???
Set E2
36
Card 16
Work out
Work out
Work out
Work out
-8 × 8
-10 × -10
-16 ÷ -8
28 ÷ -4
56
Set E2
80
???
56
Set E2
80
???
56
Set E2
www.mathsloops.co.uk
80
???
56
Set E2
80
???
Name ………………………………………………………...
Multiplying and dividing by negative integers
Name ………………………………………………………...
Multiplying and dividing by negative integers
ANSWERS
Card Set
ANSWERS
Card Set
E2
E2
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
11
3
ANSWERS
Card Set
14
5
6
E2
15
12
TOTALS
9
56
80
13
10
16
4
2
www.mathsloops.co.uk
7
Using a calculator for powers and roots
(16 cards)
Card 1
24
216
2
51
85
???
Card 5
25
Work out
5
3
51
Set E3
85
???
???
85
???
Set E3
729
Work out
324
361
85
???
51
Set E3
www.mathsloops.co.uk
51
???
Card 8
343
Work out
3
6
85
???
85
Set E3
Card 7
Work out
51
Set E3
2
51
Card 6
128
7
5
85
Set E3
Work out
3
51
Card 4
256
Work out
289
16
Card 3
19
Work out
Work out
Set E3
Card 2
51
Set E3
85
???
Card 9
512
125
3
51
85
???
51
Card 13
1
17
Work out
85
???
7
???
Set E3
Card 14
51
Card 15
18
???
Set E3
0
www.mathsloops.co.uk
7
85
???
Card 16
Work out
8
51
???
243
3
85
85
Set E3
Work out
51
Set E3
3
85
576
3
Set E3
51
Work out
6
51
???
Set E3
Work out
625
85
Card 12
23
Work out
529
4
Card 11
64
Work out
Work out
Set E3
Card 10
51
Set E3
85
???
Name ………………………………………………………...
Using a calculator for roots and powers
Name ………………………………………………………...
Using a calculator for roots and powers
ANSWERS
Card Set
ANSWERS
Card Set
E3
E3
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
6
14
ANSWERS
Card Set
15
9
2
E3
11
8
TOTALS
5
51
85
12
10
16
3
7
www.mathsloops.co.uk
13
Solving linear equations
(16 cards)
Card 1
x =12
x=6
x =2
10
80
???
Set E4
x = 14
4x – 3 = 13
2x + 10 = 24
x=3
5
56
80
???
Set E4
56
???
Set E4
Card 6
x = 15
80
x=9
Work out
10x – 10 = 40
3x + 4 = 22
x=6
2
Set E4
???
56
Set E4
80
???
56
Set E4
www.mathsloops.co.uk
56
???
Card 8
x=7
Work out
5x – 2 = 13
80
???
80
Set E4
Card 7
Work out
80
x = 11
Work out
Work out
56
Card 4
Work out
Card 5
x = 20
Card 3
Work out
Work out
56
Card 2
56
Set E4
80
???
Card 9
x = 24
x=4
56
80
???
56
x = 18
Work out
56
Set E4
x=2
7
???
???
Set E4
Card 13
x = 10
80
Work out
x=6
3
2x – 10 = 12
80
56
80
???
Set E4
Card 14
x=8
Work out
3x + 3 = 30
4x – 7 = 33
Set E4
80
???
56
Set E4
www.mathsloops.co.uk
56
???
x=5
Card 16
Work out
x=4
6
80
???
80
Set E4
Card 15
Work out
56
x=2
Card 12
Work out
3x – 4 = 20
6x + 8 = 20
Card 11
x=3
Work out
Work out
Set E4
Card 10
56
Set E4
80
???
Name ………………………………………………………...
Solving linear equations
Name ………………………………………………………...
Solving linear equations
ANSWERS
Card Set
ANSWERS
Card Set
E4
E4
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
5
16
7
ANSWERS
Card Set
9
12
14
E4
4
11
TOTALS
6
80
56
8
3
2
13
15
www.mathsloops.co.uk
10
Simplifying expressions with more than one variable
2b - a
Card 1
2a - 2b
56
80
???
80
???
56
Set E5
a + 2b
???
www.mathsloops.co.uk
???
3a - b
Card 8
Simplify
56
Set E5
80
Card 7
3a – b – a - b
4a + 4b – 2a – 2b
80
???
56
Set E5
Simplify
a + b + a –2b
4a + 2b – 3a – 3b
2a + b + a – 2b
80
Card 6
Card 4
Simplify
56
Set E5
Simplify
Simplify
Set E5
???
a - 3b
4a +2b
4a + b – 3a + b
80
Set E5
Card 3
Simplify
56
Card 5
56
3b - a
a + 2b + 2a - b
3a + 2b - 2a - b
-a-b
Card 2
Simplify
Simplify
Set E5
(16 cards)
80
???
56
Set E5
80
???
3a + b
Card 9
2a - b
56
80
2a +4b
???
56
Card 13
Simplify
2a +2b
???
56
???
www.mathsloops.co.uk
???
2b
Card 16
Simplify
56
Set E5
80
Card 15
a + b + 3a + b
a + 2b + a + 2b
80
???
56
Set E5
Simplify
56
Set E5
???
b-a
2a + b – 3a – 2b
80
2a + 2b – 3a + b
80
Card 14
Card 12
Simplify
56
Set E5
Simplify
5a + b – 4a – 4b
Set E5
80
Set E5
a+b
a + b – 2a + b + a
2a + b – 3a + b
a + 3b – 2a – 2b
a-b
Card 11
Simplify
Simplify
Simplify
Set E5
Card 10
80
???
56
Set E5
80
???
Name ………………………………………………………...
Simplifying expressions with more than 1 variable
Name ………………………………………………………...
Simplifying expressions with more than 1 variable
ANSWERS
Card Set
ANSWERS
Card Set
E5
E5
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
12
3
10
ANSWERS
Card Set
7
14
6
E5
5
13
TOTALS
11
56
80
15
9
16
2
8
www.mathsloops.co.uk
4
Substituting positive and negative values into formulae (12 cards)
Card 1
7
If a = 2 and b = -3,
find the value of
-2
44
???
???
???
34
If a = -5 and b= - 2,
find the value of
44
???
34
Set E6
www.mathsloops.co.uk
Card 8
If a = 2 and b = -3,
find the value of
a-b
44
???
???
-25
2a – 5b
34
44
Set E6
Card 7
4
2a + 5b
Set E6
44
Set E6
If a = -5 and b = -2,
find the value of
44
If a = -1 and b = -2,
find the value of
3b – a
34
Card 6
-5
2a – 2b
Set E6
???
Set E6
If a = 4 and b = -5,
find the value of
34
44
Card 4
0
2a + b
34
Card 5
5
-9
2a - b
34
Card 3
If a = -1 and b = -2,
find the value of
If a = 2 and b = -3,
find the value of
a+b
Set E6
Card 2
34
Set E6
44
???
Card 9
-20
-4
Set E6
44
???
-1
34
Set E6
18
44
???
34
Set E6
4a + 2b
www.mathsloops.co.uk
44
???
Card 12
If a = 3 and b = -4,
find the value of
4a + 3b
2a + 2b
4b + a
Card 11
If a = -4 and b = -3,
find the value of
If a = 4 and b = -5,
find the value of
If a = -1 and b = -2,
find the value of
34
Card 10
34
Set E6
44
???
Name ………………………………………………………...
Substituting positive and negative values into formulae
Name ………………………………………………………...
Substituting positive and negative values into formulae
ANSWERS
Card Set
ANSWERS
Card Set
E6
E6
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
2
ANSWERS
Card Set
E6
10
3
8
9
12
7
6
TOTALS
44
5
34
www.mathsloops.co.uk
4
Identifying straight line graphs of the form x = a and y = b (12 cards)
y=-2
Card 1
Write down the equation of the line
32
46
Set E7
x= -1.5
???
Write down the equation of the line
32
Card 5
32
46
???
46
???
Set E7
Write down the equation of the line
Set E7
x=1
Card 2
x=3
y=2.5
Card 3
Write down the equation of the line
32
46
???
Set E7
Card 6
y=1
x=0
Card 4
Write down the equation of the line
32
46
???
Set E7
Card 7
x=-1
Card 8
Write down the equation of the line
Write down the equation of the line
Write down the equation of the line
32
32
32
Set E7
46
???
Set E7
www.mathsloops.co.uk
46
???
Set E7
46
???
x=-2
Card 9
Write down the equation of the line
32
Set E7
46
???
x=2
Card 10
Write down the equation of the line
32
Set E7
46
???
y=0
Card 11
Write down the equation of the line
32
Set E7
www.mathsloops.co.uk
46
???
y=2
Card 12
Write down the equation of the line
32
Set E7
46
???
Name ………………………………………………………...
Straight line graphs x = a and y = b
Name ………………………………………………………...
Straight line graphs x = a and y = b
ANSWERS
Card Set
ANSWERS
Card Set
E7
E7
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
2
ANSWERS
Card Set
9
3
7
E7
11
6
8
5
TOTALS
46
4
32
www.mathsloops.co.uk
12
Completing tables for graphs of functions (12 cards)
Card 1
-1
Work out the missing value
1
Work out the missing value
y = 3x – 1
x
y
0
-1
1
x
y
41
???
Set E8
37
Set E8
x
y
41
???
0
1
Set E8
41
???
x
y
4
0
???
0
-8
1
2
-4
37
41
???
Set E8
Card 7
-2
Card 8
5
Work out the missing value
Work out the missing value
y = 10 – 3x
y = 6x – 10
x
y
x
y
2
9
37
y = 2x – 8
41
Card 6
1
2
37
y = 4x + 1
2
0
-4
Set E8
Work out the missing value
y = 3x + 1
1
4
x
y
???
-3
7
y=x – 4
3
-3
Card 4
Work out the missing value
Work out the missing value
41
Set E8
Work out the missing value
0
1
2
37
Card 5
6
x
y
0
6
Card 3
2
y = 6 – 3x
2
5
37
Card 2
0
10
2
4
3
37
Set E8
www.mathsloops.co.uk
41
???
0
-10
1
2
2
37
Set E8
41
???
Card 9
3
-6
Work out the missing value
Work out the missing value
0
5
2
1
37
Set E8
x
y
3
41
???
0
1
1
Set E8
41
???
-4
y = 11 – 2x
y = 6 + 2x
x
y
0
1
8
Set E8
www.mathsloops.co.uk
x
y
3
12
37
41
???
Card 12
Work out the missing value
Work out the missing value
2
-7
37
Card 11
0
y = 1 – 4x
y = 5 – 2x
x
y
Card 10
0
11
4
5
1
37
Set E8
41
???
Name ………………………………………………………...
Completing tables for graphs of functions
Name ………………………………………………………...
Completing tables for graphs of functions
ANSWERS
Card Set
ANSWERS
Card Set
E8
E8
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
9
3
ANSWERS
Card Set
E8
12
8
7
6
10
TOTALS
41
37
www.mathsloops.co.uk
2
11
5
4
Using triangle properties to calculate missing angles
Card 1
5°
(12 cards)
Card 2
45°
Find x
Find x
x
Card 3
10°
80°
Find x
Find x
x
35°
50°
36
42
???
Set E9
36
???
Set E9
42
???
Set E9
36
Card 7
50°
42
???
Set E9
Card 8
60°
Find x
Find x
Find x
Find x
36
Card 6
55°
x
50°
42
Card 5
40°
Card 4
x
30°
x
x
85°
36
Set E9
42
???
36
Set E9
42
???
36
Set E9
www.mathsloops.co.uk
75°
???
42
36
Set E9
x
42
???
Card 9
25°
65°
Set E9
???
15°
85°
x
x
65°
x
42
36
Set E9
Card 12
Find x
80°
x
70°
75°
Card 11
Find x
Find x
Find x
36
Card 10
42
???
36
Set E9
www.mathsloops.co.uk
42
???
36
Set E9
42
???
Name ………………………………………………………...
Angles in triangles
Name ………………………………………………………...
Angles in triangles
ANSWERS
Card Set
ANSWERS
Card Set
E9
E9
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
4
ANSWERS
Card Set
E9
8
3
10
6
12
9
2
TOTALS
42
7
36
www.mathsloops.co.uk
5
Calculating the area and perimeter of compound shapes (12 cards)
Card 1
38
99
5 cm
5 cm
6 cm
51
???
Set E10
27
Card 5
42
5 cm
4 cm
???
24
27
Set E10
88
???
51
27
4 cm
4 cm
The area of this
shape is ….cm2
Set E10
www.mathsloops.co.uk
Card 8
1 cm
8 cm
5 cm
6 cm
15 cm
The area of this
shape is ….cm2
51
???
Set E10
2 cm
4 cm
The area of this
shape is ….cm2
27
Card 7
1 cm
6 cm
51
???
Set E10
10 cm
51
4 cm
The area of this
shape is ….cm2
Card 6
8 cm
12 cm
5 cm
6 cm
27
9cm
7 cm
The perimeter of this
shape is ….cm
51
???
68
3 cm
7 cm
Set E10
3 cm
10 cm
The perimeter of this
shape is ….cm
Set E10
7 cm
10 cm
4 cm
The area of this
shape is ….cm2
27
Card 4
34
7 cm
3 cm
8 cm
Card 3
40
7 cm
4 cm
27
Card 2
???
51
27
The perimeter of this
shape is ….cm
Set E10
???
51
Card 9
36
5 cm
4 cm
29
Set E10
The area of this
shape is ….cm2
???
7 cm
4 cm
51
27
9cm
???
51
27
The perimeter of this
shape is ….cm
Set E10
www.mathsloops.co.uk
6 cm
6 cm
10 cm
The perimeter of this
shape is ….cm
Set E10
8 cm
10 cm
15 cm
Card 12
62
2 cm
4 cm
12 cm
27
Card 11
44
1 cm
1 cm
3 cm
7 cm
7 cm
Card 10
???
10 cm
51
27
The perimeter of this
shape is ….cm
Set E10
???
51
Name ………………………………………………………...
Area and Perimeter of compound shapes
Name ………………………………………………………...
Area and Perimeter of compound shapes
ANSWERS
Card Set
ANSWERS
Card Set
E10
E10
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
6
12
ANSWERS
Card Set
3
E10
11
5
10
TOTALS
27
51
www.mathsloops.co.uk
9
2
7
4
Calculating the volume of cubes and cuboids
40
Card 1
(12 cards)
27
Card 2
6
Volume = 24 cm3 . Find x
Find the volume
Card 3
3 cm
Find the volume
Find the volume
39
???
Set E11
15
4 cm
1 cm
2 cm
39
4 cm
39
Card 5
4
3 cm
5 cm
2 cm
39
???
Set E11
39
39
???
Set E11
Card 6
3 cm
3 cm
39
???
2 cm
39
Set E11
2 cm
???
39
Set E11
www.mathsloops.co.uk
2 cm
???
39
???
Card 8
3
1 cm
2 cm
x
2 cm
39
2 cm
Volume = 10 cm3 . Find x
2 cm
3 cm
5 cm
Set E11
Find the volume
2 cm
2 cm
39
Card 7
32
Find the volume
Find the volume
Set E11
8
x
1 cm
39
Card 4
39
39
Set E11
39
???
Card 9
12
18
Volume = 20 cm3 . Find x
Card 10
5
Find the volume
Card 12
Find the volume
3 cm
3 cm
2 cm
5 cm
Set E11
2
Volume = 36 cm3 . Find x
5 cm
39
Card 11
x
2 cm
???
39
39
Set E11
4 cm
4 cm
39
???
39
x
Set E11
www.mathsloops.co.uk
3 cm
3 cm
39
???
39
Set E11
39
3 cm
???
Name ………………………………………………………...
Volume of cubes and cuboids
Name ………………………………………………………...
Volume of cubes and cuboids
ANSWERS
Card Set
ANSWERS
Card Set
E11
E11
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
3
5
ANSWERS
Card Set
10
7
6
E11
9
11
8
2
12
TOTALS
39
39
www.mathsloops.co.uk
Metric Measures - conversions (16 cards)
2090
Card 1
2.9 kg = …….g
54
???
100
54
82
???
???
Set E12
0.29
9.2 cm = ….. mm
Set E12
82
Card 5
54
2
29 cm = ……mm
82
Set E12
20.9
Card 2
Set E12
54
Card 6
54
???
82
???
900
Set E12
www.mathsloops.co.uk
54
82
???
82
???
Set E12
Card 7
54
Card 4
9.2m = …….cm
20.9 cm = …. mm
82
9
29 cm = …….m
Set E12
92 cm = …..m
Card 3
90
Card 8
2.09 kg = …….g
54
Set E12
82
???
10
Card 9
2900
0.209 m =… cm
54
???
92
54
Card 14
54
Set E12
82
???
???
920
200
54
209
0.1 kg = …..g
Set E12
www.mathsloops.co.uk
???
Card 16
0.1 m = ….. cm
82
???
82
Set E12
Card 15
54
Card 12
0.09 m = ….. cm
82
Set E12
20 cm = ……mm
82
???
???
290
Card 11
9 cm = ……mm
82
Set E12
2000 g = …kg
Set E12
54
Card 13
54
0.92
0.9 kg = ……g
82
Set E12
Card 10
54
Set E12
82
???
Name ………………………………………………………...
Metric Measures - Conversions
Name ………………………………………………………...
Metric Measures - Conversions
ANSWERS
Card Set
ANSWERS
Card Set
E12
E12
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
7
8
ANSWERS
Card Set
16
9
11
E12
2
6
TOTALS
14
54
82
3
13
12
5
15
www.mathsloops.co.uk
4
Addition and subtraction of negative numbers (16 cards)
0
Card 1
6
-2 + 7 =
63
???
1
Card 5
63
73
???
73
???
Set F1
10 +(-4)=
Set F1
63
7
63
Card 6
63
73
???
73
???
Set F1
-2 –(-2) =
Set F1
5
Card 3
6 + (-3) =
-3 - 8 =
73
Set F1
Card 2
-5
-4
-2 +(-1) =
63
www.mathsloops.co.uk
73
???
???
Set F1
-3
Card 8
3 –(-1) =
-2 +(-2) =
Set F1
73
Card 7
63
Card 4
63
Set F1
73
???
-7
Card 9
8
2 +(-3) =
-1 –(-2) =
63
73
???
Set F1
3
Card 13
63
Set F1
63
Card 14
63
Set F1
63
73
???
73
???
Set F1
-9 –(-2) =
73
???
???
-2
4
Card 11
-1
-4 –(-2) =
73
Set F1
-9 + 3 =
Card 10
-11
2 +(-7) =
63
www.mathsloops.co.uk
73
???
???
Set F1
-6
Card 16
6 –(-2) =
11+(-4) =
Set F1
73
Card 15
63
Card 12
63
Set F1
73
???
Name ………………………………………………………...
Addition and Subtraction of negative numbers
Name ………………………………………………………...
Addition and Subtraction of negative numbers
ANSWERS
Card Set
ANSWERS
Card Set
F1
F1
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
3
13
6
ANSWERS
Card Set
16
10
15
F1
12
2
TOTALS
7
73
63
5
9
4
14
11
www.mathsloops.co.uk
8
Rounding to 1 decimal place (16 cards)
5.2
Card 1
5.6
5.347 rounded to
1 decimal place
is …….
51
85
???
Set F2
5.0
51
85
???
???
4.2
5.145 rounded to
1 decimal place
is …….
Set F2
85
Set F2
51
Card 6
51
???
4.3
www.mathsloops.co.uk
85
???
Card 4
5.216 rounded to
1 decimal place
is …….
51
Card 7
51
Set F2
4.5
85
???
Set F2
4.352 rounded to
1 decimal place
is …….
85
???
85
Set F2
4.273 rounded
to 1 decimal
place is …….
Set F2
4.0
Card 3
5.374 rounded to
1 decimal place
is …….
5.4837 rounded
to 1 decimal
place is …….
Card 5
51
Card 2
4.9
Card 8
4.198 rounded to
1 decimal place
is …….
51
Set F2
85
???
4.7
Card 9
4.455 rounded to
1 decimal place
is …….
51
85
???
Set F2
5.5
4.564 rounded to
1 decimal place
is …….
51
Card 13
51
85
???
85
???
Set F2
4.971 rounded to
1 decimal place
is …….
Set F2
4.4
Card 10
5.4
4.072 rounded to
1 decimal place
is …….
51
Card 14
51
85
???
85
???
Set F2
4.709 rounded to
1 decimal place
is …….
Set F2
5.3
Card 11
4.1
51
Card 15
51
www.mathsloops.co.uk
4.045 rounded to
1 decimal place
is …….
85
???
85
???
Set F2
4.853 rounded to
1 decimal place
is …….
Set F2
5.1
Card 12
4.6
Card 16
5.554 rounded to
1 decimal place
is …….
51
Set F2
85
???
Name ………………………………………………………...
Rounding to 1 decimal place
Name ………………………………………………………...
Rounding to 1 decimal place
ANSWERS
Card Set
ANSWERS
Card Set
F2
F2
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
15
4
ANSWERS
Card Set
8
6
9
F2
7
14
TOTALS
10
51
85
3
12
16
5
13
www.mathsloops.co.uk
2
Rounding to 2 decimal places (16 cards)
10.39
Card 1
10.45
10.479 rounded
to 2 decimal
places is …….
67
69
Set F3
10.42
???
67
10.37
10.461 rounded
to 2 decimal
places is …….
Set F3
???
???
10.35
???
67
Card 7
67
Set F3
www.mathsloops.co.uk
69
???
69
Set F3
10.48
???
Card 8
10.415 rounded
to 2 decimal
places is …….
10.4392 rounded
to 2 decimal
places is …….
69
???
10.41
Card 4
10.474 rounded
to 2 decimal
places is …….
69
Set F3
10.445 rounded
to 2 decimal
places is …….
Set F3
67
Card 6
67
Card 3
10.367 rounded
to 2 decimal
places is …….
69
Set F3
69
10.40
10.364 rounded
to 2 decimal
places is …….
Card 5
67
Card 2
67
Set F3
69
???
10.37
Card 9
10.4309 rounded
to 2 decimal
places is …….
67
69
Set F3
10.44
???
67
Card 13
67
69
???
10.34
69
10.36
???
Card 14
67
Set F3
67
69
???
10.47
10.43
???
67
10.46
10.3471 rounded
to 2 decimal
places is …….
Set F3
www.mathsloops.co.uk
69
???
69
Set F3
Card 15
67
Card 12
10.393 rounded
to 2 decimal
places is …….
69
Set F3
10.3725 rounded
to 2 decimal
places is …….
Card 11
10.399 rounded
to 2 decimal
places is …….
10.4052 rounded
to 2 decimal
places is …….
Set F3
10.3752 rounded
to 2 decimal
places is …….
Set F3
10.38
Card 10
???
Card 16
10.341 rounded
to 2 decimal
places is …….
67
Set F3
69
???
Name ………………………………………………………...
Rounding to 2 decimal places
Name ………………………………………………………...
Rounding to 2 decimal places
ANSWERS
Card Set
ANSWERS
Card Set
F3
F3
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
5
12
ANSWERS
Card Set
16
11
4
F3
3
10
TOTALS
6
69
67
13
7
2
15
9
www.mathsloops.co.uk
14
Ordering decimals (16 cards)
Card 1
0.621
Which is the biggest?
0.16
0.261
Which is the smallest?
0.106
0.61
0.161
73
???
Which is the biggest?
0.12
73
Card 6
0.012
73
63
Set F4
Which is the biggest?
0.612
0.16
63
Set F4
www.mathsloops.co.uk
63
???
???
Card 8
0.061
Which is the biggest?
0.143
0.41
0.143
73
Set F4
Card 7
0.314
73
???
???
Which is the biggest?
0.201
0.21
73
0.161
0.621
0.162
63
Set F4
Which is the biggest?
0.102
???
???
0.16
0.012
63
Set F4
0.116
Card 4
0.516
0.106
63
Card 5
0.106
Which is the smallest?
0.061
Set F4
Card 3
0.65
0.16
63
Set F4
Card 2
0.134
0.141
73
63
Set F4
73
???
Card 9
0.41
Which is the smallest?
0.413
0.143
Which is the smallest?
0.431
0.126
0.341
73
???
Which is the biggest?
0.16
73
???
0.605
73
???
Set F4
0.516
www.mathsloops.co.uk
0.61
0.156
73
???
Card 16
Which is the biggest?
0.65
63
???
0.341
0.506
63
Set F4
73
Set F4
Which is the smallest?
0.65
63
Card 15
0.12
0.561
0.61
???
0.615
73
0.516
73
Card 14
0.516
Which is the smallest?
0.216
63
Set F4
Which is the biggest?
0.156
63
???
0.21
0.151
Set F4
0.261
Card 12
0.506
0.126
63
Card 13
0.126
Which is the biggest?
0.162
Set F4
Card 11
0.61
0.16
63
Set F4
Card 10
63
Set F4
73
???
Name ………………………………………………………...
Ordering decimals
Name ………………………………………………………...
Ordering decimals
ANSWERS
Card Set
ANSWERS
Card Set
F4
F4
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
9
4
ANSWERS
Card Set
16
11
12
F4
2
15
TOTALS
8
73
63
5
3
10
14
6
www.mathsloops.co.uk
13
Non calculator multiplication (12 cards)
2548
Card 1
5328
251 × 35 =
32
???
2916
32
7326
46
???
32
Card 6
32
Set F5
???
7486
32
Card 7
32
Set F5
www.mathsloops.co.uk
46
2014
Card 8
332 × 27 =
46
???
???
Set F5
54 × 54 =
46
???
8964
Card 4
225 × 35 =
46
Set F5
83 × 42 =
98 × 26 =
Set F5
???
Set F5
Card 3
222 × 33 =
46
Card 5
32
5390
106 × 19 =
46
Set F5
Card 2
32
Set F5
46
???
3486
Card 9
8785
148 × 36 =
32
Set F5
7875
32
Set F5
46
???
Card 11
4096
197 × 38 =
256 × 16 =
46
???
Card 10
32
Set F5
www.mathsloops.co.uk
245 × 22 =
46
???
Card 12
32
Set F5
46
???
Name ………………………………………………………...
Non calculator multiplication
Name ………………………………………………………...
Non calculator multiplication
ANSWERS
Card Set
ANSWERS
Card Set
F5
F5
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
5
ANSWERS
Card Set
F5
7
11
12
4
6
9
8
TOTALS
32
3
46
www.mathsloops.co.uk
2
Non calculator division (12 cards)
33
Card 1
31
644 ÷ 23 =
35
???
24
35
28
43
???
35
Card 6
35
Set F6
???
32
35
Card 7
35
Set F6
www.mathsloops.co.uk
43
27
Card 8
396 ÷ 18 =
43
???
???
Set F6
924 ÷ 28 =
43
???
29
Card 4
735 ÷ 21 =
43
Set F6
910 ÷ 35 =
999 ÷ 37 =
Set F6
???
Set F6
Card 3
990 ÷ 18 =
43
Card 5
35
25
1015 ÷ 35 =
43
Set F6
Card 2
35
Set F6
43
???
55
Card 9
22
832 ÷ 26 =
35
Set F6
35
35
Set F6
43
???
Card 11
26
850 ÷ 34 =
961 ÷ 31 =
43
???
Card 10
35
Set F6
www.mathsloops.co.uk
984 ÷ 41 =
43
???
Card 12
35
Set F6
43
???
Name ………………………………………………………...
Non-calculator division
Name ………………………………………………………...
Non-calculator division
ANSWERS
Card Set
ANSWERS
Card Set
F6
F6
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
6
ANSWERS
Card Set
F6
9
3
12
11
8
10
4
TOTALS
43
5
35
www.mathsloops.co.uk
2
Multiplying by 10, 100 and 1000 (16 cards)
1520
Card 1
15.2
2.15 × 100 =
67
???
25.2
67
1.52
69
???
Card 6
67
Set F7
67
67
Card 7
67
Set F7
www.mathsloops.co.uk
69
69
???
???
Set F7
215
0.152 × 100 =
69
???
???
1250
151
Card 4
0.12 × 1000 =
69
Set F7
1.2 × 10 =
1.52× 1000 =
Set F7
???
Set F7
Card 3
15.2 × 10 =
69
Card 5
67
12
0.25 × 100 =
69
Set F7
Card 2
Card 8
12 × 100 =
67
Set F7
69
???
251
Card 9
1200
1.51 × 100 =
67
???
20.5
67
Card 13
Set F7
67
Card 14
67
Set F7
69
250
120
67
Set F7
www.mathsloops.co.uk
69
152
Card 16
2. 52 × 10 =
69
???
???
Set F7
Card 15
67
Card 12
0.052 × 100 =
2.05 × 10 =
69
???
???
Set F7
0.0152 × 100
69
???
???
5.2
12.5 × 100 =
67
69
Set F7
25
Card 11
0.251 × 1000 =
2.5 × 100 =
69
Set F7
Card 10
67
Set F7
69
???
Name ………………………………………………………...
Multiplying by 10, 100,1000
Name ………………………………………………………...
Multiplying by 10, 100,1000
ANSWERS
Card Set
ANSWERS
Card Set
F7
F7
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
10
5
ANSWERS
Card Set
15
13
16
F7
7
3
TOTALS
2
69
67
6
14
11
12
4
www.mathsloops.co.uk
9
Dividing by 10, 100 and 1000 (16 cards)
0.35
Card 1
0.59
9350 ÷ 100 =
52
84
Set F8
0.059
???
52
52
Card 6
52
Set F8
???
0.53
52
Card 7
52
Set F8
www.mathsloops.co.uk
84
5.9
Card 8
5.9 ÷ 10 =
84
???
???
Set F8
5.9 ÷ 100 =
84
???
0.035
Card 4
530 ÷ 1000 =
84
Set F8
93.5 ÷ 100 =
84
???
???
9.35
Card 3
53 ÷ 1000 =
84
Set F8
5300 ÷ 100 =
Set F8
5.39
935 ÷ 100 =
Card 5
52
Card 2
52
Set F8
84
???
53.9
Card 9
0.539
590 ÷ 100 =
52
0.053
???
52
84
???
52
Card 14
52
Set F8
52
Card 15
52
Set F8
www.mathsloops.co.uk
84
35.9
Card 16
53.9 ÷ 100 =
84
???
???
Set F8
539 ÷ 100 =
84
???
???
3.59
0.935
Card 12
3590 ÷ 1000 =
84
Set F8
5390 ÷ 100 =
3.5 ÷ 10 =
Set F8
???
53
Card 11
359 ÷ 10 =
84
Set F8
Card 13
52
93.5
35 ÷ 1000 =
84
Set F8
Card 10
52
Set F8
84
???
Name ………………………………………………………...
Dividing by 10, 100, 1000
Name ………………………………………………………...
Dividing by 10, 100, 1000
ANSWERS
Card Set
ANSWERS
Card Set
F8
F8
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
16
13
ANSWERS
Card Set
10
4
3
F8
7
15
TOTALS
5
52
84
12
6
14
2
8
www.mathsloops.co.uk
9
Non calculator adding decimals (12 cards)
17.08
Card 1
10.47
9.21 + 3.78 =
39
39
Set F9
12.99
???
Set F9
39
Card 5
39
39
???
13.7
39
Set F9
39
???
16.05
15.39
???
39
13.5
www.mathsloops.co.uk
Card 8
6 + 0.6 + 6.06 =
39
???
???
Set F9
7 + 5.73 + 0.9 =
Set F9
39
Card 7
39
Card 4
2.74 + 9.88 =
39
Set F9
Card 6
39
Card 3
4.09 + 9.41 =
2.79 + 0.6 + 10.5 =
39
???
13.63
5.7 + 10.35 =
Set F9
8.74 + 1.9=
Card 2
39
Set F9
39
???
13.89
Card 9
2.7 + 6.92 + 0.85 =
39
Set F9
39
???
12.66
Card 10
12.62
10 + 6.2 + 0.88 =
9.05 + 4.65 =
39
Set F9
39
???
Card 11
39
Set F9
www.mathsloops.co.uk
6.2 + 5.1 + 4.09 =
39
???
10.64
Card 12
39
Set F9
39
???
Name ………………………………………………………...
Addition of Decimals
Name ………………………………………………………...
Addition of Decimals
ANSWERS
Card Set
ANSWERS
Card Set
F9
F9
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
5
ANSWERS
Card Set
F9
4
2
12
9
3
8
6
TOTALS
39
7
39
www.mathsloops.co.uk
10
Non calculator subtracting decimals (12 cards)
10.08
Card 1
9.12
19.37 – 12.45 =
36
42
Set F10
11.33
???
36
10.75
???
???
36
Card 6
36
Set F10
10.58
???
www.mathsloops.co.uk
42
Card 7
36
Set F10
36
6.92
Card 8
20.08 – 8.79 =
42
???
???
Set F10
15.7 – 4.98 =
42
???
10.72
Card 4
19.8 – 9.72 =
42
Set F10
18 – 8.45 =
42
Card 3
16.1 – 4.77 =
42
Set F10
17.61 – 8.95 =
Set F10
9.72
17 – 6.25 =
Card 5
36
Card 2
36
Set F10
42
???
9.55
Card 9
25 – 14.64 =
36
Set F10
36
Set F10
42
???
10.36
Card 11
11.29
21.5 – 11.78 =
22.1 – 11.52=
42
???
8.66
Card 10
36
Set F10
www.mathsloops.co.uk
18 – 8.88 =
42
???
Card 12
36
Set F10
42
???
Name ………………………………………………………...
Subtracting Decimals
Name ………………………………………………………...
Subtracting Decimals
ANSWERS
Card Set
ANSWERS
Card Set
F10
F10
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
7
10
8
12
ANSWERS
Card Set
F10
5
3
TOTALS
42
36
www.mathsloops.co.uk
2
6
9
11
Non calculator multiplying money (12 cards)
£20.97
Card 1
£17.46
£2.79 × 6 =
27
£14.63
???
27
£15.96
Set F11
51
???
???
27
Card 6
27
Set F11
£15.50
???
27
Card 7
27
Set F11
£18.80
www.mathsloops.co.uk
???
Card 8
£4.75 × 5 =
51
???
51
Set F11
£5.15 × 4 =
51
???
£23.75
Card 4
£4.15 × 4 =
51
Set F11
£6.99 × 3 =
£7.75 × 2 =
Card 3
£2.35 × 8 =
51
Set F11
Card 5
27
£18.30
£3.99 × 4 =
51
Set F11
Card 2
27
Set F11
51
???
£17.43
Card 9
£16.74
£3.66 × 5 =
27
Set F11
£16.60
27
Set F11
51
???
Card 11
£20.60
£1.94 × 9 =
£2.09 × 7 =
51
???
Card 10
27
Set F11
www.mathsloops.co.uk
£2.49 × 7 =
51
???
Card 12
27
Set F11
51
???
Name ………………………………………………………...
Multiplication of money
Name ………………………………………………………...
Multiplication of money
ANSWERS
Card Set
ANSWERS
Card Set
F11
F11
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
6
ANSWERS
Card Set
2
11
5
F11
4
8
TOTALS
27
51
www.mathsloops.co.uk
7
12
9
3
Non calculator dividing money (12 cards)
£3.45
Card 1
£3.25
£27.93 ÷ 7 =
44
34
Set F12
£2.25
???
44
Card 5
44
Set F12
£10.50 ÷ 6 =
34
???
34
Set F12
£15.30 ÷ 6 =
Card 2
£3.99
???
£18.00 ÷ 8 =
44
Card 6
44
34
???
34
Set F12
£11.10 ÷ 3 =
Set F12
£3.15
Card 3
£2.40
???
44
Card 7
44
www.mathsloops.co.uk
£17.25 ÷ 5 =
34
???
34
Set F12
£15.75 ÷ 5 =
Set F12
£2.75
Card 4
£1.75
???
Card 8
£11.80 ÷ 4 =
44
Set F12
34
???
£1.95
Card 9
£13.75 ÷ 5 =
44
Set F12
44
Set F12
34
???
£3.70
Card 11
£19.20 ÷ 8 =
£17.55 ÷ 9 =
34
???
£2.95
Card 10
44
Set F12
www.mathsloops.co.uk
£19.50 ÷ 6 =
34
???
£2.55
Card 12
44
Set F12
34
???
Name ………………………………………………………...
Division of money
Name ………………………………………………………...
Division of money
ANSWERS
Card Set
ANSWERS
Card Set
F12
F12
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
9
10
6
11
ANSWERS
Card Set
F12
8
2
TOTALS
44
34
www.mathsloops.co.uk
7
3
5
12
Simplifying fractions (16 cards)
Card 1
2
5
Express in the
simplest form
7
14
67
69
67
Express in the
simplest form
???
67
Card 7
???
67
Set F13
www.mathsloops.co.uk
Card 8
Express in the
simplest form
69
???
???
1
10
Express in the
simplest form
69
69
Set F13
40
50
67
Set F13
???
1
2
9
15
69
4
20
69
Set F13
Express in the
simplest form
16
40
67
67
Card 6
5
6
Express in the
simplest form
12
16
69
Card 4
3
5
Express in the
simplest form
???
Set F13
Card 5
2
7
Set F13
5
20
Card 3
4
9
Express in the
simplest form
???
Set F13
Card 2
1
7
67
Set F13
3
18
???
69
Card 9
3
4
Express in the
simplest form
69
???
Set F13
67
Set F13
???
69
67
Set F13
Express in the
simplest form
6
16
3
21
67
5
50
67
Card 15
1
5
67
Set F13
www.mathsloops.co.uk
35
50
???
69
???
Set F13
Card 16
1
6
Express in the
simplest form
69
???
69
???
Set F13
Express in the
simplest form
Card 12
1
8
Express in the
simplest form
Card 14
3
8
Express in the
simplest form
10
35
69
???
Set F13
Card 13
1
4
67
4
32
Card 11
4
5
Express in the
simplest form
10
12
67
Card 10
7
10
Express in the
simplest form
69
67
Set F13
8
18
???
69
Name ………………………………………………………...
Simplifying fractions
Name ………………………………………………………...
Simplifying fractions
ANSWERS
Card Set
ANSWERS
Card Set
F13
F13
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
11
5
ANSWERS
Card Set
14
8
13
F13
16
2
TOTALS
3
69
67
12
10
9
15
4
www.mathsloops.co.uk
6
Finding fractions of quantities (16 cards)
Card 1
£36
£30
What is
57
???
57
Card 5
£27
Set F14
???
???
Set F14
79
3
5
79
???
Set F14
www.mathsloops.co.uk
What is
2
of £25 ?
5
79
???
Card 8
£9
of £45 ?
57
???
Set F14
What is
57
Set F14
57
Card 7
£13
3 of £35 ?
5
79
1 of £40 ?
5
79
What is
of £50 ?
57
57
Card 6
£10
What is
2
5
???
Set F14
What is
3
of £48 ?
4
79
Card 4
£12
What is
1
of £36 ?
4
79
Card 3
£40
What is
1 of £26 ?
2
Set F14
Card 2
57
Set F14
79
???
Card 9
£24
£8
What is
57
???
57
5 of £64 ?
8
Set F14
79
???
???
3
7
of £90 ?
79
???
Set F14
57
79
???
Set F14
Card 15
£14
of £28 ?
Card 16
£21
What is
What is
What is
5 of £36 ?
6
2 of £48 ?
3
3
of £40 ?
5
57
Set F14
What is
57
Card 14
£50
What is
57
79
Set F14
Card 13
£32
5
9
Card 12
£6
What is
2 of £21 ?
3
79
Card 11
£20
What is
1 of £18 ?
3
Set F14
Card 10
79
???
57
Set F14
www.mathsloops.co.uk
79
???
57
Set F14
79
???
Name ………………………………………………………...
Fractions of quantities
Name ………………………………………………………...
Fractions of quantities
ANSWERS
Card Set
ANSWERS
Card Set
F14
F14
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
5
3
ANSWERS
Card Set
11
14
13
F14
2
15
TOTALS
8
79
57
10
4
6
12
9
www.mathsloops.co.uk
16
Equivalent percentages, fractions and decimals (16 cards)
14
Card 1
60
4 =
5
45 % = 9
59
77
???
Set F15
5
20
Set F15
18
11 =
20
= 85 %
77
???
???
21
59
Set F15
www.mathsloops.co.uk
77
???
???
Set F15
15
%
50
77
%
59
Card 7
0.05 =
77
???
???
Set F15
%
0.21 =
77
Card 6
59
Set F15
59
Card 4
3
30 % = 3
77
Set F15
Card 3
16
%
59
Card 5
59
Card 2
Card 8
= 28 %
59
Set F15
77
???
20
= 75 %
20
25
Card 9
???
Set F15
17
1 =
25
59
Card 13
59
Set F15
???
Set F15
4
77
???
Set F15
www.mathsloops.co.uk
77
Card 16
50
33 13 % =
77
???
???
Set F15
Card 15
59
= 75 %
59
% = 0.25
25
59
20
77
Card 12
55
%
59
Card 14
72% =
77
???
???
80
%
0.6 =
77
Set F15
Card 11
25
48 = 96 %
77
Set F15
10
= 64 %
59
Card 10
59
Set F15
1
77
???
Name ………………………………………………………...
Equivalent percentages, fractions and decimals
Name ………………………………………………………...
Equivalent percentages, fractions and decimals
ANSWERS
Card Set
ANSWERS
Card Set
F15
F15
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
9
3
8
ANSWERS
Card Set
10
16
12
F15
4
6
TOTALS
7
77
59
14
2
5
11
15
www.mathsloops.co.uk
13
Calculating percentages of quantities (16 cards)
£19.20
Card 1
70
Set F16
£10.40
???
Card 5
66
£38.40
???
Card 6
66
Set F16
66
???
Card 7
66
Set F16
www.mathsloops.co.uk
66
£13.50
???
Card 8
Find
8% of £130
70
???
70
Set F16
Find
45% of £82
70
???
£20.80
£14.00
Card 4
Find
26% of £75
70
Set F16
Find
35% of £68
70
???
70
Set F16
Find
17% of £110
Set F16
66
£10.20
Card 3
Find
48% of £80
Find
15% of £90
Find
20% of £70
66
£31.20
Card 2
66
Set F16
70
???
£36.90
Card 9
Find
22% of £95
Find
16% of £120
66
70
Set F16
£20.30
???
66
Card 13
66
???
Card 14
66
Set F16
66
???
Card 15
66
Set F16
www.mathsloops.co.uk
66
£23.10
???
Card 16
Find
12% of £85
70
???
70
Set F16
Find
32% of £65
70
???
£20.90
£19.60
Card 12
Find
65% of £48
70
Set F16
Find
42% of £55
70
???
£18.70
£19.50
Card 11
Find
35% of £58
70
Set F16
Find
28% of £70
Set F16
£23.80
Card 10
66
Set F16
70
???
Name ………………………………………………………...
Percentages of quantities
Name ………………………………………………………...
Percentages of quantities
ANSWERS
Card Set
ANSWERS
Card Set
F16
F16
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
11
9
ANSWERS
Card Set
13
12
7
F16
2
15
TOTALS
8
66
70
10
6
5
3
16
www.mathsloops.co.uk
14
Substituting positive values into formulae (16 cards)
Card 1
15
If a = 6 and b = 3,
find the value of
1
74
???
???
74
???
Set F17
Set F17
74
???
62
Set F17
www.mathsloops.co.uk
Card 8
If x = 7 and y = 2,
find the value of
x – 3y
74
???
???
16
3y - x
62
74
Set F17
If x = 10 and y = 5,
find the value of
If x = 5 and y = 2,
find the value of
62
Card 7
19
x + 6y
74
If a = 5 and b = 10,
find the value of
2b – a
62
Card 6
8
x – 4y
Set F17
???
Set F17
If x = 4 and y = 1, find
the value of
62
74
Card 4
3
7a + 2b
62
Card 5
2
0
2a + b
62
Card 3
If a = 1 and b = 2, find
the value of
If a = 4 and b = 5,
find the value of
3a – 3b
Set F17
Card 2
62
Set F17
74
???
Card 9
4
If a = 2 and b = 3, find
the value of
17
74
???
???
???
62
If x = 2 and y = 3,
find the value of
74
???
62
Set F17
www.mathsloops.co.uk
Card 16
If x = 3 and y = 4, find
the value of
4x + y
74
???
???
20
2x + 5y
62
74
Set F17
Card 15
9
4x – 2y
Set F17
74
Set F17
If x = 7 and y = 10,
find the value of
74
If a = 1 and b = 3,
find the value of
4b – 6a
62
Card 14
6
x + 2y
Set F17
???
Set F17
If x = 10 and y = 5,
find the value of
62
74
Card 12
11
2x – 2y
62
Card 13
5
13
6x – 5y
62
Card 11
If x = 5 and y = 3, find
the value of
If x = 3 and y = 3,
find the value of
4b – 5a
Set F17
Card 10
62
Set F17
74
???
Name ………………………………………………………...
Substituting positive values into formulae
Name ………………………………………………………...
Substituting positive values into formulae
ANSWERS
Card Set
ANSWERS
Card Set
F17
F17
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
15
7
4
ANSWERS
Card Set
13
16
10
F17
8
6
TOTALS
2
62
74
14
12
11
3
5
www.mathsloops.co.uk
9
Solving simple linear equations (16 cards)
8
Card 1
Solve
2
63
???
63
73
Card 5
Solve
16
63
???
www.mathsloops.co.uk
???
12
Card 8
Solve
63
Set F18
73
Card 7
4x = 20
x + 13 = 15
73
???
63
Set F18
Solve
63
Set F18
x + 9 = 18
73
17
10 - x = 7
73
???
63
Card 6
Card 4
Solve
Set F18
Solve
2x = 16
Set F18
???
Set F18
6
x-4=7
4x =16
73
13
3
Card 3
Solve
Solve
x + 4 = 10
Set F18
Card 2
73
???
63
Set F18
73
???
14
Card 9
Solve
9
Solve
x - 6 = 10
63
???
Set F18
5
???
Solve
10
???
www.mathsloops.co.uk
???
4
Card 16
Solve
63
Set F18
73
Card 15
x-7=7
73
???
63
Set F18
Solve
63
Set F18
x + 10 = 20
73
7
x + 3 = 20
73
???
63
Card 14
Card 12
Solve
Set F18
Solve
x - 3 = 10
11
x - 11 = 1
73
Set F18
Card 11
Solve
63
Card 13
63
15
2x = 14
73
Set F18
Card 10
x + 5 = 20
73
???
63
Set F18
73
???
Name ………………………………………………………...
Solving linear equations
Name ………………………………………………………...
Solving linear equations
ANSWERS
Card Set
ANSWERS
Card Set
F18
F18
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
10
5
ANSWERS
Card Set
15
9
13
F18
6
8
TOTALS
3
63
73
11
16
12
2
7
www.mathsloops.co.uk
14
Solving problems involving angles on a straight line and angles at a point and angles in a triangle (16 cards)
Card 1
137°
Card 2
33°
Card 3
31°
56°
Card 4
Find x
58°
x°
50°
37°
62
74
???
Set F19
118°
62
???
Set F19
Card 5
74
???
Set F19
62
160 °
x°
74
???
Card 7
34°
???
138°
Card 8
57°
48 °
x°
53 °
62
Set F19
70
Set F19
122 °
62
Set F19
62
Card 6
85°
x°
103°
74
62°
87°
x°
176 °
x°
80°
74
???
x°
62
Set F19
www.mathsloops.co.uk
x°
74
???
62
Set F19
74
???
Card 9
156°
Card 10
130°
4°
Card 11
78°
Card 12
x°
x°
250 °
x°
x°
301 °
76 °
62
74
???
Set F19
18°
62
74
???
Set F19
Card 13
62
72°
74
???
Set F19
Card 14
79°
31°
31°
59°
62
74
???
Set F19
Card 15
87°
Card 16
x°
89 °
62°
x°
62°
62
Set F19
24 °
134 °
74
???
62
Set F19
74
???
62
Set F19
www.mathsloops.co.uk
x°
42°
74
???
62
Set F19
74
???
Name ………………………………………………………...
Angles on a line and at a point
Name ………………………………………………………...
Angles on a line and at a point
ANSWERS
Card Set
ANSWERS
Card Set
F19
F19
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
15
14
ANSWERS
Card Set
8
2
7
F19
6
9
TOTALS
12
62
74
16
3
13
5
11
www.mathsloops.co.uk
4
Measuring angles to the nearest degree (16 cards)
40º
Card 1
8º
76
???
Set F20
89º
60
348º
Measure this angle
Set F20
60
Card 6
60
Set F20
???
175º
60
Card 7
60
Set F20
www.mathsloops.co.uk
76
215º
Card 8
Measure this angle
76
???
???
Set F20
Measure this angle
76
???
132º
Card 4
Measure this angle
76
Set F20
Measure this angle
76
???
???
Set F20
Card 3
Measure this angle
76
Card 5
60
35º
Measure this angle
Measure this angle
60
Card 2
60
Set F20
76
???
70º
60
Card 9
Measure this angle
330º
60
21º
Measure this angle
Set F20
60
Card 14
60
Set F20
???
120º
60
Card 15
60
Set F20
www.mathsloops.co.uk
76
52º
Card 16
Measure this angle
76
???
???
Set F20
Measure this angle
76
???
113º
Card 12
Measure this angle
76
Set F20
Measure this angle
76
???
???
Set F20
Card 11
Measure this angle
76
Card 13
60
147º
Measure this angle
76
???
Set F20
63º
Card 10
60
Set F20
76
???
Name ………………………………………………………...
Measuring angles to the nearest degree
Name ………………………………………………………...
Measuring angles to the nearest degree
ANSWERS
Card Set
ANSWERS
Card Set
F20
F20
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
10
12
2
ANSWERS
Card Set
3
16
7
F20
8
15
TOTALS
13
76
60
9
6
5
14
11
www.mathsloops.co.uk
4
Calculating the area and perimeter of rectangles (16 cards)
Card 1
49
Card 2
16
Card 3
30
12
Card 4
8 cm
8 cm
3 cm
4 cm
4 cm
5 cm
9 cm
64
The area of this
rectangle is ….cm2
72
???
Set F21
27
64
The perimeter of this
rectangle is ….cm
???
Set F21
Card 5
72
64
The area of this
rectangle is ….cm2
28
???
Set F21
Card 6
72
64
The area of this
square is ….cm2
24
???
Set F21
Card 7
72
18
Card 8
9 cm
1 cm
5 cm
1 cm
12 cm
64
The perimeter of this
square is ….cm
Set F21
???
72
64
The area of this
rectangle is ….cm2
Set F21
4 cm
12 cm
???
72
64
The perimeter of this
rectangle is ….cm
Set F21
www.mathsloops.co.uk
???
72
64
The area of this
rectangle is ….cm2
Set F21
???
72
Card 9
25
Card 10
20
Card 11
32
Card 12
36
7 cm
10 cm
5 cm
5 cm
3 cm
64
The area of this
rectangle is ….cm2
72
???
Set F21
64
The perimeter of this
rectangle is ….cm
72
???
Set F21
Card 13
26
2 cm
2 cm
64
The area of this
rectangle is ….cm2
14
6 cm
Set F21
???
Set F21
Card 16
10
8 cm
5 cm
1 cm
???
72
9 cm
8 cm
The area of this
rectangle is ….cm2
The area of this
square is ….cm2
64
Card 15
42
7 cm
64
???
Set F21
Card 14
72
72
64
The perimeter of this
rectangle is ….cm
Set F21
???
72
64
2 cm
The perimeter of this
rectangle is ….cm
Set F21
www.mathsloops.co.uk
???
72
64
The area of this
rectangle is ….cm2
Set F21
???
72
Name ………………………………………………………...
Area and Perimeter of rectangles
Name ………………………………………………………...
Area and Perimeter of rectangles
ANSWERS
Card Set
ANSWERS
Card Set
F21
F21
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
16
12
ANSWERS
Card Set
2
7
8
F21
13
14
TOTALS
15
64
72
10
5
6
3
9
www.mathsloops.co.uk
4
Rounding to the nearest 10 and 100 (16 cards)
400
Card 1
590
78 rounded to
the nearest 10
is …….
65
???
110
65
50
274 rounded to
the nearest 10
is …….
Set G1
65
Card 6
65
Set G1
???
350
65
Card 7
65
Set G1
www.mathsloops.co.uk
71
600
Card 8
54 rounded to
the nearest 10
is …….
71
???
???
Set G1
378 rounded to
the nearest 100
is …….
71
???
270
Card 4
345 rounded to
the nearest 10
is …….
71
Set G1
593 rounded to
the nearest 10
is …….
71
???
???
Set G1
Card 3
186 rounded to
the nearest 10
is …….
71
Card 5
65
100
106 rounded to
the nearest 10
is …….
71
Set G1
Card 2
65
Set G1
71
???
500
Card 9
200
604 rounded to
the nearest 10
is …….
65
???
300
65
Card 13
65
65
Card 14
65
Set G1
71
80
190
65
Set G1
www.mathsloops.co.uk
71
150
Card 16
348 rounded to
the nearest 100
is …….
71
???
???
Set G1
Card 15
65
Card 12
182 rounded to
the nearest 10
is …….
451 rounded to
the nearest 100
is …….
71
???
???
Set G1
178 rounded to
the nearest 100
is …….
71
???
???
180
174 rounded to
the nearest 10
is …….
Set G1
71
Set G1
170
Card 11
78 rounded to the
nearest 100
is …….
145 rounded to
the nearest 10
is …….
71
Set G1
Card 10
65
Set G1
71
???
Name ………………………………………………………...
Rounding to the nearest 10
Name ………………………………………………………...
Rounding to the nearest 10
ANSWERS
Card Set
ANSWERS
Card Set
G1
G1
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
12
14
7
ANSWERS
Card Set
10
16
4
G1
13
5
TOTALS
11
71
65
2
6
3
8
9
www.mathsloops.co.uk
15
Addition without a calculator (16 cards)
Card 1
141
Card 2
117
Work out
6 2
2 7
89
What is
9 5
5 8
92 + 13 + 27 ?
+
70
???
66
70
???
Set G2
Card 5
140
120
+
32 + 48 + 27 ?
66
70
???
Set G2
Card 6
133
What is
132
6 8
4 8
Find the total of
47 + 73 ?
66
70
???
70
???
Card 7
Card 8
118
Work out
Find the total of
+
6 6
4 4
75 + 43 ?
66
Set G2
66
Set G2
Work out
Set G2
Card 4
Work out
66
Set G2
Card 3
70
???
66
Set G2
www.mathsloops.co.uk
70
???
+
66
Set G2
70
???
Card 9
160
185
66
70
???
98
116
66
70
???
Set G2
Card 13
110
153
66
156 + 29 ?
70
???
Set G2
Card 14
Card 12
What is
109 + 51 ?
23 ,67 and 43
43 ,55 and 19
Card 11
What is
Add together
Add together
Set G2
Card 10
66
???
Set G2
Card 15
91
70
107
Card 16
Work out
11 9
2 1
+
66
Set G2
What is
19 + 23 + 49 ?
70
???
66
Set G2
What is
Add together
70
???
67 + 74 ?
43 ,37 and 18
66
Set G2
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70
???
66
Set G2
70
???
Name ………………………………………………………...
Addition
Name ………………………………………………………...
Addition
ANSWERS
Card Set
ANSWERS
Card Set
G2
G2
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
3
12
16
ANSWERS
Card Set
10
6
4
G2
11
5
TOTALS
9
66
70
13
15
2
14
8
www.mathsloops.co.uk
7
Subtraction without a calculator (16 cards)
Card 1
52
Card 2
45
Work out
6 5
2 1
What is
9 2
6 4
64 – 37 ?
94
???
42
94
???
Set G3
Card 5
56
44
66
Find the difference
102 - 59
between 35 and 92
94
???
42
Set G3
-
between 47 and 80
94
???
Set G3
42
Card 7
33
Card 8
Work out
42
www.mathsloops.co.uk
???
82
7 1
2 9
71 – 45 ?
Set G3
94
Set G3
What is
94
???
Find the difference
42
Card 6
Work out
42
Set G3
39
Card 4
Work out
42
Set G3
Card 3
94
???
-
42
Set G3
94
???
Card 9
28
41
94
???
Set G3
8 0
3 9
42
94
???
Set G3
Card 13
36
43
Work out
12 0
3 8
123 - 84
Set G3
94
???
-
???
57
42
Card 15
94
???
42
Set G3
26
www.mathsloops.co.uk
Card 16
between 59 and 125
94
???
???
Find the difference
104 – 59 ?
-
94
Set G3
What is
42
Set G3
140 – 84 ?
94
Card 14
27
Card 12
What is
42
Set G3
Work out
42
42
115 - 79
between 49 and 101
Card 11
Work out
Work out
Find the difference
42
Card 10
42
Set G3
94
???
Name ………………………………………………………...
Subtraction
Name ………………………………………………………...
Subtraction
ANSWERS
Card Set
ANSWERS
Card Set
G3
G3
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
7
9
ANSWERS
Card Set
16
6
3
G3
15
13
TOTALS
2
42
94
10
11
12
8
14
www.mathsloops.co.uk
5
Solving addition and subtraction problems (16 cards)
23
Card 1
Mike has 15 marbles. He
wins 17 more marbles.
One bag holds 48 sweets
and another bag contains 34
sweets. How many sweets
are there altogether?
How many marbles does
Mike have now ?
60
76
???
Set G4
72
60
Card 5
60
???
52
60
How many balloons does Ali
have left ?
60
76
???
16
www.mathsloops.co.uk
60
76
???
105
Card 8
Emma thinks of a number
and adds 25 to it. She gets
an answer of 77.
What was the number she
thought of ?
76
???
Card 4
There are 31 children in
class 7B. If 17 of them are
girls how many boys are
there in the class ?
Card 7
60
Set G4
78
Set G4
A coach can hold 52
passengers. If there are 29
people seated, how many
empty seats will there be?
76
???
Card 3
Ali had 25 balloons. A gust of
wind blew 9 of them away.
Card 6
What was his total score ?
Set G4
43
Set G4
With three darts Dom
scores 19, 7 and double
20.
76
???
76
Set G4
In an end of year test Cal
scored 15 more marks than
his friend Becky. If Becky
scored 63 marks what was
Cal’s score?
Set G4
66
Card 2
60
Set G4
76
???
83
Card 9
Charlie thinks of a number
and takes away 17. He gets
an answer of 55.
85
76
???
Set G4
36
A small library has 68 books
at the start of the day. During
the day 37 books are
returned to the library.
How many points does Bill
need to catch up
with Kaz?
How many books are in the
library at the end of the day?
60
76
???
Set G4
Card 13
82
Chris scores 116 marks in a
test. Sal scores 67 marks in
the same test.
How many seats are still
empty?
What is the difference in
their scores?
Set G4
76
???
60
Set G4
60
???
67
60
www.mathsloops.co.uk
76
???
Card 12
Emily delivers newspapers.
On Monday she delivers 23,
Tuesday she delivers 29
and on Wednesday she
delivers 33.
60
How many papers has
Emily delivered?
Card 15
What is her total score ?
Set G4
49
76
???
Set G4
Jess throws three darts. She
scores double 8 with the
first, double 5 with the
second and 17 with the third.
76
???
76
Set G4
Card 14
A small aeroplane has 159
seats. 76 people get on the
plane and sit down.
60
32
Card 11
Kaz wins 72 points in a
game. His friend Bill scores
only 36.
What was the number he
thought of
60
Card 10
14
Card 16
In a school there are 146
pupils in Year 7.
If 79 of the pupils are boys,
how many girls are there in
year 7?
60
Set G4
76
???
Name ………………………………………………………...
Addition and subtraction word problems
Name ………………………………………………………...
Addition and subtraction word problems
ANSWERS
Card Set
ANSWERS
Card Set
G4
G4
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
8
7
ANSWERS
Card Set
6
2
3
G4
14
15
TOTALS
12
60
76
16
4
10
5
9
www.mathsloops.co.uk
13
Addition of money (16 cards)
£10
Card 1
£7.91
What is
What is
62
74
£7.80
???
£6.40
74
???
Card 6
£10.30
???
Card 7
www.mathsloops.co.uk
???
Card 8
What is
62
Set G5
74
£5.10
£12.59 + £4.71?
£6.45 + £2.45?
74
???
62
Set G5
What is
62
Set G5
£7.35 + 56p?
74
Set G5
Card 4
What is
62
£1.99 + 91p?
£9.34 + 96p?
Set G5
???
What is
What is
£8.90
£1.34 + £6.46?
74
Set G5
Card 3
What is
62
Card 5
62
£2.90
£5.50 + £4.50?
£2.35 + £2.75?
Set G5
Card 2
74
???
62
Set G5
74
???
£20.00
Card 9
£18.90
Card 10
What is
48p + 38p + £7.14?
94p + £1.75 + 63p?
74
Set G5
£17.30
???
74
Set G5
Card 13
What is
£3.32
???
62
???
62
Card 14
???
74
???
62
Card 15
£10.70
62
www.mathsloops.co.uk
???
Card 16
What is
£7.25 + £11.65?
£1.75 + £1.65?
Set G5
74
Set G5
What is
62
Set G5
74
£12.40
76p + £4.72 + 92p?
74
17p + £9.73 + 80p?
£10.35 + £9.65?
Set G5
What is
£11.75 + 65p?
Set G5
62
£8.00
Card 12
What is
What is
What is
62
£3.40
Card 11
74
???
62
Set G5
74
???
Name ………………………………………………………...
Addition of money
Name ………………………………………………………...
Addition of money
ANSWERS
Card Set
ANSWERS
Card Set
G5
G5
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
13
2
ANSWERS
Card Set
15
11
4
G5
9
7
TOTALS
12
62
74
5
3
16
6
14
www.mathsloops.co.uk
10
Identifying factors (16 cards)
1, 2, 13
Card 1
The factors of 12 are :
12
54
?
???
?
Card 5
The factors of 33 are :
Card 6
?
82
???
54
?
Set G6
???
3
?
?
82
54
Set G6
www.mathsloops.co.uk
???
30
?
3
82
???
Card 8
The factors of 56 are :
1
4
5
4, 8,16
?
2
16 ?
?
???
Card 7
3, 7, 21
64
?
54
Set G6
The factors of 64 are :
The factors of 15 are :
?
10
82
Set G6
?
?
?
54
?
33
Set G6
???
1, 5, 10
The factors of 30 are :
1
3
82
?
54
?
1, 5, 15
?
1
54
Set G6
1, 5, 25
6
21
7
82
4, 5, 20
?
2
Card 4
Card 3
The factors of 27 are :
The factors of 42 are :
?
3
Set G6
4, 8, 56
1
?
Card 2
7
82
54
Set G6
28
?
14
?
1
82
???
Card 9
2, 8, 32
1, 3, 11
The factors of 26 are :
?
2
82
???
Set G6
The factors of 25 are :
32
?
82
???
54
Set G6
?
?
2
1
82
???
Card 14
The factors of 40 are :
1
?
?
82
???
54
2, 6, 15
Set G6
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The factors of 18 are :
40
???
1
?
9
?
8
???
Card 16
10
2
82
Set G6
1, 9, 27
?
?
54
Card 15
1
?
?
14
Set G6
The factors of 32 are :
?
Set G6
???
2, 4 ,7
2, 3, 18
?
?
54
Card 12
The factors of 21 are :
?
?
82
Set G6
3, 14, 42
28
?
1
?
54
Card 13
54
2, 4, 6
?
26 ?
Card 11
The factors of 28 are :
The factors of 10 are :
?
54
Card 10
82
54
Set G6
?
?
6
???
82
Name ………………………………………………………...
Identifying factors
Name ………………………………………………………...
Identifying factors
ANSWERS
Card Set
ANSWERS
Card Set
G6
G6
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
11
14
9
ANSWERS
Card Set
8
2
5
G6
12
15
TOTALS
7
54
82
3
13
10
16
4
www.mathsloops.co.uk
6
Identifying fractions (16 cards)
Card 2
Card 1
one-sixth
three-quarters
What fraction of the figure
is shaded ?
What fraction of the figure
is shaded ?
54
82
???
Set G7
7
10
54
Card 5
3
7
Set G7
82
???
Card 6
54
Set G7
What fraction of the figure
is shaded ?
82
???
1
3
www.mathsloops.co.uk
82
???
Card 8
Card 7
two-thirds
54
Set G7
54
Set G7
What fraction of the figure
is not shaded ?
What fraction of the figure
is shaded ?
82
???
three-fifths
54
Set G7
What fraction of the figure
is unshaded ?
What fraction of the figure
is shaded ?
54
???
Card 4
Card 3
What fraction of the figure
is shaded ?
82
Set G7
5
12
82
???
54
Set G7
82
???
Card 9
1
4
three-tenths
82
???
Set G7
1
2
Card 13
54
???
1
8
Card 14
54
Set G7
one-fifth
What fraction of the figure
is shaded ?
82
???
2
5
Card 15
54
Set G7
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54
???
4
9
Card 16
What fraction of the figure
is shaded ?
82
???
82
Set G7
What fraction of the figure
is not shaded ?
82
???
Card 12
Card 11
54
Set G7
What fraction of the figure
is shaded ?
82
???
82
Set G7
What fraction of the figure
is unshaded ?
Set G7
54
5
6
What fraction of the figure
is unshaded ?
What fraction of the figure
is shaded ?
What fraction of the figure
is not shaded ?
54
Card 10
54
Set G7
82
???
Name ………………………………………………………...
Identifying fractions
Name ………………………………………………………...
Identifying fractions
ANSWERS
Card Set
ANSWERS
Card Set
G7
G7
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
10
16
ANSWERS
Card Set
15
8
3
G7
13
12
TOTALS
11
54
82
5
9
6
14
4
www.mathsloops.co.uk
2
Finding the rules for simple sequences (16 cards)
÷ 10
Card 1
31, 28, 25, 22, ..
+2
87
???
Set G8
+9
25, 35, 45, 55…..
The rule for this
sequence is………
The rule for this
sequence is………
The rule for this
sequence is………
49
Card 5
Set G8
49
Card 6
× 10
Set G8
87
???
49
87
???
Set G8
Card 7
-3
Card 8
83, 74, 65, 56……
6, 11, 16, 21, …..
The rule for this
sequence is………
The rule for this
sequence is………
The rule for this
sequence is………
49
87
???
Set G8
84, 73, 62, 51,….
87
???
87
???
-4
The rule for this
sequence is………
49
-5
Card 4
1, 8, 15, 22…..
Set G8
2, 6, 18, 54…..
÷2
Card 3
42, 38, 34, 30….
The rule for this
sequence is………
49
Card 2
49
Set G8
www.mathsloops.co.uk
???
87
49
Set G8
???
87
×3
Card 9
49, 44, 39, 34….
49
The rule for this
sequence is………
-9
87
Set G8
???
???
+4
49
Card 14
Set G8
49
Set G8
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87
Card 15
Card 16
40, 20, 10, 5, ….
The rule for this
sequence is………
87
???
???
- 11
The rule for this
sequence is………
87
???
49
Set G8
3, 30, 300, 3000…
The rule for this
sequence is………
49
The rule for this
sequence is………
???
+7
Card 12
31, 33, 35, 37…
87
Set G8
1, 2, 4, 8, 16 …...
87
×2
The rule for this
sequence is………
87
Set G8
24, 33, 42, 51….
49
49
Card 11
3, 7, 11, 15……
The rule for this
sequence is………
Card 13
The rule for this
sequence is………
+5
7000, 700, 70, 7….
???
Set G8
+ 10
Card 10
49
Set G8
87
???
Name ………………………………………………………...
Finding rules for sequences
Name ………………………………………………………...
Finding rules for sequences
ANSWERS
Card Set
ANSWERS
Card Set
G8
G8
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
11
10
ANSWERS
Card Set
14
12
4
G8
2
9
TOTALS
6
49
87
5
13
16
7
15
www.mathsloops.co.uk
3
Finding perimeters and areas by counting (16 cards)
Card 1
4
The perimeter of this figure is
53
?
units
83
???
Set G9
Set G9
units
???
?
square units
83
83
???
Set G9
The perimeter of this figure is
?
53
8
Set G9
?
24
53
Card 6
square units
???
?
square units
83
53
Set G9
www.mathsloops.co.uk
?
units
???
?
53
units
12
Card 8
The area of this figure is
?
83
83
???
Set G9
The perimeter of this figure is
83
9
Card 7
16
Card 4
The perimeter of this figure is
???
Set G9
The area of this figure is
53
Card 3
The area of this figure is
The area of this figure is
Card 5
7
53
13
Card 2
square units
53
Set G9
83
???
Card 9
15
The perimeter of this figure is
53
?
units
83
???
Set G9
Set G9
?
The area of this figure is
53
units
???
?
square units
83
53
Set G9
?
units
83
???
?
53
units
83
???
Set G9
The perimeter of this figure is
83
10
Card 14
17
Card 11
The perimeter of this figure is
???
Set G9
The area of this figure is
53
18
Card 13
28
Card 10
20
Set G9
www.mathsloops.co.uk
?
The area of this figure is
53
Card 15
square units
???
?
square units
83
???
Set G9
14
Card 16
The area of this figure is
The area of this figure is
53
22
Card 12
83
53
Set G9
?
square units
???
83
Name ………………………………………………………...
Finding perimeters and area by counting
Name ………………………………………………………...
Finding perimeters and area by counting
ANSWERS
Card Set
ANSWERS
Card Set
G9
G9
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
8
4
13
ANSWERS
Card Set
15
11
5
G9
16
12
TOTALS
2
53
83
9
10
6
14
3
www.mathsloops.co.uk
7
Naming 2-D and 3-D shapes (16 cards)
CIRCLE
Card 1
What is the name of this shape?
63
73
Set G10
???
SQUARE
63
Card 5
63
Set G10
73
???
73
???
EQUILATERAL
TRIANGLE
CUBOID
What is the name of this shape?
63
Card 6
63
73
???
73
???
Set G10
What is the name of this shape?
Set G10
Card 3
Octagon
HEXAGON
What is the name of this shape?
Set G10
What is the name of this shape?
Card 2
RIGHT
ANGLED
TRIANGLE
www.mathsloops.co.uk
63
73
Set G10
???
Card 8
PYRAMID
What is the name of this shape?
Set G10
What is the name of this shape?
Card 7
63
73
???
Card 4
What is the name of this shape?
63
Set G10
73
???
CUBE
63
73
???
CYLINDER
What is the name of this shape?
63
Card 13
63
73
???
73
Set G10
What is the name of this shape?
Set G10
RECTANGLE
PARALLELOGRAM
What is the name of this shape?
Set G10
Card 10
Card 9
???
ISOSCELES
TRIANGLE
63
Set G10
63
Card 14
What is the name of this shape?
73
???
CONE
What is the name of this shape?
73
Set G10
???
RHOMBUS
63
73
???
Card 16
Card 15
63
www.mathsloops.co.uk
What is the name of this shape?
Set G10
SPHERE
What is the name of this shape?
Set G10
Card 12
Card 11
73
???
What is the name of this shape?
63
Set G10
73
???
Name ………………………………………………………...
Naming 2-D and 3-D shapes
Name ………………………………………………………...
Naming 2-D and 3-D shapes
ANSWERS
Card Set
ANSWERS
Card Set
G10
G10
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
4
11
8
ANSWERS
Card Set
14
2
16
G10
7
5
TOTALS
12
73
63
10
9
13
15
3
www.mathsloops.co.uk
6
Reading analogue clocks (16 cards)
7.45
Card 1
Write down the time shown
on the clock.
62
74
???
Set G11
5.30
7.20
6.55
Card 3
Look at the clock. What will
the time be 20 minutes later?
Write down the time shown
on the clock.
62
62
74
???
Set G11
Card 5
A lesson lasting 40 minutes,
started at 9.15.
Card 2
Card 6
1.50
Write down the time
shown on the clock.
Look at the clock. What was
the time be 35 minutes earlier?
74
???
Set G11
2.15
Set G11
74
???
Card 7
9.55
Write down the time shown on
the clock.
Card 8
A TV show lasting 35
minutes, ended at 7.05.
What time did the TV show
start ?
74
???
62
Set G11
What time did the lesson
finish?
62
5.10
Card 4
62
Set G11
74
???
62
Set G11
www.mathsloops.co.uk
74
???
62
Set G11
74
???
10.30
Card 9
10.10
Card 10
Write down the time shown
on the clock.
Look at the clock. What was
the time 50 minutes later?
9.05
Card 11
3.40
Look at the clock. What was
the time 55 minutes earlier?
Card 12
A race lasting 45 minutes,
started at 1.05.
What time did the race
finish ?
62
74
???
Set G11
6.30
62
74
???
Set G11
Card 13
Write down the time shown
on the clock.
4.10
62
74
Set G11
Card 14
Kate gets on the bus at 8.20.
The journey to school takes
45 minutes.
11.20
???
Set G11
74
???
62
Set G11
74
Card 15
Write down the time shown
on the clock.
???
62
Set G11
www.mathsloops.co.uk
???
5.25
Card 16
Jed’s favourite TV
programme starts at 6.35. If
the programme is on for 45
minutes, what time will it
finish?
74
???
74
Set G11
What time does Kate
get to school?
62
62
62
Set G11
74
???
Name ………………………………………………………...
Using analogue clocks
Name ………………………………………………………...
Using analogue clocks
ANSWERS
Card Set
ANSWERS
Card Set
G11
G11
TOTALS
TOTALS
www.mathsloops.co.uk
www.mathsloops.co.uk
1
7
10
6
ANSWERS
Card Set
16
2
12
G11
14
13
TOTALS
11
62
74
8
5
4
3
9
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15
Calculating the median and mode – odd number of observations only
54
Card 1
The heights (in cm) of 10
children are
What is the modal height?
76
???
Set G12
95
84, 89, 92, 78, 91, 90,
81, 84, 85, 79, 80
What is the median weight ?
What is the modal size ?
Find the median weight
60
???
???
24
Find his median mark
Set G12
76
60
Card 6
60
Card 7
11, 12, 11, 13, 15, 9,
11, 14, 14, 15, 12
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What is the median age?
76
???
Card 8
The ages of players in the
school football team are :
What is the median age ?
66
???
98
51, 23, 45, 32, 56,
56, 47, 39, 29, 79, 66
Set G12
76
Set G12
The ages of 11 people in a
hospital ward are
76
???
???
35
Find the median score.
66
Set G12
76
Set G12
45, 23, 67, 34, 18, 72,
35, 65, 45, 28, 34
76
The weights, in kg, of 11
football players are
A shop records the sizes of
shoes they sell one day
The marks scored pupils in
a maths test are
23, 67, 76, 87, 91,
10, 31, 55, 75
25
Card 4
3, 6, 4, 4, 2, 9,
2, 6, 7, 4, 6, 7, 6
Set G12
In his end of year tests Alex
scored the following marks
47
Card 3
100, 123, 98, 106, 121,
98, 109, 115, 120
Card 5
66
Card 2
The weights, in grams, of
nine apples are
90, 98, 95, 98, 94
98, 96, 94, 92, 91
60
84
(16 cards)
66
Set G12
76
???
109
Card 9
The quiz master records the
marks of the teams
101, 98, 45, 56, 49, 23,
45, 46, 48, 98, 97, 67, 54
60
Find the median mark.
76
???
Set G12
45
67
Chaz counts the number of
sweets in 9 different bags
Set G12
???
60
Card 14
???
60
Set G12
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Card 16
The ages of players in the
school band are :
13, 14, 13, 10, 12, 13,
10, 13, 14, 12, 13
76
???
???
6
What is the median length?
76
76
Card 15
18, 19, 17, 15, 8,
18, 19, 17, 11
What is the modal age?
Set G12
60
Set G12
Hal measures, in cm, the
length of 9 worms
14, 15, 14, 11, 13, 14,
11, 14, 15, 13, 14
60
90, 98, 95, 98, 94
98, 96, 94, 92
Find the median height
76
???
12
Card 12
The heights (in cm) of 9
children are
Find the modal score
Set G12
The ages of players in the
school band are :
23, 17, 24, 15, 31,
30, 29, 28, 24
What is the median number
of sweets in a bag?
60
76
???
17
13
45, 23, 67, 34, 45, 18
72, 35, 65, 45, 28, 34, 22
What is the modal number of
sweets in a bag?
60
76
Set G12
14
Card 11
The marks scored by 13
pupils in a maths test are
24, 18, 25, 16, 32,
31, 30, 29, 25
Card 13
Chaz counts the number of
sweets in 9 different bags
Card 10
What is the median age?
60
Set G12
76
???
Name ………………………………………………………...
Median and Mode
Name ………………………………………………………...
Median and Mode
ANSWERS
Card Set
ANSWERS
Card Set
G12
G12
TOTALS
TOTALS
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1
8
15
9
ANSWERS
Card Set
14
11
2
G12
13
4
TOTALS
6
60
76
10
5
7
12
16
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3
Instructions
Step 1 : Preparation
Print out one of the free sets of cards available to download, and cut them out. (Probably a good
idea to print out the pupils answer sheet at this point) - The grade C set covering 'Parallel and
Intersecting lines' has been used for this example.
It takes pupils no time at all to cut out the cards - each set can then
be stored and used again, and again.......
Step 2 : Select a starting point
Pick any card to start, and answer the question
Card 10
Answer : x = 75°
Step 3 : Find the next card in the loop
Find the card that shows your answer
Card 7
Now answer the question on this card
…….….find the card with you answer……….
Step 4 : Keep going until you have answered all of the cards
Repeat the process, keeping your cards in order as you work - CARD 10, CARD ……..
(or record your card sequence on the pupils answer sheet as you work)
Step 5 : Time to check your work!
Using the completed Pupil answer sheet showing the order in which you completed the cards
-
Add together the card numbers in the squares
record your total in one of the 'Totals' boxes
-
Add together the card numbers in the circles
record your total in the other 'Totals' box
Step 6 : The moment of truth!
Take any card from the set you have been using and look at the numbers in the two circles.
If these totals are the same as the ones you have just recorded in Step 5 - then you have probably
answered all of the questions correctly.
(An additional check would be to look at the answer sheet to check that the order is correct)