Year 7, 2014
Exam revision
ANSWERS
1
Tick off,
when you
have revised!
Number:
3.3 Rounding Numbers

1.3 Arithmetic

1.2 Averages and Range

1.6 Long Multiplication and Division
1.5 Decimals 1

2.2 Fractions

4.1 Ratio & Proportion

2.5 Percentages

3.2 Orders of Operation

3.1 Properties of Number

3.4 Negative Numbers

4.6 Metric and Imperial Units 
4.2 Decimals 2

4.5 Solving Problems

Algebra:
2.1 Number Machines
1.1 Sequences
2.4 Rules of Algebra
4.3 Solving Equations
2.3 Coordinates
4.4 Straight Line Graphs






Shape and space:
1.4 Area and Perimeter
3.6 Calculating Angles
5.2 Reflection
5.1 Rotation
5.3 Translation
5.4 Construction
3.5 3D Objects and Nets






2

Round these numbers to the nearest 10:
1) 15
2) 34
3) 57
4) 121
5) 299
Round these numbers to the nearest 1 dp:
1) 15.21
2) 34.37
3) 57.59
4) 121.35
5) 205.99
3
Round these numbers to the nearest 10:
1) 15
20
2) 34
30
3) 57
60
4) 121
120
5) 299
300
Round these numbers to the nearest 1 dp:
1) 15.21
15.2
2) 34.37
34.4
3) 57.59
57.6
4) 121.35
121.4
5) 205.99 206.0
4
1) 234 + 25
2)532 + 17
3)699 + 19
4)999+127
5)19+35
6)55-11
7)39-12
8)126-17
9)319-21
10)678-99
5
1) 234 + 25
2)532 + 17
3)699 + 19
4)999+127
5)19+35
6)55-11
7)39-12
8)126-17
9)319-21
10)678-99
259
549
718
1126
54
44
27
109
298
579
6
7
7
21
6m
Blue
car
6
7.8
18
28
10.5
13
1.5
8cm
5m82
1) 12 x 13
2)62 x 9
3)199 x 9
4) 505 x 5
5) 31 x 30
6)715 ÷ 4
7)235 ÷ 5
8)48 ÷ 4
9)558 ÷ 9
10)14032 ÷ 8
9
1) 12 x 13
2)62 x 9
3)199 x 9
4) 505 x 5
5) 31 x 30
6)715 ÷ 4
7)235 ÷ 5
8)48 ÷ 4
9)558 ÷ 9
10)14032 ÷ 8
156
558
1791
2525
930
178.75
47
12
62
1754
10
Arrange these in order smallest to biggest
1)0.21, 0.31, 0.12
2)0.15, 0.143, 0.2
3) 1.2, 0.12, 0.21, 1.12
4) 2.3, 2.03, 0.75, 0.8
5) £1.20, 75p, £0.8
Work out:
1) 5+0.26
2) 0.078+2.05
3) 13.47+27.084
4) 59.2-34.8
5) 12-3.74
11
Arrange these in order smallest to biggest
0.12, 0.21, 0.31
1)0.21, 0.31, 0.12
0.143, 0.15, 0.2
2)0.15, 0.143, 0.2
0.12, 0.21, 1.12, 1.2
3) 1.2, 0.12, 0.21, 1.12
0.75, 0.8, 2.03, 2.3
4) 2.3, 2.03, 0.75, 0.8
75p, £0.8, £1.20
5) £1.20, 75p, £0.8
Work out:
1) 5+0.26
2) 0.078+2.05
3) 13.47+27.084
4) 59.2-34.8
5) 12-3.74
5.26
2.128
40.554
24.4
8.26
12
1) 5.1 x 2
2)9 x 0.074
3)0.3 x 4
4)4.23 x 10
5)0.427 x 100
6)8.42 ÷ 2
7)205.2 ÷ 6
8)89.2 ÷ 10
9)7 ÷ 1000
10)890.4 ÷ 10
13
1) 5.1 x 2
2)9 x 0.074
3)0.3 x 4
4)4.23 x 10
5)0.427 x 100
6)8.42 ÷ 2
7)205.2 ÷ 6
8)89.2 ÷ 10
9)7 ÷ 1000
10)890.4 ÷ 10
10.2
0.666
1.2
42.3
42.7
4.21
34.2
8.92
0.007
89.04
14
Harder (level 6 ) decimal questions
1) 51 x 0.02
1.02
2) 912 ÷ 0.12
7600
3) 5791 × 21.3
123348.3
4)69.2 ÷ 13 (3dp) 5.323
15
Harder (level 6 ) decimal questions
1) 51 x 0.02
2) 912 ÷ 0.12
3) 5791 × 21.3
4)69.2 ÷ 13 (3dp)
16
Work out what the “?” represents:
1) 15 = ?
20 4
2) 8 = ? = ?
12 6 3
3) ? = 3 = 15
21 7 ?
4) ? = 3 = ?
10 5 25
5) 21 = ? = 7
? 30 15
17
Work out what the “?” represents:
1) 15 = ?
3
20 4
2) 8 = ? = ?
12 6 3
4, 2
3) ? = 3 = 15
21 7 ?
9, 35
4) ? = 3 = ?
10 5 25
6, 15
5) 21 = ? = 7
? 30 15
45, 14
18
Change the following to mixed numbers:
1) 7/2
2) 10/7
3) 9/4
4)150/100
5) 19/5
Change the following to improper fractions:
1) 1 ¼
2) 1 ⅓
3) 2⅟5
4)8 3/7
5) 3 1/10
19
Change the following to mixed numbers:
1) 7/2
3½
2) 10/7
1 3/7
3) 9/4
2¼
4)150/100
1½
5) 19/5
3 4 /5
Change the following to improper fractions:
5/4
1) 1 ¼
4/3
2) 1 ⅓
11/5
3) 2⅟5
59/7
4)8 3/7
31/10
5) 3 1/10
20
Find the given fractions of the numbers:
1) 3/8 of £24
2)¾ of £36
3)5/8 of 480cm
4)7/10 of 30g
5)5/9 of £108
6)5/8 of 64p
7)2/3 of 120cm
8)8/9 of 72litres
9)2/5 of 30p
10)2/3 of 30kg
21
Find the given fractions of the numbers:
1) 3/8 of £24
£9
2)¾ of £36
£27
3)5/8 of 480cm
300cm
4)7/10 of 30g
21g
5)5/9 of £108
£60
6)5/8 of 64p
40p
7)2/3 of 120cm
80cm
8)8/9 of 72litres
64litres
9)2/5 of 30p
12p
10)2/3 of 30kg
20kg
22
1) 1/5 + 2/5
2) 1/6 + 4/6
3) 9/10 – 3/10
4) 12/15 – 5/15
5) ¼+ ½
6) 3/8 + ½
7) 5/8 – ½
8) 2/3 – 1/6
9) 1/10 – 1/20
10)7/8 – 1/2
23
1) 1/5 + 2/5
2) 1/6 + 4/6
3) 9/10 – 3/10
4) 12/15 – 5/15
5) ¼+ ½
6) 3/8 + ½
7) 5/8 – ½
8) 2/3 – 1/6
9) 1/10 – 1/20
10)7/8 – 1/2
3/5
5/6
3/5
7/15
¾
7/8
1/8
½
1/20
3/8
24
Change these fractions to decimals and
percentages
1) ¼
2) ½
3) 1/3
4) 1/100
5) 1/10
6) 2/10
7) 9/10
8) 27/100
9) 11/20
10)2/25
25
Change these fractions to decimals and
percentages
1) ¼
0.25, 25%
2) ½
0.5, 50%
3) 1/3
0.333333....., 33.3333...%
4) 1/100
0.01, 1%
5) 1/10
0.1, 10%
6) 2/10
0.2, 20%
7) 9/10
0.9, 90%
8) 27/100
0.27, 27%
9) 11/20
0.55, 55%
10)2/25
0.08, 8%
26
Write these ratios in the
simplest form:
1) 8:12
2)5:25
3)9:15
4)12:30
5)21:35
6)24:32
7)36:54
8)44:77
9)36:84
10)65:39
27
Write these ratios in the
simplest form:
1) 8:12
2:3
2)5:25
1:5
3)9:15
3:5
4)12:30
2:5
5)21:35
3:5
6)24:32
3:4
7)36:54
2:3
8)44:77
4:7
9)36:84
3:7
10)66:39
22:13
28
Divide the numbers into the ratios
1) £18 into 1:2
2) £27 into 2:7
3) £35 into 2:3
4) £42 into 3:4
5) £100 into 3:7
29
Divide the numbers into the ratios
1) £18 into 1:2
£6 and £12
2) £27 into 2:7
£6 and £21
3) £35 into 2:3
£14 and £21
4) £42 into 3:4
£18 and £24
5) £100 into 3:7
£30 and £70
30
1) 20% of £50
2) 10% of £90
3) 50% of £45
4) 90% of £100
5) 1% of £300
6) 5% of $100
7) 60% 0f 60
8) 30% of $40
9) 40% OFF £30
10) 10% OFF $40
31
1) 20% of £50
2) 10% of £90
3) 50% of £45
4) 90% of £100
5) 1% of £300
6) 5% of $100
7) 60% 0f 60
8) 30% of $40
9) 40% OFF £30
10) 10% OFF $40
£10
£9
£27.50
£90
£3
$5
36
$12
£18
$36
32
Use a calculator to work out:
1) 24% of £32
2) 97% of 4000
3) 35% of 400m
4) 37% of £9.65
5) 8% of £11.64
6) 11% of 710km
7) 6% of £406
8) 18% of 28km
9) 19% of £1120
10) 12% of £24.52
33
Use a calculator to work out:
1) 24% of £32
£7.68
2) 97% of 4000 3880
3) 35% of 400m 140m
4) 37% of £9.65 £3.57
5) 8% of £11.64 £0.93
6) 11% of 710km 78.1km
7) 6% of £406
£24.36
8) 18% of 28km 5.04km
9) 19% of £1120 £212.80
10) 12% of £24.52 £2.94
34
Pg15 Questions
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
96 ÷ 4 – 4
9 + 26 ÷ 13
1x2+3
4 x 11 – 28 ÷ 7
13 x 11 – 4 x 8
30 – 9 x 2 + 40
(20-12) x (17 – 9)
1001 + (57 x 3)
(16 – 7) x 6
(2 x 5 x 3) ÷ (11-5)
35
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
96 ÷ 4 – 4
9 + 26 ÷ 13
1x2+3
4 x 11 – 28 ÷ 7
13 x 11 – 4 x 8
30 – 9 x 2 + 40
(20-12) x (17 – 9)
1001 + (57 x 3)
(16 – 7) x 6
(2 x 5 x 3) ÷ (11-5)
10
11
5
40
111
52
64
1172
54
5
36
Write all the factors of:
1) 12
2) 24
3) 36
4) 15
5) 18
Write the first 5 multiples of:
1) 4
2) 7
3) 9
4) 12
5) 15
37
Write all the factors of:
1) 12
1,2,3,4,6,12
2) 24
1,2,3,4,6,8,12,24
3) 36
1,2,3,4,6,9,12,18,36
4) 15
1,3,5,15
5) 18
1,2,3,6,9,18
Write the first 5 multiples of:
1) 4
4,8,12,16,20
2) 7
7,14,21,28,35
3) 9
9,18,27,36,45
4) 12
12,24,36,48,60
5) 15
15,30,45,60,75
38
Choose the numbers that fall into the group written
above the table. Unravel them to find the name of a
county cricket team.
1: Prime Numbers
1 15 2 37
T L E S
21
D
5
S
29
X
2: Cube Numbers
24 27 6
1
A E S S
125
R
8
Y
18 150 64 216 36
S X R U T
81
H
53
E
39
C
27
O
3: Triangular Numbers
3 9 10 1 16 18 25 15 21 12 6
D L H R L S X U M E A
4: Powers of 2
6
1
20 100 8
12 64 27 30 62 256
P
E
L
X
N
E
K
A
S
H
T 39
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
6+-4
-3 + - 6
-4 – 1
8 – 13
-2 + 4
-3 - - 2
7 - + 10
7+-9
-6--6
-8 + - 2
40
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
6+-4
-3 + - 6
-4 – 1
8 – 13
-2 + 4
-3 - - 2
7 - + 10
7+-9
-6--6
-8 + - 2
2
-9
-5
-5
2
-1
-3
-2
0
-10
41
Complete the table
×
-4
-3
-2
-1
0
1
2
3
4
-4
-3
-2
-1
4
0
0
0
0
0
0
1
-4
-3
-2
-1
0
2
-8
-6
-2
0
3
-9
-6
-3
0
4
-16
-8
-4
0
-6
9
42
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
4 x 1 = _4_
4 x 2 = ___
4 x 3 = ___
4 x 4 = ___
Positive × Positive =
_________
4÷ 4=1
8 ÷ 4 = ___
12 ÷ 4 = ___
16 ÷ 4 = ___
Positive ÷ Positive =
___________
11.
12.
13.
14.
15.
– 4 x 1 = ___
– 4 x 2 = ___
– 4 x 3 = ___
– 4 x 4 = ___
Negative x Positive =
_________
16. – 4 ÷ – 4 = 1
17. – 8 ÷ – 4 = ___
18. – 12 ÷ – 4 = ___
19. – 16 ÷ – 4 = ___
20. Negative ÷ Negative =
___________
43
1) Convert 12.5cm to inches.
2) The longest nose on a living person is 8.8cm. Convert this
measurement to inches.
3) The largest bubble gum bubble blown has a diameter of
20.3 inches. Convert this measurement to centimetres.
4) Convert 51cm into feet.
5) The longest snake ever is 7.3m. Convert to feet. (Hint:
convert 7.3m to centimetres first, then into feet)
6) Convert 6.5 feet into (i) cm (ii) m.
7) Convert the following into litres: 4 pints and 3 gallons
8) Convert the following into pints: 855 ml and 7 l
9) Convert the following into kilograms:4.4 pounds & 1 stone
10) Convert the following into kilometres:9 miles & 16.5 miles
11) Extension question
I run a 10km race in 56 minutes.
What is my average speed for the race in:
a) kilometres per minute b) miles per minute
c) miles per hour
44
1)
2)
3)
4)
5)
6)
7)
12.5cm / 2.5 = 5 inches
8.8cm / 2.5 = 3.52 = 3.5 inches (1 dp)
20.3 inches x 2.5 = 50.75 = 50.8cm (1 dp)
51cm / 30 = 1.7 feet
7.3m = 730cm. 730 / 30 = 24.33333…. = 24.3 feet (1 dp)
(i) 6.5 feet x 30 = 195cm
(ii)195 / 100 = 1.95m
4 pints / 1.75 = 2.285714…. = 2.3 litres (1 dp) b) 3 gallons x 4.5 = 13.5
litres
8) 855ml / 570 = 1.5 pints
b) 7l x 1.75 = 12.25 pints
9) 4.4 pounds / 2.2 = 2 kg
b) 1 stone = 14 pounds. 14 / 2.2 =
6.36363636… = 6.4 kg (1 dp)
10) 9miles x 1.6 = 14.4 kmb) 16.5 miles x 1.6 = 26.4 km
11) a) 10km / 56 minutes = 0.1785714… = 0.2 km per minute
b) 10 km / 1.6 = 6.25 miles. 6.25 miles / 56 minutes = 0.11160714… = 0.1
miles per minute
c) 60 mins in 1 hour. 0.11160714… x 60 = 6.69642857…. = 6.7 miles per
hour
45
46
6
25
11
40
2
6
5
15
25
11
7
18
27
1
2
6
60
8
9
7
2
22
18
4
17
25
47
Copy and complete the sequences:
1) 1,3,5,?,9,?
2) 2,4,?,8,10,?
3) 3,?,9?,15,18,?
4) 33,30,?,24,?
5) 66,?,?,33,?,11
6) 2?,8,?,14,17,?
7) 8,?,18,?,28,?
Work out the next two terms and the term to term rule:
1) 4,8,12,16
2) 27,24,21,18
3) 100,200,400,800
4) 1,10,100,1000
5) 0,250,500,750
6) 812,712,612,512
7) 318,338,358,378
48
Copy and complete the sequences:
7,11
1) 1,3,5,?,9,?
6,12
2) 2,4,?,8,10,?
6,12,21
3) 3,?,9?,15,18,?
27,21
4) 33,30,?,24,?
55,44,22
5) 66,?,?,33,?,11
5,11,20
6) 2?,8,?,14,17,?
13,23,33
7) 8,?,18,?,28,?
Work out the next two terms and the term to term rule:
20,24 +4
1) 4,8,12,16
15,12 -3
2) 27,24,21,18
1600,3200 x2
3) 100,200,400,800
10000,100000, x10
4) 1,10,100,1000
1000,1250 +250
5) 0,250,500,750
412,312 -100
6) 812,712,612,512
398,418 +20
7) 318,338,358,378
49
50
51
52
53
2x
10x
3x + 1
5x+5
8x+3
x+2y
2x+2y
18x+5y+4
4x
10x
x+4
3x+1
4x
13x
2x+2
4x+7
9x+5
11x+7
5x+y
2x+9y
5x+6y+2
x+y+8
2x+3y+3
4x+2y
10x+y
5x+8y+7
54
3x+5y+5
55
B = 12
B=7
B = 5.5
s=4
s=7
s=6
d=220
F=30
F=48
F=6.5
m=6
56
57
37.6
50.2
8
20
7.5
1.22
1.25
0.83
58
59
(x-11)÷5
2(x+7)
(3x+5) ÷4
3(10-x)
x÷3 + 5
x=70
x=65
x=40
x=64
x=6
x=40
x=30
x=36
x=67
x=5
x=12
x=100
60
61
x+7
x+y
n-5
p-q
k-2
t+2
62
Graphs of Algebraic Equations
Complete each table or
equation, plot the line on the
graph and label it, then
complete the missing words
9
x = -4
X
-4
y
-6
-4
-4
-4
-5
-3
0
3
6
These lines are v_________ and
p_________
6
They pass through the x-axis at
_____________________
Linear Graphing
x=5
y
x
5
y
-6
-3
0
3
8
7
x
y = -8
-3
-2
-1
0
1
x
-6
-3
0
3
6
y
4
4
4
4
4
Y
6
5
y = __
4
3
2
-8
-7 -6 -5
1
0
-4 -3 -2 -1 0
-1
-2
-3
-4
These lines are h____________ and
p____________ They pass through the yaxis at _________________
1
2
3
4
5
6
7
8
x
y=x+2
x
-6
y
-4
x
-6
y
-9
-3
0
3
6
3
6
2
-3
0
-5
-6
y = x - __
-7
Adding a value to x moves the graph
_____________ Subtracting a value
from x moves it ______________
-8
-9
0
63
Graphs of Algebraic Equations
Complete each table, then plot the points on the
graph, complete the line and label it
y
y = 3x + 1
x
9
6
y = 2x - 1
5
x
4
-7 -6 -5
-2
-3
-4
0
1
2
-2
-1
0
1
2
1
2
3
4
-1
0
1
2
y
3
2
1
0
-4 -3 -2 -1 0
-1
-1
y
8
7
-8
-2
y=5–x
1
2
3
4
5
6
7
8
x
x
0
y
y = ½x - 3
-5
-6
x
-7
y
-2
-8
-9
64
Work out the perimeter of:
65
Work out the perimeter of:
38cm
46cm
38cm
42cm
36cm
45cm
66
67
117m2
100m2
27cm2
72cm2
22cm2
68
69
Obtuse
158o
356o
Reflex
Obtuse
Obtuse
Right
Angle
115o
21170o
Calculate the angles marked with letters
71
Calculate the angles marked with letters
339o
85o
115o
115o
169o
47o
225o
65o
50o
72o
46o
26o
72
73
Identify two pairs of corresponding angles and two
pairs of alternate angles in each diagram:
Find the missing angles:
74
2x
3x
4x
1: Find x and y
N
y
Q
2: Find y:
P
92°
Not drawn accurately
145°
74°
S
y
R
Sum of angles in a polygon = (number of sides – 2) x 180
75
Copy and complete:
76
Copy and complete:
two
two
no
no
three
three
90
four
two
four
90
two
equal
four
parallel
four
two
two
equal
four
four
one
one
equal
four
four
two
two
equal
perpendicular
77
78
79
A
B
C
E
D
80
81
90o A/C
(1,5)
180o
(1.5,3)
180o
(3.5,4)
90o A/C
(3,3)
82
83
2
2
1
4
1
6
84
85
a)
b)
c)
d)
e)
f)
g)
h)
2 right and 3 up
6 right
2 left and 3 down
6 left
4 right and 2 up
2 left and 7 up
4 left and 2 down
2 right and 7 down
86
87
8
6
12
88
89
90
91
15cm3
11cm3
13cm3
10
2
20
13cm3
16
3
48
8
3
24
20
2
40
92
1. The number FIVE as written using
2.
block capitals contains exactly 10
strokes or segments of a straight line.
Find a number which when written out
in words (using no tricks) contains as
many strokes as the number says.
There are two clocks. One of them gains
6 seconds in every hour, while the other
loses 9 seconds in every hour. If they are
both set to show the same time, and
then set going, how long will it be before
they are exactly 1 hour different?
3. How many days is it from Wednesday 4. Find four consecutive odd numbers
the 1st August to the first Saturday in
which add up to to a total of 80.
September?
5. What is the opposite of "NOT OUT"? 6. When one particular number, written in
figures, is turned upside down it
increases in value by 21. Which number
is that?
7. A car has travelled 24,000 km and, in 8. A man bought 50 metres of rope in a
that distance, has worn out 6 tyres.
shop. He did not know it, but the metreEach tyre travelled the same distance.
rule used to measure the rope was 1cm
How far did each separate tyre travel?
short. What length of rope did he
actually get?
9. Find two whole numbers which, when 10. If 6 cats can catch 6 rats in 6 minutes,
multiplied together give an answer of
how many cats are needed to catch 10
93
41.
rats in 10 minutes?
Answers:
1. TWENTY NINE
2. 240 hours
3. 32 inclusive of both dates.
4. 17 + 19 + 21 + 23 = 80
5. OUT!
6. 68 (changes to 89)
7. 4-wheeler 16,000 km each. 3-wheeler
12,000 km each.
8. 49.5 metres
9. 1 x 41
10.6 cats.
94
On this diagram you may start at any square and
move up or down or across (but NOT diagonally) into
the next square. No square may be used twice. The
digits in each square are written down in the order
they are used.
What is the largest number that can be made?
95
How many acute angles can be found in this drawing?
The French Flag (known as the tricolour) is coloured Red , White ,and Blue
in the way shown. Using the same three colours, how many different flags
would it be possible to make?
96
Draw out a 3 by 3 grid like that
shown. Place the numbers 2 2 2 3 3 3 4 4 4 in it so that, when
any line of three numbers is
added up in any direction
(including diagonally), the total
is always 9
Arrange the numbers 1 to 9,
using each one only once,
placing only one number in
each cell so that the totals in
both directions ( up and down
and across) are the same. How
may different ways are there of
97
doing this?
The diagram shows an equilateral triangle
and an isosceles triangle.
Work out the size of the angle marked x.
98
Answer:
99