Area and
perimeter
Angles
2
1
Triangles
Algebra
Statistics
4
5
7
Probability
6
Bearings
Graphs
Solids
3
8
9
Angles
Foundation
Higher
Lines AB and CD are parallel.
E
EF is perpendicular to AB.
B
D
Angle FAE = 47o
A
47o
Statements
F
C
1. Angle AFC is 47o
2. EF is perpendicular to CD
3. Angle AFE is 47o
Which statements are true?
Check
Back
Similar Question
Statements 1 & 2 are true
Statement 3 is false.
Angle AFE = 43o
Did you get it right?
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B
E
Lines AB and CD are parallel.
D
AF = AE.
Angle AFE = 70
o
A
Statements
1. Angle FAE is 40
o
70o
F
C
2. Angle EFD = 70o
3. Angle AFC is 40o
Which statements are true?
Check
Back
All 3 statements are true.
Did you get it right?
Home
Chords AD and CB intersect at
the centre of the circle, O.
Angle CDA = 35o
A
Statements
1. Angle BCD = 35o
o
2. Angle CBD = 55
3. Angle AOC = 70o
B
O
35o
D
C
Check
Which statements are true?
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Similar Question
All three statements are true.
Choose a new starter
Home
Chords AD and CB intersect
at point E.
Angle CDA = 40o
B
A
E
Statements
o
1. Angle DAB = 40
2. Angle ABC = 40o
3. Angle AEC = 80o
Which statements are true?
40o
D
C
Check
Back
Statement 1 is false because the lines AB
and CD are not parallel
Statement 2 is true (angles on same arc)
Statement 3 is false because E is not the
centre of the circle
Choose a new topic
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Area & Perimeter
Foundation
Higher
This large rectangle is made from 4 smaller
rectangles, each measuring 2cm by 4cm
Statements
1. The perimeter of a small rectangle is 12cm
2. The perimeter of the large rectangle is 48cm
3. The area of the large rectangle is 24cm2
Which statements are true?
Check
Back
Similar Question
Only statement 1 is true.
The large rectangle measures
8cm by 4cm so its perimeter is
24cm and its area is 32cm2
Well done if you got it right
Home
This shape is made from 6 rectangles, each
measuring 3cm by 5cm and a red rectangle
Statements
1. The perimeter of the red rectangle is 18cm
2. The area of the red rectangle is 14cm2
3. Less than 10% of the whole shape is red.
Which statements are true?
Check
Back
Statements 1 & 2 are true.
Statement 3 is not accurate.
Over 13% is red.
Home
Well done if you got it right
A
3cm
B
3cm
D
7cm
ABCD is a trapezium.
AB = AD = 3cm
DC = 7cm
BAD = ADC = 90o
C
Statements
1. The area of the trapezium is 15cm2
2. BC is 7 cm
3. The perimeter of the trapezium is 18cm
Which statements are true?
Check
Back
Similar Question
Statements 1 & 3 are true
Statement 2 is false.
You need to use Pythagoras’ Theorem
to find the length of BC.
Did you get it right?
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B
A
55o
E
C
ABCD is a rhombus
Diagonal AC = 12cm
Diagonal DB = 16cm
Angle BAC = 55o
D
Statements
1. Angle ABC = 70o
2. Perimeter of the rhombus = 40 cm
3. Area of rhombus = 96cm2
Which statements are true?
Check
Back
All 3 statements are true.
The diagonals of a rhombus bisect
each other at right angles so you can
use Pythagoras’ Theorem to calculate
the length of a side.
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Algebra
Foundation
Higher
Add two touching bricks to obtain the
expression in the brick above them.
100
?
13x
7x
6x
x
Statements
1. 7x + 6x = 13x
2. 6x + x = 7x
3. The value of x must be 5
Which statements are true?
Check
Back
Similar Question
All 3 statements are true
20x = 100
x=5
Home
Add two touching bricks to obtain the
expression in the brick above them.
60
4x + 2
3x + 7
?
x-5
5x + 3
Statements
1. (3x + 7) + (x – 5) = 4x + 2
2. (x – 5) + (5x + 3) = 6x + 2
3. The value of x must be 6
Which statements are true?
Check
Back
Statements 1 & 3 are true.
Statement 2 is not true because
(x – 5) + (5x + 3) = 6x - 2
Was it easy?
Home
This is a 12m by 10m rectangular garden. On two
sides is a path of x metres width. The remaining
two thirds of the garden is grass.
xm
10 m
xm
12 m
Statements
1. x < 10
2. x 2 - 22x + 40 = 0
3. The width of the path is 2 cm
Which statements are true?
Check
Back
Similar Question
Statements 1 & 2 are true.
Statement 3 is not true because
the width is 2 metres (not cm)
Did you get it right?
Home
This is a 12m by 10m rectangular garden. A path of width y
metres surrounds a lawn at the centre of the garden.
12 m
The area of the
path is twice
the area of the
lawn.
8m
ym
Statements
1. The area of the path is 64 cm2
2. The area of the path is 44y cm2
3. y < 2
Which statements are true?
ym
Check
Back
Only statement 1 is true.
The area of the path is
8y 2 – 80y + 192
so y = 2
Home
Triangles
Foundation
Higher
ABC is a right angled triangle
A
Statements
1. You can use Pythagoras’
Theorem to find AC
2. AC2 = 152 + 82
3. AC =289 m
15 m
C
8m
B
Check
Which statements are true?
Back
Similar Question
Statements 1 & 2 are true.
Statement 3 is false.
AC2 = 289
AC = √289 = 17 m
Home
A 13-foot ladder leans against a 12-foot wall so that
the top of the ladder just reaches the top of the wall.
A bottom of the ladder is x feet
from the base of the wall.
Statements
1. You can use Pythagoras’
Theorem to find x.
2. x2 = 122 + 132
3. The value of x is 5
Which statements are true?
12 feet
13 feet
x feet
Check
Back
Statements 1 & 3 are true.
Statement 2 is false.
The correct equation is 132 = 122 + x 2
Choose a new starter
Home
A 13-foot ladder leans against a 12-foot wall so that
the top of the ladder just reaches the top of the wall.
A ladder makes an angle of Θ with
the ground.
Statements
1. Tan Θ = 12/13
2. Tan Θ = 2.4
3. The value of Θ is 67.3o
to 1 decimal place
13 feet
12 feet
Θ
Check
Which statements are true?
Back
Similar Question
Only statement 2 is true.
Statement 1 is false because
Sin Θ = 12/13
Statement 3 is false because
o
Θ is 67.4 to 1 d.p.
Home
A wheel chair ramp rises by 75 cm. The angle of
the ramp is 12o. The length of the ramp is x
metres.
75cm
12o
xm
Statements
1. tan 12o = 75/x
2. 75cm = 7.5 m
3. x = 3.53 to 3 s.f.
Check
Which statements are true?
Back
Only statement 3 is true.
75 cm = 0.75 m
So tan 12o = 0.75/x
Home
Statistics
Foundation
Higher
This table shows the ages of children in a club.
Age in years
7
Frequency
2
8
9
10
11
3
4
7
5
Statements
1. The mode is 7 years
2.
3.
The median is 9 years
The mean is 45 ÷ 21
Which statements are true?
Check
Back
Similar Question
None are true
The mode is the most common age = 10 years
The median is the middle age in order (11th out of 21)
Median = 10 years.
Sum of the ages = 14 + 24 + 36 + 70 + 55
So the mean is 199 ÷ 21 = 9.48
Home
This table shows the ages of people in a village.
Age in years
0 < x ≤ 20
Frequency
3
20 < x ≤ 40
40 < x ≤ 60
60 < x ≤ 80
80 < x ≤ 100
9
4
6
3
Statements
1. The ages of 25 people are recorded
2. The modal class is 20 < x ≤ 40
3.
The best estimate for the median is 50
Which statements are true?
Check
Back
Statements 1 & 2 are true.
Statement 3 is not true.
The median value is the first of
the 4 values in the 40 < x ≤ 60 interval.
So 45 is a better estimate.
Home
This table shows the number of books read by a
class of pupils during a Charity Readathon
Number of books
5
6
7
8
9
Frequency
13
9
4
3
1
Statements
1. Altogether there were 30 pupils
2. Altogether, they read 35 books
3. Mean = 6 books
Which statements are true?
Check
Back
Similar Question
Statements 1 & 3 are true.
Statement 2 is not true.
The pupils read 180 books altogether
Try another
Home
This table shows the ages of people who live in a village.
Number of books
Age in years
0 < x ≤ 20
20 < x ≤ 40
40 < x ≤ 60
60 < x ≤ 70
70 < x ≤ 100
Frequency
Frequency
3
9
4
6
3
Statements
1. A good estimate for the mean is 45 years
2. The most densely populated class is 20 < x ≤ 40
3. On a histogram the relative frequency for the
interval 60 < x ≤ 70 would be 0.6
Which statements are true?
Check
Back
Statements 1 & 3 are true.
Statement 2 is not true.
20 < x ≤ 40 is the most populated
but not the most densely populated
(relative frequency is 0.45)
Home
Probability
Foundation
Higher
Each day the school
bus passes a set of
traffic lights.
The probability
the lights are
red is 0.35
The probability
the lights are
amber is 0.1
Statements
1. Probability that the lights are red or amber = 0.36
2. Probability that they are green = 0.55
3. Probability that they are not red = 0.75
Which statements are true?
Check
Back
Similar Question
Statements 1 is not true
( 0.35 + 0.1 = 0.45)
Statement 2 is true
prob(green) = 1 – 0.45
Statement 3 is not true.
prob (not red) = 1 – prob (red) = 0.65
Home
A ball is picked at random from each bag
Bag A
Bag B
Statements
1.The probability of picking a blue ball from bag A is 0.3
2.You are more likely to pick a blue from bag B than bag A
3.You are more likely to pick green from bag A than bag B
Check
Which statements are true?
Back
Statements 1 is true.
Statement 2 is not true
(probabilities are 0.3 and 0.25)
Statement 3 is not true.
(probabilities are 0.6 and 0.625)
Home
Each day the school bus passes two sets of traffic lights.
The
probability
that the
first lights
are red is
0.3
The
probability
that the
second lights
are red is
0.2
Statements
1.
2.
3.
The first set of lights are more likely to be green
than the second set.
The probability that both lights are red is 0.6
The probability that only one set is red is 0.38
Which statements are true?
Check
Back
Similar Question
Statements 1 & 2 are not true.
Prob (RR) = 0.2 x 0.3 = 0.06
Statement 3 is true.
prob (one red) = prob (GR) + prob (RG)
= (0.7 x 0.2) + (0.3 x 0.8)
= 0.14 + 0.24 = 0.38
Home
Two balls are picked at random – one ball from each bag
Bag A
Bag B
Statements
1. The probability of picking at least one yellow = 0.65
2. The probability that both are yellow = 0.1
3. If the ball from bag A is put into bag B before a ball
ball is taken from bag B then the probability that the
ball from bag B is yellow = 0.28
Which statements are true?
Check
Back
Statement 1 is not true.
Prob (one yellow) = p(yy’) + p(y’y)
= (0.4 x 0.75) + (0.6 x 0.25) = 0.45
Statements 2 & 3 are true.
Home
Solids
Foundation
Higher
This box has a 4 cm by 5 cm rectangular base
and a height of 3 cm
3cm
4cm
Statements
1.
2.
3.
5cm
The area of the top is 20 cm2
The area of the front face is 15 cm2
The total surface area is 47 cm2
Which statements are true?
Check
Back
Similar Question
Statements 1 & 2 are true
but statement 3 is not true because
total surface area is 94cm2
Home
Each of these boxes has a 4cm by 5 cm rectangular base
The green box has a height of 3cm
The blue box has a height of h cm
hcm
3cm
5cm
4cm
4cm
5cm
Statements
1.
2.
3.
Volume of the green box is 60 cm3
Volume of the blue box is 20h cm3
If the volume of the blue box is 76 cm3
then its height is 3.8 cm
Which statements are true?
Check
Back
All three statements are true.
Choose a new starter
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A
8cm
B
This is a right-angled
triangular prism
9cm
F
C
E
D
12cm
Statements
1. Area of cross section is 108 cm2
2. Volume = 864 cm3
3. Total surface area = 396 cm2
Which statements are true?
Check
Back
Similar Question
Only statement 3 is true
Statements 1& 2 is not true.
The area of the cross-section is
½ x 9 x 12 = 54 cm2
and
so the
Volume
is 432 cm3
Choose
a new
question
Home
This is a
rightangled
triangular
prism
A
12 m
B
8cm
F
C
E
D
9cm
Journeys
between two
points are made
along the
shortest paths
Statements
1. Journey A → F → E → D = 29cm
2. Journey A → F → D = 23cm
3. Journey A → B → E = 29cm
Which statements are true?
Check
Back
They are all true.
Choose a new question
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Graphs
Foundation
Higher
y
A
A = (4, 3)
x
B
Statements
1. B = (-2, -1)
2. The mid point of line AB = (1, 1)
3. AB = √52 units
Which statements are true?
Check
Back
Similar Question
All three statements are true.
Choose a new starter.
Home
y
R
P
P = (1, 3)
Q
x
T
S
Statements
1. PQ is parallel to TS
2. PQST is a rhombus
3. Angle RTS is a right angle
Which statements are true?
Check
Back
Statements 1 & 3 are true
Statement 2 is not true. The shape
is a parallelogram
Home
y
A
A = (-2, 3)
x
B
Statements
1. Gradient of AB is 1
2. Equation of line AB is y = x + 1
3. Length AB = 5√10 units
Which statements are true?
Check
Back
Similar Question
None of the statements are true.
The gradient of the line is -1
Hence, the equation of the line is
y = -x + 1 or x + y = 1
AB = √50 units = 5√2 units
Home
y
B
A
The equation of
line AB is
x
y = ½x + 2
C
Statements
1. A = (-2,0)
2. Equation of line BC is y = 8
3. Equation of line through C perpendicular
to AB is y = 14 - 2x
Which statements are true?
Check
Back
Statements 1 & 2 are not true
A = (-4, 0)
The equation of BC is x = 8
Statement 3 is true.
Home
Bearings
Foundation
Higher
North
lighthouse
North
Island
45o
Port
A positions of a
Port, a lighthouse
and an island are
shown on this map.
The Island is on a
bearing of 045o
from the Port.
Statements
1. The Island is East of the lighthouse.
2. The Island is North-East of the Port
3. The Port is South-East of the Island
Which statements are true?
Check
Back
Similar Question
Only statements 1 & 2 are true.
Statement 3 is false because the Port is
South-West of the Island
Home
North
North
lighthouse
16 km
Port
62o
34 km
A boat leaves the
Port and sails 16km
Island North, goes round a
lighthouse and sails
East to the Island.
The island is 34km
from the Port on a
bearing of 062o
Statements
1. The Island is 30km from the lighthouse
2. The bearing of the Island from the lighthouse is 090o
3. The bearing of the Port from the Island is 242o
Which statements are true?
Check
Back
All three statements are true.
Home
North
Buoy
30 km
Port
North A boat leaves the Port at
Noon, sails 30km North,
Harbour
80o
60o
goes round a Buoy and sails
to the Harbour on a
bearing of 080o.
The Harbour is on a
bearing of 060o from the
Port.
The average speed of the
boat is 20 km/hr
Statements
1.The bearing of the Buoy from the Harbour is 260o
2.The Harbour is 86.4 km from the Port (3sf)
3.The Boat arrives at the Harbour at 17:18
Which statements are true?
Check
Back
Similar Question
All three statements are true.
You need to use the Sine Rule
for this question.
Home
North
Reef
120o
North
30 km
20 km
Port
The Reef is 20km
North of the Port.
The wreck is 30 km
from the reef on a
bearing of 120o
Wreck
Statements
1. The Wreck is 26.5km from the Port (to 3sf)
2. The bearing of the Wreck from the Port is 079o to the
nearest degree
3. The area of sea within the triangle is 260 km2 (3sf)
Which statements are true?
Check
Back
All three statements are true.
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