Summer Assessment
Year 8
Mathematics
Core: Calculator allowed
Time allowed: 45 minutes
First name
Middle name
Last name
Date of birth Day Month Year
Teacher
This assessment has been designed by White Rose Maths.
For more information, please visit www.whiterosemaths.com
1 Circle the outlier on the graph.
28
24
20
volume (cm3)
16
12
0 x
1 2 3 4 5 6
time (minutes)
1 mark
2 What is the angle sum of a hexagon?
°
2 marks
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3 A film is 105 minutes long.
The film starts at 5:40 pm.
What time does the film finish?
2 marks
4 Here is part of a restaurant menu.
Starters Mains
Soup (S) Chicken (C)
Mushrooms (M) Beef (B)
Prawns (P) Lasagne (L)
Fish (F)
Brett chooses one starter and one main.
List all the possible combinations of starter and main.
The list has been started for you.
(S, C)
2 marks
One combination of starter and main is chosen at random.
What is the probability that this combination is soup and lasagne?
1 mark
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5 A box contains white, milk and dark chocolates in the ratio 5 : 8 : 7
What fraction of the chocolates are milk chocolates?
Give your answer in its simplest form.
2 marks
6 Match each card to the correct description.
1 – 5x expression
C = πd equation
3p – 8 = 1 identity
2(x + 3) ≡ 2x + 6 formula
2 marks
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7 You can use this graph to convert between miles and kilometres.
y
50
45
40
35
30
kilometres
25
20
15
10
0 x
5 10 15 20 25 30 35
miles
Use the graph to convert 20 miles to kilometres.
km
1 mark
Convert 400 miles to kilometres.
km
1 mark
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8 Find the product of 18 and 25
Give your answer as a mixed number.
2 marks
9 Complete the coordinates for the points on the line y = 4x + 1
(1, 5) (2, 9) (3, ) (4, )
1 mark
A sequence is formed by the y-values.
Write the term-to-term rule for this sequence.
1 mark
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10 Nijah wants to find out how much time people spend on social
media.
She designs this questionnaire.
How much time do you spend
on social media?
a little bit quite a bit a lot
Write two things that are wrong with the question.
1.
2.
2 marks
11 The population of a town is 64 000 people.
Next year, the population is expected to increase by 4%.
Work out the expected population next year.
2 marks
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12 Reflect the triangle in the line y = –x.
5
4
3
2
1
x
–5 –4 –3 –2 –1 0 1 2 3 4 5
–1
–2
–3
–4
–5 y = –x
2 marks
13 Solve the equation.
5(3x + 7) = 40
x=
2 marks
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14 Here is some information about the height of ten people in a
chess club.
Mean Median Mode Range
1.63 m 1.57 m 1.65 m 48 cm
The tallest person is 1.72 m tall.
How tall is the shortest person?
m
2 marks
Here is some information about the heights of ten people in a
book club.
Mean Median Mode Range
1.67 m 1.6 m 1.66 m 60 cm
Make two comparisons between the heights of the ten people in
the chess club and the ten people in the book club.
1.
2.
2 marks
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15 The diagram shows a sketch of y = 2x.
On the same axes, sketch and label the graph of y = 2x + 4
1 mark
On the same axes, sketch and label the graph of y = 3x.
1 mark
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16
512 = 244 140 625
Use this fact to work out the division.
244 140 625
25
Give your answer as a power of 5
1 mark
17
p = 5.3 × 103 q = 2.5 × 104
Work out pq.
Give your answer in standard form.
2 marks
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18 . h
95°
98°
Work out the size of the angle marked h.
Give a reason to support your answer.
h=
2 marks
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19 A shape is made up of a trapezium and a semicircle.
Work out the area of the shape.
30 cm
40 cm
50 cm
cm2
3 marks
END OF TEST
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