Summer Assessment
Year 8
Mathematics
Foundation: No 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 The diagram shows part of a shape and its line of symmetry.
Complete the shape.
1 mark
2 In a shop, for every 2 apples there are 3 bananas.
There are 10 apples in the shop.
How many bananas are there in the shop?
2 marks
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3 There are 8 pens in a box.
• 3 pens are blue.
• 4 pens are black.
• 1 pen is red.
Dexter takes a pen from the box at random.
On the probability scale, mark with a cross (×) the probability that
Dexter takes a black pen.
0 1 1
2
1 mark
On the probability scale, mark with a cross (×) the probability that
Dexter takes a green pen.
0 1 1
2
1 mark
On the probability scale, mark with a cross (×) the probability that
Dexter takes a blue, black or red pen.
0 1 1
2
1 mark
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4 Aisha asked students in her class how they travel to school.
The bar chart shows some of her results.
12
10
8
frequency
6
4
2
0
walk bike car bus
transport
4 students travel by car.
11 students travel by bus.
Complete Aisha’s bar chart.
2 marks
How many more students walk than travel by car?
1 mark
Which method of travel is the mode?
1 mark
Two students were absent on the day that Aisha asked the class.
How many students are in Aisha’s class?
2 marks
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5 Work out the values of the expressions.
62
1 mark
23
1 mark
√81 + √25
2 marks
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6 Filip has measured and labelled the angles in this diagram.
230°
120°
Explain why Filip must be wrong.
1 mark
7 Jack and Annie share £150 in the ratio 4 : 1
How much money do they each get?
Jack £
Annie £
2 marks
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8 Expand and simplify the expression.
6(a + 5) – 2(a – 3)
2 marks
9 Solve the equations.
10a = 360
a=
1 mark
b+ 3 =1
5
b=
1 mark
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10 Here are the test marks of 6 boys and 4 girls.
Boys 5 3 10 2 7 3
Girls 2 5 9 8
Show that the girls have a higher mean test mark than the boys.
3 marks
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11 The table shows a pair of parallel lines.
109°
Write the size of the angle marked x.
°
1 mark
Give a reason for your answer.
1 mark
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12 Complete the table.
Fraction Decimal Percentage
4
10
0.4
0.51 51%
3
100
3 marks
13 Work out the area of the circle.
State the units with your answer.
20 cm
3 marks
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14 Use <, > or = to make the statement correct.
Show working to support your choice.
1 1 1 1
+ ×
3 4 3 4
2 marks
15 Simplify the expressions.
y3 × y5
1 mark
w12 ÷ w5
1 mark
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16 Reflect rectangle A in the line x = 1
y
6
5
4
3
A
2
1
x
–6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6
–1
–2
–3
–4
–5
–6
2 marks
END OF TEST
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