Summer Assessment
Year 7
Mathematics
Core: Calculator allowed
Time allowed: 45 minutes
First name
Middle name
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Date of birth Day Month Year
Teacher
These assessments have been designed by White Rose Maths.
For more information, please visit www.whiterosemaths.com
1 Complete the statements using <, > or =
1.5 million 160,000
-12 -2
4
4 hundredths
10 2 marks
Page 2 of 16
2 60 people were asked what their favourite sport is.
The pie chart shows the results.
Netball
Football
Hockey
How many people like netball?
1 mark
40 people said their favourite sport is football.
How many people like hockey?
1 mark
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3 Here is a Venn diagram.
A B
4 1
6
3
24 9
8
30
The numbers in set A are all factors of
The numbers in set B are all factors of
2 marks
Write down the numbers that are in A B.
1 mark
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4 Sophie measures and labels the angles in this triangle.
Diagram not
62° drawn to scale
80° 40°
Explain why she must have measured incorrectly.
1 mark
Find the value of x.
50° 2x – 4
x=
2 marks
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5 Sara is having a barbecue.
She is going to be cooking burgers.
Sara needs one bread roll for every burger she cooks.
Burgers
10 pack
£2.50
Bread rolls
6 pack
80p
Sara wants to buy exactly the same number of bread rolls and burgers.
What is the smallest number of packs of each Sara needs to buy?
Packs of bread rolls
Packs of burgers
2 marks
How much money does Sara spend?
£
1 mark
Page 6 of 16
6 Find the mean of the numbers written on the cards.
-3 -3 2 0
2 marks
7
2x + y = 12
Work out the values of these expressions.
6x + 3y =
2x + y − 5 =
2 marks
Page 7 of 16
8 Here are some cards with angles written on them.
45° 165° 5° 90° 102° 31° 53°
Moira picks one of the cards at random.
What is the probability that the angle on the card is greater than 100°?
1 mark
Tick the cards that show acute angles.
45° 165° 5° 90° 102° 31° 53°
1 mark
Tick the cards that show prime numbers.
45° 165° 5° 90° 102° 31° 53°
1 mark
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9 A B
103°
Diagram not
drawn accurately
D C E
ABCD is a parallelogram.
DCE is a straight line.
Work out the size of angle BCE.
2 marks
10 Simplify 6x − x
Circle the correct answer.
6 6x2 5x 7x
1 mark
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11 Here is some information about 45 shapes.
• There are 18 triangles.
• 30 of the shapes are blue.
• 12 of the quadrilaterals are orange.
• There is an equal amount of blue triangles and blue quadrilaterals.
How many of the triangles are orange?
You may use the table below to help you.
Triangles Quadrilaterals Total
Blue
Orange
Total 45
2 marks
Robbie picks one of the shapes at random.
What is the probability the shape is a triangle?
1 mark
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12
x 54°
Work out the size of the angle labelled x.
2 marks
Page 11 of 16
13 X
Diagram not
drawn accurately
4 cm
110°
Z
Y 6 cm
XYZ is a triangle.
YZ = 6 cm.
XY = 4 cm.
Angle Y = 110°.
Make an accurate drawing of triangle XYZ.
3 marks
Page 12 of 16
14
x= 4,y= 2
5 3
Which is the larger fraction, x or y?
Explain how you know.
1 mark
Work out the value of x + y, giving your answer as a mixed number.
3 marks
Page 13 of 16
15 Put these numbers in order, starting with the smallest.
1 14
0.4 1.4% 0.025
4 100
2 marks
Write 0.075 correct to one significant figure.
1 mark
Page 14 of 16
Use the factors of the numbers to explain why
45 × 56 = 5 × 7 × 8 × 9
1 mark
Use this result to show that
45 × 56 = 63 × 40
1 mark
END OF TEST
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[BLANK PAGE]
Please do not write on this page.
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