Year 7 Mathematics Examination
Full Name:
21st June 2023
1 hour and 30 minutes
__________________________________________________________________
INSTRUCTIONS
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Answer all questions.
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Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
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Write your name at the top of the page.
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Write your answer to each question in the space provided.
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In all calculations, show clearly how you work out your answer.
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Do not use an erasable pen or correction fluid.
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You may use geometrical instruments and tracing paper.
INFORMATION
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The total mark for this paper is 88.
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You must answer the questions in the space provided. Do not write outside the box
around each page or on blank pages.
Do all the rough work in this book. Cross through any work that you do not want to
be marked.
In all calculations, show clearly how you work out your answer.
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1
1. Work out the following:
a) 32 x 100 = _________________ [1]
b) 270 ÷ 10 = _________________ [1]
c) 15 ÷ 6 = __________________ [1]
d) 0.4 x 0.2 = _________________ [1]
2
3 (b) Work out the nth term of the pattern
Answer______________ [2]
4. Simplify the expression
a) 3x + 4x − 12x
________________[1]
b) 6m + 2n − 7 − 4m + 3n − 3
c) -4q x 3
________________[2]
_______________[1]
3
5. Solve the equation
a) 2x + 1 = −9
x=____________________[2]
b) p + 3 = 3p − 7
x=___________________[2]
6. Calculate 3 – (5 – 4) + 2 × 4
____________________[2]
7. Work out 15% of $700
___________________[2]
8. Write 0.225 as a fraction. Give your answer in its simplest form.
___________________[2]
9. How many sides does a hexagon have?
__________________[1]
4
10. A formula used in science is v=u+at
Work out the value of v when u= 7, a = 5 and t = 9
_______________________[2]
11. Match each circle on the left with one box on the right.
One has been done for you. [3]
5
12. On Wednesday, 30 students had a spelling test.
Information about the number of words they got wrong is shown in the table.
6
13. Work out
a) 5 ( x - 9 ) =
b) -10 (2y + 7 ) =
___________________[1]
__________________[1]
14.
7
16 (c)
Find the distance of coordinates A and B
__________________[1]
8
17. Daniel weighs himself.
____________________[1]
18. Write one of these symbols in each box to make correct statements. [4 marks]
0.654 _________ 0.658
9
19. Look at the shape
___________________[1]
20.
10
21. a) Work out the highest common factor (HCF) of 15 and 45.
Answer ___________________________[1]
22. b) Work out the lowest common multiple (LCM) of 12 and 60.
Answer ___________________________[1]
23. Calculate
11
24.
25. Look at the diagram.
12
26. Find angle c.
27.
13
28. Here is a shape on a square grid
a) Rotate the shape 90 degrees clockwise around the point P. [2]
b) Reflect the image of the rectangle STUV over the y-axis and named it C. [2]
14
29. Write the ratio 42: 24 in its simplest form.
30.
31. Work out the fraction and give your answer in the simplest form.
______________________[2]
32. Complete the following.
a) 0.094km to m
_________________m [1]
b) 1225 g to kg
________________ kg [1]
c) 9.5cm to m
_________________ m [1]
15
33.
34.
16
35. Round each number
a) To one decimal palace:
i) 5.572 =
Answer______________[1]
ii ) 68.9466 =
Answer______________[1]
Iii ) 27.45 =
Answer_______________[1]
36. Look at the function machine and solve the questions .
Answer_______________________[1]
b) If the output is 48, what is the input?
Answer________________________[1]
37. At the station, the probability of the train arriving early is 0.7.
What is the probability of the train arriving late?
Answer________________________[1]
17
38. 20 students go on a water sport holiday.
Each student chooses one activity.
The student choose from Diving, Swimming, Paddleboarding and Kayaking.
Their choices are to be showm in a pie chart.
a) Complete this table:
Activity
Number of
students
Angle of
sector
Diving
5
90°
Swimming
4
Paddleboarding
Kayaking
9
162°
[4]
b) Draw a pie chart to show the results
[3]
18