Here are 30 maths questions to support your Year 7 learners!
Author
Mhairi
Published
March 2025
Key takeaways
There are a lot of new maths concepts coming your learner’s way this year as they make a start on the KS3 curriculum. There are also a lot of existing skills they’ll need to keep ticking over this year too!
It can be a good idea for students to get some practice to solidify these new skills and consolidate the old ones. With these maths questions Year 7 students can test their knowledge across the curriculum and see where they stand in each area!
We’ve created 30 Year 7 maths questions and split them into the six categories they’ll cover throughout the KS3 curriculum. These areas are:
However you decide to tackle these questions, they’re a great way to revise. Try out our maths questions for Year 7 students below and see how you get on!
1. What is the value of 73?
Answer: 343
2. Arrange the following integers in ascending order: −3, 7, −8, 5, −1, 0, −5
Answer: -8, -5, -3, -1, 0, 5, 7
3. 34 +25 = ?
Answer: 34 +25
= 1520 +820
= 2320
= 1320
4. 144 = ?
Answer: 12
5. In Manchester, the temperature at night was -4°C. By lunchtime, it had risen by 7°C but dropped by 5°C by 11 pm. What was the temperature at 11 pm?
Answer: -2°C
6. Solve x in the equation 3x+5=20
Answer: 3x+5=20
3x=20-5
3x=15
x = 5
7. Simplify the expression: 4a+3a-2a
Answer: 5a
8. Simplify the expression: 5x + 3y-2x +7-y+4
Answer: = 3x + 2y + 11
9. If a=10 and b=-6 find the value of: 2a+3b
Answer: 2(10)+3(-6)
20 -18
= 2
10. Expand the bracket: 5(2a-1)
Answer: = 10a – 5
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11. To bake a batch of peanut butter cookies I need 1 egg, 200g of peanut butter, and 175g of sugar.
How many batches of cookies can I make if I have 12 eggs, 1kg of peanut butter and 1kg of sugar?
Answer: 5 batches
12. A girl has the same number of brothers as sisters. Each of her brothers has only half as many brothers as sisters.
How many sisters and brothers are there?
Answer: 4 sisters and 3 brothers
13. The ratio of boys to girls in the playground is 7:9. If there are 42 boys, how many girls are there?
Answer: 54 girls
14. A recipe requires 2 cups of sugar for every 5 cups of flour. If we increase the batch size and use 15 cups of flour, how many cups of sugar do we need?
Answer: 6 cups of sugar
15. If 4 pens cost £6, how much would 10 pens cost?
Answer: £15
16. What is the perimeter of this shape?
Answer:
= 4cm + 4cm + 10cm + 4cm + 14cm + 8cm
= 44cm
17. The area of this triangle is 40cm 2. What is the height (h) of the triangle?
Answer: h = 8cm
18. Rotate the shape 90° clockwise using (1, 2) as your centre of rotation.
Select the correct answer below:
Answer: Green
19. Work out the size of the missing angle marked x below.
Answer: 38°
20. Reflect the shape across the x-axis.
Select the correct answer below:
Answer: Green
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21. A six-sided die is rolled. What is the probability of a five being rolled? Give your answer as a fraction.
Answer: 13
22. Some children are conducting a probability experiment using a six-sided die. They roll the die and record the number shown each time. Their results are below.
1, 4, 3, 3, 1, 1, 5, 4, 2, 1
What is the experimental probability of rolling an even number?
Answer: 310
23. Amy works in a clothing shop. She noticed that the last 5 out of 15 T-shirts sold were blue. Using this information, how many of the next 12 T-shirts sold could she expect to be blue?
Answer: 4
24. When a two-sided coin is flipped, what is the probability that the coin will land heads up? Give your answer as a fraction.
Answer: 12
25. A Year 7 class conduct a probability experiment by flipping a two-sided coin. Their results are as follows:
tails, head, tails, heads, tails, tails, tails, heads, tails, heads
What is the experimental probability of the coin landing on tails?
Answer: 610 (or 35 when simplified)
26. Calculate the mean of the following set of numbers: 4, 8, 6, 5, 7
Answer: 6
27. Ten students sat a test and their scores were as below.
12, 15, 14, 10, 18, 17, 13, 16, 14, 19
What is the median score?
Answer: 14.5
28. The following numbers show the number of books read by students over a month in a Year 7 class.
2, 3, 4, 4, 5, 5, 5, 6, 7
Find the mode of the data.
Answer: 5
29. A class conducted a survey to record their favourite type of fruit. The graph of the results is below.
Use the information in the graph to determine if the following statements are true or false:
a) The total number of students surveyed was 35.
Answers: a) False b) False c) True
30. A geography class have been monitoring the temperature using a thermometer in a weather station they created. They have been gathering data over six months and have data which is in the table below:
|
Lowest temperature |
Highest temperature |
|
|
January |
2°C |
8°C |
|
February |
1°C |
6°C |
|
March |
5°C |
11°C |
|
April |
7°C |
16°C |
|
May |
10°C |
17°C |
|
June |
10°C |
22°C |
Answers:
a) A line graph
b) As a guide, the graph should look something like this:
How did you do with these Year 7 maths questions? For more help and guidance on the Year 7 maths curriculum be sure to check out our complete guide to the Year 7 maths curriculum and our Year 7 maths help page too!
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