Free Year 7 Maths Practice Test (10 Questions)

1. −7 − 5 =

−12 −2 2 12

Answer: Start at −7 and go down 5 more: −12.

2. (2 + 3)² =

10 11 13 25

Answer: Brackets first: 2 + 3 = 5, then 5² = 25.

3. ¾ + ⅔ =

⁵⁄₇ 1¼ 1⁵⁄₁₂ ⁶⁄₁₂

Answer: Use twelfths: ⁹⁄₁₂ + ⁸⁄₁₂ = ¹⁷⁄₁₂ = 1⁵⁄₁₂.

4. Simplify 3x + 4x − 2

5x 7x − 2 7x² − 2 12x − 2

Answer: Collect the x terms: 3x + 4x = 7x, so 7x − 2.

5. What is 20% of £45?

£4.50 £9 £20 £25

Answer: 10% is £4.50, so 20% is £9.

6. Solve x ÷ 3 = 6

x = 2 x = 3 x = 9 x = 18

Answer: Multiply both sides by 3: x = 18.

7. Two angles of a triangle are 50° and 60°. What is the third?

50° 70° 80° 110°

Answer: 180° − 50° − 60° = 70°.

8. What is the median of 3, 9, 4, 7, 5?

4 5 5.6 7

Answer: In order: 3, 4, 5, 7, 9. The middle value is 5.

9. Write 12 : 18 in its simplest form

2 : 3 3 : 2 4 : 6 6 : 9

Answer: Divide both parts by 6: 2 : 3.

10. What is the area of a triangle with base 8 cm and height 5 cm?

13 cm² 20 cm² 40 cm² 80 cm²

Answer: ½ × 8 × 5 = 20 cm².

About this test

Year 7 consolidates primary maths with harder numbers and introduces algebra properly. It is the ideal moment to catch any gaps from KS2 before they widen.

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