Free KS3 Maths Practice Test (Years 7 to 9, 10 Questions)

1. −4 + 9 =

−13 −5 5 13

Answer: Start at −4 and count up 9: 4 steps to 0, then 5 more gives 5.

2. Simplify ¹²⁄₁₈

⅔ ¾ ⁴⁄₉ ⅙

Answer: Divide top and bottom by 6: ¹²⁄₁₈ = ⅔.

3. Solve 2x − 3 = 11

x = 4 x = 7 x = 8 x = 14

Answer: Add 3: 2x = 14. Divide by 2: x = 7.

4. What is 30% of 250?

25 50 75 83.3

Answer: 10% of 250 is 25, so 30% is 3 × 25 = 75.

5. Round 3.476 to 1 decimal place

3.4 3.5 3.48 3

Answer: Look at the second decimal place (7): it is 5 or more, so 3.4 rounds up to 3.5.

6. The interior angles of a quadrilateral add up to …

180° 270° 360° 540°

Answer: A quadrilateral splits into two triangles: 2 × 180° = 360°.

7. 2³ =

5 6 8 9

Answer: 2³ = 2 × 2 × 2 = 8.

8. The nth term of a sequence is 4n + 1. What is the 5th term?

20 21 24 41

Answer: Substitute n = 5: 4 × 5 + 1 = 21.

9. Convert 2.5 km to metres

25 m 250 m 2,500 m 25,000 m

Answer: 1 km = 1,000 m, so 2.5 × 1,000 = 2,500 m.

10. What is the mean of 3, 7, 8 and 10?

6 7 7.5 8

Answer: Total = 28; 28 ÷ 4 = 7.

About this test

KS3 is where the building blocks for GCSE are laid: algebra, fractions and percentages in particular. Finding and fixing gaps now is far easier than in Year 11.

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