Free 11+ Maths Practice Test

Ten 11+ maths questions a step above KS2: percentages, sequences, speed, ratio and shape, each with the working.

1. What is 25% of 360?

Answer: 25% is a quarter: 360 ÷ 4 = 90.

2. What comes next? 2, 5, 10, 17, 26, …

Answer: The gaps go up by 2 each time (3, 5, 7, 9), so the next gap is 11: 26 + 11 = 37.

3. 0.4 × 0.3 =

Answer: 4 × 3 = 12, and there are two decimal places in total, so 0.12.

4. A car travels 60 miles in 1.5 hours. What is its average speed?

Answer: Speed = distance ÷ time = 60 ÷ 1.5 = 40 mph.

5. What is the smallest prime number?

Answer: A prime has exactly two factors. 1 has only one, so the smallest prime is 2.

6. What is ⅜ of 64?

Answer: 64 ÷ 8 = 8, then 8 × 3 = 24.

7. Angles on a straight line add up to …

Answer: A straight line is half a turn: 180°.

8. If x + 7 = 15, what is x?

Answer: Subtract 7 from both sides: x = 15 − 7 = 8.

9. The ratio of boys to girls is 2 : 3. There are 30 children. How many are girls?

Answer: 2 + 3 = 5 parts; 30 ÷ 5 = 6 per part; girls = 3 × 6 = 18.

10. How many faces does a cube have?

Answer: A cube has 6 square faces (and 8 vertices, 12 edges).

About this test

11+ maths goes a little beyond the Year 6 curriculum and rewards speed as well as accuracy. Practising multi-step questions like these helps children spot the method quickly under timed conditions.

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