Free Year 8 Maths Practice Test (10 Questions)

1. 3⁴ =

12 27 64 81

Answer: 3 × 3 × 3 × 3 = 9 × 9 = 81.

2. Write 45,000 in standard form

45 × 10³ 4.5 × 10³ 4.5 × 10⁴ 0.45 × 10⁵

Answer: The first number must be between 1 and 10: 4.5, and the decimal moves 4 places: 4.5 × 10⁴.

3. Solve 3(x + 2) = 21

x = 5 x = 6 x = 7 x = 19/3

Answer: Divide by 3: x + 2 = 7, so x = 5.

4. Decrease £60 by 25%

£15 £35 £45 £55

Answer: 25% of £60 is £15; £60 − £15 = £45.

5. What is the area of a circle of radius 10 cm, in terms of π?

10π cm² 20π cm² 100π cm² 200π cm²

Answer: Area = πr² = π × 10² = 100π cm².

6. A prism has a cross-section of 6 cm² and a length of 10 cm. What is its volume?

16 cm³ 36 cm³ 60 cm³ 600 cm³

Answer: Volume = cross-section × length = 6 × 10 = 60 cm³.

7. The probability of an event is 0.35. What is the probability it does not happen?

0.35 0.55 0.65 1.35

Answer: 1 − 0.35 = 0.65.

8. What is the nth term of 7, 11, 15, 19, …?

4n 4n + 3 4n + 7 7n + 4

Answer: It goes up by 4 (so 4n), and 4 + 3 = 7 for the first term: 4n + 3.

9. £1 = $1.25. How many dollars is £40?

$32 $41.25 $50 $52.50

Answer: 40 × 1.25 = $50.

10. What do the interior angles of a pentagon add up to?

360° 450° 540° 720°

Answer: (5 − 2) × 180° = 540°.

About this test

Year 8 adds indices, standard form, equations with brackets, circle area and probability. Students who are confident here usually find GCSE content much less daunting.

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