GCSE Maths Foundation: Number practice questions
Ten free GCSE Maths Foundation tier questions on fractions, decimals, rounding, prime factors, HCF and LCM, standard form and negative numbers, each with a worked solution. Suitable for AQA, Edexcel and OCR.
Original questions written by Studoli tutors in the style of the GCSE exam. They are not official past questions.
Timed mode
10 questions in 15 minutes, one question at a time. Your answers are marked when you submit or when the time runs out.
Topic: Order of operations
1. Work out 3 + 4 × 5.
Solution
A. 23
- Multiply before adding: 4 × 5 = 20.
- 3 + 20 = 23.
Topic: Fractions and decimals
2. Write 0.375 as a fraction in its simplest form.
Solution
D. 3/8
- 0.375 = 375/1000.
- Divide top and bottom by 125: 3/8.
Topic: Rounding
3. Round 4.876 to 1 decimal place.
Solution
C. 4.9
- Look at the second decimal place: 7.
- 7 is 5 or more, so round the first decimal place up: 4.9.
Topic: Prime factors
4. Write 56 as a product of its prime factors.
Solution
B. 2³ × 7
- 56 = 2 × 28 = 2 × 2 × 14 = 2 × 2 × 2 × 7.
- So 56 = 2³ × 7.
Topic: HCF
5. Find the highest common factor of 24 and 36.
Solution
A. 12
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
- The highest one in both lists is 12.
Topic: LCM
6. Find the lowest common multiple of 6 and 8.
Solution
D. 24
- Multiples of 6: 6, 12, 18, 24, ...
- Multiples of 8: 8, 16, 24, ...
- The first one in both lists is 24.
Topic: Fractions
7. Work out 2/3 + 1/4.
Solution
C. 11/12
- Use a common denominator of 12: 2/3 = 8/12 and 1/4 = 3/12.
- 8/12 + 3/12 = 11/12.
Topic: Standard form
8. Write 45 000 in standard form.
Solution
B. 4.5 × 10⁴
- Standard form is A × 10ⁿ with 1 ≤ A < 10.
- 45 000 = 4.5 × 10 000 = 4.5 × 10⁴.
Topic: Powers
9. Work out 5² − 3³.
Solution
A. −2
- 5² = 25 and 3³ = 27.
- 25 − 27 = −2.
Topic: Negative numbers
10. The temperature is −4 °C. It rises by 9 °C. What is the new temperature?
Solution
D. 5 °C
- Start at −4 and count up 9.
- −4 + 9 = 5 °C.
0 of 10 answered