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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.
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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.
विषय: Order of operations
1. Work out 3 + 4 × 5.
हल
A. 23
- Multiply before adding: 4 × 5 = 20.
- 3 + 20 = 23.
विषय: Fractions and decimals
2. Write 0.375 as a fraction in its simplest form.
हल
D. 3/8
- 0.375 = 375/1000.
- Divide top and bottom by 125: 3/8.
विषय: Rounding
3. Round 4.876 to 1 decimal place.
हल
C. 4.9
- Look at the second decimal place: 7.
- 7 is 5 or more, so round the first decimal place up: 4.9.
विषय: Prime factors
4. Write 56 as a product of its prime factors.
हल
B. 2³ × 7
- 56 = 2 × 28 = 2 × 2 × 14 = 2 × 2 × 2 × 7.
- So 56 = 2³ × 7.
विषय: HCF
5. Find the highest common factor of 24 and 36.
हल
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.
विषय: LCM
6. Find the lowest common multiple of 6 and 8.
हल
D. 24
- Multiples of 6: 6, 12, 18, 24, ...
- Multiples of 8: 8, 16, 24, ...
- The first one in both lists is 24.
विषय: Fractions
7. Work out 2/3 + 1/4.
हल
C. 11/12
- Use a common denominator of 12: 2/3 = 8/12 and 1/4 = 3/12.
- 8/12 + 3/12 = 11/12.
विषय: Standard form
8. Write 45 000 in standard form.
हल
B. 4.5 × 10⁴
- Standard form is A × 10ⁿ with 1 ≤ A < 10.
- 45 000 = 4.5 × 10 000 = 4.5 × 10⁴.
विषय: Powers
9. Work out 5² − 3³.
हल
A. −2
- 5² = 25 and 3³ = 27.
- 25 − 27 = −2.
विषय: Negative numbers
10. The temperature is −4 °C. It rises by 9 °C. What is the new temperature?
हल
D. 5 °C
- Start at −4 and count up 9.
- −4 + 9 = 5 °C.
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