Fractions Decimals Percentages
49 free practice questions with explanations
PassNova has 49 free GCSE Maths Foundation practice questions on Fractions Decimals Percentages, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.
Fractions Decimals Percentages: example questions & answers
40 worked examples with answers and explanations below. Practise all 49 Fractions Decimals Percentages questions free in the browser, with instant feedback on every answer.
What is 1/4 as a decimal?
- A0.14
- B0.25✓
- C0.4
- D0.5
Answer: 1/4 = 1 ÷ 4 = 0.25.
What is 0.6 as a fraction in its simplest form?
- A3/5✓
- B6/100
- C6/10
- D60/100
Answer: 0.6 = 6/10. Simplify by dividing by 2: 6/10 = 3/5.
What is 25% as a decimal?
- A0.25✓
- B0.025
- C25
- D2.5
Answer: Percentage means 'out of 100'. So 25% = 25/100 = 0.25.
What is 3/5 as a percentage?
- A35%
- B60%✓
- C80%
- D53%
Answer: 3/5 = 0.6 = 60/100 = 60%.
Calculate 1/3 + 1/6.
- A2/6
- B1/2✓
- C5/6
- D2/9
Answer: Find common denominator: 1/3 = 2/6. So 2/6 + 1/6 = 3/6 = 1/2.
Calculate 3/4 × 2/5.
- A5/9
- B6/9
- C3/10✓
- D6/15
Answer: Multiply numerators and denominators: (3 × 2)/(4 × 5) = 6/20 = 3/10.
Calculate 2/3 ÷ 1/2.
- A1/6
- B1/3
- C4/3✓
- D3/4
Answer: Flip the second fraction: 2/3 ÷ 1/2 = 2/3 × 2/1 = 4/3.
What is 10% of £80?
- A£8✓
- B£80
- C£18
- D£800
Answer: 10% = 10/100 = 1/10. 1/10 of £80 = £80 ÷ 10 = £8.
A shirt costs £20. It is reduced by 20%. What is the new price?
- A£16✓
- B£4
- C£18
- D£12
Answer: 20% of £20 = 0.2 × £20 = £4. New price = £20 - £4 = £16.
What is 3/8 as a decimal?
- A0.3
- B0.375✓
- C0.38
- D0.83
Answer: 3/8 = 3 ÷ 8 = 0.375.
Calculate 1/2 + 1/4 + 1/4.
- A2/8
- B1✓
- C3/8
- D3/4
Answer: 1/2 = 2/4. So 2/4 + 1/4 + 1/4 = 4/4 = 1.
What is 0.05 as a percentage?
- A0.5%
- B50%
- C5%✓
- D0.05%
Answer: 0.05 = 5/100 = 5%.
A book was £15. After a discount, it costs £12. What is the percentage discount?
- A15%
- B30%
- C25%
- D20%✓
Answer: Discount = £15 - £12 = £3. Percentage = (3/15) × 100% = 20%.
Calculate 1/5 + 2/5.
- A3/10
- B3/5✓
- C5/5
- D3/25
Answer: Same denominator: 1/5 + 2/5 = 3/5.
What is 1/8 as a percentage?
- A18%
- B80%
- C12.5%✓
- D8%
Answer: 1/8 = 0.125 = 12.5%.
A price of £50 is increased by 10%. What is the new price?
- A£45
- B£40
- C£60
- D£55✓
Answer: 10% of £50 = £5. New price = £50 + £5 = £55.
Calculate 2/3 - 1/3.
- A1/6
- B1/3✓
- C1/9
- D3/6
Answer: Same denominator: 2/3 - 1/3 = 1/3.
What is 50% of 300?
- A50
- B100
- C150✓
- D250
Answer: 50% = 1/2. 1/2 of 300 = 300 ÷ 2 = 150.
A phone costs £400. In a sale, it is 15% off. What is the sale price?
- A£350
- B£385
- C£360
- D£340✓
Answer: 15% of £400 = 0.15 × £400 = £60. Sale price = £400 - £60 = £340.
What is 7/10 as a percentage?
- A77%
- B17%
- C7%
- D70%✓
Answer: 7/10 = 70/100 = 70%.
What is 25% of £80?
- A£30
- B£20✓
- C£15
- D£25
Answer: 25% = 1/4. 1/4 × £80 = £20.
What is 15% of 200?
- A15
- B20
- C30✓
- D45
Answer: 15% × 200 = 0.15 × 200 = 30.
Convert 3/5 to a decimal.
- A0.35
- B0.5
- C0.6✓
- D0.75
Answer: 3/5 = 3 ÷ 5 = 0.6.
Convert 7/8 to a percentage.
- A87.5%✓
- B70%
- C78%
- D85%
Answer: 7/8 = 0.875 = 87.5%.
What is 2/3 + 1/4?
- A3/7
- B11/12✓
- C8/12
- D3/12
Answer: 2/3 + 1/4. LCM of 3 and 4 is 12. 2/3 = 8/12 and 1/4 = 3/12. So 8/12 + 3/12 = 11/12.
What is 3/4 - 1/3?
- A9/12
- B2/12
- C5/12✓
- D2/1
Answer: 3/4 - 1/3. LCM of 4 and 3 is 12. 3/4 = 9/12 and 1/3 = 4/12. So 9/12 - 4/12 = 5/12.
What is 2/5 × 3/4?
- A5/20
- B6/9
- C5/9
- D6/20✓
Answer: 2/5 × 3/4 = (2 × 3)/(5 × 4) = 6/20 = 3/10.
What is 3/4 ÷ 1/2?
- A1.5✓
- B2/4
- C3/4
- D3/8
Answer: 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 1.5.
A price of £50 is increased by 20%. What is the new price?
- A£70
- B£55
- C£60✓
- D£100
Answer: 20% of £50 = 0.20 × £50 = £10. New price = £50 + £10 = £60.
A price of £80 is decreased by 15%. What is the new price?
- A£68✓
- B£65
- C£75
- D£95
Answer: 15% of £80 = 0.15 × £80 = £12. New price = £80 - £12 = £68.
£1000 is invested at 5% compound interest per year. What is the value after 2 years?
- A£1102.50✓
- B£1100
- C£1150
- D£1050
Answer: After 1 year: £1000 × 1.05 = £1050. After 2 years: £1050 × 1.05 = £1102.50.
A population of 10000 increases by 3% per year. What is the population after 2 years?
- A10600
- B10609✓
- C10900
- D11000
Answer: After 1 year: 10000 × 1.03 = 10300. After 2 years: 10300 × 1.03 = 10609.
Express 0.123123123... as a fraction.
- A123/999✓
- B1/9
- C1/8
- D123/1000
Answer: Let x = 0.123123123... Then 1000x = 123.123123... Subtracting: 999x = 123, so x = 123/999 = 41/333.
What is 0.5̄ (0.555...) as a fraction?
- A5/10
- B5/9✓
- C5/99
- D55/100
Answer: Let x = 0.555... Then 10x = 5.555... Subtracting: 9x = 5, so x = 5/9.
A shop offers a 10% discount on all items. A coat originally costs £120. What is the discounted price?
- A£100
- B£110
- C£108✓
- D£102
Answer: 10% discount means paying 90%. 90% of £120 = 0.90 × £120 = £108.
A car depreciates by 20% per year. If it costs £10000 new, what is it worth after 1 year?
- A£8500
- B£2000
- C£9000
- D£8000✓
Answer: After 1 year: £10000 × (1 - 0.20) = £10000 × 0.80 = £8000.
Convert 0.45 to a fraction in lowest terms.
- A9/20✓
- B45/100
- C4.5/10
- D45/1000
Answer: 0.45 = 45/100. HCF of 45 and 100 is 5. So 45/100 = 9/20.
What percentage is 18 out of 72?
- A25%✓
- B20%
- C50%
- D18%
Answer: 18/72 = 1/4 = 0.25 = 25%.
A restaurant bill is £45 before tip. If you add a 20% tip, what is the total?
- A£49
- B£52.50
- C£56.50
- D£54✓
Answer: 20% of £45 = 0.20 × £45 = £9. Total = £45 + £9 = £54.
What is 2/5 as a percentage?
- A40%✓
- B20%
- C25%
- D50%
Answer: 2/5 = 0.4 = 40%.