Fractions, Decimals and Percentages
38 free practice questions with explanations
PassNova has 38 free Functional Skills Maths L2 practice questions on Fractions, Decimals and 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 and Percentages: example questions & answers
38 worked examples with answers and explanations below. Practise them 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 3/4 as a percentage?
- A80%
- B75%✓
- C34%
- D30%
Answer: 3/4 = 0.75 = 75%. Or: 3/4 × 100 = 75.
What is 50% of £20?
- A£5
- B£15
- C£20
- D£10✓
Answer: 50% means half. Half of £20 = £20 ÷ 2 = £10.
What is 25% of 80?
- A20✓
- B25
- C40
- D60
Answer: 25% of 80 = 0.25 × 80 = 20.
What is 1/2 + 1/4?
- A3/4✓
- B2/6
- C1/8
- D1/6
Answer: 1/2 = 2/4. So 2/4 + 1/4 = 3/4.
What is 3/5 as a decimal?
- A0.3
- B0.5
- C0.6✓
- D0.8
Answer: 3/5 = 3 ÷ 5 = 0.6.
What is 10% of £50?
- A£15
- B£5✓
- C£10
- D£25
Answer: 10% of £50 = 0.1 × £50 = £5.
What is 2/3 as a percentage (to 1 d.p.)?
- A66.7%✓
- B67%
- C65%
- D66.6%
Answer: 2/3 = 0.666... = 66.7% (to 1 d.p.).
What is 0.5 as a fraction?
- A1/4
- B1/3
- C1/5
- D1/2✓
Answer: 0.5 = 5/10 = 1/2.
What is 0.25 as a fraction?
- A1/4✓
- B1/3
- C2/5
- D1/5
Answer: 0.25 = 25/100 = 1/4.
Which is larger: 3/5 or 0.6?
- A3/5
- BCannot compare
- C0.6
- DThey are equal✓
Answer: 3/5 = 0.6, so they are equal.
What is 20% of £80?
- A£60
- B£20
- C£40
- D£16✓
Answer: 20% of £80 = 0.2 × £80 = £16.
What is 1/5 as a decimal?
- A0.05
- B0.5
- C0.15
- D0.2✓
Answer: 1/5 = 1 ÷ 5 = 0.2.
What is 3/4 - 1/4?
- A2/4✓
- B3/8
- C1/4
- D2/3
Answer: 3/4 - 1/4 = 2/4. (Note: 2/4 can also be simplified to 1/2.)
What is 1/3 as a decimal (to 2 d.p.)?
- A0.33✓
- B0.31
- C0.3
- D0.34
Answer: 1/3 = 0.333... = 0.33 (to 2 d.p.).
What is 15% of 200?
- A20
- B25
- C30✓
- D35
Answer: 15% of 200 = 0.15 × 200 = 30.
What is 0.75 as a fraction?
- A3/4✓
- B3/5
- C2/3
- D4/5
Answer: 0.75 = 75/100 = 3/4.
What is 1/2 + 1/3 (in simplest form)?
- A5/6✓
- B2/3
- C1/6
- D2/5
Answer: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
A shirt costs £30. It is on sale for 20% off. What is the sale price?
- A£26
- B£24✓
- C£6
- D£25
Answer: 20% of £30 = £6. Sale price = £30 - £6 = £24.
What is 35% of 100?
- A350
- B3.5
- C35✓
- D65
Answer: 35% of 100 = 0.35 × 100 = 35.
What is 4/5 as a percentage?
- A80%✓
- B45%
- C75%
- D60%
Answer: 4/5 = 0.8 = 80%. Or: 4/5 × 100 = 80.
Which is smaller: 0.4 or 2/5?
- A2/5
- BCannot compare
- C0.4
- DThey are equal✓
Answer: 2/5 = 0.4, so they are equal.
What is 5/10 in simplest form?
- A2/5
- B1/2✓
- C1/5
- D5/10
Answer: 5/10 can be divided by 5: 5÷5=1, 10÷5=2, so 5/10 = 1/2.
What percentage is 1/5?
- A25%
- B50%
- C20%✓
- D15%
Answer: 1/5 = 0.2 = 20%.
An item is reduced by 30%. If it originally cost £100, what is the new price?
- A£60
- B£70✓
- C£80
- D£30
Answer: 30% of £100 = £30. New price = £100 - £30 = £70.
What is 2/8 in simplest form?
- A1/2
- B1/4✓
- C1/3
- D2/8
Answer: 2/8 can be divided by 2: 2÷2=1, 8÷2=4, so 2/8 = 1/4.
What is 1/4 as a percentage?
- A14%
- B50%
- C40%
- D25%✓
Answer: 1/4 = 0.25 = 25%.
What is 3/5 + 1/5?
- A4/5✓
- B1/2
- C3/10
- D4/10
Answer: 3/5 + 1/5 = 4/5.
What is 12% of 250?
- A20
- B25
- C30✓
- D40
Answer: 12% of 250 = 0.12 × 250 = 30.
What is 0.1 as a fraction?
- A1/10✓
- B1/3
- C1/100
- D1/5
Answer: 0.1 = 1/10.
After a 5% pay rise, Sam earns £26,250 a year. What was Sam's salary before the rise?
- A£25,000✓
- B£24,937.50
- C£27,562.50
- D£25,500
Answer: £26,250 is 105% of the old salary, so the old salary is £26,250 ÷ 1.05 = £25,000.
A coat is reduced by 30% in a sale and now costs £56. What was its original price?
- A£72.80
- B£39.20
- C£16.80
- D£80✓
Answer: £56 is 70% of the original price, so the original price is £56 ÷ 0.7 = £80.
A plumber's bill comes to £342 including VAT at 20%. What is the bill before VAT is added?
- A£273.60
- B£410.40
- C£285✓
- D£68.40
Answer: £342 is 120% of the price before VAT, so the price before VAT is £342 ÷ 1.2 = £285.
A repair costs £588 including VAT at 20%. How much of that total is VAT?
- A£117.60
- B£98✓
- C£147
- D£490
Answer: The total is 120% of the price before VAT, so the VAT is 20 parts out of 120, which is one sixth of the total: £588 ÷ 6 = £98.
A monthly gas bill has gone up by 8% and is now £129.60. What was the bill before the increase?
- A£119.23
- B£139.97
- C£120✓
- D£116.64
Answer: £129.60 is 108% of the old bill, so the old bill is £129.60 ÷ 1.08 = £120.
With a 15% staff discount, a laptop costs £527. What is its full price?
- A£606.05
- B£620✓
- C£447.95
- D£79.05
Answer: £527 is 85% of the full price, so the full price is £527 ÷ 0.85 = £620.
In a survey, 36 people said they cycle to work. That is 24% of everyone asked. How many people were asked altogether?
- A150✓
- B144
- C60
- D8.64
Answer: 36 is 24% of the total, so the total is 36 ÷ 0.24 = 150 people.
A price on a receipt includes VAT at 20%. Which calculation gives the price before VAT?
- AMultiply the total by 0.8
- BMultiply the total by 1.2
- CDivide the total by 20 and subtract that from the total
- DDivide the total by 1.2✓
Answer: Adding VAT at 20% multiplies a price by 1.2, so the price before VAT is found by dividing the total by 1.2.