Functional Skills Maths L1

Fractions and Decimals

36 free practice questions with explanations

36 free questions · instant explanations · no sign-up

PassNova has 36 free Functional Skills Maths L1 practice questions on Fractions and Decimals, each with a clear explanation. Practise them in the browser with instant feedback — 100% free, no sign-up, on any device. Updated for 2026.

Sample questions

Fractions and Decimals: example questions & answers

36 worked examples with answers and explanations below. Practise them in the browser with instant feedback on every answer.

  1. What is 1/4 of 20?

    • A4
    • B5✓
    • C10
    • D15

    Answer: 1/4 of 20 = 20 ÷ 4 = 5.

  2. What is 1/2 of 30?

    • A10
    • B15✓
    • C20
    • D25

    Answer: 1/2 of 30 = 30 ÷ 2 = 15.

  3. What is 0.5 as a fraction?

    • A1/3
    • B2/3
    • C1/4
    • D1/2✓

    Answer: 0.5 = 5/10 = 1/2.

  4. What is 3/4 as a decimal?

    • A0.25
    • B0.50
    • C0.75✓
    • D0.90

    Answer: 3/4 = 0.75.

  5. A pizza is cut into 8 slices. Sarah eats 2 slices. What fraction does she eat?

    • A3/8
    • B6/8
    • C1/2
    • D1/4✓

    Answer: Sarah eats 2/8 = 1/4 of the pizza.

  6. What is 1/3 of 15?

    • A3
    • B5✓
    • C10
    • D12

    Answer: 1/3 of 15 = 15 ÷ 3 = 5.

  7. What is 0.25 as a fraction?

    • A1/4✓
    • B2/3
    • C1/3
    • D1/2

    Answer: 0.25 = 25/100 = 1/4.

  8. A book has 200 pages. You read 1/4 of it. How many pages did you read?

    • A25
    • B50✓
    • C75
    • D100

    Answer: 1/4 of 200 = 200 ÷ 4 = 50 pages.

  9. What is 2/3 as a decimal (rounded to 2 decimal places)?

    • A0.33
    • B0.50
    • C0.67✓
    • D0.75

    Answer: 2/3 = 0.6666... ≈ 0.67.

  10. What is 0.5 + 0.25?

    • A0.30
    • B0.50
    • C0.75✓
    • D0.90

    Answer: 0.5 + 0.25 = 0.75.

  11. What is 1.5 + 2.3?

    • A3.6
    • B3.7
    • C3.8✓
    • D3.9

    Answer: 1.5 + 2.3 = 3.8.

  12. What is 3.6 - 1.2?

    • A2.2
    • B2.3
    • C2.4✓
    • D2.5

    Answer: 3.6 - 1.2 = 2.4.

  13. A piece of material is 2.5 metres long. Another is 1.3 metres. What is the total length?

    • A3.6 metres
    • B3.9 metres
    • C3.7 metres
    • D3.8 metres✓

    Answer: 2.5 + 1.3 = 3.8 metres.

  14. What is 2/5 as a decimal?

    • A0.25
    • B0.4✓
    • C0.5
    • D0.75

    Answer: 2/5 = 0.4.

  15. What is 1/5 of 25?

    • A3
    • B5✓
    • C10
    • D15

    Answer: 1/5 of 25 = 25 ÷ 5 = 5.

  16. A shop has 60 items. 1/3 are red. How many are red?

    • A15
    • B20✓
    • C30
    • D40

    Answer: 1/3 of 60 = 60 ÷ 3 = 20 red items.

  17. What is 4.5 + 2.7?

    • A7.1
    • B7.2✓
    • C7.3
    • D7.4

    Answer: 4.5 + 2.7 = 7.2.

  18. What is 5.6 - 3.2?

    • A2.2
    • B2.3
    • C2.4✓
    • D2.5

    Answer: 5.6 - 3.2 = 2.4.

  19. Which is larger: 3/4 or 0.7?

    • A3/4✓
    • BCannot determine
    • CThey are equal
    • D0.7

    Answer: 3/4 = 0.75, which is larger than 0.7.

  20. What is 0.1 + 0.2 + 0.3?

    • A0.5
    • B0.6✓
    • C0.7
    • D0.8

    Answer: 0.1 + 0.2 + 0.3 = 0.6.

  21. A recipe uses 0.5 kg of flour and 0.3 kg of sugar. What is the total?

    • A0.8 kg✓
    • B0.6 kg
    • C0.9 kg
    • D0.7 kg

    Answer: 0.5 + 0.3 = 0.8 kg.

  22. What is 2/4 of 24?

    • A8
    • B10
    • C12✓
    • D14

    Answer: 2/4 = 1/2, so 1/2 of 24 = 24 ÷ 2 = 12.

  23. What is 0.75 as a fraction?

    • A3/4✓
    • B1/2
    • C2/3
    • D4/5

    Answer: 0.75 = 75/100 = 3/4.

  24. A fabric is 1.8 metres long. How much is 1/2 of it?

    • A0.8 metres
    • B0.6 metres
    • C1.0 metre
    • D0.9 metres✓

    Answer: 1/2 of 1.8 = 1.8 ÷ 2 = 0.9 metres.

  25. What is 10.5 - 4.3?

    • A5.2
    • B6.1
    • C6.2✓
    • D6.3

    Answer: 10.5 - 4.3 = 6.2.

  26. In a class of adult learners the ratio of women to men is 3:2. What fraction of the class are men?

    • A2/5✓
    • B2/3
    • C3/5
    • D1/2

    Answer: The parts add up to 5 and the men make up 2 of those parts, so the men are 2/5 of the class.

  27. A fruit drink is made with 1 part juice to 3 parts water. What percentage of the drink is juice?

    • A33%
    • B30%
    • C25%✓
    • D75%

    Answer: The parts add up to 4 and the juice is 1 of them, so the juice is a quarter of the drink, which is 25%.

  28. At a depot the ratio of full-time staff to part-time staff is 5:3. What fraction of the staff work part-time?

    • A3/5
    • B3/8✓
    • C5/8
    • D1/3

    Answer: The parts add up to 8 and the part-time staff make up 3 of those parts, so they are 3/8 of the staff.

  29. In a car park, 3 out of every 5 cars run on diesel and the rest run on petrol. What is the ratio of diesel cars to petrol cars?

    • A3:2✓
    • B3:5
    • C5:3
    • D2:5

    Answer: If 3 cars in every 5 are diesel then the other 2 are petrol, so diesel to petrol is 3:2.

  30. In a shop, 60% of customers pay by card and the rest pay in cash. Written in its simplest form, what is the ratio of card payments to cash payments?

    • A2:3
    • B5:3
    • C3:5
    • D3:2✓

    Answer: 60% pay by card and the remaining 40% pay cash, and dividing 60:40 by 20 gives a simplest form of 3:2.

  31. Round 38.67 to the nearest whole number.

    • A38.5
    • B40
    • C38
    • D39✓

    Answer: The digit after the decimal point is 6, which is 5 or more, so round up: 38.67 rounds to 39.

  32. What is the place value of the digit 3 in the number 5.03?

    • AHundredths✓
    • BTenths
    • CUnits
    • DThousandths

    Answer: The 3 is two places after the decimal point, so it is in the hundredths place. The 0 is in the tenths place.

  33. Order these numbers from smallest to largest: 2.5, 2.05, 2.55, 2.15

    • A2.15, 2.05, 2.5, 2.55
    • B2.05, 2.5, 2.15, 2.55
    • C2.05, 2.15, 2.5, 2.55✓
    • D2.55, 2.5, 2.15, 2.05

    Answer: Write each one with two decimal places: 2.50, 2.05, 2.55, 2.15. Comparing them gives 2.05, 2.15, 2.50, 2.55.

  34. Round 0.456 to 1 decimal place.

    • A0.45
    • B0.5✓
    • C0.46
    • D0.4

    Answer: Look at the second decimal place, which is 5. Since it is 5 or more, round up: 0.456 rounds to 0.5.

  35. Round 12.345 to 2 decimal places.

    • A12.34
    • B12.3
    • C12.4
    • D12.35✓

    Answer: Look at the third decimal place, which is 5. Since it is 5 or more, round up: 12.345 rounds to 12.35.

  36. What is 3/4 as a percentage?

    • A75%✓
    • B80%
    • C34%
    • D30%

    Answer: 3/4 = 0.75, and 0.75 × 100 = 75%. Or: 3/4 × 100 = 75.

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