GCSE & IGCSE maths practice

Fractions, decimals and percentages questions and answers

Fractions, decimals and percentages are three ways to write the same amount: $\tfrac{1}{4} = 0.25 = 25\%$ . To change a decimal to a percentage multiply by 100; to change a fraction to a decimal divide the top by the bottom. Convert everything to decimals to put them in order.

8 questions · Foundation tier · Every answer is checked as you type it, with a full worked solution. Updated 27 Oct 2026.

Start the questions Fractions, decimals and percentages guide

Where fractions, decimals and percentages comes up

GCSE (AQA, Edexcel, OCR)	Foundation and Higher: work interchangeably with terminating decimals and their corresponding fractions, and with percentages.
Cambridge IGCSE (0580)	Core and Extended: recognise equivalence and convert between fractions, decimals and percentages.

The method

Decimal → %: × 100. % → decimal: ÷ 100.
Fraction → decimal: numerator ÷ denominator.
Decimal → fraction: write over 10, 100 or 1000 and simplify.
To order, convert everything to decimals.

Fractions, decimals and percentages questions

Try each one before looking at the hint. If you're stuck, the AI tutor can talk you through it step by step.

Warm-up

Question 1Warm-upFoundation

Write 0.35 as a percentage.

Question 2Warm-upFoundation

Write $\tfrac{3}{8}$ as a decimal.

Exam-style

Question 3Exam-styleFoundation

Write 45% as a fraction in its simplest form.

Question 4Exam-styleFoundation

Write 0.6 as a fraction in its simplest form.

Question 5Exam-styleFoundation

Which is the largest: 0.65, $\tfrac{2}{3}$ , 64% or $\tfrac{13}{20}$ ?

Question 6Exam-styleFoundation

Write $\tfrac{7}{20}$ as a percentage.

Challenge

Question 7ChallengeFoundation

Write 0.125 as a fraction in its simplest form.

Question 8ChallengeFoundation

Write 1.25 as a percentage.

Common mistakes

Writing 0.35 as 3.5%.
Writing 3/8 as 3.8.
Not simplifying the fraction.

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Sources

The questions are our own. The “where it comes up” notes are from each board's published specification, checked on 26 October 2026:

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