GCSE & IGCSE maths practice

Fractions questions and answers

To add or subtract fractions, use a common denominator. To multiply, multiply the tops and the bottoms. To divide, flip the second fraction and multiply. Turn mixed numbers into improper fractions first. Type answers as fractions in their simplest form, like 7/12 (improper fractions like 25/6 are fine).

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

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Where fractions comes up

GCSE (AQA, Edexcel, OCR)	Foundation and Higher: apply the four operations to simple fractions (proper and improper) and mixed numbers.
Cambridge IGCSE (0580)	Core and Extended: use the four operations with fractions and mixed numbers.

The method

Add/subtract: rewrite with a common denominator, then add or subtract the numerators.
Multiply: numerator × numerator, denominator × denominator, then simplify.
Divide: keep the first, flip the second, multiply.
Mixed numbers: convert to improper fractions first (1½ = 3/2).

Fractions 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

Work out $\tfrac{1}{3} + \tfrac{1}{4}$

Question 2Warm-upFoundation

Work out $\tfrac{5}{6} - \tfrac{1}{3}$

Exam-style

Question 3Exam-styleFoundation

Work out $\tfrac{2}{3} \times \tfrac{3}{5}$

Question 4Exam-styleFoundation

Work out $\tfrac{3}{4} \div \tfrac{1}{2}$

Question 5Exam-styleFoundation

Work out $\tfrac{2}{5}$ of 60.

Question 6Exam-styleFoundation

Work out $1\tfrac{1}{2} + 2\tfrac{2}{3}$ . Give your answer as an improper fraction.

Challenge

Question 7ChallengeFoundation

Work out $2\tfrac{1}{4} \times 1\tfrac{1}{3}$

Question 8ChallengeFoundation

Write $\tfrac{18}{24}$ in its simplest form.

Common mistakes

Adding the denominators: 1/3 + 1/4 isn't 2/7.
Flipping the first fraction when dividing.
Not simplifying the answer.

Stuck on one of these?

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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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