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GCSE Maths textbook

GCSE Maths Fractions: lesson and practice questions

  • Strand Number
  • Tier Foundation and Higher
  • Practice 126 questions with step-by-step solutions

Edexcel GCSE (9–1) Mathematics 1MA1, Foundation tier. Content references N1, N2, N8, N10, N12, R3. (Check references against the latest published specification before publishing.)

Open Foundation chapter Open Higher chapter

By the end of this chapter you will be able to

  • Read, write and draw fractions, and tell proper, improper and mixed apart
  • Find equivalent fractions and write fractions in their simplest form
  • Order and compare fractions
  • Add, subtract, multiply and divide fractions and mixed numbers
  • Find a fraction of an amount, and find the whole from a fraction
  • Change between fractions, decimals and percentages

You should already know

  • Times tables up to 12 × 12
  • Factors, multiples, HCF and LCM (Chapter 2)
  • Division with remainders

Where this leads

  • Percentages, ratio and proportion, probability, algebraic fractions, and every area of the course

Foundation lessons in this chapter

  1. 3.1 Understanding fractions · Worksheet (PDF) · Answers (PDF)
  2. 3.2 Equivalent fractions and simplifying · Worksheet (PDF) · Answers (PDF)
  3. 3.3 Ordering and comparing fractions · Worksheet (PDF) · Answers (PDF)
  4. 3.4 Mixed numbers and improper fractions · Worksheet (PDF) · Answers (PDF)
  5. 3.5 Adding and subtracting fractions · Worksheet (PDF) · Answers (PDF)
  6. 3.6 Multiplying fractions · Worksheet (PDF) · Answers (PDF)
  7. 3.7 Dividing fractions · Worksheet (PDF) · Answers (PDF)
  8. 3.8 Fractions of amounts · Worksheet (PDF) · Answers (PDF)
  9. 3.9 Fractions, decimals and percentages · Worksheet (PDF) · Answers (PDF)
  10. Summary and key words
  11. Check-up and exam-style questions · Worksheet (PDF) · Answers (PDF)

Read the whole Foundation chapter on one page (good for printing).

Higher lessons in this chapter

  1. 3.1 Fraction arithmetic with confidence · Worksheet (PDF) · Answers (PDF)
  2. 3.2 Multi-step and reverse fraction problems · Worksheet (PDF) · Answers (PDF)
  3. 3.3 Recurring decimals and fractions · Worksheet (PDF) · Answers (PDF)
  4. 3.4 Simplifying algebraic fractions · Worksheet (PDF) · Answers (PDF)
  5. 3.5 Algebraic fractions and equations · Worksheet (PDF) · Answers (PDF)
  6. 3.6 Reasoning and proof with fractions · Worksheet (PDF) · Answers (PDF)
  7. Summary and key words
  8. Check-up and exam-style questions · Worksheet (PDF) · Answers (PDF)

Read the whole Higher chapter on one page (good for printing).

Practise with real exam questions

Every exam board publishes its past papers and mark schemes free on its own website. We link you straight there, organised by subject.

GCSE Maths past papers