KS2 Arithmetic (SATs) textbook

Chapter 3: Fractions

  • Strand Fractions
  • Level Year 6
  • Practice 98 questions with step-by-step solutions

KS2 SATs practice for arithmetic (Year 6). Original questions in the style of the national tests. Content: Compare and order fractions, including fractions greater than 1 (Year 5-6), Identify, name and write equivalent fractions, and use common factors to simplify (Year 5-6), Recognise mixed numbers and improper fractions, and convert between them (Year 5), Add and subtract fractions with the same denominator or with denominators that are multiples of the same number (Year 5), Add and subtract fractions with different denominators and mixed numbers, using equivalent fractions and common multiples (Year 6), Multiply proper fractions and mixed numbers by whole numbers (Year 5); multiply simple pairs of proper fractions in simplest form (Year 6), Divide proper fractions by whole numbers; associate a fraction with division and find decimal equivalents (Year 6).

Open Year 6 chapter

By the end of this chapter you will be able to

  • Simplify a fraction by dividing by a common factor
  • Find equivalent fractions and compare fractions with different denominators
  • Convert between mixed numbers and improper fractions
  • Add and subtract fractions, including mixed numbers
  • Multiply and divide fractions, and write a fraction as a decimal

You should already know

  • Equivalent fractions and simple fractions of amounts (Year 4 and 5 maths)
  • Common multiples and factors (Year 5 maths)

Where this leads

  • Decimals and percentages, including fractions as percentages (Chapter 4 of this book)

Lessons in this chapter

  1. 3.1 Equivalent fractions and simplifying
  2. 3.2 Comparing and ordering fractions
  3. 3.3 Mixed numbers and improper fractions
  4. 3.4 Adding and subtracting fractions
  5. 3.5 Multiplying and dividing fractions, and decimals
  6. Summary and key words
  7. Check-up and practice test questions

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

Practise with real exam questions

The DfE publishes every past KS2 test, with mark schemes, for free.

KS2 Arithmetic (SATs) past papers