KS2 Maths reasoning (SATs) textbook

Chapter 2: Fractions and decimals reasoning

Strand Fractions, decimals and percentages
Level Year 6
Practice 121 questions with step-by-step solutions

KS2 SATs practice for reasoning (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 and use equivalent fractions, and simplify using common factors (Year 5-6), Add and subtract fractions with different denominators and mixed numbers (Year 6), Multiply and divide fractions by whole numbers, and multiply simple pairs of proper fractions (Year 5-6), Read, write and order decimals to thousandths, and multiply and divide by 10, 100 and 1000 (Year 5-6), Round decimals to a given degree of accuracy in context (Year 6), Recall equivalences between simple fractions, decimals and percentages, and find percentages of amounts (Year 5-6).

Open Year 6 chapter

By the end of this chapter you will be able to

Say which of two fractions is larger and explain how you know
Simplify a fraction, and write an equivalent fraction
Add, subtract and multiply fractions and mixed numbers, and give the answer in simplest form
Move the digits of a decimal when multiplying or dividing by 10, 100 or 1000
Find a fraction, decimal or percentage of an amount, and say which is larger

You should already know

Equivalent fractions and simple fractions of amounts (Year 4 and Year 5 fractions)
Place value in decimals to two places and the four operations (Year 5 decimals)

Where this leads

Ratio and proportion reasoning (Chapter 3 of this book)

Lessons in this chapter

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 Maths reasoning (SATs) past papers