KS2 Arithmetic (SATs) textbook

Chapter 5: Ratio and proportion

Strand Ratio and proportion
Level Year 6
Practice 90 questions with step-by-step solutions

KS2 SATs practice for arithmetic (Year 6). Original questions in the style of the national tests. Content: Solve problems involving the relative sizes of two quantities, finding missing values by integer multiplication or division (Year 5-6), Use the ratio language a:b and the link between ratio and fractions (Year 6), Solve problems of unequal sharing and grouping using knowledge of fractions and multiples (Year 6), Solve problems involving similar shapes where the scale factor is known or can be found (Year 6), Use the unit method for proportion, including percentages as a proportion of a whole (Year 5-6).

Open Year 6 chapter

By the end of this chapter you will be able to

Simplify a ratio and write it as a fraction of the whole
Find a missing value in an equivalent ratio
Share an amount in a given ratio, including three parts
Find a scale factor and use it on a similar shape
Use the unit method, and write one amount as a percentage of another

You should already know

Equivalent fractions and simplifying (Chapter 3 of this book)
Percentages of amounts (Chapter 4 of this book)

Where this leads

Algebra and formulae, including simple proportion in a formula (Chapter 6 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 Arithmetic (SATs) past papers