KS2 Maths textbook

Year 6 Ratio and Proportion: lesson and practice

Strand Ratio and proportion
Level Year 6
Practice 100 questions with step-by-step solutions

National Curriculum for England, Key Stage 2 mathematics, Year 6. Content: Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts, Solve problems involving similar shapes where the scale factor is known or can be found, Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples, Ratio notation a:b.

Open Year 6 chapter

By the end of this chapter you will be able to

Write a ratio in the right order, in the form a:b, and simplify it by dividing by the HCF
Find equivalent ratios, and find a missing number by finding the scale
Find a missing number in a ratio by dividing, when the known number is the bigger one
Find the scale factor for similar shapes, and use it to find new lengths
Share an amount unequally in a ratio, and find one share from another
Work out totals for groups, such as packs and bags, where each group has a ratio in it

You should already know

Multiples, factors and the highest common factor (Year 6, Chapter 3)
Equivalent fractions and simplifying (Year 6, Chapter 4)
Fractions of amounts, with the top number and the bottom number (Year 6, Chapter 4)
Multiplying and dividing whole numbers, with the bus-stop and short methods (Year 6, Chapter 2)

Where this leads

Algebra, where ratios and formulae use letters for unknown numbers (Year 6, Chapter 8)
Measures and scale, such as maps and recipes (Year 6, Chapter 9)
Pie charts, where the angles share a whole in a ratio (Year 6, Chapter 12)

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 past papers