Ratio and Proportion Homework

Year 6 MathsRatio and Proportion5 pages

About this worksheet

Six sections of ratio and proportion homework for Year 6 maths. Pupils price 8 oranges from 3 for 90p, scale a pancake recipe for 6 people, share ยฃ60 in the ratio 1:4, work with scale factors, compare percentage discounts, then tackle a challenge combining percentages and ratios. Covers four England National Curriculum objectives, with a full answer key.

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Curriculum objectives covered

Ratio and proportion

โ€œSolve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division factsโ€

Sections 1 and 2 are built on scaling with multiplication and division facts.

Ratio and proportion

โ€œSolve problems involving unequal sharing and grouping using knowledge of fractions and multiplesโ€

Section 3 shares amounts in given ratios.

Ratio and proportion

โ€œSolve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparisonโ€

Section 5 compares discounts using percentages.

What's inside this worksheet

Relative Sizes

Proportion tables and rate questions, including a machine printing 150 pages in 5 minutes.

Recipe Proportions

Scaling pancakes for 6 people, then working backwards from 100g of flour.

Unequal Sharing

Sharing ยฃ60 in the ratio 1:4 and finding blue marbles from red.

Scale Factors and Percentages

Rectangle enlargements, triangle perimeters and comparing discounts.

Challenge Problem

One multi-step problem mixing percentages and ratios.

How teachers use it

Weekly homework

Five pages spread naturally over a week of ratio teaching.

Unit review

The six sections retrace the whole unit in order.

Stretch task

The final challenge suits pupils who need more than one-step ratio work.

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