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Find Missing Values Using Direct Proportion

In this worksheet, students will find the missing numbers in tables showing pairs in direct proportion.

'Find Missing Values Using Direct Proportion' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Solve Problems Involving Direct and Inverse Proportion

Popular topics:   Ratio worksheets

Difficulty level:  

Worksheet Overview

This activity is about keeping pairs of numbers in the same ratio.


If two quantities are in direct proportion, the ratio between corresponding values will always be the same.


a = 1 2 3 4 5
b = 1.5 3 4.5 6 7.5


In this table, the ratio between a and b can be found by dividing the value of b by its corresponding value of a.


Where B is 3 and A is 2:   3 ÷ 2 = 1.5

Where B is 4.5 and A is 3:  4.5 ÷ 3 = 1.5


Now we know that the ratio between a and b is 1.5


If we know a and we want to find b, we simply multiply a by 1.5

For example, if a = 6 then b = 1.5 × 6 = 9


We can also use this ratio to find the value of a if we know what b is.

We do the inverse and simply divide b by 1.5


For example if b = 15, then a = 15 ÷ 1.5 = 10 


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