  # Fill in the Gaps in the Table Keeping the Proportions the Same

In this worksheet, students find the missing numbers in tables showing pairs in direct proportion. Key stage:  KS 3

Curriculum topic:   Ratio, Proportion and Rates of Change

Curriculum subtopic:   Solve Problems Involving Direct and Inverse Proportion

Difficulty level:   #### Worksheet Overview

This worksheet 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

 1.5 3 4.5 = = 1 2 3

b is directly proportional to a.

Here b = 1.5 x a

To find b when a = 6, we solve
 b 6
=
 1.5 1
b = 6 × 1.5 = 9

To find a when b = 12, we solve
 12 a
=
 1.5 1
a = 12 ÷ 1.5 = 8

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