# Direct Proportion Worksheets and Answers

# Teach Maths The Easy Way

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## Direct Proportion Worksheet Practice

Direct proportion worksheets for year 11 working at grade 8 for 9-1 GCSE Maths in the UK national curriculum. The direct proportion worksheet asks students to find an equation for y in x by finding the constant of proportionality.

## Direct Proportion Statements

Direct proportion involves multiplicative reasoning. Direct proportion requires the student to work comfortably with fractions and decimals. The direct proportion statements below show y as proportional to x. When y is proportional to x it is written as y = kx, y is proportional to the square of x is written as y = kx^{2} , y is directly proportional to x cubed is written as y = kx^{3} , y varies directly with the square root of x is written as y = k√x.

## How To Recognise Direct Proportion

Directly proportional relationships are linear. When mapped on a graph if x and y are proportional, then the line formed is linear and straight through the origin. An example of directly proportional relationships when y is written in terms of x include: y = 1, x = 5, y = 2, x = 10, y = 3, x = 15. In this case the constant of proportionality is 5, where y = kx. The formula for this relationship is y = 5x. The graph circled below shows the shape of direct proportionality.

# Direct Proportion Questions And Answers

**For Inverse Proportion Worksheets try here: Inverse Proportion. **