Direct Proportion 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 Examples
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 = kx2 , y is directly proportional to x cubed is written as y = kx3 , y varies directly with the square root of x is written as y = k√x.
For Inverse Proportion Worksheets try here: Inverse Proportion Worksheets.
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.