Direct Proportion — Free KS3 Worksheet
A free, printable KS3 worksheet on direct proportion and the unitary method, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, from finding the value of one up to comparing unit prices to find the better buy.
Two quantities are in direct proportion when doubling one doubles the other. If four burgers cost twelve pounds, then one burger costs three, and seven cost twenty one. Finding the value of one thing and then multiplying up is the method, and it handles almost every question of this type you will meet at KS3.
What is on the sheet
Finding the value of one first, on its own, so the step is solid before it is used. Then multiplying up from it. Then the same method applied to a rate, such as distance covered in an hour, which is direct proportion wearing different clothes. The last questions are worded with no numbers pulled out for you, which is the real skill, and a stretch where the unit value is not a whole number.
Marking it
The direct proportion lesson works the burger question through both ways so the adding error is seen failing rather than just described.
Keep going
More ratio & proportion practice
Sharing in a Ratio — Free KS3 Worksheet
A free, printable KS3 worksheet on sharing an amount in a ratio without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including three-part ratios and word problems.
Simplifying Ratios — Free KS3 Worksheet
A free, printable KS3 worksheet on simplifying ratios without a calculator, with a full worked answer key. 16 questions graded easy to hard for Years 7, 8 and 9, including three-part ratios, different units and word problems.
Want all 3 ratio & proportion worksheets at once?
One PDF, 48 questions, every answer key included, in teaching order. Every sheet in it is free on its own page too. The pack just saves you collecting them one at a time.