Proportion Question Generator

Builds a sheet of proportion questions at the level you ask for. Best-value questions never come out level, and inverse-proportion questions always divide exactly, so no question has two right answers or a fractional one. Every question is computed and checked directly — not a fabricated or AI-guessed fact.

How many questions

Between 1 and 30. The sheet below shows how many pages they take.

Level

Seed (optional)

A word reproduces the same sheet, so a whole class can be given the identical set.

Gentle scales a recipe. Standard adds the unitary method and best-value comparisons; stretch adds inverse proportion, where more people means fewer days.

Paper size

Print size

Margin

Millimetres of blank edge, 5 to 40.

Turn the paper sideways

Room to answer in

How to print this, or save it as a PDF

There is no PDF to download, and there does not need to be. Open the print command in your browser and choose “Save as PDF” as the destination. The page addresses and dates a browser normally prints across the top and bottom are already kept off.
Set the scale to 100%, not “fit to page”. This sheet is already the exact size of the paper you chose, so anything that resizes it makes every measurement on it wrong.
Leave the paper size in the dialog set to the same one you chose here.

Your questions will appear here.

What this generator does

Generates direct and inverse proportion questions with answers. Including both matters: students who have only met direct proportion will happily answer an inverse question by scaling in the wrong direction, and the wrong answer is entirely plausible.

How to use this tool

Choose a level and how many questions you want.
Press make questions and work through the sheet.
Show the answers to mark it, or show the working to see the value of one item or one part.
Enter a seed word to rebuild the same sheet later.

Worked examples

Scaling a recipe, gentle level, seed round9: A recipe for 7 flapjacks uses 308 g of oats; for 14 flapjacks → 616 g, from 308 ÷ 7 = 44 g for one flapjack.

Common use cases

Proportion practice at home or school
Quick maths warm-ups
Self-testing before a maths quiz

How this generator works

For a direct question, a unit rate is drawn and both the given and the asked-for quantity are built as whole multiples of it, so the answer never needs rounding. For an inverse question, a constant product is fixed first — the number of people times the days the job takes them — and both sides of the question are drawn as factors of it, so dividing back out always lands exactly.

Randomness and fairness

A seed rebuilds the exact sheet of questions rather than a single result — the same word reproduces the same direct/inverse mix, quantities and order for as long as the generator is unchanged, which is what lets an answer key be generated separately and still match. Deterministic, not cryptographic.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

The scaling factor is always chosen to divide exactly. A proportion problem with a messy, non-whole ratio is not produced.
Which quantities are proportional is stated by the question rather than something you have to establish from a real scenario.
Only two quantities are related at a time; problems needing three related quantities together are not covered.