Ratio & Proportion Worksheets

Create Printable Ratio and Proportion Worksheets for Upper Primary and KS3

Generate free printable ratio and proportion practice sheets covering the three core skills: simplifying ratios to their lowest terms, sharing an amount in a given ratio, and solving direct-proportion (scaling) problems.

Create worksheets in A4 or US Letter PDF format for Year 6 revision through to Key Stage 3 classroom practice. Each sheet can focus on one skill or mix all three, and an optional answer key speeds up marking.

This ratio and proportion generator helps parents, teachers, homeschoolers, and tutors produce a fresh set of problems every time, so learners can practise the method rather than memorising specific answers.

Why use this ratio and proportion generator?

Ratio is one of the topics where pupils most often need repeated, varied practice to build confidence. A generator gives you unlimited fresh problems without hunting through textbooks. Use it for:

• Year 6 ratio and proportion revision
• Key Stage 3 starter tasks and consolidation
• SATs-style question banks
• tutor sessions focusing on specific subskills
• homeschool progression from fractions to ratio

Because you can split the three topics apart, a learner can drill the weakest one (often sharing in a ratio) without wading through revision of skills they already have.

What you can customise

The generator gives clear control over the question mix and difficulty:

• Topic: Simplify ratios, Share in a ratio, Direct proportion, or Mixed
• Maximum value: Caps the size of numbers used in the problems
• Question count: Choose how many problems appear on each page
• Include answer key: Appends a full answers page
• Worksheet title, name and date fields
• Paper size: A4 or US Letter PDF

Every problem is built to have whole-number answers so learners do not have to juggle decimals while they are still getting the method right.

Notes and limitations

• Sharing in a ratio always uses totals that divide cleanly by the sum of the ratio parts.
• Simplifying ratios are generated from random multipliers, so the starting ratio is always reducible.
• Direct proportion problems use whole-number scale factors to keep the arithmetic accessible.
• At the top end of the Maximum value range, problems stretch mental maths; for calculator-free work, keep it moderate.

Who these worksheets are for

Ratio sits at the end of primary and the start of secondary, so this generator covers a wide span of learners.

Parents

Support Year 6 SATs preparation with printable ratio practice that focuses on one subskill at a time.

Teachers

Generate starter tasks, homework, and low-stakes assessments without reusing the same textbook questions.

Homeschool families

Match the worksheet to the learner's current step: simplify only at first, then sharing, then direct proportion.

Tutors

Fill specific gaps — many pupils can simplify but stall on sharing, or vice versa — with targeted single-topic sheets.

Worksheet style options

Simplifying ratios

Given a ratio like 12:18, reduce to its simplest form (2:3). Builds directly on the greatest-common-factor work pupils already do with fractions.

Sharing in a ratio

Given a total and a ratio (for example "Share £48 in the ratio 3:5"), find the two shares. This is the classic Year 6 to Year 7 question style.

Direct proportion

Given a unit relationship ("5 pencils cost £1.50"), find the cost of a different quantity. Develops the recipe-style proportional reasoning pupils meet in Key Stage 3.

Mixed

Mixed mode shuffles all three, which mirrors revision and exam papers.

How to use the tool

1. Choose the topic: simplify, share, direct proportion, or mixed.
2. Set the Maximum value to control how hard the arithmetic is.
3. Pick the number of questions per sheet.
4. Turn Include answer key on or off.
5. Choose A4 or US Letter paper.
6. Click Generate to preview the questions.
7. Download the PDF.

Worked example

Pick Topic = Share in a ratio with Maximum value = 60. You might see "Share £48 in the ratio 1:3". Adding the parts (1 + 3 = 4) gives one part worth £12, so the shares are £12 and £36.

A simplify question on the same sheet might read "Simplify the ratio 24:36". Both sides divide by 12 to give 2:3. A direct-proportion question might read "If 5 pencils cost £2.00, how much do 8 pencils cost?" — one pencil costs £0.40, so 8 pencils cost £3.20.

Methodology

The engine builds simplifying questions by choosing a simple ratio and multiplying both sides by a random factor. Sharing questions pick ratio parts first, then select a total that divides cleanly by their sum. Direct-proportion questions build from a unit rate and a whole-number scale factor. Answers are derived from the same underlying values, so the key is always consistent with the printed questions.

Helpful preset ideas

• Simplify only, Max value 40, for first lessons in Year 6
• Sharing in a ratio, Max value 60, for Year 6 SATs prep
• Direct proportion, Max value 50, for Year 7 introduction
• Mixed, Max value 80, for Year 8 revision

Best ways to practise ratio and proportion

• Always write the sum of ratio parts as a separate step when sharing.
• Check that simplified ratios cannot be reduced further.
• Look for the unit rate ("one pencil costs…") before scaling up in direct proportion.
• Work one topic at a time before attempting a mixed sheet.

Designed for A4 and US Letter Printing

Ratio worksheets are produced as A4 or US Letter PDFs so you can print cleanly at school or at home. Question spacing and title layout rescale to the paper size you choose.

Related maths practice tools

You may also find these related maths generators useful:

• Fractions Practice Sheets Generator
• Introduction to Algebra Worksheets
• Equation Solving Worksheets
• Math Word Problems Generator