GCSE Maths / Edexcel

Ratio, Proportion and Rates revision

Ratio, direct and inverse proportion, compound measures, and multi-step percentage problems.

These questions are where real-world interpretation and clean setup matter as much as arithmetic.

Paper focus: Foundation confidence builder, Higher reasoning bridge. Tiers: Foundation and Higher.

Revision hint

Get students to state what one part means before calculating the final answer.

Typical exam signals

sharebest buyspeeddensityrecipe

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Start with Writing and simplifying ratios, then use the app tools to practise, upload an answer, or ask for an explanation.

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Learn the method, then practise it.

Each revision note is built as a short lesson with theory, worked examples, quick exercises, and exam-style questions with marking guidance.

Foundation and Higher / Grades 3 to 5

Writing and simplifying ratios

Write ratios in the correct order, use matching units, and simplify ratios by dividing every part by the same factor.

Pearson Edexcel GCSE Maths ratio R1 and R3: use ratio notation and express ratios in their simplest form.

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Foundation and Higher / Grades 3 to 5

Sharing in a ratio

Split a total amount into two-part and three-part ratios by finding the value of one part first.

Pearson Edexcel GCSE Maths ratio R5: divide a quantity in a given ratio and solve related problems.

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Foundation and Higher / Grades 4 to 6

Finding missing amounts from a ratio

Use a known part of a ratio to find one part, another amount, or the total amount.

Pearson Edexcel GCSE Maths ratio R5 and R8: use ratios to find quantities when another quantity is known.

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Foundation and Higher / Grades 4 to 6

Ratio as fractions

Connect ratio parts to fractions of a total, and convert between fraction statements and ratio notation.

Pearson Edexcel GCSE Maths ratio R4 and R6: connect ratios, fractions and proportional comparisons.

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Foundation and Higher / Grades 3 to 5

Best value

Compare offers fairly by finding a unit price or scaling both options to the same amount.

Pearson Edexcel GCSE Maths ratio R8 and R10: solve proportion and best value problems in context.

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Foundation and Higher / Grades 3 to 5

Recipes and scaling

Scale recipe quantities up or down using a multiplier, one-portion method, or equivalent ratio.

Pearson Edexcel GCSE Maths ratio R10: solve direct proportion problems, including recipes and scaling.

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Foundation and Higher / Grades 3 to 5

Currency conversion

Use exchange rates correctly by deciding whether to multiply or divide, then rounding money sensibly.

Pearson Edexcel GCSE Maths ratio R10 and N13: use proportion and calculator skills in financial contexts.

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Foundation and Higher / Grades 4 to 7

Direct proportion

Recognise direct proportion, scale quantities using the same multiplier, and use y = kx or Higher proportional formulae.

Pearson Edexcel GCSE Maths ratio R10 and R13: solve direct proportion problems and recognise proportional relationships.

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Foundation and Higher / Grades 5 to 8

Inverse proportion

Recognise inverse proportion, use products or formulae, and solve worker-time and Higher inverse-square problems.

Pearson Edexcel GCSE Maths ratio R13 and R14: solve inverse proportion problems and recognise inverse proportion graphically.

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Foundation and Higher / Grades 4 to 6

Speed, density and pressure

Choose and rearrange the correct compound-measure formula, use consistent units, and show method clearly.

Pearson Edexcel GCSE Maths ratio R11: use compound measures such as speed, density and pressure.

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Spec points

Use ratios and fractions to compare quantities.

Solve direct and inverse proportion problems.

Apply compound measures such as speed and density.

Common question types

Split an amount in a given ratio.

Work with speed, density, or pressure formulas.

Solve a proportion question from a table or graph.