Ratio & proportion
Free ratio and proportion lessons and resources for key stage 3 and GCSE maths, whichever board you teach: lesson decks, worksheets with answers, puzzles, exam questions and end of unit tests.
Ratio
Simplifying ratios
- Simplifying ratiosLesson · Support
- Exit ticket: Simplifying ratiosExit ticket
- Simplifying ratiosLesson · Foundation
- Exit ticket: Simplifying ratiosExit ticket
- Four Fours: equivalent ratiosPuzzle
- Ramp up: simplifying ratiosWorksheet · Foundation
- Revision mat: ratio and proportion, Foundation BRevision mat · Foundation
- Revision mat: ratio and proportion, Foundation ARevision mat · Foundation
- Revision mat: ratio and proportion, Higher BRevision mat · Higher
- Revision mat: ratio and proportion, Higher ARevision mat · Higher
- Ratio: exam questionsExam questions
Sharing in a ratio
- Sharing in a ratioLesson · Support
- Exit ticket: Sharing in a ratioExit ticket
- Sharing in a ratioLesson · Foundation
- Exit ticket: Sharing in a ratioExit ticket
- Code breaker: sharing in a ratioPuzzle
- Sharing in a ratioWorksheet · Foundation
- Ramp up: sharing in a ratioWorksheet · Foundation
- Combining ratiosLesson · Common
- Exit ticket: Combining ratiosExit ticket
- Revision mat: ratio and proportion, Foundation BRevision mat · Foundation
- Revision mat: ratio and proportion, Foundation ARevision mat · Foundation
- Combining ratiosWorksheet · Common
- Revision mat: ratio and proportion, Higher BRevision mat · Higher
- Revision mat: ratio and proportion, Higher ARevision mat · Higher
- Ratio: exam questionsExam questions
Ratios and fractions
- Ratios and fractionsLesson · Support
- Exit ticket: Ratios and fractionsExit ticket
- Ratios and fractionsLesson · Foundation
- Exit ticket: Ratios and fractionsExit ticket
- Four Fours: ratios and fractionsPuzzle
- Ramp up: ratios and fractionsWorksheet · Foundation
- Revision mat: ratio and proportion, Foundation BRevision mat · Foundation
- Revision mat: ratio and proportion, Foundation ARevision mat · Foundation
- Revision mat: ratio and proportion, Higher BRevision mat · Higher
- Revision mat: ratio and proportion, Higher ARevision mat · Higher
- Ratio: exam questionsExam questions
One quantity as a fraction of another
- One quantity as a fraction of anotherLesson · Support
- Exit ticket: One quantity as a fraction of anotherExit ticket
- One quantity as a fraction of anotherLesson · Foundation
- Exit ticket: One quantity as a fraction of anotherExit ticket
- Four Fours: one quantity as a fraction of anotherPuzzle
- Revision mat: fractions, Foundation BRevision mat · Foundation
- Revision mat: fractions, Foundation ARevision mat · Foundation
- Fractions: exam questionsExam questions
- Ramp up: one quantity as a fraction of anotherWorksheet · Foundation
- Ratio: exam questionsExam questions
Ratios as equations and graphs
- Revision mat: ratio and proportion, Foundation BRevision mat · Foundation
- Revision mat: ratio and proportion, Foundation ARevision mat · Foundation
- Ratios and linear functionsLesson · Foundation
- Exit ticket: Ratios and linear functionsExit ticket
- Four Fours: ratios and linear functionsPuzzle
- Ramp up: ratios as equations and graphsWorksheet · Foundation
- Revision mat: ratio and proportion, Higher BRevision mat · Higher
- Revision mat: ratio and proportion, Higher ARevision mat · Higher
- Ratio: exam questionsExam questions
Map scales and scale diagrams
- Map scalesLesson · Support
- Exit ticket: Map scalesExit ticket
- Map scalesLesson · Foundation
- Exit ticket: Map scalesExit ticket
- Map scales: measuringLesson · Support
- Exit ticket: Map scales: measuringExit ticket
- Map scales: measuringLesson · Foundation
- Exit ticket: Map scales: measuringExit ticket
- Code breaker: map scalesPuzzle
- Ramp up: map scales and scale diagramsWorksheet · Foundation
- Scale drawings and maps: exam questionsExam questions
- Revision mat: angles 2, Foundation BRevision mat · Foundation
- Revision mat: angles 2, Foundation ARevision mat · Foundation
- Revision mat: angles and polygons, Higher ARevision mat · Higher
- Find the spot: scale, bearings and lociPuzzle
- Revision mat: constructions and loci, Higher ARevision mat · Higher
Proportion
Proportion problems
- Ratio: finding a missing amountLesson · Support
- Exit ticket: Ratio: finding a missing amountExit ticket
- Ratio: finding a missing amountLesson · Foundation
- Exit ticket: Ratio: finding a missing amountExit ticket
- Code breaker: ratio and a missing amountPuzzle
- Revision mat: ratio and proportion, Foundation BRevision mat · Foundation
- Revision mat: ratio and proportion, Foundation ARevision mat · Foundation
- Ramp up: proportion problemsWorksheet · Foundation
- Revision mat: ratio and proportion, Higher BRevision mat · Higher
- Revision mat: ratio and proportion, Higher ARevision mat · Higher
- Proportion: exam questionsExam questions
Direct and inverse proportion
- Revision mat: ratio and proportion, Foundation BRevision mat · Foundation
- Revision mat: ratio and proportion, Foundation ARevision mat · Foundation
- Direct proportionLesson · Support
- Exit ticket: Direct proportionExit ticket
- Direct proportionLesson · Foundation
- Exit ticket: Direct proportionExit ticket
- Best buysWorksheet · Foundation
- Inverse proportionLesson · Foundation
- Exit ticket: Inverse proportionExit ticket
- Crossnumber: proportionPuzzle
- Four Fours: direct and inverse proportionPuzzle
- Shuttle: proportionPuzzle
- Direct proportion: worded problemsLesson · Higher
- Exit ticket: Direct proportion: worded problemsExit ticket
- Direct proportion graphsLesson · Foundation
- Exit ticket: Direct proportion graphsExit ticket
- Ramp up: direct and inverse proportionWorksheet · Foundation
- Inverse proportion graphsLesson · Common
- Exit ticket: Inverse proportion graphsExit ticket
- Four Fours: proportion graphsPuzzle
- Revision mat: direct and inverse proportion, Foundation BRevision mat · Foundation
- Revision mat: direct and inverse proportion, Foundation ARevision mat · Foundation
- Revision mat: graphs 2, Foundation BRevision mat · Foundation
- Revision mat: graphs 2, Foundation ARevision mat · Foundation
- Revision mat: ratio and proportion, Higher BRevision mat · Higher
- Revision mat: pre-calculus, Higher ARevision mat · Higher
- Revision mat: proportion 2, Higher ARevision mat · Higher
- Revision mat: graphs, Higher ARevision mat · Higher
- Revision mat: ratio and proportion, Higher ARevision mat · Higher
- Proportion: exam questionsExam questions
Proportion with algebra
- Proportion equationsLesson · Common
- Exit ticket: Proportion equationsExit ticket
- Direct proportion: y = kxLesson · Higher
- Exit ticket: Direct proportion: y = kxExit ticket
- Direct proportion: y = kxWorksheet · Higher
- Direct proportion: worded problemsLesson · Higher
- Exit ticket: Direct proportion: worded problemsExit ticket
- Inverse proportion: y = k/xLesson · Higher
- Exit ticket: Inverse proportion: y = k/xExit ticket
- Code breaker: direct and inverse proportionPuzzle
- Inverse proportion: y = k/xWorksheet · Higher
- Ramp up: proportion with algebraWorksheet · Higher
- Revision mat: direct and inverse proportion, Foundation BRevision mat · Foundation
- Revision mat: direct and inverse proportion, Foundation ARevision mat · Foundation
- Revision mat: ratio and proportion, Higher BRevision mat · Higher
- Revision mat: proportion 2, Higher ARevision mat · Higher
- Revision mat: ratio and proportion, Higher ARevision mat · Higher
- Proportion: exam questionsExam questions
Proportion graphs and rates of change
- Real-life graphs: exam questionsExam questions
- Rates from graphsLesson · Common
- Exit ticket: Rates from graphsExit ticket
- Direct proportion graphsLesson · Foundation
- Exit ticket: Direct proportion graphsExit ticket
- Inverse proportion graphsLesson · Common
- Exit ticket: Inverse proportion graphsExit ticket
- Four Fours: proportion graphsPuzzle
- Revision mat: direct and inverse proportion, Foundation BRevision mat · Foundation
- Revision mat: direct and inverse proportion, Foundation ARevision mat · Foundation
- Revision mat: graphs 2, Foundation BRevision mat · Foundation
- Revision mat: graphs 2, Foundation ARevision mat · Foundation
- Revision mat: ratio and proportion, Higher BRevision mat · Higher
- Revision mat: pre-calculus, Higher ARevision mat · Higher
- Revision mat: proportion 2, Higher ARevision mat · Higher
- Revision mat: graphs, Higher ARevision mat · Higher
- Revision mat: ratio and proportion, Higher ARevision mat · Higher
- Ramp up: proportion graphs and rates of changeWorksheet · Common
- Proportion: exam questionsExam questions
Rates of change on curves
- Gradient of a curveLesson · Higher
- Exit ticket: Gradient of a curveExit ticket
- Ramp up: rates of change on curvesWorksheet · Higher
- Code breaker: gradients and areasPuzzle
- Revision mat: pre-calculus, Higher ARevision mat · Higher
End of unit tests
- Ratio and proportion test: Foundation AEnd of unit test
- Ratio and proportion test: Foundation BEnd of unit test
- Ratio and proportion test: SupportEnd of unit test
- Direct and inverse proportion test: Foundation AEnd of unit test
- Direct and inverse proportion test: Foundation BEnd of unit test
- Direct and inverse proportion test: HigherEnd of unit test
- Ratio and proportion test: HigherEnd of unit test
- Ratio and proportion test: CoreEnd of unit test
- Ratio and proportion test: ExtensionEnd of unit test