Number
Free number 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.
Calculations
Ordering numbers
- Place value and the four operations: exam questionsExam questions
- Ordering whole numbersLesson · Support
- Exit ticket: Ordering whole numbersExit ticket
- Ordering decimalsLesson · Support
- Exit ticket: Ordering decimalsExit ticket
- Decimals: tenths and hundredthsLesson · Support
- Exit ticket: Decimals: tenths and hundredthsExit ticket
- Ordering decimalsLesson · Foundation
- Exit ticket: Ordering decimalsExit ticket
- Perfect Ten: ordering numbersPuzzle
- Negative numbers on a thermometerLesson · Support
- Exit ticket: Negative numbers on a thermometerExit ticket
- Revision mat: decimals and rounding, Foundation BRevision mat · Foundation
- Revision mat: decimals and rounding, Foundation ARevision mat · Foundation
- Fractions on a bar and a number lineLesson · Support
- Exit ticket: Fractions on a bar and a number lineExit ticket
- Ordering fractionsLesson · Support
- Exit ticket: Ordering fractionsExit ticket
- Ordering fractionsLesson · Foundation
- Exit ticket: Ordering fractionsExit ticket
- Ramp up: ordering numbersWorksheet · Foundation
- Revision mat: fractions, Higher ARevision mat · Higher
- Decimals: exam questionsExam questions
- Revision mat: fractions, Foundation BRevision mat · Foundation
- Revision mat: fractions, Foundation ARevision mat · Foundation
- Fractions: exam questionsExam questions
Four operations and place value
- Place value in 4 digit numbersLesson · Support
- Exit ticket: Place value in 4 digit numbersExit ticket
- Place value and the four operations: exam questionsExam questions
- Multiplying and dividing by 10, 100 and 1000Lesson · Support
- Exit ticket: Multiplying and dividing by 10, 100 and 1000Exit ticket
- Decimals: tenths and hundredthsLesson · Support
- Exit ticket: Decimals: tenths and hundredthsExit ticket
- Adding and subtracting decimalsLesson · Support
- Exit ticket: Adding and subtracting decimalsExit ticket
- Adding and subtracting on a number lineLesson · Support
- Exit ticket: Adding and subtracting on a number lineExit ticket
- Column addition and subtractionLesson · Support
- Exit ticket: Column addition and subtractionExit ticket
- Multiplication facts with arraysLesson · Support
- Short multiplicationLesson · Support
- Exit ticket: Multiplication facts with arraysExit ticket
- Exit ticket: Short multiplicationExit ticket
- Negative numbers on a thermometerLesson · Support
- Exit ticket: Negative numbers on a thermometerExit ticket
- Negative numbers: adding and subtractingLesson · Support
- Exit ticket: Negative numbers: adding and subtractingExit ticket
- Negative numbers: adding and subtractingLesson · Foundation
- Exit ticket: Negative numbers: adding and subtractingExit ticket
- Code breaker: adding and subtracting negativesPuzzle
- Multiplying and dividing negative numbersLesson · Support
- Exit ticket: Multiplying and dividing negative numbersExit ticket
- Multiplying and dividing negative numbersLesson · Foundation
- Exit ticket: Multiplying and dividing negative numbersExit ticket
- Multiplying and dividing decimals by 10 and 100Lesson · Support
- Exit ticket: Multiplying and dividing decimals by 10 and 100Exit ticket
- Multiplying decimalsLesson · Support
- Exit ticket: Multiplying decimalsExit ticket
- Multiplying decimalsLesson · Foundation
- Exit ticket: Multiplying decimalsExit ticket
- Dividing decimalsLesson · Support
- Exit ticket: Dividing decimalsExit ticket
- Dividing decimalsLesson · Foundation
- Exit ticket: Dividing decimalsExit ticket
- Four Fours: multiplying and dividing decimalsPuzzle
- Ramp up: four operations and place valueWorksheet · Foundation
- Division as sharing and groupingLesson · Support
- Short divisionLesson · Support
- Exit ticket: Division as sharing and groupingExit ticket
- Exit ticket: Short divisionExit ticket
- Answer chain: one step at a timePuzzle
- Code breaker: times tablesPuzzle
- Four Fours: four operationsPuzzle
- Revision mat: decimals and rounding, Foundation BRevision mat · Foundation
- Revision mat: decimals and rounding, Foundation ARevision mat · Foundation
- Revision mat: number, Foundation BRevision mat · Foundation
- Revision mat: number, Foundation ARevision mat · Foundation
- Revision mat: decimals and estimation, Higher ARevision mat · Higher
- Decimals: exam questionsExam questions
BIDMAS and inverse operations
- Place value and the four operations: exam questionsExam questions
- BIDMASLesson · Support
- Revision mat: algebra 2, Foundation ARevision mat · Foundation
- Revision mat: algebra 2, Foundation BRevision mat · Foundation
- Revision mat: number, Higher ARevision mat · Higher
- Exit ticket: BIDMASExit ticket
- BIDMASLesson · Foundation
- Exit ticket: BIDMASExit ticket
- Four Fours: BIDMASPuzzle
- Ramp up: BIDMAS and inverse operationsWorksheet · Foundation
- Using a calculator: powers, roots and bracketsLesson · Foundation
- Using a calculator: powers, roots and bracketsLesson · Support
- Revision mat: using a calculator, Foundation ARevision mat · Foundation
- Revision mat: using a calculator, Foundation BRevision mat · Foundation
- Exit ticket: Using a calculator: powers, roots and bracketsExit ticket
- Exit ticket: Using a calculator: powers, roots and bracketsExit ticket
- Code breaker: using a calculatorPuzzle
- BIDMAS and inverse operations: exam questionsExam questions
Factors, multiples and primes
- Revision mat: number, Higher ARevision mat · Higher
- Listing factorsLesson · Support
- Exit ticket: Listing factorsExit ticket
- Factors and multiples with arraysLesson · Support
- Exit ticket: Factors and multiples with arraysExit ticket
- Listing factorsLesson · Foundation
- Exit ticket: Listing factorsExit ticket
- Perfect Ten: factors, multiples and primesPuzzle
- Prime numbersLesson · Support
- Exit ticket: Prime numbersExit ticket
- Prime and composite numbersLesson · Support
- Exit ticket: Prime and composite numbersExit ticket
- Perfect Ten: types of numberPuzzle
- Prime factor decompositionLesson · Support
- Exit ticket: Prime factor decompositionExit ticket
- Prime factor decompositionLesson · Foundation
- Exit ticket: Prime factor decompositionExit ticket
- Four Fours: product of prime factorsPuzzle
- Lowest common multipleLesson · Support
- Exit ticket: Lowest common multipleExit ticket
- Highest common factor: Venn diagramsLesson · Support
- Exit ticket: Highest common factor: Venn diagramsExit ticket
- Highest common factor: Venn diagramsLesson · Foundation
- Lowest common multiple: Venn diagramsLesson · Foundation
- Exit ticket: Highest common factor: Venn diagramsExit ticket
- Exit ticket: Lowest common multiple: Venn diagramsExit ticket
- HCF and LCM: the ladder methodLesson · Foundation
- Exit ticket: HCF and LCM: the ladder methodExit ticket
- Code breaker: HCF and LCMPuzzle
- HCF and LCM: the ladder methodWorksheet · Foundation
- Key words: types of numberWorksheet · Foundation
- Perfect Ten: counting in stepsPuzzle
- Ramp up: factors and multiplesWorksheet · Foundation
- Revision mat: number, Foundation BRevision mat · Foundation
- Revision mat: number, Foundation ARevision mat · Foundation
- Factors, multiples and primes: exam questionsExam questions
Systematic listing and the product rule
- Systematic listingLesson · Support
- Exit ticket: Systematic listingExit ticket
- Systematic listingLesson · Foundation
- Exit ticket: Systematic listingExit ticket
- Perfect Ten: systematic listingPuzzle
- Ramp up: systematic listingWorksheet · Foundation
- The product rule for countingLesson · Higher
- Exit ticket: The product rule for countingExit ticket
- Ramp up: the product rule for countingWorksheet · Higher
- Systematic listing and counting: exam questionsExam questions
- Revision mat: number, Foundation BRevision mat · Foundation
- Revision mat: number, Foundation ARevision mat · Foundation
Powers, surds and standard form
Powers and roots
- Revision mat: algebra 2, Foundation ARevision mat · Foundation
- Revision mat: algebra 2, Foundation BRevision mat · Foundation
- Revision mat: number, Higher ARevision mat · Higher
- Key words: types of numberWorksheet · Foundation
- Squares and square rootsLesson · Support
- Exit ticket: Squares and square rootsExit ticket
- Square numbers as square arraysLesson · Support
- Exit ticket: Square numbers as square arraysExit ticket
- Squares and square rootsLesson · Foundation
- Exit ticket: Squares and square rootsExit ticket
- Cubes and cube rootsLesson · Support
- Exit ticket: Cubes and cube rootsExit ticket
- Cubes and cube rootsLesson · Foundation
- Exit ticket: Cubes and cube rootsExit ticket
- Four Fours: squares, cubes and rootsPuzzle
- Ramp up: powers and rootsWorksheet · Foundation
- Estimating rootsLesson · Higher
- Exit ticket: Estimating rootsExit ticket
- Ramp up: estimating powers and rootsWorksheet · Higher
- Index notationLesson · Support
- Exit ticket: Index notationExit ticket
- Using index notationLesson · Support
- Exit ticket: Using index notationExit ticket
- Four Fours: index notationPuzzle
- Revision mat: number, Foundation BRevision mat · Foundation
- Revision mat: number, Foundation ARevision mat · Foundation
- Factors, multiples and primes: exam questionsExam questions
- Revision mat: indices, standard form and surds, Higher ARevision mat · Higher
- Powers, roots and indices: exam questionsExam questions
- Decimals: exam questionsExam questions
- Perfect Ten: square and triangular numbersPuzzle
Indices
- Revision mat: algebra 2, Foundation ARevision mat · Foundation
- Revision mat: algebra 2, Foundation BRevision mat · Foundation
- Revision mat: number, Higher ARevision mat · Higher
- Index notationLesson · Support
- Exit ticket: Index notationExit ticket
- Using index notationLesson · Support
- Exit ticket: Using index notationExit ticket
- Four Fours: index notationPuzzle
- Revision mat: number, Foundation BRevision mat · Foundation
- Revision mat: number, Foundation ARevision mat · Foundation
- Ramp up: indicesWorksheet · Foundation
- Index laws: multiplying and dividingLesson · Common
- Exit ticket: Index laws: multiplying and dividingExit ticket
- Four Fours: index lawsPuzzle
- Fractional and negative indicesLesson · Higher
- Exit ticket: Fractional and negative indicesExit ticket
- Ramp up: laws of indicesWorksheet · Higher
- IndicesProblem solving
- Revision mat: indices, standard form and surds, Higher ARevision mat · Higher
- Powers, roots and indices: exam questionsExam questions
Surds and exact answers
- Simplifying surdsLesson · Higher
- Exit ticket: Simplifying surdsExit ticket
- Rationalising the denominatorLesson · Higher
- Exit ticket: Rationalising the denominatorExit ticket
- Four Fours: surdsPuzzle
- Ramp up: surdsWorksheet · Higher
- Revision mat: indices, standard form and surds, Higher ARevision mat · Higher
- Surds: exam questionsExam questions
Standard form
- Standard form: large numbersLesson · Foundation
- Exit ticket: Standard form: large numbersExit ticket
- Standard form: small numbersLesson · Foundation
- Exit ticket: Standard form: small numbersExit ticket
- Four Fours: standard formPuzzle
- Calculating with standard formLesson · Foundation
- Exit ticket: Calculating with standard formExit ticket
- Revision mat: standard form, Foundation BRevision mat · Foundation
- Revision mat: standard form, Foundation ARevision mat · Foundation
- Revision mat: indices, standard form and surds, Higher ARevision mat · Higher
- Ramp up: standard formWorksheet · Foundation
- Standard form: exam questionsExam questions
Fractions, decimals and percentages
Calculating with fractions
- Fractions on a bar and a number lineLesson · Support
- Exit ticket: Fractions on a bar and a number lineExit ticket
- Equivalent fractions on the barLesson · Support
- Exit ticket: Equivalent fractions on the barExit ticket
- Simplifying fractionsLesson · Support
- Exit ticket: Simplifying fractionsExit ticket
- Simplifying fractionsLesson · Foundation
- Exit ticket: Simplifying fractionsExit ticket
- Four Fours: simplifying fractionsPuzzle
- Mixed numbers and improper fractionsLesson · Support
- Exit ticket: Mixed numbers and improper fractionsExit ticket
- Mixed numbers and improper fractionsLesson · Foundation
- Exit ticket: Mixed numbers and improper fractionsExit ticket
- Four Fours: mixed numbers and improper fractionsPuzzle
- Adding and subtracting fractionsLesson · Support
- Exit ticket: Adding and subtracting fractionsExit ticket
- Adding and subtracting fractions with the same denominatorLesson · Support
- Exit ticket: Adding and subtracting fractions with the same denominatorExit ticket
- Adding and subtracting fractionsLesson · Foundation
- Exit ticket: Adding and subtracting fractionsExit ticket
- Code breaker: adding and subtracting fractionsPuzzle
- Multiplying fractionsLesson · Support
- Exit ticket: Multiplying fractionsExit ticket
- Multiplying fractionsLesson · Foundation
- Exit ticket: Multiplying fractionsExit ticket
- Dividing fractionsLesson · Support
- Exit ticket: Dividing fractionsExit ticket
- Dividing fractionsLesson · Foundation
- Exit ticket: Dividing fractionsExit ticket
- Code breaker: multiplying and dividing fractionsPuzzle
- Revision mat: fractions, Higher ARevision mat · Higher
- Ramp up: calculating with fractionsWorksheet · Foundation
- Revision mat: fractions, Foundation BRevision mat · Foundation
- Revision mat: fractions, Foundation ARevision mat · Foundation
- Fractions: exam questionsExam questions
Converting fractions and decimals
- Revision mat: using a calculator, Foundation ARevision mat · Foundation
- Revision mat: using a calculator, Foundation BRevision mat · Foundation
- Fractions to decimals with a calculatorLesson · Support
- Exit ticket: Fractions to decimals with a calculatorExit ticket
- Fractions to decimals with a calculatorLesson · Foundation
- Exit ticket: Fractions to decimals with a calculatorExit ticket
- Fractions, decimals and percentagesLesson · Support
- Exit ticket: Fractions, decimals and percentagesExit ticket
- Fractions, decimals and percentages on the 100 barLesson · Support
- Exit ticket: Fractions, decimals and percentages on the 100 barExit ticket
- Fractions, decimals and percentagesLesson · Foundation
- Exit ticket: Fractions, decimals and percentagesExit ticket
- Ramp up: converting fractions and decimalsWorksheet · Foundation
- Recurring decimals to fractionsLesson · Higher
- Exit ticket: Recurring decimals to fractionsExit ticket
- Four Fours: recurring decimalsPuzzle
- Revision mat: decimals and estimation, Higher ARevision mat · Higher
- Ramp up: recurring decimalsWorksheet · Higher
- Decimals: exam questionsExam questions
- Revision mat: fractions, Foundation BRevision mat · Foundation
- Revision mat: fractions, Foundation ARevision mat · Foundation
- Fractions: exam questionsExam questions
Fractions and percentages of amounts
- Fraction of an amountLesson · Support
- Exit ticket: Fraction of an amountExit ticket
- Fractions of an amount on the barLesson · Support
- Exit ticket: Fractions of an amount on the barExit ticket
- Fraction of an amountLesson · Foundation
- Exit ticket: Fraction of an amountExit ticket
- Four Fours: fractions of amountsPuzzle
- Four Fours: fractions, decimals and percentagesPuzzle
- 50%, 25% and 10% of an amountLesson · Support
- Exit ticket: 50%, 25% and 10% of an amountExit ticket
- Percentage of an amountLesson · Support
- Exit ticket: Percentage of an amountExit ticket
- Percentage of an amountLesson · Foundation
- Exit ticket: Percentage of an amountExit ticket
- Ramp up: fractions and percentages of amountsWorksheet · Foundation
- Revision mat: percentages, Foundation BRevision mat · Foundation
- Revision mat: percentages, Foundation ARevision mat · Foundation
- Revision mat: percentages, growth and decay, Higher ARevision mat · Higher
- Percentages: exam questionsExam questions
- Revision mat: fractions, Foundation BRevision mat · Foundation
- Revision mat: fractions, Foundation ARevision mat · Foundation
- Fractions: exam questionsExam questions
Fractions in ratio problems
- 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: fractions in ratio problemsWorksheet · 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
Percentages
- 50%, 25% and 10% of an amountLesson · Support
- Exit ticket: 50%, 25% and 10% of an amountExit ticket
- Code breaker: percentages of amountsPuzzle
- One number as a percentage of anotherLesson · Support
- Exit ticket: One number as a percentage of anotherExit ticket
- One number as a percentage of anotherLesson · Foundation
- Exit ticket: One number as a percentage of anotherExit ticket
- Percentage increase and decreaseLesson · Foundation
- Exit ticket: Percentage increase and decreaseExit ticket
- Code breaker: percentage increase and decreasePuzzle
- Reverse percentagesLesson · Foundation
- Exit ticket: Reverse percentagesExit ticket
- Reverse percentagesWorksheet · Foundation
- Simple interestLesson · Foundation
- Exit ticket: Simple interestExit ticket
- Ramp up: percentagesWorksheet · Foundation
- Four Fours: percentage multipliersPuzzle
- Revision mat: percentages, Foundation BRevision mat · Foundation
- Revision mat: percentages, Foundation ARevision mat · Foundation
- Revision mat: percentages, growth and decay, Higher ARevision mat · Higher
- Percentages: exam questionsExam questions
Compound interest, growth and decay
- Compound growth and decayLesson · Common
- Exit ticket: Compound growth and decayExit ticket
- Code breaker: compound interestPuzzle
- Four Fours: percentage multipliersPuzzle
- Revision mat: percentages, Foundation BRevision mat · Foundation
- Revision mat: percentages, Foundation ARevision mat · Foundation
- Revision mat: percentages, growth and decay, Higher ARevision mat · Higher
- Ramp up: compound growth and decayWorksheet · Common
- Percentages: exam questionsExam questions
Rounding, estimation and bounds
Rounding and error intervals
- Rounding to 1, 2 and 3 decimal placesLesson · Support
- Exit ticket: Rounding to 1, 2 and 3 decimal placesExit ticket
- Revision mat: decimals and rounding, Foundation BRevision mat · Foundation
- Revision mat: decimals and rounding, Foundation ARevision mat · Foundation
- Rounding to decimal placesLesson · Foundation
- Exit ticket: Rounding to decimal placesExit ticket
- Rounding to significant figuresLesson · Support
- Exit ticket: Rounding to significant figuresExit ticket
- Rounding to significant figuresLesson · Foundation
- Exit ticket: Rounding to significant figuresExit ticket
- Four Fours: significant figuresPuzzle
- Ramp up: roundingWorksheet · Foundation
- Error intervals from roundingLesson · Support
- Exit ticket: Error intervals from roundingExit ticket
- Four Fours: rounding to the nearest 10Puzzle
- Error intervalsLesson · Common
- Exit ticket: Error intervalsExit ticket
- Four Fours: error intervalsPuzzle
- Ramp up: error intervalsWorksheet · Common
- Revision mat: decimals and estimation, Higher ARevision mat · Higher
- Rounding, estimation and error intervals: exam questionsExam questions
Estimation
- Revision mat: decimals and rounding, Foundation BRevision mat · Foundation
- Revision mat: decimals and rounding, Foundation ARevision mat · Foundation
- EstimationLesson · Support
- Exit ticket: EstimationExit ticket
- EstimationLesson · Foundation
- Exit ticket: EstimationExit ticket
- Code breaker: estimationPuzzle
- Ramp up: estimationWorksheet · Foundation
- Revision mat: decimals and estimation, Higher ARevision mat · Higher
- Rounding, estimation and error intervals: exam questionsExam questions
Upper and lower bounds
- Revision mat: decimals and rounding, Foundation BRevision mat · Foundation
- Revision mat: decimals and rounding, Foundation ARevision mat · Foundation
- Limits of accuracyLesson · Common
- Exit ticket: Limits of accuracyExit ticket
- Bounds in calculationsLesson · Higher
- Exit ticket: Bounds in calculationsExit ticket
- Code breaker: boundsPuzzle
- Ramp up: upper and lower boundsWorksheet · Higher
- Upper and lower bounds: exam questionsExam questions
- Bounds and compound measuresProblem solving
- Revision mat: decimals and estimation, Higher ARevision mat · Higher
End of unit tests
- Number test: Foundation AEnd of unit test
- Number test: Foundation BEnd of unit test
- Indices and brackets test: Foundation AEnd of unit test
- Indices and brackets test: Foundation BEnd of unit test
- Number test: HigherEnd of unit test
- Factors, multiples and primes test: CoreEnd of unit test
- Factors, multiples and primes test: ExtensionEnd of unit test
- Indices, standard form and surds test: HigherEnd of unit test
- Standard form test: Foundation AEnd of unit test
- Standard form test: Foundation BEnd of unit test
- Indices and standard form test: CoreEnd of unit test
- Indices and standard form test: ExtensionEnd of unit test
- Number test: SupportEnd of unit test
- Fractions, decimals and percentages 1 test: CoreEnd of unit test
- Fractions, decimals and percentages 1 test: ExtensionEnd of unit test
- Decimals and estimation test: HigherEnd of unit test
- Fractions test: HigherEnd of unit test
- Percentages test: HigherEnd of unit test
- Decimals and rounding test: Foundation AEnd of unit test
- Fractions test: Foundation AEnd of unit test
- Percentages test: Foundation AEnd of unit test
- Using a calculator test: Foundation AEnd of unit test
- Decimals and rounding test: Foundation BEnd of unit test
- Fractions test: Foundation BEnd of unit test
- Percentages test: Foundation BEnd of unit test
- Using a calculator test: Foundation BEnd of unit test
- Fractions, decimals and percentages 2 test: CoreEnd of unit test
- Number test: CoreEnd of unit test
- Fractions, decimals and percentages 2 test: ExtensionEnd of unit test
- Number test: ExtensionEnd of unit test