Maths worksheets for Years 3 to 6
Make a sheet
Choose a year, a unit and a step and get a brand-new sheet: new numbers, new pictures, new puzzles, with the answers in red in the same file. Print it, or download it as an editable Word file. Nothing is sent to a server: the sheet is made in your browser. The answers are worked out by code, not by a teacher, so please read them before you give a sheet out.
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How Make a sheet works
Every unit that has been rewritten for Make a sheet appears in the unit list for its year. These units are ready now; more are added year by year. Each step name opens its page with the ready-made Word files.
Year 3
Autumn: Place value
Represent numbers to 100Partition numbers to 100Number line to 100HundredsRepresent numbers to 1000Partition numbers to 1000Flexible partitioning of numbers to 1000Hundreds, tens and onesFind 1, 10 or 100 more or lessNumber line to 1000Estimate on a number line to 1000Compare numbers to 1000Order numbers to 1000Count in 50s
Year 4
Autumn: Place value
Represent numbers to 10,000Partition numbers to 10,000Find 1, 10, 100 and 1,000 more or lessEstimate on a number line to 10,000Compare and order numbers to 10,000Count backwards through zeroRoman numerals to 100Round to the nearest 10Round to the nearest 100Round to the nearest 1,000
Autumn: Addition and subtraction
Add and subtract 1s, 10s, 100s and 1,000sAdd two 4-digit numbers with no exchangeAdd two 4-digit numbers with one exchangeAdd two 4-digit numbers with more than one exchangeSubtract two 4-digit numbers with no exchangeSubtract two 4-digit numbers with one exchangeSubtract two 4-digit numbers with more than one exchangeEstimate and check answers
Autumn: Area
Autumn: Multiplication and division A
Multiples of 3Multiply and divide by 66 times-table and division factsMultiply and divide by 99 times-table and division factsThe 3, 6 and 9 times-tablesMultiply and divide by 77 times-table and division facts11 times-table and division facts12 times-table and division factsMultiply by 1 and 0Divide a number by 1 and itselfMultiply three numbers
Spring: Multiplication and division B
Identify and use factor pairsMultiply by 10Multiply by 100Divide by 10Divide by 100Informal methods of multiplicationMultiply a 2-digit number by a 1-digit numberMultiply a 3-digit number by a 1-digit numberDivide a 2-digit number by a 1-digit numberDivide a 2-digit number by a 1-digit number with remaindersDivide a 3-digit number by a 1-digit numberFormal division with no exchange and no remainderFormal division with no exchange and a remainderFormal division with one exchange and no remainderFormal division with two exchanges and no remainderFormal division with two exchanges and a remainderCorrespondence problems
Spring: Length and perimeter
Measure in kilometres and metresEquivalent lengths (kilometres and metres)Perimeter on a gridPerimeter of a rectanglePerimeter of rectilinear shapesFind missing lengths in rectilinear shapesCalculate the perimeter of rectilinear shapesPerimeter of regular polygonsPerimeter of polygons
Spring: Fractions
Understand the wholeCount beyond 1Partition a mixed numberNumber lines with mixed numbersCompare and order mixed numbersUnderstand improper fractionsConvert mixed numbers to improper fractionsConvert improper fractions to mixed numbersEquivalent fractions on a number lineEquivalent fraction familiesAdd two or more fractionsAdd fractions and mixed numbersSubtract two fractionsSubtract from whole amountsSubtract from mixed numbers
Spring: Decimals A
Tenths as fractionsTenths as decimalsTenths on a place value chartTenths on a number lineDivide a 1-digit number by 10Divide a 2-digit number by 10Hundredths as fractionsHundredths as decimalsHundredths on a place value chartDivide a 1- or 2-digit number by 100
Summer: Decimals B
Make a whole with tenthsMake a whole with hundredthsPartition decimalsFlexibly partition decimalsCompare decimalsOrder decimalsRound to the nearest whole numberHalves and quarters as decimals
Summer: Money
Write money using decimalsConvert between pounds and penceCompare amounts of moneyEstimate with moneyCalculate with moneySolve problems with money
Summer: Time
Years, months, weeks and daysHours, minutes and secondsConvert between analogue and digital timesConvert to the 24-hour clockConvert from the 24-hour clock
Summer: Shape
Understand angles as turnsIdentify anglesCompare and order anglesTrianglesQuadrilateralsPolygonsLines of symmetryComplete a symmetric figure
Summer: Statistics
Summer: Position and direction
Describe position using coordinatesPlot coordinatesDraw 2-D shapes on a gridTranslate on a gridDescribe translation on a grid
Year 5
Autumn: Place value
Roman numerals up to 1,000Numbers up to 10,000Numbers up to 100,000Numbers up to 1,000,000Reading and writing numbers up to 1,000,000Powers of 10Finding 10, 100, 1,000, 10,000 and 100,000 more or lessPartitioning numbers up to 1,000,000Number lines up to 1,000,000Comparing and ordering numbers up to 100,000Comparing and ordering numbers up to 1,000,000Rounding to the nearest 10, 100 or 1,000Rounding within 100,000Rounding within 1,000,000
Autumn: Addition and subtraction
Mental strategiesAdding large whole numbersSubtracting large whole numbersRounding to check answersInverse operationsMulti-step addition and subtraction problemsComparing calculationsFinding missing numbers
Autumn: Multiplication and division A
MultiplesCommon multiplesFactorsCommon factorsPrime numbersSquare numbersCube numbersMultiplying by 10, 100 and 1,000Dividing by 10, 100 and 1,000Multiples of 10, 100 and 1,000
Autumn: Fractions A
Fractions equivalent to a unit fractionFractions equivalent to a non-unit fractionRecognising equivalent fractionsConverting improper fractions to mixed numbersConverting mixed numbers to improper fractionsComparing fractions less than 1Ordering fractions less than 1Comparing and ordering fractions greater than 1Adding and subtracting fractions with the same denominatorAdding fractions within 1Adding fractions with a total greater than 1Adding to a mixed numberAdding two mixed numbersSubtracting fractionsSubtracting from a mixed numberSubtracting from a mixed number (breaking the whole)Subtracting two mixed numbers
Spring: Multiplication and division B
Multiplying up to 4 digits by 1 digitMultiplying 2 digits by 2 digits (area model)Multiplying 2 digits by 2 digitsMultiplying 3 digits by 2 digitsMultiplying 4 digits by 2 digitsMultiplication problemsShort divisionDividing 4 digits by 1 digitDividing with remaindersEfficient divisionMultiplication and division problems
Spring: Fractions B
Multiplying a unit fraction by an integerMultiplying a non-unit fraction by an integerMultiplying a mixed number by an integerCalculating a fraction of a quantityFinding a fraction of an amountFinding the wholeUsing fractions as operators
Spring: Decimals and percentages
Decimals up to 2 decimal placesEquivalent fractions and decimals (tenths)Equivalent fractions and decimals (hundredths)Equivalent fractions and decimals (halves, quarters and fifths)Thousandths as fractionsThousandths as decimalsThousandths on a place value chartOrder and compare decimals (same number of decimal places)Order and compare any decimals with up to 3 decimal placesRound to the nearest whole numberRound to 1 decimal placeUnderstand percentagesPercentages as fractionsPercentages as decimalsEquivalent fractions, decimals and percentages
Spring: Perimeter and area
Perimeter of rectanglesPerimeter of rectilinear shapesPerimeter of polygonsArea of rectanglesArea of compound shapesEstimate area
Spring: Statistics
Draw line graphsRead and interpret line graphsRead and interpret tablesTwo-way tablesRead and interpret timetables
Summer: Shape
Understand and use degreesClassify anglesEstimate anglesMeasure angles up to 180 degreesDraw lines and angles accuratelyCalculate angles around a pointCalculate angles on a straight lineLengths and angles in shapesRegular and irregular polygons3-D shapes
Summer: Position and direction
Read and plot coordinatesProblem solving with coordinatesTranslationTranslation with coordinatesLines of symmetryReflection in horizontal and vertical lines
Summer: Decimals
Use known facts to add and subtract decimals within 1Complements to 1Add and subtract decimals across 1Add decimals with the same number of decimal placesSubtract decimals with the same number of decimal placesAdd decimals with different numbers of decimal placesSubtract decimals with different numbers of decimal placesEfficient strategies for adding and subtracting decimalsDecimal sequencesMultiply by 10, 100 and 1,000Divide by 10, 100 and 1,000Multiply and divide decimals - missing values
Summer: Negative numbers
Understand negative numbersCount through zero in 1sCount through zero in multiplesCompare and order negative numbersFind the difference
Summer: Converting units
Kilograms and kilometresMillimetres and millilitresConvert units of lengthConvert between metric and imperial unitsConvert units of timeCalculate with timetables
Summer: Volume
Year 6
Autumn: Place value
Numbers up to 1,000,000Numbers up to 10,000,000Reading and writing numbers up to 10,000,000Powers of 10Number lines up to 10,000,000Comparing and ordering integersRounding integersNegative numbers
Autumn: Addition, subtraction, multiplication and division
Adding and subtracting integersCommon factorsCommon multiplesDivisibility rulesPrime numbers to 100Square and cube numbersMultiplying up to 4 digits by 2 digitsMultiplication problemsShort divisionDividing using factorsStarting long divisionLong division with remaindersDivision problemsMulti-step problemsOrder of operationsMental calculation and estimationUsing known facts
Autumn: Fractions A
Equivalent fractions and simplifyingEquivalent fractions on a number lineComparing and ordering fractions (denominators)Comparing and ordering fractions (numerators)Adding and subtracting simple fractionsAdding and subtracting any two fractionsAdding mixed numbersSubtracting mixed numbersFraction problems with several steps
Autumn: Fractions B
Multiplying fractions by whole numbersMultiplying fractions by fractionsDividing a fraction by a whole numberDividing any fraction by a whole numberMixed fraction questionsFinding a fraction of an amountFinding the whole from a fraction of an amount
Autumn: Converting units
Spring: Ratio
Choosing to add or multiplyRatio languageThe ratio symbolRatio and fractionsScale drawingsUsing scale factorsSimilar shapesRatio problemsProportion problemsRecipes and scaling
Spring: Algebra
One-step function machinesTwo-step function machinesForming expressionsSubstitutionUsing formulaeForming equationsSolving one-step equationsSolving two-step equationsFinding pairs of valuesProblems with two unknowns
Spring: Decimals
Decimals within 1Place value with whole numbers and decimalsRounding decimalsAdding and subtracting decimalsMultiplying by 10, 100 and 1,000Dividing by 10, 100 and 1,000Multiplying decimals by whole numbersDividing decimals by whole numbersDecimals in context
Spring: Fractions, decimals and percentages
Decimal and fraction equivalentsFractions as divisionUnderstanding percentagesFractions to percentagesEquivalent fractions, decimals and percentagesOrdering fractions, decimals and percentagesPercentage of an amount: one stepPercentage of an amount: multi-stepPercentages with missing values
Spring: Area, perimeter and volume
Shapes with the same areaArea and perimeterArea of a triangle: counting squaresArea of a right-angled triangleArea of any triangleArea of a parallelogramVolume: counting cubesVolume of a cuboid
Spring: Statistics
Summer: Shape
Measuring and classifying anglesCalculating anglesVertically opposite anglesAngles in a triangleAngles in special trianglesMissing angles in trianglesAngles in quadrilateralsAngles in polygonsCirclesDrawing shapes accuratelyNets of 3-D shapes
Summer: Position and direction
The first quadrantReading and plotting points in four quadrantsProblems with coordinatesTranslationsReflections
Each sheet has eight fluency questions that start easy and get harder, then six reasoning questions with pictures, tables, number lines and Boba characters in speech bubbles.
Every question is written by a program from the numbers it picks, and every answer is worked out by the same program, never typed by hand. A second, separate program works out all the answers again for thousands of sheets, and checks things such as “this clue puzzle has exactly one answer” and “this arrow really is on that number”. The sheets have not been checked by a class teacher yet, so please read the answers before you give them out.
The Word file opens in Word, Google Docs, Pages and LibreOffice, so you can change a number, delete a question or add your own. The answers are in red, after the questions, in the same file.