UK primary maths curriculum: Years 1 to 6
Browse all 227 statutory mathematics requirements for maintained schools in England. Each reference shows the DfE wording and the ChalkBee worksheets and teaching units that can support it. A resource link means relevant support is available; it does not claim that one worksheet covers every clause in a requirement.
About the reference IDs
The DfE does not publish alphanumeric codes for these statements. IDs such as uk-ks2-y3-ma-npv-01 are stable ChalkBee references, not official curriculum codes.
Statutory wording: DfE programme of study. List structure cross-checked against the official primary mathematics PDF. Crown copyright information is reproduced under the Open Government Licence v3.0.
Worksheets + unit
227
statutory requirements
Worksheets only
0
statutory requirements
Unit only
0
statutory requirements
Resource gap
0
statutory requirements
Year 1
Key Stage 1 · 20 requirementsNumber - number and place value
count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given numberWorksheets + unitcount, read and write numbers to 100 in numerals; count in multiples of 2s, 5s and 10sWorksheets + unitgiven a number, identify 1 more and 1 lessWorksheets + unitidentify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, leastWorksheets + unitread and write numbers from 1 to 20 in numerals and wordsWorksheets + unit
Number - addition and subtraction
read, write and interpret mathematical statements involving addition (+), subtraction (−) and equals (=) signsWorksheets + unitrepresent and use number bonds and related subtraction facts within 20Worksheets + unitadd and subtract one-digit and two-digit numbers to 20, including 0Worksheets + unitsolve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? − 9Worksheets + unit
Number - multiplication and division
Number - fractions
Measurement
compare, describe and solve practical problems for:Worksheets + unitmeasure and begin to record the following:Worksheets + unitrecognise and know the value of different denominations of coins and notesWorksheets + unitsequence events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening]Worksheets + unitrecognise and use language relating to dates, including days of the week, weeks, months and yearsWorksheets + unittell the time to the hour and half past the hour and draw the hands on a clock face to show these timesWorksheets + unit
Geometry - properties of shapes
Geometry - position and direction
Year 2
Key Stage 1 · 34 requirementsNumber - number and place value
count in steps of 2, 3, and 5 from 0, and in 10s from any number, forward and backwardWorksheets + unitrecognise the place value of each digit in a two-digit number (10s, 1s)Worksheets + unitidentify, represent and estimate numbers using different representations, including the number lineWorksheets + unitcompare and order numbers from 0 up to 100; use <, > and = signsWorksheets + unitread and write numbers to at least 100 in numerals and in wordsWorksheets + unituse place value and number facts to solve problemsWorksheets + unit
Number - addition and subtraction
solve problems with addition and subtraction:Worksheets + unitrecall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100Worksheets + unitadd and subtract numbers using concrete objects, pictorial representations, and mentally, including:Worksheets + unitshow that addition of 2 numbers can be done in any order (commutative) and subtraction of 1 number from another cannotWorksheets + unitrecognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problemsWorksheets + unit
Number - multiplication and division
recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbersWorksheets + unitcalculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signsWorksheets + unitshow that multiplication of 2 numbers can be done in any order (commutative) and division of 1 number by another cannotWorksheets + unitsolve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contextsWorksheets + unit
Number - fractions
Measurement
choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vesselsWorksheets + unitcompare and order lengths, mass, volume/capacity and record the results using >, < and =Worksheets + unitrecognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular valueWorksheets + unitfind different combinations of coins that equal the same amounts of moneyWorksheets + unitsolve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving changeWorksheets + unitcompare and sequence intervals of timeWorksheets + unittell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these timesWorksheets + unitknow the number of minutes in an hour and the number of hours in a dayWorksheets + unit
Geometry - properties of shapes
identify and describe the properties of 2-D shapes, including the number of sides, and line symmetry in a vertical lineWorksheets + unitidentify and describe the properties of 3-D shapes, including the number of edges, vertices and facesWorksheets + unitidentify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]Worksheets + unitcompare and sort common 2-D and 3-D shapes and everyday objectsWorksheets + unit
Geometry - position and direction
order and arrange combinations of mathematical objects in patterns and sequencesWorksheets + unituse mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise)Worksheets + unit
Statistics
interpret and construct simple pictograms, tally charts, block diagrams and tablesWorksheets + unitask and answer simple questions by counting the number of objects in each category and sorting the categories by quantityWorksheets + unitask-and-answer questions about totalling and comparing categorical dataWorksheets + unit
Year 3
Key Stage 2 · 33 requirementsNumber - number and place value
count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given numberWorksheets + unitrecognise the place value of each digit in a 3-digit number (100s, 10s, 1s)Worksheets + unitcompare and order numbers up to 1,000Worksheets + unitidentify, represent and estimate numbers using different representationsWorksheets + unitread and write numbers up to 1,000 in numerals and in wordsWorksheets + unitsolve number problems and practical problems involving these ideasWorksheets + unit
Number - addition and subtraction
add and subtract numbers mentally, including:Worksheets + unitadd and subtract numbers with up to 3 digits, using formal written methods of columnar addition and subtractionWorksheets + unitestimate the answer to a calculation and use inverse operations to check answersWorksheets + unitsolve problems, including missing number problems, using number facts, place value, and more complex addition and subtractionWorksheets + unit
Number - multiplication and division
recall and use multiplication and division facts for the 3, 4 and 8 multiplication tablesWorksheets + unitwrite and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methodsWorksheets + unitsolve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objectsWorksheets + unit
Number - fractions
count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10Worksheets + unitrecognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominatorsWorksheets + unitrecognise and use fractions as numbers: unit fractions and non-unit fractions with small denominatorsWorksheets + unitrecognise and show, using diagrams, equivalent fractions with small denominatorsWorksheets + unitadd and subtract fractions with the same denominator within one whole [for example, 5/7+1/7 = 6/7]Worksheets + unitcompare and order unit fractions, and fractions with the same denominatorsWorksheets + unitsolve problems that involve all of the aboveWorksheets + unit
Measurement
measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)Worksheets + unitmeasure the perimeter of simple 2-D shapesWorksheets + unitadd and subtract amounts of money to give change, using both £ and p in practical contextsWorksheets + unittell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocksWorksheets + unitestimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, am/pm, morning, afternoon, noon and midnightWorksheets + unitknow the number of seconds in a minute and the number of days in each month, year and leap yearWorksheets + unitcompare durations of events [for example, to calculate the time taken by particular events or tasks]Worksheets + unit
Geometry - properties of shapes
draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe themWorksheets + unitrecognise angles as a property of shape or a description of a turnWorksheets + unitidentify right angles, recognise that 2 right angles make a half-turn, 3 make three-quarters of a turn and 4 a complete turn; identify whether angles are greater than or less than a right angleWorksheets + unitidentify horizontal and vertical lines and pairs of perpendicular and parallel linesWorksheets + unit
Year 4
Key Stage 2 · 42 requirementsNumber - number and place value
count in multiples of 6, 7, 9, 25 and 1,000Worksheets + unitfind 1,000 more or less than a given numberWorksheets + unitcount backwards through 0 to include negative numbersWorksheets + unitrecognise the place value of each digit in a four-digit number (1,000s, 100s, 10s, and 1s)Worksheets + unitorder and compare numbers beyond 1,000Worksheets + unitidentify, represent and estimate numbers using different representationsWorksheets + unitround any number to the nearest 10, 100 or 1,000Worksheets + unitsolve number and practical problems that involve all of the above and with increasingly large positive numbersWorksheets + unitread Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of 0 and place valueWorksheets + unit
Number - addition and subtraction
add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriateWorksheets + unitestimate and use inverse operations to check answers to a calculationWorksheets + unitsolve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and whyWorksheets + unit
Number - multiplication and division
recall multiplication and division facts for multiplication tables up to 12 × 12Worksheets + unituse place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbersWorksheets + unitrecognise and use factor pairs and commutativity in mental calculationsWorksheets + unitmultiply two-digit and three-digit numbers by a one-digit number using formal written layoutWorksheets + unitsolve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objectsWorksheets + unit
Number - fractions (including decimals)
recognise and show, using diagrams, families of common equivalent fractionsWorksheets + unitcount up and down in hundredths; recognise that hundredths arise when dividing an object by 100 and dividing tenths by 10Worksheets + unitsolve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole numberWorksheets + unitadd and subtract fractions with the same denominatorWorksheets + unitrecognise and write decimal equivalents of any number of tenths or hundredsWorksheets + unitrecognise and write decimal equivalents to 1/4, 1/2, 3/4Worksheets + unitfind the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredthsWorksheets + unitround decimals with 1 decimal place to the nearest whole numberWorksheets + unitcompare numbers with the same number of decimal places up to 2 decimal placesWorksheets + unitsolve simple measure and money problems involving fractions and decimals to 2 decimal placesWorksheets + unit
Measurement
convert between different units of measure [for example, kilometre to metre; hour to minute]Worksheets + unitmeasure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metresWorksheets + unitfind the area of rectilinear shapes by counting squaresWorksheets + unitestimate, compare and calculate different measures, including money in pounds and penceWorksheets + unitread, write and convert time between analogue and digital 12- and 24-hour clocksWorksheets + unitsolve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to daysWorksheets + unit
Geometry - properties of shapes
compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizesWorksheets + unitidentify acute and obtuse angles and compare and order angles up to 2 right angles by sizeWorksheets + unitidentify lines of symmetry in 2-D shapes presented in different orientationsWorksheets + unitcomplete a simple symmetric figure with respect to a specific line of symmetryWorksheets + unit
Geometry - position and direction
Year 5
Key Stage 2 · 49 requirementsNumber - number and place value
read, write, order and compare numbers to at least 1,000,000 and determine the value of each digitWorksheets + unitcount forwards or backwards in steps of powers of 10 for any given number up to 1,000,000Worksheets + unitinterpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0Worksheets + unitround any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000Worksheets + unitsolve number problems and practical problems that involve all of the aboveWorksheets + unitread Roman numerals to 1,000 (M) and recognise years written in Roman numeralsWorksheets + unit
Number - addition and subtraction
add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)Worksheets + unitadd and subtract numbers mentally with increasingly large numbersWorksheets + unituse rounding to check answers to calculations and determine, in the context of a problem, levels of accuracyWorksheets + unitsolve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and whyWorksheets + unit
Number - multiplication and division
identify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbersWorksheets + unitknow and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbersWorksheets + unitestablish whether a number up to 100 is prime and recall prime numbers up to 19Worksheets + unitmultiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbersWorksheets + unitmultiply and divide numbers mentally, drawing upon known factsWorksheets + unitdivide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the contextWorksheets + unitmultiply and divide whole numbers and those involving decimals by 10, 100 and 1,000Worksheets + unitrecognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)Worksheets + unitsolve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubesWorksheets + unitsolve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals signWorksheets + unitsolve problems involving multiplication and division, including scaling by simple fractions and problems involving simple ratesWorksheets + unit
Number - fractions (including decimals and percentages)
compare and order fractions whose denominators are all multiples of the same numberWorksheets + unitidentify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredthsWorksheets + unitrecognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5+4/5 = 6/5 = 1 1/5 ]Worksheets + unitadd and subtract fractions with the same denominator, and denominators that are multiples of the same numberWorksheets + unitmultiply proper fractions and mixed numbers by whole numbers, supported by materials and diagramsWorksheets + unitread and write decimal numbers as fractions [for example, 0.71 = 71/100 ]Worksheets + unitrecognise and use thousandths and relate them to tenths, hundredths and decimal equivalentsWorksheets + unitround decimals with 2 decimal places to the nearest whole number and to 1 decimal placeWorksheets + unitread, write, order and compare numbers with up to 3 decimal placesWorksheets + unitsolve problems involving number up to 3 decimal placesWorksheets + unitrecognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per 100’, and write percentages as a fraction with denominator 100, and as a decimal fractionWorksheets + unitsolve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple of 10 or 25Worksheets + unit
Measurement
convert between different units of metric measure [for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre]Worksheets + unitunderstand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pintsWorksheets + unitmeasure and calculate the perimeter of composite rectilinear shapes in centimetres and metresWorksheets + unitcalculate and compare the area of rectangles (including squares), including using standard units, square centimetres (cm²) and square metres (m²), and estimate the area of irregular shapesWorksheets + unitestimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]Worksheets + unitsolve problems involving converting between units of timeWorksheets + unituse all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scalingWorksheets + unit
Geometry - properties of shapes
identify 3-D shapes, including cubes and other cuboids, from 2-D representationsWorksheets + unitknow angles are measured in degrees: estimate and compare acute, obtuse and reflex anglesWorksheets + unitdraw given angles, and measure them in degrees (°)Worksheets + unitidentify:Worksheets + unituse the properties of rectangles to deduce related facts and find missing lengths and anglesWorksheets + unitdistinguish between regular and irregular polygons based on reasoning about equal sides and anglesWorksheets + unit
Geometry - position and direction
Year 6
Key Stage 2 · 49 requirementsNumber - number and place value
read, write, order and compare numbers up to 10,000,000 and determine the value of each digitWorksheets + unitround any whole number to a required degree of accuracyWorksheets + unituse negative numbers in context, and calculate intervals across 0Worksheets + unitsolve number and practical problems that involve all of the aboveWorksheets + unit
Number - addition, subtraction, multiplication and division
multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplicationWorksheets + unitdivide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the contextWorksheets + unitdivide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the contextWorksheets + unitperform mental calculations, including with mixed operations and large numbersWorksheets + unitidentify common factors, common multiples and prime numbersWorksheets + unituse their knowledge of the order of operations to carry out calculations involving the 4 operationsWorksheets + unitsolve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and whyWorksheets + unitsolve problems involving addition, subtraction, multiplication and divisionWorksheets + unituse estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracyWorksheets + unit
Number - Fractions (including decimals and percentages)
use common factors to simplify fractions; use common multiples to express fractions in the same denominationWorksheets + unitcompare and order fractions, including fractions >1Worksheets + unitadd and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractionsWorksheets + unitmultiply simple pairs of proper fractions, writing the answer in its simplest form [for example, 1/4 × 1/2 = 1/8]Worksheets + unitdivide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6]Worksheets + unitassociate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8]Worksheets + unitidentify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal placesWorksheets + unitmultiply one-digit numbers with up to 2 decimal places by whole numbersWorksheets + unituse written division methods in cases where the answer has up to 2 decimal placesWorksheets + unitsolve problems which require answers to be rounded to specified degrees of accuracyWorksheets + unitrecall and use equivalences between simple fractions, decimals and percentages, including in different contextsWorksheets + unit
Ratio and proportion
solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division factsWorksheets + unitsolve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparisonWorksheets + unitsolve problems involving similar shapes where the scale factor is known or can be foundWorksheets + unitsolve problems involving unequal sharing and grouping using knowledge of fractions and multiplesWorksheets + unit
Algebra
use simple formulaeWorksheets + unitgenerate and describe linear number sequencesWorksheets + unitexpress missing number problems algebraicallyWorksheets + unitfind pairs of numbers that satisfy an equation with 2 unknownsWorksheets + unitenumerate possibilities of combinations of 2 variablesWorksheets + unit
Measurement
solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriateWorksheets + unituse, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal placesWorksheets + unitconvert between miles and kilometresWorksheets + unitrecognise that shapes with the same areas can have different perimeters and vice versaWorksheets + unitrecognise when it is possible to use formulae for area and volume of shapesWorksheets + unitcalculate the area of parallelograms and trianglesWorksheets + unitcalculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³]Worksheets + unit
Geometry - properties of shapes
draw 2-D shapes using given dimensions and anglesWorksheets + unitrecognise, describe and build simple 3-D shapes, including making netsWorksheets + unitcompare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygonsWorksheets + unitillustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radiusWorksheets + unitrecognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing anglesWorksheets + unit