Curriculum (United Kingdom)

Year 6 Maths

Year 6 maths according to the national curriculum in England: long division, order of operations, all four operations with fractions, ratio and percentages, simple algebra, area of triangles and parallelograms, volume, four-quadrant coordinates and the mean. Every topic comes with ready-made task templates for printable worksheets.

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What does a child learn in Year 6 maths?

Year 6 closes primary school: a child divides by two-digit numbers, uses the order of operations, simplifies, adds, multiplies and divides fractions, and moves freely between fractions, decimals and percentages. Ratio and proportion and simple algebra arrive. The child calculates the area of triangles and parallelograms and the volume of cuboids, finds missing angles, uses all four quadrants of the coordinate grid and calculates the mean.

About the national curriculum: the programmes of study for mathematics set out what pupils should be taught in each year of key stages 1 and 2, so every skill below sits in the year the curriculum itself names. The full list of statutory requirements for this year, quoted word for word, is in the section below.

Curriculum scope

Y6.NPV (our numbering) · Teaching content · checked against the act

Number – number and place value

National Curriculum in England (2013), mathematics, Year 6, Number – number and place value
Y6.NPV.1 (our numbering) · Teaching content · checked against the act

read, write, order and compare numbers up to 10 000 000 and determine the value of each digit

National Curriculum in England (2013), mathematics, Year 6, Number – number and place value, statutory requirement Y6.NPV.1
Y6.NPV.2 (our numbering) · Teaching content · checked against the act

round any whole number to a required degree of accuracy

National Curriculum in England (2013), mathematics, Year 6, Number – number and place value, statutory requirement Y6.NPV.2
Y6.NPV.3 (our numbering) · Teaching content · checked against the act

use negative numbers in context, and calculate intervals across zero

National Curriculum in England (2013), mathematics, Year 6, Number – number and place value, statutory requirement Y6.NPV.3
Y6.NPV.4 (our numbering) · Teaching content · checked against the act

solve number and practical problems that involve all of the above.

National Curriculum in England (2013), mathematics, Year 6, Number – number and place value, statutory requirement Y6.NPV.4
Y6.ASMD (our numbering) · Teaching content · checked against the act

Number – addition, subtraction, multiplication and division

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division
Y6.ASMD.1 (our numbering) · Teaching content · checked against the act

multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division, statutory requirement Y6.ASMD.1
Y6.ASMD.2 (our numbering) · Teaching content · checked against the act

divide 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 context

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division, statutory requirement Y6.ASMD.2
Y6.ASMD.3 (our numbering) · Teaching content · checked against the act

divide 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 context

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division, statutory requirement Y6.ASMD.3
Y6.ASMD.4 (our numbering) · Teaching content · checked against the act

perform mental calculations, including with mixed operations and large numbers

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division, statutory requirement Y6.ASMD.4
Y6.ASMD.5 (our numbering) · Teaching content · checked against the act

identify common factors, common multiples and prime numbers

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division, statutory requirement Y6.ASMD.5
Y6.ASMD.6 (our numbering) · Teaching content · checked against the act

use their knowledge of the order of operations to carry out calculations involving the four operations

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division, statutory requirement Y6.ASMD.6
Y6.ASMD.7 (our numbering) · Teaching content · checked against the act

solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division, statutory requirement Y6.ASMD.7
Y6.ASMD.8 (our numbering) · Teaching content · checked against the act

solve problems involving addition, subtraction, multiplication and division

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division, statutory requirement Y6.ASMD.8
Y6.ASMD.9 (our numbering) · Teaching content · checked against the act

use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

National Curriculum in England (2013), mathematics, Year 6, Number – addition, subtraction, multiplication and division, statutory requirement Y6.ASMD.9
Y6.F (our numbering) · Teaching content · checked against the act

Number – fractions (including decimals and percentages)

National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages)
Y6.F.1 (our numbering) · Teaching content · checked against the act

use common factors to simplify fractions; use common multiples to express fractions in the same denomination

National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.1
Y6.F.2 (our numbering) · Teaching content · checked against the act

compare and order fractions, including fractions > 1

National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.2
Y6.F.3 (our numbering) · Teaching content · checked against the act

add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions

National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.3
Y6.F.4 (our numbering) · Teaching content

multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, 1/4 × 1/2 = 1/8]

our summary of the point · National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.4
Y6.F.5 (our numbering) · Teaching content

divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6]

our summary of the point · National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.5
Y6.F.6 (our numbering) · Teaching content

associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8]

our summary of the point · National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.6
Y6.F.7 (our numbering) · Teaching content · checked against the act

identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places

National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.7
Y6.F.8 (our numbering) · Teaching content · checked against the act

multiply one-digit numbers with up to two decimal places by whole numbers

National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.8
Y6.F.9 (our numbering) · Teaching content · checked against the act

use written division methods in cases where the answer has up to two decimal places

National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.9
Y6.F.10 (our numbering) · Teaching content · checked against the act

solve problems which require answers to be rounded to specified degrees of accuracy

National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.10
Y6.F.11 (our numbering) · Teaching content · checked against the act

recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

National Curriculum in England (2013), mathematics, Year 6, Number – fractions (including decimals and percentages), statutory requirement Y6.F.11
Y6.R (our numbering) · Teaching content · checked against the act

Ratio and proportion

National Curriculum in England (2013), mathematics, Year 6, Ratio and proportion
Y6.R.1 (our numbering) · Teaching content · checked against the act

solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts

National Curriculum in England (2013), mathematics, Year 6, Ratio and proportion, statutory requirement Y6.R.1
Y6.R.2 (our numbering) · Teaching content · checked against the act

solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison

National Curriculum in England (2013), mathematics, Year 6, Ratio and proportion, statutory requirement Y6.R.2
Y6.R.3 (our numbering) · Teaching content · checked against the act

solve problems involving similar shapes where the scale factor is known or can be found

National Curriculum in England (2013), mathematics, Year 6, Ratio and proportion, statutory requirement Y6.R.3
Y6.R.4 (our numbering) · Teaching content · checked against the act

solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

National Curriculum in England (2013), mathematics, Year 6, Ratio and proportion, statutory requirement Y6.R.4
Y6.A (our numbering) · Teaching content · checked against the act

Algebra

National Curriculum in England (2013), mathematics, Year 6, Algebra
Y6.A.1 (our numbering) · Teaching content · checked against the act

use simple formulae

National Curriculum in England (2013), mathematics, Year 6, Algebra, statutory requirement Y6.A.1
Y6.A.2 (our numbering) · Teaching content · checked against the act

generate and describe linear number sequences

National Curriculum in England (2013), mathematics, Year 6, Algebra, statutory requirement Y6.A.2
Y6.A.3 (our numbering) · Teaching content · checked against the act

express missing number problems algebraically

National Curriculum in England (2013), mathematics, Year 6, Algebra, statutory requirement Y6.A.3
Y6.A.4 (our numbering) · Teaching content · checked against the act

find pairs of numbers that satisfy an equation with two unknowns

National Curriculum in England (2013), mathematics, Year 6, Algebra, statutory requirement Y6.A.4
Y6.A.5 (our numbering) · Teaching content · checked against the act

enumerate possibilities of combinations of two variables.

National Curriculum in England (2013), mathematics, Year 6, Algebra, statutory requirement Y6.A.5
Y6.M (our numbering) · Teaching content · checked against the act

Measurement

National Curriculum in England (2013), mathematics, Year 6, Measurement
Y6.M.1 (our numbering) · Teaching content · checked against the act

solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate

National Curriculum in England (2013), mathematics, Year 6, Measurement, statutory requirement Y6.M.1
Y6.M.2 (our numbering) · Teaching content · checked against the act

use, 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 three decimal places

National Curriculum in England (2013), mathematics, Year 6, Measurement, statutory requirement Y6.M.2
Y6.M.3 (our numbering) · Teaching content · checked against the act

convert between miles and kilometres

National Curriculum in England (2013), mathematics, Year 6, Measurement, statutory requirement Y6.M.3
Y6.M.4 (our numbering) · Teaching content · checked against the act

recognise that shapes with the same areas can have different perimeters and vice versa

National Curriculum in England (2013), mathematics, Year 6, Measurement, statutory requirement Y6.M.4
Y6.M.5 (our numbering) · Teaching content · checked against the act

recognise when it is possible to use formulae for area and volume of shapes

National Curriculum in England (2013), mathematics, Year 6, Measurement, statutory requirement Y6.M.5
Y6.M.6 (our numbering) · Teaching content · checked against the act

calculate the area of parallelograms and triangles

National Curriculum in England (2013), mathematics, Year 6, Measurement, statutory requirement Y6.M.6
Y6.M.7 (our numbering) · Teaching content

calculate, 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].

our summary of the point · National Curriculum in England (2013), mathematics, Year 6, Measurement, statutory requirement Y6.M.7
Y6.GPS (our numbering) · Teaching content · checked against the act

Geometry – properties of shapes

National Curriculum in England (2013), mathematics, Year 6, Geometry – properties of shapes
Y6.GPS.1 (our numbering) · Teaching content · checked against the act

draw 2-D shapes using given dimensions and angles

National Curriculum in England (2013), mathematics, Year 6, Geometry – properties of shapes, statutory requirement Y6.GPS.1
Y6.GPS.2 (our numbering) · Teaching content · checked against the act

recognise, describe and build simple 3-D shapes, including making nets

National Curriculum in England (2013), mathematics, Year 6, Geometry – properties of shapes, statutory requirement Y6.GPS.2
Y6.GPS.3 (our numbering) · Teaching content · checked against the act

compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons

National Curriculum in England (2013), mathematics, Year 6, Geometry – properties of shapes, statutory requirement Y6.GPS.3
Y6.GPS.4 (our numbering) · Teaching content · checked against the act

illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius

National Curriculum in England (2013), mathematics, Year 6, Geometry – properties of shapes, statutory requirement Y6.GPS.4
Y6.GPS.5 (our numbering) · Teaching content · checked against the act

recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

National Curriculum in England (2013), mathematics, Year 6, Geometry – properties of shapes, statutory requirement Y6.GPS.5
Y6.GPD (our numbering) · Teaching content · checked against the act

Geometry – position and direction

National Curriculum in England (2013), mathematics, Year 6, Geometry – position and direction
Y6.GPD.1 (our numbering) · Teaching content · checked against the act

describe positions on the full coordinate grid (all four quadrants)

National Curriculum in England (2013), mathematics, Year 6, Geometry – position and direction, statutory requirement Y6.GPD.1
Y6.GPD.2 (our numbering) · Teaching content · checked against the act

draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

National Curriculum in England (2013), mathematics, Year 6, Geometry – position and direction, statutory requirement Y6.GPD.2
Y6.S (our numbering) · Teaching content · checked against the act

Statistics

National Curriculum in England (2013), mathematics, Year 6, Statistics
Y6.S.1 (our numbering) · Teaching content · checked against the act

interpret and construct pie charts and line graphs and use these to solve problems

National Curriculum in England (2013), mathematics, Year 6, Statistics, statutory requirement Y6.S.1
Y6.S.2 (our numbering) · Teaching content · checked against the act

calculate and interpret the mean as an average.

National Curriculum in England (2013), mathematics, Year 6, Statistics, statutory requirement Y6.S.2

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