Curriculum (United Kingdom)

Year 5 Maths

Year 5 maths according to the national curriculum in England: numbers to a million, factors, primes, square and cube numbers, long multiplication, short division, fractions and mixed numbers, decimals to thousandths, percentages and angles in degrees. Every topic comes with ready-made task templates for printable worksheets.

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What does a child learn in Year 5 maths?

In Year 5 a child reads and rounds numbers up to 1 000 000, finds factors and multiples, recognises prime, square and cube numbers, and uses long multiplication and short division. Fractions are compared, added and multiplied by whole numbers; mixed numbers and thousandths appear, together with the per cent sign. The child converts metric units, finds the area of rectangles, measures angles in degrees and reads line graphs and timetables.

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

Y5.NPV (our numbering) · Teaching content · checked against the act

Number – number and place value

National Curriculum in England (2013), mathematics, Year 5, Number – number and place value
Y5.NPV.1 (our numbering) · Teaching content · checked against the act

read, write, order and compare numbers to at least 1 000 000 and determine the value of each digit

National Curriculum in England (2013), mathematics, Year 5, Number – number and place value, statutory requirement Y5.NPV.1
Y5.NPV.2 (our numbering) · Teaching content · checked against the act

count forwards or backwards in steps of powers of 10 for any given number up to 1 000 000

National Curriculum in England (2013), mathematics, Year 5, Number – number and place value, statutory requirement Y5.NPV.2
Y5.NPV.3 (our numbering) · Teaching content · checked against the act

interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero

National Curriculum in England (2013), mathematics, Year 5, Number – number and place value, statutory requirement Y5.NPV.3
Y5.NPV.4 (our numbering) · Teaching content · checked against the act

round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000 and 100 000

National Curriculum in England (2013), mathematics, Year 5, Number – number and place value, statutory requirement Y5.NPV.4
Y5.NPV.5 (our numbering) · Teaching content · checked against the act

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

National Curriculum in England (2013), mathematics, Year 5, Number – number and place value, statutory requirement Y5.NPV.5
Y5.NPV.6 (our numbering) · Teaching content · checked against the act

read Roman numerals to 1000 (M) and recognise years written in Roman numerals.

National Curriculum in England (2013), mathematics, Year 5, Number – number and place value, statutory requirement Y5.NPV.6
Y5.AS (our numbering) · Teaching content · checked against the act

Number – addition and subtraction

National Curriculum in England (2013), mathematics, Year 5, Number – addition and subtraction
Y5.AS.1 (our numbering) · Teaching content · checked against the act

add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)

National Curriculum in England (2013), mathematics, Year 5, Number – addition and subtraction, statutory requirement Y5.AS.1
Y5.AS.2 (our numbering) · Teaching content · checked against the act

add and subtract numbers mentally with increasingly large numbers

National Curriculum in England (2013), mathematics, Year 5, Number – addition and subtraction, statutory requirement Y5.AS.2
Y5.AS.3 (our numbering) · Teaching content · checked against the act

use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy

National Curriculum in England (2013), mathematics, Year 5, Number – addition and subtraction, statutory requirement Y5.AS.3
Y5.AS.4 (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 5, Number – addition and subtraction, statutory requirement Y5.AS.4
Y5.MD (our numbering) · Teaching content · checked against the act

Number – multiplication and division

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division
Y5.MD.1 (our numbering) · Teaching content · checked against the act

identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.1
Y5.MD.2 (our numbering) · Teaching content · checked against the act

know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.2
Y5.MD.3 (our numbering) · Teaching content · checked against the act

establish whether a number up to 100 is prime and recall prime numbers up to 19

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.3
Y5.MD.4 (our numbering) · Teaching content · checked against the act

multiply numbers up to 4 digits by a one-or two-digit number using a formal written method, including long multiplication for two-digit numbers

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.4
Y5.MD.5 (our numbering) · Teaching content · checked against the act

multiply and divide numbers mentally drawing upon known facts

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.5
Y5.MD.6 (our numbering) · Teaching content · checked against the act

divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.6
Y5.MD.7 (our numbering) · Teaching content · checked against the act

multiply and divide whole numbers and those involving decimals by 10, 100 and 1000

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.7
Y5.MD.8 (our numbering) · Teaching content

recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.8
Y5.MD.9 (our numbering) · Teaching content · checked against the act

solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.9
Y5.MD.10 (our numbering) · Teaching content · checked against the act

solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.10
Y5.MD.11 (our numbering) · Teaching content · checked against the act

solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.

National Curriculum in England (2013), mathematics, Year 5, Number – multiplication and division, statutory requirement Y5.MD.11
Y5.F (our numbering) · Teaching content · checked against the act

Number – fractions (including decimals and percentages)

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages)
Y5.F.1 (our numbering) · Teaching content · checked against the act

compare and order fractions whose denominators are all multiples of the same number

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.1
Y5.F.2 (our numbering) · Teaching content · checked against the act

identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.2
Y5.F.3 (our numbering) · Teaching content

recognise 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]

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.3
Y5.F.4 (our numbering) · Teaching content · checked against the act

add and subtract fractions with the same denominator and denominators that are multiples of the same number

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.4
Y5.F.5 (our numbering) · Teaching content · checked against the act

multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.5
Y5.F.6 (our numbering) · Teaching content

read and write decimal numbers as fractions [for example, 0.71 = 71/100]

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.6
Y5.F.7 (our numbering) · Teaching content · checked against the act

recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.7
Y5.F.8 (our numbering) · Teaching content · checked against the act

round decimals with two decimal places to the nearest whole number and to one decimal place

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.8
Y5.F.9 (our numbering) · Teaching content · checked against the act

read, write, order and compare numbers with up to three decimal places

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.9
Y5.F.10 (our numbering) · Teaching content · checked against the act

solve problems involving number up to three decimal places

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.10
Y5.F.11 (our numbering) · Teaching content · checked against the act

recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal

National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.11
Y5.F.12 (our numbering) · Teaching content

solve 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 25.

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Number – fractions (including decimals and percentages), statutory requirement Y5.F.12
Y5.M (our numbering) · Teaching content · checked against the act

Measurement

National Curriculum in England (2013), mathematics, Year 5, Measurement
Y5.M.1 (our numbering) · Teaching content · checked against the act

convert between different units of metric measure (for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre)

National Curriculum in England (2013), mathematics, Year 5, Measurement, statutory requirement Y5.M.1
Y5.M.2 (our numbering) · Teaching content · checked against the act

understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints

National Curriculum in England (2013), mathematics, Year 5, Measurement, statutory requirement Y5.M.2
Y5.M.3 (our numbering) · Teaching content · checked against the act

measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres

National Curriculum in England (2013), mathematics, Year 5, Measurement, statutory requirement Y5.M.3
Y5.M.4 (our numbering) · Teaching content

calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Measurement, statutory requirement Y5.M.4
Y5.M.5 (our numbering) · Teaching content

estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Measurement, statutory requirement Y5.M.5
Y5.M.6 (our numbering) · Teaching content · checked against the act

solve problems involving converting between units of time

National Curriculum in England (2013), mathematics, Year 5, Measurement, statutory requirement Y5.M.6
Y5.M.7 (our numbering) · Teaching content · checked against the act

use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling.

National Curriculum in England (2013), mathematics, Year 5, Measurement, statutory requirement Y5.M.7
Y5.GPS (our numbering) · Teaching content · checked against the act

Geometry – properties of shapes

National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes
Y5.GPS.1 (our numbering) · Teaching content · checked against the act

identify 3-D shapes, including cubes and other cuboids, from 2-D representations

National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes, statutory requirement Y5.GPS.1
Y5.GPS.2 (our numbering) · Teaching content · checked against the act

know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes, statutory requirement Y5.GPS.2
Y5.GPS.3 (our numbering) · Teaching content

draw given angles, and measure them in degrees (°)

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes, statutory requirement Y5.GPS.3
Y5.GPS.4 (our numbering) · Teaching content · checked against the act

identify:

National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes, statutory requirement Y5.GPS.4
Y5.GPS.5 (our numbering) · Teaching content · checked against the act

use the properties of rectangles to deduce related facts and find missing lengths and angles

National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes, statutory requirement Y5.GPS.5
Y5.GPS.6 (our numbering) · Teaching content · checked against the act

distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes, statutory requirement Y5.GPS.6
Y5.GPS.4.a (our numbering) · Teaching content

angles at a point and one whole turn (total 360°)

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes, statutory requirement Y5.GPS.4.a
Y5.GPS.4.b (our numbering) · Teaching content

angles at a point on a straight line and ½ a turn (total 180°)

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes, statutory requirement Y5.GPS.4.b
Y5.GPS.4.c (our numbering) · Teaching content

other multiples of 90°

our summary of the point · National Curriculum in England (2013), mathematics, Year 5, Geometry – properties of shapes, statutory requirement Y5.GPS.4.c
Y5.GPD (our numbering) · Teaching content · checked against the act

Geometry – position and direction

National Curriculum in England (2013), mathematics, Year 5, Geometry – position and direction
Y5.GPD.1 (our numbering) · Teaching content · checked against the act

identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed.

National Curriculum in England (2013), mathematics, Year 5, Geometry – position and direction, statutory requirement Y5.GPD.1
Y5.S (our numbering) · Teaching content · checked against the act

Statistics

National Curriculum in England (2013), mathematics, Year 5, Statistics
Y5.S.1 (our numbering) · Teaching content · checked against the act

solve comparison, sum and difference problems using information presented in a line graph

National Curriculum in England (2013), mathematics, Year 5, Statistics, statutory requirement Y5.S.1
Y5.S.2 (our numbering) · Teaching content · checked against the act

complete, read and interpret information in tables, including timetables.

National Curriculum in England (2013), mathematics, Year 5, Statistics, statutory requirement Y5.S.2

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