Year 5‎ > ‎

Y5 Mathematics

The National Curriculum for Mathematics in Year 5Hover over blue text to see non-statutory examples.

Ma5/2.1    Number & Place Value

Ma5/2.1a    read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit

Ma5/2.1b    count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000

Ma5/2.1c    interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0

Ma5/2.1d    round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000

Ma5/2.1e    solve number problems and practical problems that involve all of the above

Ma5/2.1f    read Roman numerals to 1,000 (M) and recognise years written in Roman numerals.


Ma5/2.2    Addition & Subtraction

Ma5/2.2a    add and subtract whole numbers with more than 4 digits,including using formal written methods (columnar addition and subtraction)

Ma5/2.2b    add and subtract numbers mentally with increasingly large numbers

Ma5/2.2c    use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy

Ma5/2.2d    solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.


Ma5/2.3    Multiplication & Division

Ma5/2.3a    identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.

Ma5/2.3b    know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers

Ma5/2.3c    establish whether a number up to 100 is prime and recall prime numbers up to 19

Ma5/2.3d    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 

Ma5/2.3e   multiply and divide numbers mentally drawing upon known facts

Ma5/2.3f    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

Ma5/2.3g    multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000

Ma5/2.3h    recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)

Ma5/2.3i    solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes

Ma5/2.3j    solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign

Ma5/2.3k    solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.


Ma5/2.4    Fractions (decimals & percentages)


Ma5/2.4a    compare and order fractions whose denominators are all multiples of the same number

Ma5/2.4b    identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

Ma5/2.4c    recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number

Ma5/2.4d    add and subtract fractions with the same denominator and denominators that are multiples of the same number

Ma5/2.4e    multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams

Ma5/2.4f    read and write decimal numbers as fractions

Ma5/2.4g    recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents

Ma5/2.4h    round decimals with 2 decimal places to the nearest whole number and to 1 decimal place

Ma5/2.4i    read, write, order and compare numbers with up to 3 decimal places

Ma5/2.4j    solve problems involving number up to 3 decimal places

Ma5/2.4k    recognise 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 fraction

Ma5/2.4l    solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and fractions with a denominator of a multiple of 10 or 25.


Ma5/3.1    Measurement

Ma5/3.1a    convert between different units of metric measure

Ma5/3.1b    understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints

Ma5/3.1c    measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres

Ma5/3.1d    calculate 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 shapes

Ma5/3.1e    estimate volume and capacity

Ma5/3.1f    solve problems involving converting between units of time

Ma5/3.1g    use all four operations to solve problems involving measure using decimal notation including scaling.


Ma5/3.2    Properties of Shape

Ma5/3.2a    identify 3-D shapes, including cubes and other cuboids, from 2-D representations

Ma5/3.2b    know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

Ma5/3.2c    draw given angles, and measure them in degrees (o)

Ma5/3.2d    identify:
  • angles at a point and 1 whole turn (total 360o)
  • angles at a point on a straight line and half a turn (total 180o)
  • other multiples of 90o

Ma5/3.2e    use the properties of rectangles to deduce related facts and find missing lengths and angles

Ma5/3.2f    distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

Ma5/3.3    Position & Direction

Ma5/3.3a    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.


Ma5/4.1    Statistics

Ma5/4.1a    solve comparison, sum and difference problems using information presented in a line graph

Ma5/4.1b    complete, read and interpret information in tables, including timetables.