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Year 5

Maths Badge Information

Have a look at our Calculation Policy to see how we teach addition, subtraction, multiplication and division in each year group.


In Year 5 we are taught to:


  • compare and order fractions whose denominators are all multiples of the same number
  • identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths


  • recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number (e.g. 2/5 + 4/5 = 6/5 = 1   1/5)


  • add and subtract fractions with the same denominator and multiples of the same number


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

How to convert fractions to the same denomination.

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How add fractions with different denominators.

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Perimeter and Area 

In Year 5 we are taught to:


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


  • 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

Perimeter - learner video

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In Year 5 the children are expected to:

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

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

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

  • 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

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

  • solve problems involving multiplication

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

Addition and Subtraction


In Year 5 we are taught to:

  • add and subtract whole numbers with more than 4 digits,

including using formal written methods (columnar addition and subtraction)


  • add and subtract numbers mentally with increasingly large numbers


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


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

Subtraction - learner video

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Addition - Learner Video

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