# Year 5 maths

Here is a list of all of the maths skills students learn in year 5! These skills are organised into categories, and you can move your mouse over any skill name to view a sample question. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

## Number sense

## Addition

- B.1Add numbers up to five digits
- B.2Add numbers up to five digits: word problems
- B.3Addition: fill in the missing digits
- B.4Properties of addition
- B.5Add three or more numbers up to five digits each
- B.6Addition patterns over increasing place values
- B.7Choose numbers with a particular sum
- B.8Estimate sums
- B.9Estimate sums: word problems

## Subtraction

## Multiplication

- D.1Multiplication facts to 10
- D.2Choose the multiples of a given number up to 12
- D.3Multiply 1-digit numbers by 2-digit numbers
- D.4Multiply 1-digit numbers by 3-digit or 4-digit numbers
- D.5Multiply 1-digit numbers by larger numbers
- D.6Multiplication patterns over increasing place values
- D.7Properties of multiplication
- D.8Estimate products - multiply by 1-digit numbers
- D.9Estimate products - multiply by larger numbers
- D.10Estimate products: word problems
- D.11Box multiplication
- D.12Lattice multiplication
- D.13Multiply a two-digit number by a two-digit number: complete the missing steps
- D.14Multiply a two-digit number by a two-digit number
- D.15Multiply a two-digit number by a two-digit number: word problems
- D.16Choose numbers with a particular product
- D.17Multiply numbers ending in zeroes
- D.18Multiply numbers ending in zeroes: word problems
- D.19Multiply three numbers
- D.20Multiply three or more numbers: word problems
- D.21Inequalities with multiplication

## Division

- E.1Division facts to 10
- E.2Division facts to 10: word problems
- E.3Properties of division
- E.4Divide larger numbers
- E.5Divide larger numbers: word problems
- E.6Complete the division table
- E.7Interpret remainders
- E.8Choose numbers with a particular quotient
- E.9Divide numbers ending in zeroes
- E.10Estimate quotients
- E.11Estimate quotients: word problems
- E.12Divisibility rules
- E.13Divisibility rules: word problems
- E.14Division patterns over increasing place values
- E.15Divide numbers ending in zeroes, multi-digit divisors
- E.16Divide numbers ending in zeroes, multi-digit divisors: word problems
- E.17Inequalities with division

## Mixed operations

- F.1Add, subtract, multiply and divide
- F.2Addition, subtraction, multiplication and division word problems
- F.3Estimate sums, differences, products and quotients: word problems
- F.4Multi-step word problems
- F.5Word problems with extra or missing information
- F.6Solve word problems using guess-and-check
- F.7Choose numbers with a particular sum, difference, product or quotient
- F.8Mentally add and subtract numbers ending in zeroes
- F.9Inequalities involving addition, subtraction, multiplication and division

## Functions

## Coordinate plane

## Data and graphs

## Logical reasoning

## Patterns and sequences

## Money

## Measurement

- N.1Choose the appropriate metric unit of measure
- N.2Compare and convert metric units of length
- N.3Compare and convert metric units of mass
- N.4Compare and convert metric units of volume
- N.5Metric mixed units
- N.6Choose the appropriate imperial unit of measure
- N.7Compare and convert imperial units of length
- N.8Compare and convert imperial units of weight
- N.9Compare and convert imperial units of volume
- N.10Imperial mixed units
- N.11Convert between metric and imperial units

## Time

- O.1Convert time units
- O.2Add and subtract mixed time units
- O.3Fractions of time units
- O.4Elapsed time
- O.5Find start and end times: multi-step word problems
- O.6Convert between 12-hour and 24-hour time
- O.7Time zones - 12-hour time
- O.8Time zones - 24-hour time
- O.9Transportation schedules - 12-hour time
- O.10Transportation schedules - 24-hour time
- O.11Time patterns

## Geometry

- P.1Identify planar and solid figures
- P.2Types of triangles
- P.3Open and closed shapes and qualities of polygons
- P.4Which 2-dimensional shape is being described?
- P.5Which 3-dimensional figure is being described?
- P.6Number of sides in polygons
- P.7Count and compare sides, edges, faces and vertices
- P.8Similar and congruent
- P.9Nets of 3-dimensional figures
- P.10Acute, right, obtuse and straight angles
- P.11Perimeter
- P.12Area of figures made of unit squares
- P.13Create figures with a given area
- P.14Area of squares and rectangles
- P.15Area of complex figures (with all right angles)
- P.16Area between two rectangles
- P.17Volume
- P.18Use area and perimeter to determine cost
- P.19Lines of symmetry
- P.20Rotational symmetry
- P.21Lines, line segments and rays
- P.22Parallel, perpendicular, intersecting

## Fractions and mixed numbers

- Q.1Fractions review
- Q.2Understanding fractions: word problems
- Q.3Find equivalent fractions using area models
- Q.4Graph equivalent fractions on number lines
- Q.5Equivalent fractions
- Q.6Patterns of equivalent fractions
- Q.7Reduce fractions to lowest terms
- Q.8Graph and compare fractions on number lines
- Q.9Compare fractions
- Q.10Order fractions with like numerators or denominators
- Q.11Order fractions
- Q.12Find smaller or larger fractions
- Q.13Fractions of a number
- Q.14Fractions of a number: word problems
- Q.15Mixed numbers
- Q.16Convert between improper fractions and mixed numbers

## Multiply fractions

- R.1Multiply unit fractions by whole numbers using number lines
- R.2Multiply unit fractions by whole numbers using models
- R.3Multiples of fractions
- R.4Multiply unit fractions and whole numbers: sorting
- R.5Multiply unit fractions by whole numbers
- R.6Multiply unit fractions by whole numbers: word problems
- R.7Multiply fractions by whole numbers using number lines
- R.8Multiply fractions by whole numbers using models
- R.9Multiply fractions and whole numbers: sorting
- R.10Multiply fractions by whole numbers
- R.11Multiply fractions by whole numbers: word problems

## Decimals

- S.1What decimal number is illustrated?
- S.2Model decimals and fractions
- S.3Understanding decimals expressed in words
- S.4Place values in decimal numbers
- S.5Equivalent decimals
- S.6Graph decimals on number lines
- S.7Decimal number lines
- S.8Graph fractions as decimals on number lines
- S.9Convert fractions and mixed numbers to decimals
- S.10Convert decimals to fractions and mixed numbers
- S.11Convert decimals between standard and expanded form using fractions
- S.12Round decimals
- S.13Compare decimals on number lines
- S.14Compare decimal numbers
- S.15Put decimal numbers in order I
- S.16Compare decimals and fractions on number lines
- S.17Compare decimals and fractions
- S.18Put decimal numbers in order II
- S.19Number sequences involving decimals

## Add and subtract decimals

- T.1Add decimal numbers
- T.2Subtract decimal numbers
- T.3Add and subtract decimals: word problems
- T.4Choose decimals with a particular sum or difference
- T.5Add three or more decimals
- T.6Add three or more decimals: word problems
- T.7Complete the addition or subtraction sentence
- T.8Inequalities with addition and subtraction
- T.9Estimate sums and differences of decimals
- T.10Solve decimal problems using diagrams