# Year 4 maths

Here is a list of all of the maths skills students learn in year 4! 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.5Input/output tables with addition
- B.6Add three or more numbers up to five digits each
- B.7Addition patterns over increasing place values
- B.8Choose numbers with a particular sum
- B.9Estimate sums
- B.10Estimate sums: word problems

## Subtraction

- C.1Subtract numbers up to five digits
- C.2Subtract numbers up to five digits: word problems
- C.3Subtraction: fill in the missing digits
- C.4Subtraction patterns over increasing place values
- C.5Input/output tables with subtraction
- C.6Choose numbers with a particular difference
- C.7Estimate differences
- C.8Estimate differences: word problems

## Multiplication

- D.1Multiplication facts to 10
- D.2Multiplication facts up to 12: find the missing factor
- D.3Choose the multiples of a given number up to 12
- D.4Multiply by a multiple of ten
- D.5Multiply one-digit numbers by larger numbers
- D.6Multiplication patterns over increasing place values
- D.7Properties of multiplication
- D.8Input/output tables with multiplication
- D.9Estimate products
- D.10Estimate products: word problems
- D.11Box multiplication
- D.12Lattice multiplication
- D.13Choose numbers with a particular product
- D.14Multiply numbers ending in zeroes
- D.15Multiply numbers ending in zeroes: word problems
- D.16Multiply three numbers
- D.17Inequalities 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.8Input/output tables with division
- E.9Choose numbers with a particular quotient
- E.10Divide numbers ending in zeroes
- E.11Estimate quotients
- E.12Estimate quotients: word problems
- E.13Divisibility rules
- E.14Divisibility rules: word problems
- E.15Division patterns over increasing place values
- E.16Inequalities with division

## Mixed operations

- F.1Add, subtract, multiply and divide
- F.2Complete the addition or subtraction sentence - up to 100
- F.3Addition and subtraction - balance equations - up to 100
- F.4Addition, subtraction, multiplication and division word problems
- F.5Estimate sums, differences, products and quotients: word problems
- F.6Multi-step word problems
- F.7Word problems with extra or missing information
- F.8Solve word problems using guess-and-check
- F.9Choose numbers with a particular sum, difference, product or quotient
- F.10Mentally add and subtract numbers ending in zeroes
- F.11Understanding parentheses
- F.12Inequalities involving addition, subtraction, multiplication and division
- F.13Input/output tables with addition, subtraction, multiplication and division

## Number patterns

## Data and graphs

## Money

## Measurement

## Time

## Geometry

- L.1Identify planar and solid figures
- L.2Types of triangles
- L.3Open and closed shapes and qualities of polygons
- L.4Which 2-dimensional shape is being described?
- L.5Which 3-dimensional figure is being described?
- L.6Number of sides in polygons
- L.7Count and compare sides, edges, faces and vertices
- L.8Similar and congruent
- L.9Nets of 3-dimensional figures
- L.10Angles: greater than, less than or equal to a right angle
- L.11Acute, right, obtuse and straight angles
- L.12Perimeter
- L.13Area
- L.14Create figures with a given area
- L.15Volume
- L.16Lines of symmetry
- L.17Rotational symmetry
- L.18Lines, intervals and rays
- L.19Parallel, perpendicular, intersecting

## Fractions and mixed numbers

- M.1Fractions review
- M.2Understanding fractions: word problems
- M.3Find equivalent fractions using area models
- M.4Graph equivalent fractions on number lines
- M.5Equivalent fractions
- M.6Patterns of equivalent fractions
- M.7Reduce fractions to lowest terms
- M.8Fractions on number lines
- M.9Graph and compare fractions on number lines
- M.10Compare fractions
- M.11Order fractions with like numerators or denominators
- M.12Order fractions
- M.13Find smaller or larger fractions
- M.14Mixed numbers: what mixed number is shown?
- M.15Mixed numbers: write the mixed number in words

## Decimals

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

## Add and subtract decimals

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