# 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.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 10: find the missing factor
- D.3Choose the multiples of a given number up to 12
- D.4Multiply one-digit numbers by two-digit numbers
- D.5Multiply one-digit numbers by three-digit or four-digit numbers
- D.6Multiply one-digit numbers by larger numbers
- D.7Multiplication patterns over increasing place values
- D.8Properties of multiplication
- D.9Input/output tables with multiplication
- D.10Estimate products
- D.11Estimate products: word problems
- D.12Box multiplication
- D.13Lattice multiplication
- D.14Choose numbers with a particular product
- D.15Multiply numbers ending in zeroes
- D.16Multiply numbers ending in zeroes: word problems
- D.17Multiply three numbers
- D.18Inequalities 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.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.9Understanding parentheses
- F.10Inequalities involving addition, subtraction, multiplication and division
- F.11Input/output tables with addition, subtraction, multiplication and division

## Patterns and sequences

- G.1Find the next shape in a repeating pattern
- G.2Complete a repeating pattern
- G.3Make a repeating pattern
- G.4Find the next row in a growing pattern of shapes
- G.5Complete an increasing number pattern
- G.6Complete a geometric number pattern
- G.7Number patterns: word problems
- G.8Number patterns: mixed review

## Data and graphs

- H.1Read a table
- H.2Interpret line graphs
- H.3Create line graphs
- H.4Interpret bar graphs
- H.5Create bar graphs
- H.6Interpret line plots
- H.7Create line plots
- H.8Frequency charts
- H.9Stem-and-leaf plots
- H.10Circle graphs
- H.11Choose the best type of graph
- H.12Objects on a coordinate plane
- H.13Coordinate planes as maps
- H.14Follow directions on a coordinate plane

## Money

## Units of measurement

- J.1Choose the appropriate metric unit of measure
- J.2Which metric unit of length is appropriate?
- J.3Compare and convert metric units of length
- J.4Which metric unit of mass is appropriate?
- J.5Compare and convert metric units of mass
- J.6Which metric unit of volume is appropriate?
- J.7Compare and convert metric units of volume
- J.8Metric mixed units

## Time

## Two-dimensional figures

- L.1Is it a polygon?
- L.2Number of sides in polygons
- L.3Which two-dimensional figure is being described?
- L.4Lines, intervals and rays
- L.5Parallel, perpendicular and intersecting lines
- L.6Angles greater than, less than or equal to a right angle
- L.7Acute, right, obtuse and straight angles
- L.8Types of triangles
- L.9Reflection, rotation and translation
- L.10Identify congruent figures
- L.11Identify lines of symmetry
- L.12Rotational symmetry

## Geometric measurement

## Logical reasoning

## Fractions and mixed numbers

- P.1Fractions review
- P.2Understanding fractions: word problems
- P.3Find equivalent fractions using area models
- P.4Graph equivalent fractions on number lines
- P.5Equivalent fractions
- P.6Patterns of equivalent fractions
- P.7Write fractions in lowest terms
- P.8Graph and compare fractions on number lines
- P.9Compare fractions
- P.10Order fractions with like numerators or denominators
- P.11Order fractions
- P.12Find smaller or larger fractions
- P.13Fractions of a number
- P.14Fractions of a number: word problems
- P.15Mixed numbers: what mixed number is shown?
- P.16Mixed numbers: write the mixed number in words

## Decimals

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

## Add and subtract decimals

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