# 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!

## Place values and number sense

## Addition and subtraction

- B.1Add and subtract whole numbers up to millions
- B.2Add and subtract whole numbers: word problems
- B.3Add and subtract money amounts
- B.4Add and subtract money: word problems
- B.5Complete addition and subtraction sentences
- B.6Fill in the missing digits
- B.7Choose numbers with a particular sum or difference
- B.8Properties of addition
- B.9Inequalities with addition and subtraction
- B.10Estimate sums and differences of whole numbers
- B.11Estimate sums and differences: word problems

## Multiplication

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

## Division

- D.1Division facts to 12
- D.2Division facts to 12: word problems
- D.3Divide by one-digit numbers
- D.4Divide by one-digit numbers: word problems
- D.5Divide by one-digit numbers: interpret remainders
- D.6Estimate quotients
- D.7Estimate quotients: word problems
- D.8Division patterns over increasing place values
- D.9Divide numbers ending in zeroes
- D.10Divide numbers ending in zeroes: word problems
- D.11Divide money amounts: word problems
- D.12Choose numbers with a particular quotient

## Number theory

## Decimals

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

## Add and subtract decimals

## Multiply and divide decimals

- H.1Estimate products of decimals
- H.2Multiply a decimal by a power of ten
- H.3Multiply decimals and whole numbers
- H.4Multiply decimals and whole numbers: word problems
- H.5Multiply money amounts with decimals: word problems
- H.6Inequalities with decimal multiplication
- H.7Divide by powers of ten
- H.8Decimal division patterns over increasing place values

## Fractions and mixed numbers

- I.1Fractions review
- I.2Understanding fractions: word problems
- I.3Fractions on number lines
- I.4Equivalent fractions
- I.5Patterns of equivalent fractions
- I.6Write fractions in lowest terms
- I.7Mixed numbers
- I.8Convert between improper fractions and mixed numbers
- I.9Graph and compare fractions on number lines
- I.10Compare fractions and mixed numbers
- I.11Put fractions in order
- I.12Fractions of a number
- I.13Fractions of a number: word problems
- I.14Arithmetic sequences with fractions
- I.15Geometric sequences with fractions
- I.16Round mixed numbers

## Add and subtract fractions

- J.1Decompose fractions multiple ways
- J.2Add and subtract fractions with like denominators using number lines
- J.3Add and subtract fractions with like denominators
- J.4Add and subtract fractions with like denominators: word problems
- J.5Add and subtract mixed numbers with like denominators
- J.6Add and subtract mixed numbers with like denominators: word problems
- J.7Add up to 4 fractions with denominators of 10 and 100
- J.8Add three or more fractions
- J.9Add three or more fractions: word problems
- J.10Complete addition and subtraction sentences with fractions
- J.11Inequalities with addition and subtraction of fractions
- J.12Estimate sums and differences of mixed numbers

## Mixed operations

## Problem solving

## Consumer maths

## Number sequences

## Algebra

## Data and graphs

- Q.1Read a table
- Q.2Interpret line graphs
- Q.3Create line graphs
- Q.4Interpret bar graphs
- Q.5Create bar graphs
- Q.6Interpret pictographs
- Q.7Create pictographs
- Q.8Interpret histograms
- Q.9Create histograms
- Q.10Interpret line plots
- Q.11Create line plots
- Q.12Frequency charts
- Q.13Stem-and-leaf plots
- Q.14Circle graphs
- Q.15Choose the best type of graph

## Probability and statistics

## Time

- S.1Convert time units
- S.2Add and subtract mixed time units
- S.3Elapsed time
- S.4Find start and end times: word problems
- S.5Convert between 12-hour and 24-hour time
- S.6Time zones - 12-hour time
- S.7Time zones - 24-hour time
- S.8Schedules and timelines - 12-hour time
- S.9Schedules - 24-hour time
- S.10Time patterns

## Units of measurement

- T.1Choose the appropriate metric unit of measure
- T.2Compare and convert metric units of length
- T.3Compare and convert metric units of mass
- T.4Compare and convert metric units of volume
- T.5Metric mixed units
- T.6Convert between square metres and hectares
- T.7Convert between cubic centimetres and millilitres
- T.8Choose the more reasonable temperature

## Two-dimensional figures

- U.1Is it a polygon?
- U.2Number of sides in polygons
- U.3Regular and irregular polygons
- U.4Parallel, perpendicular and intersecting lines
- U.5Types of angles
- U.6Measure angles with a protractor
- U.7Classify triangles
- U.8Classify quadrilaterals
- U.9Properties of triangles and quadrilaterals
- U.10Parts of a circle