# Grade 5 maths

Here is a list of all of the maths skills students learn in grade 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 2-digit numbers: complete the missing steps
- C.13Multiply 2-digit numbers by 2-digit numbers
- C.14Multiply 2-digit numbers by 3-digit numbers
- C.15Multiply 2-digit numbers by larger numbers
- C.16Multiply by 2-digit numbers: word problems
- C.17Multiply three or four numbers
- C.18Multiply three or four numbers: word problems
- C.19Multiply money amounts: word problems
- C.20Inequalities 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: word problems
- D.7Division patterns over increasing place values
- D.8Divide numbers ending in zeroes
- D.9Divide numbers ending in zeroes: word problems
- D.10Divide by two-digit numbers
- D.11Divide by two-digit numbers: word problems
- D.12Divide money amounts: word problems
- D.13Estimate quotients
- D.14Choose 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 decimals

- H.1Estimate products of decimals
- H.2Multiply a decimal by a power of ten
- H.3Multiply decimals and whole numbers
- H.4Multiply a decimal by a multi-digit whole number
- H.5Multiply decimals and whole numbers: word problems
- H.6Multiply money amounts with decimals: word problems
- H.7Multiply three or four numbers, one of which is a decimal
- H.8Inequalities with decimal multiplication

## Divide decimals

## Fractions and mixed numbers

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

## Add, subtract and multiply fractions

- K.1Decompose fractions multiple ways
- K.2Add and subtract fractions with like denominators using number lines
- K.3Add and subtract fractions with like denominators
- K.4Add and subtract fractions with like denominators: word problems
- K.5Add and subtract mixed numbers with like denominators
- K.6Add up to 4 fractions with denominators of 10 and 100
- K.7Add fractions with unlike denominators
- K.8Subtract fractions with unlike denominators
- K.9Add and subtract fractions with unlike denominators: word problems
- K.10Add three or more fractions with unlike denominators
- K.11Add three or more fractions: word problems
- K.12Complete addition and subtraction sentences with fractions
- K.13Inequalities with addition and subtraction of fractions
- K.14Estimate sums and differences of mixed numbers
- K.15Add mixed numbers with unlike denominators
- K.16Subtract mixed numbers with unlike denominators
- K.17Add and subtract mixed numbers: word problems
- K.18Complete addition and subtraction sentences with mixed numbers
- K.19Inequalities with addition and subtraction of mixed numbers
- K.20Multiply unit fractions by whole numbers using number lines
- K.21Multiply unit fractions by whole numbers using models
- K.22Multiples of fractions
- K.23Multiply unit fractions and whole numbers: sorting
- K.24Multiply fractions by whole numbers using number lines
- K.25Multiply fractions by whole numbers using models
- K.26Multiply fractions and whole numbers: sorting
- K.27Multiply fractions by whole numbers
- K.28Multiply fractions by whole numbers: input/output tables

## Mixed operations

- L.1Add, subtract, multiply and divide whole numbers
- L.2Add, subtract, multiply and divide whole numbers: word problems
- L.3Write numerical expressions
- L.4Perform multiple operations with whole numbers
- L.5Add, subtract, multiply and divide decimals
- L.6Add, subtract, multiply and divide decimals: word problems

## Problem solving

## Ratios, proportions and percents

- N.1Determine the ratio
- N.2Ratio tables
- N.3Ratios: word problems
- N.4Equivalent ratios
- N.5Proportions
- N.6Unit rates and equivalent rates
- N.7Scale drawings
- N.8What percentage is illustrated?
- N.9Convert between percents, fractions and decimals
- N.10Percent of a number
- N.11Percent of a number: word problems
- N.12Compare percentages

## Consumer maths

## Number sequences

## Variable expressions

- Q.1Write variable expressions
- Q.2Write variable expressions: word problems
- Q.3Evaluate variable expressions
- Q.4Write variable equations: word problems
- Q.5Solve equations with whole numbers
- Q.6Find a value using two-variable equations
- Q.7Complete a table for a two-variable relationship
- Q.8Complete a table from a graph
- Q.9Graph a two-variable relationship
- Q.10Write a two-variable equation

## Data and graphs

- R.1Read a table
- R.2Interpret line graphs
- R.3Create line graphs
- R.4Interpret bar graphs
- R.5Create bar graphs
- R.6Interpret double bar graphs
- R.7Create double bar graphs
- R.8Interpret pictographs
- R.9Create pictographs
- R.10Interpret histograms
- R.11Create histograms
- R.12Interpret line plots
- R.13Create line plots
- R.14Frequency charts
- R.15Stem-and-leaf plots
- R.16Circle graphs
- R.17Choose the best type of graph

## Probability and statistics

## Time

## Measurement

## Geometry

- V.1Identify planar and solid figures
- V.2Types of triangles
- V.3Open and closed shapes and qualities of polygons
- V.4Regular and irregular polygons
- V.5Number of sides in polygons
- V.6Which figure is being described?
- V.7Classify quadrilaterals
- V.8Reflection, rotation and translation
- V.9Count and compare sides, edges, faces and vertices
- V.10Similar and congruent
- V.11Nets of 3-dimensional figures
- V.12Types of angles
- V.13Measure angles with a protractor
- V.14Parts of a circle
- V.15Perimeter
- V.16Area of squares and rectangles
- V.17Area of triangles
- V.18Area of compound figures
- V.19Area between two rectangles
- V.20Area and perimeter of figures on grids
- V.21Area and perimeter: word problems
- V.22Use area and perimeter to determine cost
- V.23Volume of figures made of unit cubes
- V.24Volume of cubes and rectangular prisms
- V.25Three-dimensional figures viewed from different perspectives
- V.26Lines of symmetry
- V.27Rotational symmetry
- V.28Parallel, perpendicular, intersecting
- V.29Find the unknown angle in triangles and quadrilaterals