# Year 6 maths

Here is a list of all of the maths skills students learn in year 6! 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 by 2-digit numbers: word problems
- C.16Multiply three or four numbers
- C.17Multiply three or four 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: 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

## 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, multiply and divide 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 and subtract mixed numbers with like denominators: word problems
- K.7Add up to 4 fractions with denominators of 10 and 100
- K.8Add three or more fractions
- K.9Add three or more fractions: word problems
- K.10Complete addition and subtraction sentences with fractions
- K.11Inequalities with addition and subtraction of fractions
- K.12Estimate sums and differences of mixed numbers
- K.13Multiply unit fractions by whole numbers using number lines
- K.14Multiply unit fractions by whole numbers using models
- K.15Multiples of fractions
- K.16Multiply unit fractions and whole numbers: sorting
- K.17Multiply fractions by whole numbers using number lines
- K.18Multiply fractions by whole numbers using models
- K.19Multiply fractions and whole numbers: sorting
- K.20Multiply fractions by whole numbers
- K.21Multiply fractions by whole numbers: input/output tables
- K.22Divide fractions by whole numbers

## 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

## Coordinate graphs

## Variable expressions

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

## Data and graphs

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

## Probability and statistics

## Time

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

## Measurement

- V.1Choose the more reasonable temperature
- V.2Choose the appropriate metric unit of measure
- V.3Compare and convert metric units of length
- V.4Compare and convert metric units of mass
- V.5Compare and convert metric units of volume
- V.6Metric mixed units
- V.7Choose the appropriate imperial unit of measure
- V.8Compare and convert imperial units of length
- V.9Compare and convert imperial units of weight
- V.10Compare and convert imperial units of volume
- V.11Imperial mixed units
- V.12Convert between metric and imperial units
- V.13Precision

## Geometry

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