# 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 preview the skill. 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.1 Add numbers up to five digits
- B.2 Add numbers up to five digits: word problems
- B.3 Addition: fill in the missing digits
- B.4 Properties of addition
- B.5 Input/output tables with addition
- B.6 Add three or more numbers up to five digits each
- B.7 Addition patterns over increasing place values
- B.8 Choose numbers with a particular sum
- B.9 Estimate sums
- B.10 Estimate sums: word problems

## Subtraction

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

## Multiplication

- D.1 Multiplication facts to 10
- D.2 Multiplication facts up to 10: find the missing factor
- D.3 Choose the multiples of a given number up to 12
- D.4 Multiply one-digit numbers by two-digit numbers
- D.5 Multiply one-digit numbers by three-digit or four-digit numbers
- D.6 Multiply one-digit numbers by larger numbers
- D.7 Multiplication patterns over increasing place values
- D.8 Properties of multiplication
- D.9 Input/output tables with multiplication
- D.10 Estimate products
- D.11 Estimate products: word problems
- D.12 Box multiplication
- D.13 Lattice multiplication
- D.14 Choose numbers with a particular product
- D.15 Multiply numbers ending in zeroes
- D.16 Multiply numbers ending in zeroes: word problems
- D.17 Multiply three numbers
- D.18 Inequalities with multiplication

## Division

- E.1 Division facts to 10
- E.2 Division facts to 10: word problems
- E.3 Properties of division
- E.4 Divide larger numbers
- E.5 Divide larger numbers: word problems
- E.6 Complete the division table
- E.7 Interpret remainders
- E.8 Input/output tables with division
- E.9 Choose numbers with a particular quotient
- E.10 Divide numbers ending in zeroes
- E.11 Estimate quotients
- E.12 Estimate quotients: word problems
- E.13 Divisibility rules
- E.14 Divisibility rules: word problems
- E.15 Division patterns over increasing place values
- E.16 Inequalities with division

## Mixed operations

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

## Patterns and sequences

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

## Data and graphs

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

## Money

## Units of measurement

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

## Time

## Two-dimensional figures

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

## Three-dimensional figures

## Geometric measurement

- N.1 Perimeter
- N.2 Perimeter: find the missing side lengths
- N.3 Find the area of figures made of unit squares
- N.4 Select figures with a given area
- N.5 Select two figures with the same area
- N.6 Create figures with a given area
- N.7 Find the area or missing side length of a rectangle
- N.8 Area and perimeter: word problems
- N.9 Volume

## Logical reasoning

## Fractions and mixed numbers

- P.1 Fractions review
- P.2 Fractions of a whole: word problems
- P.3 Fractions of a group: word problems
- P.4 Find equivalent fractions using area models
- P.5 Graph equivalent fractions on number lines
- P.6 Equivalent fractions
- P.7 Patterns of equivalent fractions
- P.8 Write fractions in lowest terms
- P.9 Graph and compare fractions on number lines
- P.10 Compare fractions
- P.11 Order fractions with like numerators or denominators
- P.12 Order fractions
- P.13 Find smaller or larger fractions
- P.14 Fractions of a number
- P.15 Fractions of a number: word problems
- P.16 Mixed numbers: what mixed number is shown?
- P.17 Mixed numbers: write the mixed number in words

## Decimals

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

## Add and subtract decimals

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