# 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

- A.1 Place values
- A.2 Convert between place values
- A.3 Convert between words and digits - up to 1,000,000
- A.4 Ordinal numbers to 100th
- A.5 Roman numerals
- A.6 Rounding
- A.7 Even or odd: arithmetic rules
- A.8 Count on a number line - up to 10 in both directions
- A.9 Count on a number line - up to 100 in both directions
- A.10 Inequalities with number lines
- A.11 Compare numbers up to five digits
- A.12 Put numbers in order - up to 1,000,000
- A.13 Identify factors
- A.14 Prime and composite numbers
- A.15 Prime factorisation
- A.16 Highest common factor
- A.17 Lowest common multiple

## Addition

- B.1 Add numbers with five digits or more
- B.2 Add numbers with five digits or more: word problems
- B.3 Addition with five digits or more: fill in the missing digits
- B.4 Properties of addition
- B.5 Add three or more numbers with five digits or more
- B.6 Addition patterns over increasing place values
- B.7 Choose numbers with a particular sum
- B.8 Estimate sums
- B.9 Estimate sums: word problems

## Subtraction

- C.1 Subtract numbers with five digits or more
- C.2 Subtract numbers with five digits or more: word problems
- C.3 Subtraction with five digits or more: fill in the missing digits
- C.4 Subtraction patterns over increasing place values
- C.5 Choose numbers with a particular difference
- C.6 Estimate differences
- C.7 Estimate differences: word problems

## Multiplication

- D.1 Multiplication facts to 10
- D.2 Choose the multiples of a given number up to 12
- D.3 Multiply a one-digit number by a two-digit number
- D.4 Multiply a one-digit number by a three-digit or four-digit number
- D.5 Multiply a one-digit number by a larger number
- D.6 Multiplication patterns over increasing place values
- D.7 Properties of multiplication
- D.8 Estimate products - multiply by a one-digit number
- D.9 Estimate products - multiply by larger numbers
- D.10 Estimate products: word problems
- D.11 Box multiplication
- D.12 Lattice multiplication
- D.13 Multiply a two-digit number by a two-digit number: complete the missing steps
- D.14 Multiply a two-digit number by a two-digit number
- D.15 Multiply a two-digit number by a two-digit number: word problems
- D.16 Multiply a two-digit number by a three-digit or a four-digit number: complete the missing steps
- D.17 Multiply a two-digit number by a three-digit or a four-digit number
- D.18 Multiply a two-digit number by a three-digit or a four-digit number: word problems
- D.19 Choose numbers with a particular product
- D.20 Multiply numbers ending in zeroes
- D.21 Multiply numbers ending in zeroes: word problems
- D.22 Multiply three numbers
- D.23 Multiply three or more numbers: word problems
- D.24 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 by a one-digit number
- E.5 Divide larger numbers by a one-digit number: word problems
- E.6 Complete the division table
- E.7 Interpret remainders
- E.8 Choose numbers with a particular quotient
- E.9 Divide numbers ending in zeroes
- E.10 Estimate quotients
- E.11 Estimate quotients: word problems
- E.12 Divisibility rules
- E.13 Divisibility rules: word problems
- E.14 Division patterns over increasing place values
- E.15 Divide numbers ending in zeroes, multi-digit divisors
- E.16 Divide numbers ending in zeroes, multi-digit divisors: word problems
- E.17 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 Inequalities involving addition, subtraction, multiplication and division

## Variable expressions

## Functions

## Coordinate plane

## Data and graphs

## Logical reasoning

## Patterns and sequences

## Money

## Units of measurement

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

## Time

- P.1 Convert time units
- P.2 Add and subtract mixed time units
- P.3 Fractions of time units
- P.4 Elapsed time
- P.5 Find start and end times: multi-step word problems
- P.6 Convert between 12-hour and 24-hour time
- P.7 Time zones - 12-hour time
- P.8 Time zones - 24-hour time
- P.9 Transportation schedules - 12-hour time
- P.10 Transportation schedules - 24-hour time
- P.11 Time patterns

## Geometry

- Q.1 Which two-dimensional figure is being described?
- Q.2 Identify three-dimensional figures
- Q.3 Count vertices, edges and faces
- Q.4 Identify faces of three-dimensional figures
- Q.5 Which three-dimensional figure is being described?
- Q.6 Nets of three-dimensional figures
- Q.7 Is it a polygon?
- Q.8 Number of sides in polygons
- Q.9 Lines, line segments and rays
- Q.10 Parallel, perpendicular and intersecting lines
- Q.11 Acute, right, obtuse and straight angles
- Q.12 Measure angles with a protractor
- Q.13 Types of triangles
- Q.14 Identify congruent figures
- Q.15 Identify lines of symmetry
- Q.16 Rotational symmetry
- Q.17 Fraction and degree of a turn given a figure

## Geometric measurement

- R.1 Perimeter
- R.2 Perimeter: find the missing side lengths
- R.3 Find the area of figures made of unit squares
- R.4 Select figures with a given area
- R.5 Select two figures with the same area
- R.6 Create figures with a given area
- R.7 Find the area or missing side length of a rectangle
- R.8 Find the area of complex figures
- R.9 Find the area between two rectangles
- R.10 Area and perimeter: word problems
- R.11 Use area and perimeter to determine cost
- R.12 Volume

## Fractions and mixed numbers

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

## Add and subtract fractions

- T.1 Decompose fractions multiple ways
- T.2 Add and subtract fractions with like denominators using number lines
- T.3 Add and subtract fractions with like denominators
- T.4 Add and subtract fractions with like denominators: word problems
- T.5 Add and subtract mixed numbers with like denominators
- T.6 Add and subtract mixed numbers with like denominators: word problems
- T.7 Add three or more fractions with like denominators
- T.8 Add three or more fractions with like denominators: word problems
- T.9 Add up to 4 fractions with denominators of 10 and 100
- T.10 Add and subtract fractions with unlike denominators
- T.11 Add and subtract fractions with unlike denominators: word problems
- T.12 Add three or more fractions with unlike denominators
- T.13 Add three or more fractions with unlike denominators: word problems
- T.14 Add and subtract mixed numbers with unlike denominators
- T.15 Add and subtract mixed numbers with unlike denominators: word problems
- T.16 Complete addition and subtraction sentences with fractions

## Multiply fractions

- U.1 Multiply unit fractions by whole numbers using number lines
- U.2 Multiply unit fractions by whole numbers using models
- U.3 Multiples of fractions
- U.4 Multiply unit fractions and whole numbers: sorting
- U.5 Multiply unit fractions by whole numbers
- U.6 Multiply unit fractions by whole numbers: word problems
- U.7 Multiply fractions by whole numbers using number lines
- U.8 Multiply fractions by whole numbers using models
- U.9 Multiply fractions and whole numbers: sorting
- U.10 Multiply fractions by whole numbers
- U.11 Multiply fractions by whole numbers: word problems

## Decimals

- V.1 What decimal number is illustrated?
- V.2 Model decimals and fractions
- V.3 Understanding decimals expressed in words
- V.4 Place values in decimal numbers
- V.5 Equivalent decimals
- V.6 Graph decimals on number lines
- V.7 Decimal number lines
- V.8 Graph fractions as decimals on number lines
- V.9 Convert fractions and mixed numbers to decimals
- V.10 Convert decimals to fractions and mixed numbers
- V.11 Convert decimals between standard and expanded form using fractions
- V.12 Round decimals
- V.13 Compare decimals on number lines
- V.14 Compare decimal numbers
- V.15 Put decimal numbers in order I
- V.16 Put decimal numbers in order II
- V.17 Compare decimals and fractions on number lines
- V.18 Compare decimals and fractions
- V.19 Number sequences involving decimals

## Add and subtract decimals

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