# Year 4 maths

Here is a list of all of the maths skills students learn in year 4! 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!

## Numbers and comparing

- A.1Write numbers in words
- A.2Ordinal numbers to 100th
- A.3Roman numerals I, V, X, L, C, D, M
- A.4Even or odd
- A.5Even or odd: arithmetic rules
- A.6Skip-counting puzzles
- A.7Number sequences
- A.8Put numbers in order
- A.9Which number is greatest/least?
- A.10Comparing numbers
- A.11Comparing - with addition and subtraction
- A.12Multi-step inequalities

## Place values

- B.1Place value models up to thousands
- B.2Place value names up to thousands
- B.3Place value names up to hundred thousands
- B.4Value of a digit
- B.5Convert to/from a number
- B.6Convert between place values
- B.7Convert from expanded form
- B.8Convert between standard and expanded form
- B.9Place value word problems

## Addition

- C.1Add two numbers up to three digits
- C.2Addition input/output tables - up to three digits
- C.3Add two numbers up to three digits - word problems
- C.4Complete the addition sentence - up to three digits
- C.5Balance addition equations - up to three digits
- C.6Add three or more numbers up to three digits each
- C.7Add three or more numbers up to three digits - word problems
- C.8Addition patterns over increasing place values
- C.9Add two numbers with four or more digits
- C.10Addition input/output tables - four or more digits
- C.11Add two numbers with four or more digits - word problems
- C.12Complete the addition sentence - four or more digits
- C.13Balance equations - four or more digits
- C.14Add three or more numbers with four or more digits
- C.15Add three or more numbers with four or more digits - word problems
- C.16Addition: fill in the missing digits

## Subtraction

- D.1Subtract numbers up to three digits
- D.2Subtraction input/output tables - up to three digits
- D.3Subtract numbers up to three digits - word problems
- D.4Complete the subtraction sentence - up to three digits
- D.5Balance subtraction equations - up to three digits
- D.6Subtraction patterns over increasing place values
- D.7Subtract numbers with four or more digits
- D.8Subtraction input/output tables - four or more digits
- D.9Subtraction: fill in the missing digits

## Understand multiplication

- E.1Count equal groups
- E.2Identify multiplication expressions for equal groups
- E.3Write multiplication sentences for equal groups
- E.4Relate addition and multiplication for equal groups
- E.5Identify multiplication expressions for arrays
- E.6Write multiplication sentences for arrays
- E.7Make arrays to model multiplication
- E.8Write multiplication sentences for number lines

## Multiplication skill builders

## Multiplication fluency

- G.1Multiplication tables for 2, 5, 10
- G.2Multiplication facts for 2, 5, 10: true or false?
- G.3Multiplication facts for 2, 5, 10: sorting
- G.4Multiplication tables for 3, 4, 8
- G.5Multiplication facts for 3, 4, 8: true or false?
- G.6Multiplication facts for 3, 4, 8: sorting
- G.7Multiplication tables for 6, 7, 9
- G.8Multiplication facts for 6, 7, 9: true or false?
- G.9Multiplication facts for 6, 7, 9: sorting
- G.10Multiplication tables up to 10
- G.11Multiplication tables up to 12
- G.12Multiplication facts up to 12: true or false?
- G.13Multiplication facts up to 12: sorting
- G.14Multiplication facts up to 12: find the missing factor
- G.15Multiplication sentences up to 12: true or false?
- G.16Squares up to 10 x 10

## Multiplication

- H.1Multiplication sentences
- H.2Multiply numbers ending in zeroes
- H.3Multiplication patterns over increasing place values
- H.4Multiplication input/output tables
- H.5Multiplication word problems
- H.6Multiplication word problems: find the missing factor
- H.7Multiply one-digit numbers by two-digit numbers
- H.8Multiply one-digit numbers by two-digit numbers: word problems
- H.9Multiply one-digit numbers by three-digit numbers
- H.10Multiply one-digit numbers by three-digit numbers: word problems
- H.11Multiply three or more numbers
- H.12Multiply three or more numbers: word problems
- H.13Box multiplication
- H.14Lattice multiplication

## Understand division

## Division skill builders

## Division fluency

- K.1Division facts for 2, 5, 10
- K.2Division facts for 2, 5, 10: true or false?
- K.3Division facts for 3, 4, 8
- K.4Division facts for 3, 4, 8: true or false?
- K.5Division facts for 6, 7, 9
- K.6Division facts for 6, 7, 9: true or false?
- K.7Division facts up to 10
- K.8Division facts up to 10: find the missing number
- K.9Division facts up to 12
- K.10Division facts up to 12: true or false?
- K.11Division facts up to 12: sorting
- K.12Division sentences up to 12: true or false?

## Division

- L.1Complete the division table
- L.2Divide numbers ending in zeroes
- L.3Division patterns over increasing place values
- L.4Division input/output tables
- L.5Division word problems
- L.6Divide larger numbers
- L.7Divide larger numbers: word problems
- L.8Divisibility rules for 2, 5 and 10
- L.9Interpret remainders

## Mixed operations

- M.1Addition, subtraction, multiplication and division facts
- M.2Complete the addition, subtraction, multiplication or division sentence
- M.3Multiplication and division facts up to 5: true or false?
- M.4Multiplication and division facts up to 10: true or false?
- M.5Multiplication and division facts up to 12: true or false?
- M.6Multiplication and division sentences up to 12: true or false?
- M.7Add, subtract, multiply and divide
- M.8Addition, subtraction, multiplication and division word problems
- M.9Interpret data in tables
- M.10Multi-step word problems
- M.11Missing operators

## Properties

- N.1Addition, subtraction, multiplication and division terms
- N.2Understanding parentheses
- N.3Properties of addition
- N.4Solve using properties of addition
- N.5Properties of multiplication
- N.6Solve using properties of multiplication
- N.7Distributive property: find the missing factor
- N.8Multiply using the distributive property
- N.9Relate addition and multiplication
- N.10Relate multiplication and division

## Equations and variables

## Estimation and rounding

## Logical reasoning

## Time

- S.1Match clocks and times
- S.2Match analogue and digital clocks
- S.3Read clocks and write times
- S.4A.M. or P.M.
- S.5Write times
- S.6Elapsed time I
- S.7Elapsed time II
- S.8Read a calendar
- S.9Relate time units
- S.10Time patterns
- S.11Convert between hours and fractions of hours
- S.12Reading schedules - 12-hour time
- S.13Reading schedules - 24-hour time
- S.14Timelines

## Data and graphs

- T.1Objects on a coordinate plane
- T.2Coordinate planes as maps
- T.3Graph points on a coordinate plane
- T.4Interpret bar graphs
- T.5Create bar graphs
- T.6Interpret line plots
- T.7Create line plots
- T.8Interpret pictographs
- T.9Create pictographs
- T.10Interpret line graphs
- T.11Create line graphs
- T.12Sort shapes into a Venn diagram
- T.13Count shapes in a Venn diagram
- T.14Venn diagrams with three circles

## Measurement

- U.1Read a thermometer
- U.2Reasonable temperature
- U.3Which metric unit of length is appropriate?
- U.4Compare and convert metric units of length
- U.5Which metric unit of mass is appropriate?
- U.6Compare and convert metric units of mass
- U.7Which metric unit of volume is appropriate?
- U.8Compare and convert metric units of volume
- U.9Conversion tables - metric units
- U.10Which imperial unit of length is appropriate?
- U.11Compare and convert imperial units of length
- U.12Which imperial unit of weight is appropriate?
- U.13Compare and convert imperial units of weight
- U.14Which imperial unit of volume is appropriate?
- U.15Compare and convert imperial units of volume
- U.16Conversion tables - imperial units

## Geometry

- V.1Identify 2-dimensional and 3-dimensional shapes
- V.2Count and compare sides and angles
- V.3Count and compare edges, vertices and faces
- V.4Symmetry
- V.5Similar and congruent
- V.6Reflection, rotation and translation
- V.7Perimeter
- V.8Perimeter: find the missing side length
- V.9Area
- V.10Create figures with a given area
- V.11Volume
- V.12Angles: greater than, less than or equal to a right angle
- V.13Angles of 90, 180, 270 and 360 degrees
- V.14Lines, line segments and rays
- V.15Is it a polygon?
- V.16Triangles: equilateral, isosceles and scalene
- V.17Triangles: acute, right and obtuse

## Fractions and mixed numbers

- W.1Understand fractions: fraction bars
- W.2Understand fractions: area models
- W.3Fraction review
- W.4Show fractions: fraction bars
- W.5Show fractions: area models
- W.6Fraction review - word problems
- W.7Fractions of number lines: unit fractions
- W.8Fractions of number lines
- W.9Identify fractions on number lines
- W.10Graph unit fractions on number lines
- W.11Graph fractions on number lines
- W.12Graph and compare fractions with like numerators on number lines
- W.13Graph and compare fractions with like denominators on number lines
- W.14Graph and compare fractions on number lines
- W.15Compare fractions
- W.16Find equivalent fractions
- W.17Select equivalent fractions
- W.18Reduce fractions to lowest terms
- W.19Put fractions in order
- W.20Fractions of a number - unit fractions
- W.21Fractions of a number
- W.22Fractions of a number - unit fractions: word problems
- W.23Fractions of a number: word problems
- W.24Mixed numbers: what mixed number is shown?
- W.25Mixed numbers: write the mixed number in words

## Decimals

- X.1What decimal number is illustrated?
- X.2Convert between decimals and fractions
- X.3Understanding decimals expressed in words
- X.4Number sequences involving decimals
- X.5Inequalities with decimals
- X.6Put decimal numbers in order
- X.7Add and subtract decimals
- X.8Add and subtract decimals - word problems
- X.9Add three or more decimal numbers