# 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 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!

## Numbers and comparing

- A.1 Even or odd
- A.2 Even or odd: arithmetic rules
- A.3 Skip-counting by 6
- A.4 Skip-counting by 7
- A.5 Skip-counting by 9
- A.6 Skip-counting puzzles
- A.7 Number sequences
- A.8 Ordinal numbers to 100th
- A.9 Write numbers in words
- A.10 Roman numerals I, V, X, L, C, D, M
- A.11 Count on a number line with negative numbers
- A.12 Comparing numbers
- A.13 Which number is greatest/least?
- A.14 Put numbers in order
- A.15 Comparing - with addition and subtraction
- A.16 Multi-step inequalities

## Place values

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

## Addition

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

## Subtraction

- D.1 Subtract numbers with up to three digits
- D.2 Subtraction input/output tables - up to three digits
- D.3 Subtract numbers with up to three digits - word problems
- D.4 Complete the subtraction sentence - up to three digits
- D.5 Balance subtraction equations - up to three digits
- D.6 Subtraction patterns over increasing place values
- D.7 Subtract numbers with up to four digits
- D.8 Subtraction input/output tables - up to four digits
- D.9 Subtract numbers with up to four digits - word problems
- D.10 Subtraction: fill in the missing digits

## Understand multiplication

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

## Multiplication skill builders

## Multiplication fluency

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

## Multiplication

- H.1 Multiplication sentences
- H.2 Multiply by a multiple of ten
- H.3 Multiply numbers ending in zeroes
- H.4 Multiplication patterns over increasing place values
- H.5 Multiplication input/output tables
- H.6 Multiplication word problems
- H.7 Multiplication word problems: find the missing factor
- H.8 Multiply a one-digit number by a two-digit number
- H.9 Multiply a one-digit number by a two-digit number: word problems
- H.10 Multiply a one-digit number by a three-digit number
- H.11 Multiply a one-digit number by a three-digit number: word problems
- H.12 Multiply three or more numbers
- H.13 Multiply three or more numbers: word problems
- H.14 Box multiplication
- H.15 Lattice multiplication

## Division skill builders

## Division fluency

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

## Division

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

## Mixed operations

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

## Properties

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

## Equations and variables

## Estimation and rounding

- P.1 Rounding
- P.2 Round money amounts
- P.3 Rounding puzzles
- P.4 Solve inequalities using estimation
- P.5 Estimate sums
- P.6 Estimate sums: word problems
- P.7 Estimate differences
- P.8 Estimate differences: word problems
- P.9 Estimate products
- P.10 Estimate products: word problems
- P.11 Estimate quotients
- P.12 Estimate quotients: word problems
- P.13 Estimate sums, differences, products and quotients: word problems

## Logical reasoning

## Patterns

## Money

## Time

- T.1 Match clocks and times
- T.2 Match analogue and digital clocks
- T.3 Read clocks and write times
- T.4 A.M. or P.M.
- T.5 Write times
- T.6 Elapsed time
- T.7 Elapsed time word problems
- T.8 Read a calendar
- T.9 Relate time units
- T.10 Time patterns
- T.11 Convert between hours and fractions of hours
- T.12 Convert between 12-hour and 24-hour time
- T.13 Reading schedules - 12-hour time
- T.14 Reading schedules - 24-hour time
- T.15 Timelines

## Data and graphs

- U.1 Objects on a coordinate plane
- U.2 Graph points on a coordinate plane
- U.3 Coordinate planes as maps - find the coordinates
- U.4 Coordinate planes as maps - count the distance
- U.5 Interpret bar graphs
- U.6 Create bar graphs
- U.7 Interpret line plots
- U.8 Create line plots
- U.9 Interpret pictographs
- U.10 Create pictographs
- U.11 Interpret line graphs
- U.12 Create line graphs
- U.13 Sort shapes into a Venn diagram
- U.14 Count shapes in a Venn diagram
- U.15 Venn diagrams with three circles

## Units of measurement

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

## Geometry

- W.1 Identify two-dimensional shapes
- W.2 Count and compare sides and vertices
- W.3 Identify three-dimensional shapes
- W.4 Count vertices, edges and faces
- W.5 Identify faces of three-dimensional shapes
- W.6 Is it a polygon?
- W.7 Regular and irregular polygons
- W.8 Plot points to draw a polygon
- W.9 Lines, line segments and rays
- W.10 Angles greater than, less than or equal to a right angle
- W.11 Acute, right and obtuse angles
- W.12 Acute, right and obtuse angles - with a protractor
- W.13 Acute, obtuse and right triangles
- W.14 Scalene, isosceles and equilateral triangles
- W.15 Angles of 90, 180, 270 and 360 degrees
- W.16 Reflection, rotation and translation
- W.17 Identify congruent shapes
- W.18 Symmetry

## Geometric measurement

- X.1 Perimeter of rectangles
- X.2 Perimeter of polygons
- X.3 Perimeter of rectilinear shapes
- X.4 Perimeter: find the missing side length
- X.5 Find the area of figures made of unit squares
- X.6 Select figures with a given area
- X.7 Select two figures with the same area
- X.8 Create figures with a given area
- X.9 Find the area of rectangles and squares
- X.10 Find the missing side length of a rectangle
- X.11 Volume

## Understand fractions

- Y.1 Understand fractions: fraction bars
- Y.2 Understand fractions: area models
- Y.3 Fraction review
- Y.4 Show fractions: fraction bars
- Y.5 Show fractions: area models
- Y.6 Fractions of number lines: unit fractions
- Y.7 Fractions of number lines
- Y.8 Identify fractions on number lines
- Y.9 Graph unit fractions on number lines
- Y.10 Graph fractions on number lines
- Y.11 Unit fractions: modelling word problems
- Y.12 Unit fractions: word problems
- Y.13 Fractions of a whole: modelling word problems
- Y.14 Fractions of a whole: word problems
- Y.15 Fractions of a group: word problems
- Y.16 Fractions of a number - unit fractions
- Y.17 Fractions of a number
- Y.18 Fractions of a number - unit fractions: word problems
- Y.19 Fractions of a number: word problems
- Y.20 Mixed numbers: what mixed number is shown?
- Y.21 Mixed numbers: write the mixed number in words

## Compare and order fractions

## Equivalent fractions

## Add and subtract fractions

- BB.1 Decompose fractions into unit fractions
- BB.2 Decompose fractions
- BB.3 Add fractions with like denominators using number lines
- BB.4 Subtract fractions with like denominators using number lines
- BB.5 Add and subtract fractions with like denominators
- BB.6 Compare sums and differences of fractions with like denominators
- BB.7 Add 3 or more fractions with like denominators

## Decimals

- CC.1 What decimal number is illustrated?
- CC.2 Convert between decimals and fractions
- CC.3 Understanding decimals expressed in words
- CC.4 Round decimals to the nearest whole number
- CC.5 Name the place value of a given digit
- CC.6 Name the digit in a given place value
- CC.7 Number sequences involving decimals
- CC.8 Compare decimals on number lines
- CC.9 Inequalities with decimals
- CC.10 Which decimals are greater/less?
- CC.11 Which decimal comparisons are true?
- CC.12 Put decimal numbers in order
- CC.13 Add and subtract decimals
- CC.14 Add and subtract decimals - word problems
- CC.15 Add three or more decimal numbers