Curriculum (United Kingdom)

Year 4 Maths

Year 4 maths according to the national curriculum in England: four-digit numbers and rounding, negative numbers, all times tables to 12 × 12, short multiplication, decimals to hundredths, area by counting squares, symmetry and coordinates. Every topic comes with ready-made task templates for printable worksheets.

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What does a child learn in Year 4 maths?

In Year 4 a child works with four-digit numbers, rounds to the nearest 10, 100 or 1000 and counts back through zero. All multiplication tables up to 12 × 12 should be known, and two- and three-digit numbers are multiplied by one digit in a written layout. Decimals to hundredths appear next to fractions, and the child converts units, finds area by counting squares, classifies triangles and quadrilaterals, completes symmetric figures and plots points in the first quadrant.

About the national curriculum: the programmes of study for mathematics set out what pupils should be taught in each year of key stages 1 and 2, so every skill below sits in the year the curriculum itself names. The full list of statutory requirements for this year, quoted word for word, is in the section below.

Curriculum scope

Y4.NPV (our numbering) · Teaching content · checked against the act

Number – number and place value

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value
Y4.NPV.1 (our numbering) · Teaching content · checked against the act

count in multiples of 6, 7, 9, 25 and 1000

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value, statutory requirement Y4.NPV.1
Y4.NPV.2 (our numbering) · Teaching content · checked against the act

find 1000 more or less than a given number

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value, statutory requirement Y4.NPV.2
Y4.NPV.3 (our numbering) · Teaching content · checked against the act

count backwards through zero to include negative numbers

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value, statutory requirement Y4.NPV.3
Y4.NPV.4 (our numbering) · Teaching content · checked against the act

recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value, statutory requirement Y4.NPV.4
Y4.NPV.5 (our numbering) · Teaching content · checked against the act

order and compare numbers beyond 1000

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value, statutory requirement Y4.NPV.5
Y4.NPV.6 (our numbering) · Teaching content · checked against the act

identify, represent and estimate numbers using different representations

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value, statutory requirement Y4.NPV.6
Y4.NPV.7 (our numbering) · Teaching content · checked against the act

round any number to the nearest 10, 100 or 1000

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value, statutory requirement Y4.NPV.7
Y4.NPV.8 (our numbering) · Teaching content · checked against the act

solve number and practical problems that involve all of the above and with increasingly large positive numbers

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value, statutory requirement Y4.NPV.8
Y4.NPV.9 (our numbering) · Teaching content · checked against the act

read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.

National Curriculum in England (2013), mathematics, Year 4, Number – number and place value, statutory requirement Y4.NPV.9
Y4.AS (our numbering) · Teaching content · checked against the act

Number – addition and subtraction

National Curriculum in England (2013), mathematics, Year 4, Number – addition and subtraction
Y4.AS.1 (our numbering) · Teaching content · checked against the act

add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate

National Curriculum in England (2013), mathematics, Year 4, Number – addition and subtraction, statutory requirement Y4.AS.1
Y4.AS.2 (our numbering) · Teaching content · checked against the act

estimate and use inverse operations to check answers to a calculation

National Curriculum in England (2013), mathematics, Year 4, Number – addition and subtraction, statutory requirement Y4.AS.2
Y4.AS.3 (our numbering) · Teaching content · checked against the act

solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why.

National Curriculum in England (2013), mathematics, Year 4, Number – addition and subtraction, statutory requirement Y4.AS.3
Y4.MD (our numbering) · Teaching content · checked against the act

Number – multiplication and division

National Curriculum in England (2013), mathematics, Year 4, Number – multiplication and division
Y4.MD.1 (our numbering) · Teaching content · checked against the act

recall multiplication and division facts for multiplication tables up to 12 × 12

National Curriculum in England (2013), mathematics, Year 4, Number – multiplication and division, statutory requirement Y4.MD.1
Y4.MD.2 (our numbering) · Teaching content · checked against the act

use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers

National Curriculum in England (2013), mathematics, Year 4, Number – multiplication and division, statutory requirement Y4.MD.2
Y4.MD.3 (our numbering) · Teaching content · checked against the act

recognise and use factor pairs and commutativity in mental calculations

National Curriculum in England (2013), mathematics, Year 4, Number – multiplication and division, statutory requirement Y4.MD.3
Y4.MD.4 (our numbering) · Teaching content · checked against the act

multiply two-digit and three-digit numbers by a one-digit number using formal written layout

National Curriculum in England (2013), mathematics, Year 4, Number – multiplication and division, statutory requirement Y4.MD.4
Y4.MD.5 (our numbering) · Teaching content · checked against the act

solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.

National Curriculum in England (2013), mathematics, Year 4, Number – multiplication and division, statutory requirement Y4.MD.5
Y4.F (our numbering) · Teaching content · checked against the act

Number – fractions (including decimals)

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals)
Y4.F.1 (our numbering) · Teaching content · checked against the act

recognise and show, using diagrams, families of common equivalent fractions

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.1
Y4.F.2 (our numbering) · Teaching content · checked against the act

count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.2
Y4.F.3 (our numbering) · Teaching content · checked against the act

solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.3
Y4.F.4 (our numbering) · Teaching content · checked against the act

add and subtract fractions with the same denominator

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.4
Y4.F.5 (our numbering) · Teaching content · checked against the act

recognise and write decimal equivalents of any number of tenths or hundredths

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.5
Y4.F.6 (our numbering) · Teaching content

recognise and write decimal equivalents to 1/4, 1/2, 3/4

our summary of the point · National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.6
Y4.F.7 (our numbering) · Teaching content · checked against the act

find the effect of dividing a one-or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.7
Y4.F.8 (our numbering) · Teaching content · checked against the act

round decimals with one decimal place to the nearest whole number

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.8
Y4.F.9 (our numbering) · Teaching content · checked against the act

compare numbers with the same number of decimal places up to two decimal places

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.9
Y4.F.10 (our numbering) · Teaching content · checked against the act

solve simple measure and money problems involving fractions and decimals to two decimal places.

National Curriculum in England (2013), mathematics, Year 4, Number – fractions (including decimals), statutory requirement Y4.F.10
Y4.M (our numbering) · Teaching content · checked against the act

Measurement

National Curriculum in England (2013), mathematics, Year 4, Measurement
Y4.M.1 (our numbering) · Teaching content · checked against the act

Convert between different units of measure [for example, kilometre to metre; hour to minute]

National Curriculum in England (2013), mathematics, Year 4, Measurement, statutory requirement Y4.M.1
Y4.M.2 (our numbering) · Teaching content · checked against the act

measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres

National Curriculum in England (2013), mathematics, Year 4, Measurement, statutory requirement Y4.M.2
Y4.M.3 (our numbering) · Teaching content · checked against the act

find the area of rectilinear shapes by counting squares

National Curriculum in England (2013), mathematics, Year 4, Measurement, statutory requirement Y4.M.3
Y4.M.4 (our numbering) · Teaching content · checked against the act

estimate, compare and calculate different measures, including money in pounds and pence

National Curriculum in England (2013), mathematics, Year 4, Measurement, statutory requirement Y4.M.4
Y4.M.5 (our numbering) · Teaching content · checked against the act

read, write and convert time between analogue and digital 12-and 24-hour clocks

National Curriculum in England (2013), mathematics, Year 4, Measurement, statutory requirement Y4.M.5
Y4.M.6 (our numbering) · Teaching content · checked against the act

solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

National Curriculum in England (2013), mathematics, Year 4, Measurement, statutory requirement Y4.M.6
Y4.GPS (our numbering) · Teaching content · checked against the act

Geometry – properties of shapes

National Curriculum in England (2013), mathematics, Year 4, Geometry – properties of shapes
Y4.GPS.1 (our numbering) · Teaching content · checked against the act

compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes

National Curriculum in England (2013), mathematics, Year 4, Geometry – properties of shapes, statutory requirement Y4.GPS.1
Y4.GPS.2 (our numbering) · Teaching content · checked against the act

identify acute and obtuse angles and compare and order angles up to two right angles by size

National Curriculum in England (2013), mathematics, Year 4, Geometry – properties of shapes, statutory requirement Y4.GPS.2
Y4.GPS.3 (our numbering) · Teaching content · checked against the act

identify lines of symmetry in 2-D shapes presented in different orientations

National Curriculum in England (2013), mathematics, Year 4, Geometry – properties of shapes, statutory requirement Y4.GPS.3
Y4.GPS.4 (our numbering) · Teaching content · checked against the act

complete a simple symmetric figure with respect to a specific line of symmetry.

National Curriculum in England (2013), mathematics, Year 4, Geometry – properties of shapes, statutory requirement Y4.GPS.4
Y4.GPD (our numbering) · Teaching content · checked against the act

Geometry – position and direction

National Curriculum in England (2013), mathematics, Year 4, Geometry – position and direction
Y4.GPD.1 (our numbering) · Teaching content · checked against the act

describe positions on a 2-D grid as coordinates in the first quadrant

National Curriculum in England (2013), mathematics, Year 4, Geometry – position and direction, statutory requirement Y4.GPD.1
Y4.GPD.2 (our numbering) · Teaching content · checked against the act

describe movements between positions as translations of a given unit to the left/right and up/down

National Curriculum in England (2013), mathematics, Year 4, Geometry – position and direction, statutory requirement Y4.GPD.2
Y4.GPD.3 (our numbering) · Teaching content · checked against the act

plot specified points and draw sides to complete a given polygon.

National Curriculum in England (2013), mathematics, Year 4, Geometry – position and direction, statutory requirement Y4.GPD.3
Y4.S (our numbering) · Teaching content · checked against the act

Statistics

National Curriculum in England (2013), mathematics, Year 4, Statistics
Y4.S.1 (our numbering) · Teaching content · checked against the act

interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.

National Curriculum in England (2013), mathematics, Year 4, Statistics, statutory requirement Y4.S.1
Y4.S.2 (our numbering) · Teaching content · checked against the act

solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.

National Curriculum in England (2013), mathematics, Year 4, Statistics, statutory requirement Y4.S.2

Task templates to print

Every task type, grouped by skill. Clicking one opens the worksheet generator with it already selected.

Other task types

Put the sign between the sum and the number
How many more to make the sides equal
Missing addend (box equation) (Year 3)
A balanced scale: how much does the hidden block weigh (Year 2–3)
A box in subtraction: what number was it taken from? (Year 2–3)
Which number hides in the box (Year 2–3)
A box in a sum of three numbers (Year 3)
Fill in both boxes in turn (Year 2–3)
How many in one row
Division within the table (to 100) (Year 3)
How many packs will there be (Year 2–3)
Share into equal parts (Year 2–3)
Share them out evenly (Year 2–3)
Check the division and find the mistake (Year 3)
Division with one number too many (Year 3)
What was it divided by (division table) (Year 3)
Which sharing gives more per person (Year 3)
Perimeter of a rectangle (Year 3)
Perimeter of a rectangle on a grid (Year 2–3)
Choose the correct perimeter (Year 3)
Draw a rectangle with the given perimeter (Year 3)
Is this perimeter correct (Year 3)
Missing side of a rectangle (Year 3)
Which figure has the greater perimeter (Year 3)
Reading a clock: true or false (Year 2–3)
Reading a clock: which time is on the dial (Year 2–3)
Reading the clock (Year 3)
Correct the mistake in reading the clock (Year 2–3)
How many minutes to the full hour (Year 3)
Which clock shows the earlier time (Year 3)
Two-step word problem (combine) (Year 3)
Equal groups altogether (Year 2–3)
How many dots in the array (Year 2–3)
How many times was it taken (Year 2–3)
Multiplication table (to 100) (Year 3)
Missing factor (multiplication table) (Year 3)
Check the multiplication and find the mistake (Year 3)
Multiplication with one number too many (Year 3)
Which product is larger and by how much (Year 3)
Checking addition by subtraction (Year 2–3)
Check a subtraction by adding (Year 2–3)
Correct the mistake in checking a subtraction (Year 2–3)
How many were there before sharing (Year 2–3)
Is the check of the subtraction right? (Year 2–3)
What number was it subtracted from? Choose (Year 2–3)
What was it multiplied by (Year 2–3)
How many times you must count on to get there
Counting in steps: choose the next number (Year 1–3)
Keep counting by the same step (Year 1–3)
Count backwards in equal steps (Year 1–3)
Counting in steps: correct the wrong number (Year 2–3)
Compare the two sums
The same total, sides swapped — what is hidden
Four terms, two convenient pairs
What is missing on the other side to make it equal
Choose the convenient order (Year 2–3)
A handy order of adding: choose the correct answer (Year 2–3)
A handy order of adding: true or false (Year 2–3)
Add the easy way and explain your steps (Year 2–3)
How many squares cover the rectangle
Area and one side: how long is the other
Area by tiling: choose the correct answer
Area by tiling: true or false
Correct someone else's area
Draw a rectangle with the given area
How many tiles when one covers two squares
Area of a shape made of two rectangles
How many tiles are still missing
How much bigger is the area
How many squares cover this shape (Year 2–3)
Bar chart: how many more
How many more, from the table
Which category has the most
Difference between two rows: choose the correct answer
Difference between two rows: true or false
How many groups are above the given number
The gap between the largest and the smallest
Round to the nearest ten (Year 3)
Round to the nearest hundred (Year 3)
Jump by tens on the number line (Year 2)
Add fractions with like denominators
Subtract fractions with like denominators
Find the equivalent fraction
Find a fraction of a number
Write a decimal as a fraction
Write a fraction as a decimal
Compare decimals
Round to the nearest hundredth (Year 5–6)
Round to the nearest tenth (Year 5–6)
Find the digit in the hundredths place
Divide by 10, 100 or 1000 (Year 5–6)
Multiply by 10, 100 or 1000 (Year 5–6)
Add decimals
Subtract decimals
Add masses written as decimals
Find the opposite number (Year 6–7)
Read an integer on a number line (Year 6–7)
List all factors of a number
Add using the column method
Subtract using the column method
Multiply by a one-digit number (columns)
Estimate a sum
Convert to a larger unit of length
Convert to a smaller unit of length
Write a length in one unit
Compare bars in a bar chart
Perimeter of a polygon
Missing side from the perimeter
Classify the angle
Read the coordinates of a point (Year 5–6)
Compare multi-digit numbers
How many times as large? Place value
Minutes and seconds to seconds
How long did it last?
How many minutes have passed?
How many days is that?
How many times as large?
How many times as many?
How much greater?
Read a Roman numeral
Write a number in Roman numerals
Add the smart way
Multiply the smart way
How much money is left?
Which offer is the better deal?
Round to the nearest ten thousand
Round to the nearest thousand
Kind of triangle by its sides
Kind of triangle by its angles
What is this quadrilateral called? (Year 5–6)
Is a square also a rectangle? (Year 5–6)
Reflect a point in a line (Year 5–8)

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