By the end of Year 3 most children should be able to:
Number and Place Value

count from 0 in 2s, 3s, 4s, 5s, 8s, 10s, 50s and 100s

find 10 or 100 more or less than a given number

recognise the place value of each digit in a threedigit number (hundreds, tens, ones)

compare and order numbers up to 1000

identify, represent and estimate numbers in different ways (objects, money, tallies etc)

read and write numbers up to 1000 in numerals and in words

solve number problems and practical problems involving these ideas
Addition and Subtraction

add and subtract numbers mentally, including:

a threedigit number and ones

a threedigit number and tens

a threedigit number and hundreds

add and subtract numbers with up to three digits, using formal written methods of column addition and subtraction

estimate the answer to a calculation and use inverse operations to check answers (e.g. using addition to check a subtraction number sentence)

solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.
Multiplication and Division

recall and use multiplication and division facts for the 2, 3, 4, 5, 8 and 10 times tables

solve multiplication and division number sentences using the times tables they know using mental methods.

solve multiplication number sentences, including twodigit numbers multiplied by a onedigit number, using a formal written method.

solve problems, including those with missing numbers, scaling up and down (e.g. making 3 times bigger), and correspondence problems in which n objects are connected to m objects.
Fractions

count up and down in tenths

recognise that tenths arise from dividing an object into 10 equal parts and in dividing onedigit numbers or quantities by 10

recognise, find and write fractions of a set of objects, including unit fractions and nonunit fractions with small denominators

recognise and use fractions as numbers, including unit fractions and nonunit fractions with small denominators

recognise and show, using diagrams, equivalent fractions with small denominators

add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7]

compare and order unit fractions, and fractions with the same denominators

solve problems that involve all of the above.
Measurement

measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

measure the perimeter of simple 2D shapes

add and subtract amounts of money to give change, using both £ and p in practical contexts

tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12hour and 24hour clocks

estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight

know the number of seconds in a minute and the number of days in each month, year and leap year
Properties of shapes

draw 2D shapes and make 3D shapes using modelling materials; recognise 3D shapes in different orientations and describe them

recognise angles as a property of shape or a description of a turn

identify right angles, recognise that two right angles make a halfturn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle

identify horizontal and vertical lines and pairs of perpendicular and parallel lines.
Statistics

interpret and present data using bar charts, pictograms and tables

solve onestep and twostep questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables.
Year 3