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Maths in Year 3

Maths in Year 3 2021 / 22

End of Year Expectations for Maths in Year 3

Please note that in line with the progress children make this list is subject to change and the objectives
are not necessarily taught in the order listed below.

The National Curriculum for mathematics aims to ensure that all pupils:

  • Become FLUENT in Maths, meaning they are able to calculate quickly and effectively using both mental and written methods,
  • Are able to REASON and EXPLAIN mathematically, meaning they can think logically about Maths, link different pieces of learning, and demonstrate their understanding of a concept through explanation,
  • Are able to SOLVE PROBLEMS, demonstrating that they can use their mathematical understanding to evaluate, understand and solve a variety of mathematical problems. For more information on our problem solving strategies, please refer to the Hutton Rudby Primary School Problem Solving Policy, which can be found at

Maths in Year 3
Number and Place Value
Count from 0 in multiples of 4, 8, 50 and 100.

Find 10 or 100 more or less than a given number

Identify, represent and estimate numbers using different representations.

Recognise the place value of each digit in a three digit number (hundreds, tens, ones).

Compare and order numbers up to 1000

Read and write numbers up to 1000 in numerals and in words.

Solve number problems and practical problems involving these ideas.
Count from 0 in multiples of 50 and 100
Addition & Subtraction
Add and subtract numbers mentally, including:
a three-digit number and ones;
a three-digit number and tens;
a three digit number and hundreds.

Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction.

Estimate the answer to a calculation and use inverse operations to check answers.

Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction
Multiplication & Division
Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.

Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objectives.

Write and calculate mathematical statements for multiplication and division using the multiplication tables they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators.

Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators.

Count up and down in tenths.

Recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10.

Recognise and show, using diagrams, equivalent fractions with small denominators.

Add and subtract fractions with the same denominator within one whole.

Compare and order unit fractions, and fractions with the same denominators.

Solve problems that involve all of the above.
Measure, compare, add and subtract: lengths (m/cm/mm), mass (kg/g); volume/capacity (l/ml).

Measure the perimeter of simple 2-D 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 12-hour and 24-hour 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.

Compare durations of events (for example to calculate the time taken by particular events or tasks).

Continue to measure using the appropriate tools and units, progressing to using a wider range of measures, including comparing and using mixed units (for example, 1kg and 200g) and simple equivalents of mixed units (for example, 5m = 500cm).
Recognise angles as a property of shape or a description of a turn.

Identify right angles, recognise that two right angles make a half-term, 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.

Draw 2-D shapes and make 3-D shapes using modelling materials.

Recognise 3-D shapes in different orientations and describe them.
Interpret and present data using bar charts, pictograms and tables.

Solve one-step and two-step questions (for example, ‘How many more?’ and ‘How many fewer?’) using information presented in scaled bar charts and pictograms and tables.
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