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Maths in Year 6

Maths in Year 6 2021 / 22

End of Year Expectations for Maths in Year 6

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
Year 6 Maths
Number & Place Value
Read, write, order and compare numbers up to 10 000 000 and determine the value of each digit.

Round any whole number to a required degree of accuracy.

Use negative numbers in context, and calculate intervals across 0.

Solve number and practical problems that involve all of the above.
Addition & Subtraction
Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.

Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.
Multiplication & Division
Multiply multi-digit numbers up to four digits by a 2-digit whole number using the formal written method of long multiplication.

Divide numbers up to four digits by a 2-digit whole number using the formal written method of long division, and interpret remainders as whole number, remainders, fractions, or by rounding, as appropriate for the context.

Divide numbers up to four digits by a 2-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context
Use their knowledge of the order of operations to carry out calculations involving the four operations.

Solve problems involving addition, subtraction, multiplication and division.

Multiply 1-digit numbers with up to two decimal places by whole numbers
Fractions & Decimals
Use factors to simplify fractions; use common multiples to express fractions in the same denominator.

Compare and order fractions, including fractions >1.

Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.

Multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, 1/4 × 1/2 = 1/8 ] divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6]

Divide proper fractions by whole numbers

Associate a fraction with division and calculate decimal fraction equivalents

Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000

Multiply 1-digit numbers with up to two decimal places by whole numbers

Solve problems which require answers to be rounded to specified degrees of accuracy

Use equivalences between simple fractions, decimals and percentages, including in different contexts  
Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.

Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison.

Solve problems involving similar shapes where the scale factor is known or can be found.

Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.
Use simple formulae

Generate and describe linear number sequences

Express missing number problems algebraically

Find pairs of numbers that satisfy an equation with two unknowns.
Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate.

Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa,  using decimal notation to up to three decimal places.

Convert between miles and kilometres

Recognise that shapes with the same areas can have different perimeters and vice versa.

Recognise when it is possible to use formulae for area and volume of shapes

Calculate the area of parallelograms and triangles.

Calculate, estimate and compare volume of cuboids using standard units, including centimeter cubed, cubic meters and extending to other units.
Draw 2-D shapes using given dimensions and angles.

Recognise, describe and build simple 3-D shapes, including making nets.

Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons.

Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius.

Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles.

Describe positions on the full coordinate grid (all four quadrants).

Draw and translate simple shapes on the coordinate plane, and reflect them in the axes.
Interpret and construct pie charts and line graphs and use these to solve problems

Calculate and interpret the mean as an average
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