Year 6 maths - New Curriculum, 2015

These are the types of maths questions that children aged 9 to 10 in year 6, should be able to answer. Clickable resources not ready yet.


Strand Ref Know how to e.g.
Number 6N2

Read, write, order and compare numbers up to 10,000,000

  6N3

Determine the value of each digit in numbers up to 10,000,000

  6N4

Round any whole number to a required degree of accuracy

  6N5

Use negative numbers in context, and calculate intervals across zero

  6N6

Solve number problems and practical problems that involve 6N2-6N5

CALCULATIONS
(+, –, ÷, ×)
6C3

Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

  6C4

Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

  6C5

Identify common factors, common multiples and prime numbers

  6C6

Perform mental calculations, including with mixed operations and large numbers

  6C7a

Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication

  6C7b

Divide numbers up to 4 digits by a two-digit number using the formal written method of short division and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context

  6C7c

Divide numbers up to 4 digits by a two digit number using the formal written method of short division where appropriate, interpreting remainders according to the context

  6C8

Solve problems involving addition, subtraction, multiplication and division

  6C9

Use their knowledge of the order of operations to carry out calculations involving the four operations

Strand Ref Know how to e.g.
FRACTIONS 6F2

Use common factors to simplify fractions; use common multiples to express fractions in the same denomination

  6F3

Compare and order fractions, including fractions >1

  6F4

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

  6F5a

Multiply simple pairs of proper fractions, writing the answer in its simplest form [eg: ¼ × ½= ⅛]

  6F5b

Divide proper fractions by whole numbers [eg: ⅓ ÷ 2 = ⅙]

  6F6

Associate a fraction with division to calculate decimal fraction equivalents (eg: 0.375) for a simple fraction [eg: ⅜ ]

  6F9a

Identify the value of each digit to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places

  6F9b

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

  6F9c

Use written division methods in cases where the answer has up to two-decimal places

  6F10

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

  6F11

Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts

Ratio and proportion 6R1

Solve problems involving the relative sizes of two quantities, where missing values can be found by using integer multiplication and division facts

  6R2

Solve problems involving the calculation of percentages [eg: of measures such as 15% of 360] and the use of percentages for comparison

  6R3

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

  6R4

Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

ALGEBRA 6A1

Express missing number problems algebraically

  6A2

Use simple formulae

  6A3

Generate and describe linear number sequences

  6A4

Find pairs of numbers that satisfy an equation with two unknowns

  6A5

Enumerate possibilities of combinations of two variables

MEASUREMENT 6M5

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 of up to three decimal places

  6M6 Convert between miles and kilometres
  6M7a

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

  6M7b

Calculate the area of parallelograms and triangles

  6M7c

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

  6M8a

Calculate, estimate and compare volume of cubes and cuboids using standard units, including centimetre cubed (cm³) and cubic metres (m³), and extending to other units [eg: mm³ and km³]

  6M8b

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

  6M9

Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate

GEOMETRY:Properties of shapes 6G2a

Compare and classify geometric shapes based on their properties and sizes

  6G2b

Describe simple 3-D shapes

  6G3a

Draw 2-D shapes using given dimensions and angles

  6G3b

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

  6G4a

Find unknown angles in any triangles, quadrilaterals and regular polygons

  6G4b

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

  6G5

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

GEOMETRY position and direction 6P2

Draw and translate simple shapes on the co-ordinate plane, and reflect them in the axes

  6P3

Describe positions on the full co-ordinate grid (all four quadrants)

STATISTICS 6S1

Interpret and construct pie charts and line graphs and use these to solve problems

  6S3

Calculate and interpret the mean as an average


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