Year 6 New Curriculum
Year 6 New Curriculum
Year 6 Maths Objectives from New Curriculum (Statutory)

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 zero 
solve number and practical problems that involve all of the above. 
Addition, Subtraction, Multiplication, Division 
multiply multidigit numbers up to 4 digits by a twodigit whole number using the formal written method of long multiplication 
divide numbers up to 4 digits by a twodigit 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 4 digits by a twodigit number using the formal written method of short division where appropriate, interpreting remainders according to the context 
perform mental calculations, including with mixed operations and large numbers 
identify common factors, common multiples and prime numbers 
use their knowledge of the order of operations to carry out calculations involving the four operations 
solve addition and subtraction multistep problems in contexts, deciding which operations and methods to use and why 
solve problems involving addition, subtraction, multiplication and division 
use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy. 
Fractions (& Decimals, Percentages) 
use common factors to simplify fractions; use common multiples to express fractions in the same denomination 
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] 
associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8] 
identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places 
multiply onedigit numbers with up to two decimal places by whole numbers 
use written division methods in cases where the answer has up to two decimal places 
solve problems which require answers to be rounded to specified degrees of accuracy 
recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. 
Ratio & Proportion 
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. 
Algebra 
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 
enumerate possibilities of combinations of two variables. 
Measurement 
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 cubes and cuboids using standard units, including cubic centimetres (cm3) and cubic metres (m3), and extending to other units [for example, mm3 and km3]. 
Geometry – Properties of Shape 
draw 2D shapes using given dimensions and angles 
recognise, describe and build simple 3D 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. 
Geometry – Position & Direction 
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. 
Statistics 
interpret and construct pie charts and line graphs and use these to solve problems 
calculate and interpret the mean as an average. 