Year 6 expectations Number and place Addition and subtraction, Fractions (including Ratio and value multiplication and division decimals and percentages) proportion Year 6 pupils should be read, write, order and multiply multi-digit numbers use common factors to solve problems taught to: compare up to four digits simplify fractions; use involving the numbers up to by a two-digit whole number common multiples to relative sizes of 10,000,000 and using the formal express fractions in the two quantities determine the value written method of long same denomination where missing of each digit multiplication compare and order values can any whole divide numbers up to four fractions, including fractions be found by number to a digits by a two-digit >1 using integer required degree of whole number using the add and subtract fractions multiplication and accuracy formal written method with different division use negative of long division, and denominators and mixed facts numbers in context, interpret remainders as numbers, using the solve problems and whole number remainders, concept of equivalent involving the calculate intervals fractions, or by fractions calculation of across zero rounding, as appropriate for multiply simple pairs of percentages number and the context proper fractions, writing [e.g. of practical problems divide numbers up to four the answer in its simplest measures, and that involve all of the digits by a two-digit form [e.g. 1⁄4 ° 1⁄2 = such above number using the formal as 15% of 360] 1⁄8] written method of divide proper fractions by and the use of short division where whole numbers [e.g. percentages for appropriate, interpreting 1⁄3 ÷ 2 = 1⁄6] comparison remainders according to the associate a fraction with solve problems context division and calculate involving perform mental decimal fraction equivalents similar shapes calculations, including with [e.g. 0.375] for a where the scale mixed operations and large simple fraction [e.g. 3⁄8] factor is known numbers identify the value of each or can be found identify common factors, digit in numbers given solve problems common multiples and to three decimal places and involving prime numbers multiply and divide unequal sharing use their knowledge of the numbers by 10, 100 and and grouping order of operations 1000, giving answers up to using knowledge to carry out calculations three decimal places
Year 6 expectations Number and place value Addition and subtraction, multiplication and division Fractions (including decimals and percentages) Ratio and proportion Year 6 pupils should be taught to: read, write, order and compare numbers up to 10,000,000 and determine the value of each digit any whole number to a required degree of accuracy use negative numbers in context, and calculate intervals across zero number and practical problems that involve all of the above multiply multi-digit numbers up to four digits by a two-digit whole number using the formal written method of long multiplication divide numbers up to four digits by a two-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 two-digit 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 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 [e.g. 1⁄4 ° 1⁄2 = 1⁄8] divide proper fractions by whole numbers [e.g. 1⁄3 ÷ 2 = 1⁄6] associate a fraction with division and calculate decimal fraction equivalents [e.g. 0.375] for a simple fraction [e.g. 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 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 [e.g. 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
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