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Throston Primary School

A Flying Start to Success


Maths is divided up into different areas and studied over the course of the year.


Each morning we complete 6 arithmetic sums when we come in to school and then a focus on times tables badges on Friday.


In Year 6 we need to know:


Number - number and 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


Number - addition, subtraction, multiplication and division

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

•             divide numbers up to 4 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 4 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 involving the 4 operations

•             solve addition and subtraction multi-step 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


Number - Fractions (including decimals and 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,   ×   =   ]

•             divide proper fractions by whole numbers [for example,   ÷ 2 =   ]

•             associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example,   ]

•             identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places

•             multiply one-digit numbers with up to 2 decimal places by whole numbers

•             use written division methods in cases where the answer has up to 2 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 and proportion

•             solve problems involving the relative sizes of 2 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 2 unknowns

•             enumerate possibilities of combinations of 2 variables



•             solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 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 3 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 shapes

•             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


Geometry - position and direction

•             describe positions on the full coordinate grid (all 4 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