By the end of Year Six, children should be able to:

• Use negative numbers to calculate intervals across zero
• Divide numbers using long division, interpreting the remainders as appropriate
• Use order of operations to carry out calculations
• Use common factors to simplify fractions
• Compare and order fractions of any size
• Add and subtract fractions with different denominators and mixed numbers
• Multiply simple pairs of proper fractions
• Divide proper fractions by whole numbers
• Calculate decimal fraction equivalents for simple fractions
• Multiply a number with up to two decimal places by whole numbers
• Use written division with answers of up to two decimal places
• Solve problems involving the calculation of percentages
• Recall and use equivalences between fractions, decimals and percentages
• Solve problems using ratio using multiplication and division facts
• Solve problems involving similar shapes where the scale factor is known
• Solve problems involving proportion, using knowledge of fractions and multiples
• Use simple formulae
• Generate and describe linear number sequences
• Express missing number problems algebraically
• Convert units of measure between smaller and larger units
• Convert between miles and kilometres
• Calculate the area of parallelograms and triangles
• Calculate and compare volume of cubes and cuboids
• Illustrate and name parts of a circle
• Finding missing angles in triangles, quadrilaterals and regular polygons
• Recognise vertically opposite angles and find missing angles
• Describe positions on the full co-ordinate grid
• Translate shapes on a co-ordinate grid and reflect in the axes
• Construct and interpret pie charts
• Calculate the mean as an average