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.