1 Number

The ordinary processes of number manipulation The ‘four operations’ and combination of them by use of brackets

Prime numbers, factors, multiples To include finding HCF and LCM in simple cases

Indices, powers and roots Use index notation and index laws for multiplication and division involving integer, fractional and negative powers

Simple manipulation of surds Students should understand what surds represent and their use for exact answers Manipulation will be simple For example: 5√3 + 2√3 = 7√3; √48 = 4√3; 10 × 1/√5 = 2√5

Rationalising the denominator For example: 15/(√7 − 2)

Natural numbers, integers and rational and irrational numbers Recognitions of these sets Proofs of irrationality will not be required

Weights, measures and money Carry out calculations using standard units of mass, length, area, volume and capacity, time and average speed Metric and SI units only Carry out calculations using money, including converting between currencies (where conversion is required, the rate of conversion will always be given)

Fractions, decimals, ratio, proportion and percentage Students will be expected to interchange any of these methods of fractional representation and to select the most appropriate to given situations Ratios and proportions are required in, at most, three proportions, i.e. a : b or a : b : c Students will be expected to use the four operations with fractions and decimals, and use percentages, ratio and/or proportion in problems

Expressing numbers to a given degree of accuracy Correction to a given number of decimal places or significant figures

Solve problems using upper and lower bounds where values are given to a degree of accuracy

Numbers in standard form a × 10^n, where n is an integer and 1 ≤ a < 10 Solve problems involving standard form Questions may involve the application of any of the techniques listed in 1 to problems of everyday personal, domestic or community life