E = Extended only content Introduction
5 6
Number 1 Number 1.1 Square numbers and roots 1.2 Multiples of whole numbers 1.3 Factors of whole numbers 1.4 Prime numbers 1.5 Prime factorisation 1.6 More about HCF and LCM 1.7 Real numbers
6 8 10 12 14 16 18
2 Fractions and percentages 2.1 Equivalent fractions 2.2 Fractions and decimals E 2.3 Recurring decimals 2.4 Percentages, fractions and decimals 2.5 Calculating a percentage 2.6 Increasing or decreasing quantities by a percentage 2.7 One quantity as a percentage of another 2.8 Simple interest and compound interest E 2.9 A formula for compound interest E 2.10 Reverse percentage
34 36 38
3 The four rules 3.1 Order of operations 3.2 Choosing the correct operation 3.3 Finding a fraction of a quantity 3.4 Adding and subtracting fractions 3.5 Multiplying and dividing fractions
40 42 44 46 48
4 Directed numbers 4.1 Introduction to directed numbers 4.2 Everyday use of directed numbers 4.3 The number line 4.4 Adding and subtracting directed numbers 4.5 Multiplying and dividing directed numbers 5 Squares and cubes 5.1 Squares and square roots 5.2 Cubes and cube roots E 5.3 Exponential growth and decay
20 22 24 26 28 30 32
50 52 54 56 58
60 62 64
Ordering and set notation 6.1 Inequalities E 6.2 Sets E 6.3 Venn diagrams 7 Ratio, proportion and rate 7.1 Ratio E 7.2 Increases and decreases using ratios 7.3 Speed 7.4 Rates 7.5 Direct proportion 7.6 Inverse proportion 8 Estimation and limits of accuracy 8.1 Rounding whole numbers 8.2 Rounding decimals 8.3 Rounding to significant figures 8.4 Upper and lower bounds E 8.5 Upper and lower bounds for calculations 9 Standard form 9.1 Standard form 9.2 Calculating with standard form
66 68 70
72 74 76 78 80 82
84 86 88 90 92
94 96
10 Applying number and using calculators 10.1 Units of measurement 98 10.2 Converting between metric units 100 10.3 Time 102 10.4 Currency conversions 104 10.5 Using a calculator efficiently 106
Algebra 11 Algebraic representations and formulae 11.1 The language of algebra 108 11.2 Substitution into formulae 110 11.3 Rearranging formulae 112 E 11.4 More complicated formulae 114 12 Algebraic manipulation 12.1 Simplifying expressions 12.2 Expanding brackets 12.3 Factorisation E 12.4 Multiplying two brackets E 12.5 Quadratic factorisation E 12.6 Algebraic fractions
Cambridge IGCSEŽ Maths Teacher Guide Š HarperCollinsPublishers Ltd 2015
116 118 120 122 124 126