Contents
Contents How to use this book Acknowledgements
5 6
1.1 Irrational numbers 7 1.2 Standard form 9 1.3 Indices 11
2 Expressions and formulae 2.1 2.2 2.3 2.4
Substituting into expressions Constructing expressions Expressions and indices Expanding the product of two linear expressions 2.5 Simplifying algebraic fractions 2.6 Deriving and using formulae
13 16 23 26 29 33
7 Shapes and measurements
7.1 Circumference and area of a circle 7.2 Areas of compound shapes 7.3 Large and small units
SA
ultiplying and dividing by powers of 10 M Multiplying and dividing decimals Understanding compound percentages Understanding upper and lower bounds
37 41 45 50
81 86 92
8 Fractions
8.1 Fractions and recurring decimals 8.2 Fractions and the correct order of operations 8.3 Multiplying fractions 8.4 Dividing fractions 8.5 Making calculations easier
M
3 Decimals, percentages and rounding 3.1 3.2 3.3 3.4
6.1 Data collection and sampling 77 6.2 Bias 78
PL E
1 Number and calculation
6 Statistical investigations
97
100 103 107 111
9 Sequences and functions 9.1 Generating sequences 9.2 Using the nth term 9.3 Representing functions
114 118 122
4 Equations and inequalities
10 Graphs
4.1 Constructing and solving equations 55 4.2 Simultaneous equations 59 4.3 Inequalities 63
10.1 Functions 127 10.2 Plotting graphs 129 10.3 Gradient and intercept 131 10.4 Interpreting graphs 133
5 Angles 5.1 5.2 5.3 5.4 5.5
Calculating angles 66 Interior angles of polygons 68 Exterior angles of polygons 71 Constructions 72 Pythagoras’ theorem 74
11 Ratio and proportion 11.1 Using ratios 11.2 Direct and inverse proportion
137 141
3 Original material © Cambridge University Press 2021. This material is not final and is subject to further changes prior to publication.
