Cambridge International Mathematics

Table of contents 7

SYMBOLS AND NOTATION

USED IN THIS BOOK 6

GRAPHICS CALCULATOR

INSTRUCTIONS 11

ASSUMED KNOWLEDGE (NUMBER) 29

ASSUMED KNOWLEDGE

(GEOMETRY AND GRAPHS) 30

1 ALGEBRA

(EXPANSION AND FACTORISATION) 31

A Basic calculations 12

B Basic functions 13

C Secondary function and alpha keys 17

D Memory 17

E Lists 19

F Statistical graphs 21

G Working with functions 22

H Two variable analysis 26

A Number types CD

B Operations and brackets CD

C HCF and LCM CD

D Fractions CD

E Powers and roots CD

F Ratio and proportion CD

G Number equivalents CD

H Rounding numbers CD

I Time CD

A Angles CD

B Lines and line segments CD

C Polygons CD

D Symmetry CD

E Constructing triangles CD

F Congruence CD

G Interpreting graphs and tables CD

A The distributive law 32

B The product 33

C Difference of two squares 35

D Perfect squares expansion 37

E Further expansion 39

F Algebraic common factors 40

G Factori g with common factors 42

H Difference of two squares factorisation 45

I Perfect squares factorisation 47

()()abcd++

sin

J Expressions with four terms 48

K Factori g 49

L Splitting the middle term 51

M Miscellaneous factorisation 54

Review set 1A 55

Review set 1B 56

A Set notation 57

B Special number sets 60

C Interval notation 61

D Venn diagrams 63

E Union and inter tion 65

F Problem solving 69

Review set 2A 72

Review set 2B 73

A Solving linear equations 75

B Solving equations with fractions 80

C Forming equations 83

D Problem solving u g equations 85

E Power equations 87

F Interpreting linear inequalities 88

G Solving linear inequalities 89

Review set 3A 91

Review set 3B 92

A Angle properties 93

B Triangles 98

C Isosceles triangles 100

D The interior angles of a polygon 103

E The exterior angles of a polygon 106

Review set 4A 107

Review set 4B 109

A Statistical graphs 112

B Graphs which compare data 116

C U g techno y to graph data 119

Review set 5A 120

Review set 5B 122

A Exponent or index notation 123

B Exponent or index laws 126

C Zero and negative indices 129

D S dard form 131

E Surds 134

sin

sec

sin

sin log

tan

xbxcX¡¡ ¡¡++

2 SETS 57

3 ALGEBRA

(EQUATIONS AND INEQUALITIES) 75

4 LINES, ANGLES AND POLYGONS 93

5 GRAPHS, CHARTS AND TABLES 111

6 EXPONENTS AND SURDS 123

TABLE OF CONTENTS

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Y:\HAESE\IGCSE01\IG01_00\007IGCSE01_00.CDR Friday, 21 November 2008 12:29:38 PM PETER