CONTENTS
ii-iii Get the inside track
NUMBER
1
Factors and primes
2
Indices 1
3
Indices 2
4
5
Calculator skills 1
Fractions
6
Decimals
7
8
Estimation
Standard form
9
Recurring decimals
10
! 11
! 12
Upper and lower bounds
Accuracy and error
Surds 1
Algebraic fractions
Quadratics and fractions
Surds 2
50
! 51
Functions
Inverse functions
52
! 53
Algebraic proof
Exponential graphs
54
! 55
Gradients of curves
Velocity–time graphs
56
Areas under curves
57
Problem-solving practice 1
58
Problem-solving practice 2
RATIO & PROPORTION
59 Calculator skills 2
93
Constructions 1
94
Constructions 2
95
96
97
Loci
Congruent triangles
Similar shapes 1
98
! 99
! 100
! 101
Similar shapes 2
The sine rule
The cosine rule
Triangles and segments
102
! 103
104
105
Pythagoras in 3-D
Trigonometry in 3-D
Circle facts
Circle theorems
106 Vectors
! 107 Vector proof
13
Counting strategies
60
Ratio
14
Problem-solving practice 1
15
Problem-solving practice 2
61
62
63
Proportion
Percentage change
Reverse percentages
64
65
Growth and decay
Speed
110 Mean, median and mode
111 Frequency table averages
66
Density
112 Interquartile range
67
Other compound measures
113 Line graphs
68
Proportion and graphs
114 Scatter graphs
ALGEBRA
16
17
18
Algebraic expressions
Expanding brackets
Factorising
19
20
Linear equations 1
Linear equations 2
21
22
Formulae
Arithmetic sequences
23
! 24
iv
! 47
! 48
! 49
Solving sequence problems
Quadratic sequences
25
26
Straight-line graphs 1
Straight-line graphs 2
27
Parallel and perpendicular
28
69
! 70
Proportionality formulae
Harder relationships
71
Problem-solving practice 1
72
Problem-solving practice 2
GEOMETRY & MEASURES
Quadratic graphs
73
74
75
Angle properties
Solving angle problems
Angles in polygons
29
Cubic and reciprocal graphs
76
Pythagoras’ theorem
30
31
Real-life graphs
Quadratic equations
77
Trigonometry 1
78
! 79
80
Trigonometry 2
Exact trigonometry values
Perimeter and area
32
! 33
The quadratic formula
Completing the square
34
! 35
! 36
Simultaneous equations 1
Simultaneous equations 2
Equation of a circle
81
Units of area and volume
82
83
Prisms
Circles and cylinders
37
! 38
! 39
! 40
Inequalities
Quadratic inequalities
Trigonometric graphs
Transforming graphs
84
Sectors of circles
85
Volumes of 3-D shapes
86
Surface area
87
Plans and elevations
41
Inequalities on graphs
88
42
Using quadratic graphs
Translations, reflections
and rotations
43
Turning points
89
Enlargement
44
45
Sketching graphs
Iteration
90
Combining transformations
91
Bearings
46
Rearranging formulae
92
Scale drawings and maps
108 Problem-solving practice 1
109 Problem-solving practice 2
PROBABILITY & STATISTICS
115 Sampling
! 116 Stratified sampling
! 117 Capture–recapture
118 Cumulative frequency
119 Box plots
120 Histograms
121 Frequency polygons
122 Comparing data
123 Probability
124
125
126
! 127
Relative frequency
Venn diagrams
Set notation
Conditional probability
128 Tree diagrams
129 Problem-solving practice 1
130 Problem-solving practice 2
131 Answers
KEY
= Hot Topic
!
= Tricky Topic