Complete Mathematics for Cambridge IGCSE® Extended
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Description
Contents
Reviews
Language
English
ISBN
9780198428060
Front Cover
Title Page
Contents
Syllabus matching grid
Introduction
1 Number
1.1 Arithmetic
1.2 Number facts and sequences
1.3 Approximations and estimation
1.4 Standard form
1.5 Ratio and proportion
1.6 Percentages
1.7 Speed, distance and time
1.8 Mixed problems
1.9 Calculator
Revision exercise 1A
Examination-style exercise 1B
2 Algebra 1
2.1 Negative numbers
2.2 Directed numbers
2.3 Formulae
2.4 Brackets and simplifying
2.5 Linear equations
2.6 Problems solved by linear equations
2.7 Simultaneous equations
2.8 Problems solved by simultaneous equations
2.9 Factorising
2.10 Quadratic equations
2.11 Problems solved by quadratic equations
2.12 Non-linear simultaneous equations
Revision exercise 2A
Examination-style exercise 2B
3 Mensuration
3.1 Area
3.2 The circle
3.3 Arc length and sector area
3.4 Chord of a circle
3.5 Volume
3.6 Surface area
Revision exercise 3A
Examination-style exercise 3B
4 Geometry
4.1 Fundamental results
4.2 Pythagoras’ theorem
4.3 Symmetry
4.4 Similarity
4.5 Congruence
4.6 Circle theorems
4.7 Constructions
4.8 Nets
Revision exercise 4A
Examination-style exercise 4B
5 Algebra 2
5.1 Algebraic fractions
5.2 Changing the subject of a formula
5.3 Variation
5.4 Indices
5.5 Inequalities
5.6 Linear programming
Revision exercise 5A
Examination-style exercise 5B
6 Trigonometry
6.1 Right-angled triangles
6.2 Scale drawing
6.3 Three-dimensional problems
6.4 Sine, cosine and tangent for any angle
6.5 The sine rule
6.6 The cosine rule
Revision exercise 6A
Examination-style exercise 6B
7 Graphs
7.1 Drawing accurate graphs
7.2 Gradients
7.3 The form y = mx + c
7.4 Plotting curves
7.5 Interpreting graphs
7.6 Graphical solution of equations
7.7 Distance–time graphs
7.8 Speed–time graphs
7.9 Differentiation
Revision exercise 7A
Examination-style exercise 7B
8 Sets, Vectors, Functions and Transformations
8.1 Sets
8.2 Logical problems
8.3 Vectors
8.4 Column vectors
8.5 Vector geometry
8.6 Functions
8.7 Simple transformations
8.8 Combined transformations
Revision exercise 8A
Examination-style exercise 8B
9 Statistics
9.1 Data display
9.2 Mean, median and mode
9.3 Scatter graphs
9.4 Box-and-whisker plots
9.5 Cumulative frequency
9.6 Comparing data sets
Revision exercise 9A
Examination-style exercise 9B
10 Probability
10.1 Simple probability
10.2 Relative frequency
10.3 Exclusive and independent events
10.4 Tree diagrams
10.5 Probability from Venn diagrams
10.6 Conditional probability
Revision exercise 10A
Examination-style exercise 10B
11 Investigations, Practical Problems, Puzzles
11.1 Investigations
11.2 Practical problems
11.3 Puzzles and experiments
12 Revision Tests
Examination-style Paper 2
Examination-style Paper 4
Answers
Index
Back Cover
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