Cambridge IGCSE® Complete Mathematics Extended: Student Book Sixth Edition
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Description
Contents
Reviews
Language
English
ISBN
9781382042536
Contents
Introduction
1. Number 1
1.1 Arithmetic
1.2 Negative numbers
1.3 Number facts
1.4 Sequences
1.5 Approximations and estimation
1.6 Indices 1
1.7 Standard form
1.8 Surds
1.9 Calculator
Revision exercise
Examination-style exercise
2. Algebra 1
2.1 Substitution
2.2 Brackets and simplifying
2.3 Solving linear equations
2.4 Problems solved by linear equations
2.5 Simultaneous equations
2.6 Problems solved by simultaneous equations
Revision exercise
Examination-style exercise
3. Number 2
3.1 Ratio and proportion
3.2 Map scales
3.3 Percentages
3.4 Financial mathematics
3.5 Time
3.6 Rates
Revision exercise
Examination-style exercise
4. Trigonometry 1
4.1 Pythagoras’ theorem
4.2 Trigonometry
4.3 Bearings
4.4 Angles of elevation and depression
4.5 Scale drawing
4.6 Three-dimensional trigonometry
Revision exercise
Examination-style exercise
5. Mensuration
5.1 Area
5.2 The circle
5.3 Arc length and sector area
5.4 Chords and segments
5.5 Volume
5.6 Surface area
5.7 Similarity
Revision exercise
Examination-style exercise
6. Algebra 2
6.1 Factorising
6.2 Quadratic equations
6.3 Solving problems using quadratic equations
6.4 Nonlinear simultaneous equations
Revision exercise
Examination-style exercise
7. Geometry
7.1 Angles
7.2 Symmetry
7.3 Circle theorems
7.4 Constructions
7.5 Nets
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Examination-style exercise
8. Algebra 3
8.1 Algebraic fractions
8.2 Changing the subject of a formula
8.3 Proportion
8.4 Indices 2
8.5 Inequalities
Revision exercise
Examination-style exercise
9. Graphs
9.1 Drawing linear graphs
9.2 Coordinate geometry
9.3 Equations of straight lines
9.4 Plotting curves
9.5 Interpreting graphs
9.6 Graphical solutions of equations
9.7 Differentiation
Revision exercise
Examination-style exercise
10. Trigonometry 2
10.1 Sine, cosine and tangent for any angle
10.2 The sine rule
10.3 The cosine rule
Revision exercise
Examination-style exercise
11. Sets and functions
11.1 Sets
11.2 Logical problems
11.3 Functions
11.4 Composite and inverse functions
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Examination-style exercise
12. Vectors and transformations
12.1 Vectors
12.2 Column vectors
12.3 Vector geometry
12.4 Simple transformations
12.5 Combined transformations
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Examination-style exercise
13. Statistics
13.1 Pictograms, bar charts and pie charts
13.2 Averages and spread
13.3 Stem-and-leaf, frequency polygons and histograms
13.4 Scatter diagrams
13.5 Cumulative frequency
13.6 Comparing data sets
Revision exercise
Examination-style exercise
14. Probability
14.1 Simple probability
14.2 Relative frequency
14.3 Mutually exclusive and independent events
14.4 Tree diagrams
14.5 Probability from Venn diagrams
14.6 Conditional probability
Revision exercise
Examination-style exercise
Answers
Index
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