Complete Mathematics for Cambridge IGCSE® Student Book (Extended)

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 solves 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
7.57.5: 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 and functions
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