Complete Mathematics for Cambridge IGCSE® Extended
$38.99

Complete Mathematics for Cambridge IGCSE® Extended

By David Rayner, Ian Bettison, Mathew Taylor
US$ 38.99
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Book Description

Build confidence for the Extended part of the latest Cambridge IGCSE syllabus (0580) with the trusted and rigorous approach of Complete Mathematics, now in its Fifth Edition. From renowned author David Rayner, the practice-based approach ensures top Cambridge IGCSE results.

Table of Contents
  • 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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