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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