Pemberton Mathematics for Cambridge IGCSE® Extended

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Description

Contents

Reviews

Language

English

ISBN

9780198428466

Front Cover

Title Page

Contents

Syllabus matching grid

About this book

Unit 1

Order of operations

Directed numbers

Multiples, factors, primes, squares and cubes

Four rules for fractions

Significant figures and decimal places

Simplifying algebraic expressions

Solving linear equations

Constructing formulae

Substitution into formulae

Gradients and straight line graphs

Angle properties

Symmetry

Polygons

Averages and range

Frequency tables

Examination-style questions

Unit 2

Percentages 1

Ratio

Indices 1

Solving linear inequalities

Manipulating algebraic fractions

The general equation of a straight line

Representing linear inequalities on graphs

Perimeter and area

Pythagoras

Area and circumference of a circle

Displaying data

Examination-style questions

Unit 3

Standard form

Simultaneous equations 1

Factorising 1

Rearranging formulae 1

Similar triangles

Reflections, rotations and translations

Enlargements

Surface area and volume 1

Probability 1

Examination-style questions

Unit 4

Percentages 2

Expanding double brackets

Quadratic graphs

Bearings

Trigonometry

Scatter diagrams

Examination-style questions

Unit 5

Direct and inverse proportion

Increase and decrease in a given ratio

Functions

Factorising 2

Cubic graphs

Surface area and volume 2

Areas of similar shapes

Volumes of similar objects

Grouped frequency tables

Examination-style questions

Unit 6

Percentages 3

Speed, distance and time

Sets and Venn diagrams

Indices 2

Solving quadratic equations by factorisation

Reciprocal graphs

The gradients of perpendicular lines

Circle theorems

Probability 2

Examination-style questions

Unit 7

Distance–time graphs

Speed–time graphs

Rearranging formulae 2

Sequences

Exponential graphs

Sine and cosine ratios up to 180°

Area of a triangle

Cumulative frequency

Examination-style questions

Unit 8

Rational and irrational numbers

Solving quadratic equations using the formula

Further algebraic fractions

Variation

The sine and cosine rules

Histograms

Examination-style questions

Unit 9

Compound interest and exponential growth and decay

Simultaneous equations 2

Linear programming

Solving quadratic equations by completing the square

Finding turning points of quadratics by completing the square

Using graphs to solve equations

Vectors and vector geometry

Probability 3

Examination-style questions

Unit 10

Upper and lower bounds

Solving simultaneous 3

Differentiation

Expanding more than two brackets

Trigonometric equations and graphs

Circle theorems 2

Distance from a point to a line

Stem-and-leaf diagrams

Box-and-whisker plots

Examination-style questions

Answers

Index

Back Cover

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