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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