Mathematics for Cambridge IGCSE – Sue Pemberton – 3rd Edition

Syllabus matching grid
About this book
Unit 1
Number
Order of operations
Directed numbers
Multiples, factors, primes, squares and cubes
Four rules for fractions
Significant figures and decimal places
Algebra
Simplifying algebraic expressions
Solving linear equations
Constructing formulae
Substitution into formulae
Gradients and straight line graphs
Shape and Space
Angle properties
Symmetry
Polygons
Probability and Statistics
Averages and range
Frequency tables
Examination-style questions
Unit 2
Percentages 1
Percentages 1
Ratio
Algebra
Indices 1
Solving linear inequalities
Manipulating algebraic fractions
The general equation of a straight line
Representing linear inequalities
Shape and Space
Perimeter and area
Pythagoras
Area and circumference of a circle
Probability and Statistics
Displaying data
Examination-style questions
Unit 3
Number
Standard form
Algebra
Simultaneous equations 1
Factoring 1
Rearranging formulae 1
Shape and Space
Similar triangles
Reflections, rotations and translations
Enlargements
Surface area and volume 1
Probability and Statistics
Probability 1
Examination-style questions
Unit 4
Percentages 2
Percentages 2
Algebra
Expanding double brackets
Quadratic graphs
Shape and Space
Bearings
Trigonometry
Angles of elevation and depression
Probability and Statistics
Scatter diagrams
Examination-style questions
Unit 5
Number
Direct and inverse proportion
Increase and decrease in a given ratio
Algebra
Functions
Factorizing 2
Cubic graphs
Shape and Space
Surface area and volume 2
Areas of similar shapes
Volumes of similar objects
Probability and Statistics
Grouped frequency tables
Examination-style questions
Unit 6
Number
Percentages 3
Speed, distance and time
Algebra
Sets and Venn diagrams
Solving quadratic equations by factorisation
Reciprocal graphs
The gradients of perpendicular lines
Shape and Space
Circle theorems
Probability and Statistics
Probability 2
Examination-style questions
Unit 7
Number
Distance–time graphs
Speed–time graphs
Algebra
Rearranging formulae 2
Sequences
Exponential graphs
Shape and Space
Sine and cosine ratios for angles up to 180°
Area of a triangle
Probability and Statistics
Cumulative frequency
Examination-style questions
Unit 8
Number
Rational and irrational numbers
Algebra
Solving quadratic equations using the formula
Further algebraic fractions
Variation
Shape and Space
The sine and cosine rules
Probability and Statistics
Histograms
Examination-style questions
Unit 9
Number
Compound interest and exponential growth and decay
Algebra
Simultaneous equations 2
Linear programming
Solving quadratic equations by completing the square
Finding turning points of quadratics
Forming and solving equations
Using graphs to solve equations
Shape and Space
Vectors and vector geometry
Probability and Statistics
Probability 3
Examination-style questions
Unit 10
Number
Upper and lower bounds
Algebra
Simultaneous equations 3
Differentiation
More than two brackets
Trigonometric equations and graphs
Shape and Space
Circle theorems 2
Distance from a point to a line
Probability and Statistics
Stem-and-leaf diagrams
Box-and-whisker plots
Examination-style questions
Answers
Index