Textbook in PDF format

Master essential skills and boost progress in A-level Maths with extra support and practice for every topic. This book provides structured guidance through clear explanations, worked examples and practice questions.
Improve understanding with clear explanations, worked examples and links that highlight relationships between topics
Put skills into practice and check understanding with skills-focused and problem-solving questions, plus carefully structured multiple-choice questions with detailed answers online that explain each correct and incorrect answer
Build confidence and develop awareness of potential misconceptions with ‘Be the examiner’ exercises
Learn to apply GCSE knowledge to A-level concepts with questions that bridge the gap between Key Stages 4 and 5
Identify and avoid common mistakes with worked solutions in the back of the book
Develop advanced calculator skills with links to extra online material designed to enhance understanding and develop checking strategies using a graphical calculator
Algebra
Algebra review 1
Algebra review 2
Indices and surds
Quadratic equations
Inequalities
Completing the square
Algebraic fractions
Proof
Further algebra
Functions
Polynomials
Exponentials and logs
Straight lines and logs
Sequences and series
Binomial expansions
Partial fractions
Graphs
Using coordinates
Straight line graphs
Circles
Intersections
Transformations
Modulus functions
Vectors
Numerical methods
The trapezium rule
Trigonometry
Trigonometry review
Triangles without right angles
Working with radians
Trigonometric identities
Compound angles
The form r sin(θ + α)
Calculus
Differentiation
Stationary points
Integration
Extending the rules
Calculus with other functions
The chain rule
Product and quotient rules
Integration by substitution
Integration by parts
Further calculus
Parametric equations
Statistics
Sampling and displaying data 1
Displaying data 2
Averages and measures of spread
Cumulative frequency graphs and boxplots
Grouped frequency calculations
Probability
Conditional probability
Discrete random variables
Binomial distribution
Hypothesis testing (binomial)
Normal distribution
Hypothesis testing (normal)
Bivariate data
Mechanics
Working with graphs
suvat equations
Variable acceleration
Understanding forces
Forces in a line
Using vectors
Resolving forces
Projectiles
Friction
Moments
Answers