Each chapter keeps explanations, definitions and exam advice together—without mixing in quizzes or practice questions.
CHAPTER 1
Number
Work confidently with integers, fractions, percentages, standard form, bounds and ratio.
Keep full calculator values until the final answer, then round once.
CHAPTER 2
Algebra and graphs
Simplify expressions, solve equations and inequalities, work with sequences and interpret functions and graphs.
Show every rearrangement clearly so method marks are visible.
CHAPTER 3
Coordinate geometry
Use coordinates, gradients and equations to describe straight lines and their relationships.
In y = mx + c, m is the gradient and c is the y-intercept.
CHAPTER 4
Geometry
Use angle facts, similarity, congruence, constructions and circle theorems to solve problems.
Give a geometrical reason for each angle you calculate.
CHAPTER 5
Mensuration
Find lengths, areas and volumes for 2D shapes, solids, arcs and sectors.
Check whether the question needs square or cubic units.
CHAPTER 6
Trigonometry
Apply Pythagoras, sine, cosine, tangent and sine and cosine rules in two and three dimensions.
Label opposite, adjacent and hypotenuse from the chosen angle.
CHAPTER 7
Transformations and vectors
Describe transformations precisely and calculate with vectors in two dimensions.
A complete transformation description includes every defining detail.
CHAPTER 8
Probability
Calculate single and combined probabilities using diagrams, tables and conditional information.
Probabilities of all possible outcomes add to 1.
CHAPTER 9
Statistics
Represent, compare and interpret data using averages, charts, cumulative frequency and histograms.
Frequency density is frequency divided by class width.