1. Number & Numeration

• Number bases

• Fractions, decimals, percentages

• Indices and logarithms

• Surds

• Standard form

2. Algebra

• Algebraic expressions

• Factorization

• Quadratic equations

• Inequalities

• Simultaneous equations

• Sequences and series

• Variation (direct, inverse, joint)

3. Arithmetic / Commercial Maths

• Simple interest

• Compound interest

• Profit and loss

• Discount and markup

• Speed, distance, time

• Work-rate problems

4. Geometry

• Angles and lines

• Triangles and polygons

• Circles

• Loci and constructions

• Bearings and directions

5. Coordinate Geometry

• Distance formula

• Midpoint formula

• Gradient of a line

• Equation of a straight line

6. Trigonometry

• Trigonometric ratios

• Identities

• Sine, cosine, tangent rules

• Heights and distances

• Graphs of trig functions

• Angle of elevation & depression

7. Statistics

• Mean, median, mode

• Frequency tables

• Graphs and charts

• Data interpretation

8. Probability

• Basic probability rules

• Events and outcomes

• Combined probability

9. Mensuration

• Area and perimeter

• Surface area of solids

• Volume of solids (cube, cylinder, cone, sphere)

• Unit conversions

10. Sets & Venn Diagrams

• Types of sets

• Union and intersection

• Set notation

• Venn diagram problems

11. Matrices & Transformations

• Matrix operations

• Determinants

• Translation, rotation, reflection

12. Graphs

• Linear graphs

• Quadratic graphs

• Interpretation of graphs

• Slope and intercept

13. Logic & Reasoning

• Simple logical deductions

• Word problems

• Pattern recognition