Topic notes for Grade 11: what gets asked, what you must be able to do, the traps that cost marks, and worked examples.
- Analytical Geometry Equations of straight lines through points, parallel and perpendicular lines, and the angle of inclination.
- Equations and inequalities Quadratic equations by every method, quadratic inequalities, linear-quadratic systems and nature of roots.
- Euclidean Geometry The circle theorems: chords and the centre, angles in the circle, cyclic quadrilaterals and tangents.
- Exponents and surds Rational exponents, surd arithmetic, and equations with the unknown in an exponent or under a root.
- Finance, growth and decay Depreciation, compound decay, nominal against effective rates, and timelines with changing conditions.
- Functions The parabola, hyperbola, exponential and trig graphs with shifts, and the average gradient between two points.
- Measurement Revision of surface area and volume of solids, and what a scale factor does to each.
- Number patterns Patterns with a constant second difference, and the quadratic general term that fits them.
- Probability The addition identity, independent events, Venn diagrams, contingency tables and tree diagrams.
- Statistics Ogives, variance and standard deviation, the shape of a distribution, and spotting outliers.
- Trigonometry Identities and reduction formulae, trig equations, and the sine, cosine and area rules in two dimensions.