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Mathematics
Full Grade 9–12 mathematics: number systems, algebra, geometry, trigonometry, statistics and calculus.
Unit 1: The number system
- Revision of natural numbers and integers
- Rational numbers
- Irrational numbers
- Real numbers and the number line
- Laws of exponents
- Squares, square roots, cubes and cube roots
- Standard (scientific) notation
- Rationalising denominators
- Applications of the number system
Unit 2: Solutions of equations
- Linear equations in one variable
- Equations involving exponents and radicals
- Equations involving absolute value
- Quadratic equations by factorisation
- Word problems leading to equations
Unit 3: Further on sets
- Sets and set notation
- Operations on sets: union, intersection, difference
- Complement and universal set
- Venn diagrams
- Applications of sets to counting problems
Unit 4: Relations and functions
- Cartesian product and relations
- Domain and range of a relation
- Definition of a function
- Graphs of linear functions
- Applications of linear functions
Unit 5: Geometry and measurement
- Angles and parallel lines
- Triangles and congruence
- Similar figures
- Quadrilaterals and polygons
- Circles: chords, arcs and angles
- Perimeter and area of plane figures
- Surface area and volume of solids
Unit 6: Statistics and probability
- Collection and organisation of data
- Frequency tables
- Bar graphs, line graphs and pie charts
- Mean, median and mode
- Range
- Introduction to probability
Unit 7: Vectors in two dimensions
- Scalars and vectors
- Representation of vectors
- Addition and subtraction of vectors
- Scalar multiplication
- Position vectors
Exam tips
- • Show every working step — national exam markers award method marks.
- • Memorise the quadratic formula, trigonometric ratios and derivative rules; they appear every year.
- • Practise timed papers so you average under 2 minutes per multiple-choice question.
- • Always check whether the question wants radians or degrees.