Grade 12

One shared fractions reference for Grade 10, 11 and 12: operations, algebraic fractions, cancelling rules, complex fractions, and calculator habits.

Master the Proportionality Theorem, Similarity, and the proof of Pythagoras — worth 40–50 marks in Paper 2.

Master the Fundamental Counting Principle, factorials, arrangements with and without repetition, and constraint problems — with the slot method and fully worked examples.

Master the addition rule, mutually exclusive events, independent events, and complementary events — the foundation for all probability calculations.

Master probability rules, the Counting Principle, and factorials — worth ~15 marks in Paper 1.

Understand the logic of the Best Fit line and the r-value.

Understand how to plot, interpret, and analyse the relationship between two variables.

Master scatter plots, regression lines, and the correlation coefficient — worth ~20 marks in Paper 2.

Master finding tangent equations to circles — the perpendicular radius principle, multiple exam scenarios, tangents from external points, and the length of a tangent with fully worked examples.

Master the equation of a circle from first principles — derivation from the distance formula, completing the square, determining point positions, and finding equations with fully worked examples.