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Here are past exam papers and resources for Calculus. The 2025 May/June Mathematics P1 contains questions on functions, graphs, and optimisation. The Siyavula…
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The most commonly examined calculus topics in Grade 12 are optimisation problems (finding maximum/minimum values), differentiation from first principles, integ…
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Paper 1 covers Patterns and Sequences, Finance and Growth, Functions and Graphs, Algebra and Equations, Differential Calculus, and Probability. Paper 2 covers…
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Here is a sample Grade 10 Paper 1 structured to CAPS format. The paper consists of 5 sections — Multiple Choice (30 marks), Short Answer Questions (40 marks),…
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Statistics in Paper 2 can be examined through data interpretation from tables and graphs, calculation of mean, median, and mode, standard deviation questions,…
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A cubic polynomial is a polynomial of degree 3 with the general form y = ax3 + bx2 + cx + d, where a != 0. It can have up to three real roots and up to two tur…
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Step 1 — Identify the polynomial and confirm it is degree 3. Step 2 — Use the factor theorem to find one root by testing values. Step 3 — Divide the polynomial…
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Number patterns in Grade 12 cover three main types. Arithmetic sequences use the formula Tn = a + (n-1)d where d is the common difference. Geometric sequences…
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Euclidean Geometry covers points, lines, angles, congruent and similar figures, and circle theorems. Key Grade 12 topics include the Proportion Theorem, Simila…
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The theorems you can be asked to prove in Grade 12 are the Proportion Theorem (a line parallel to one side of a triangle divides the other two sides proportion…
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