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Mathematics Grade 12 Q&A

744 past exam questions answered from 15 papers, sorted by ATP topic.

Mathematics Grade 12 Questions & Answers

FET Phase 12 ATP topics 744 questions

Mathematics Grade 12 past exam questions (Paper 1 and Paper 2) with full worked solutions, organised by paper and by CAPS topic.

Every question is answered from the official marking guideline and the Grade 12 Mathematics textbook. Work through a whole paper, or study one Annual Teaching Plan topic at a time and see every exam question asked on it.

What You'll Find Here

Everything you need for Mathematics in Grade 12, in one place.

744 Answered Questions

Memo-based answers with the marks, other accepted points and tips for full marks.

15 Past Papers

Exams, tests, tasks and projects, answered from start to finish.

12 ATP Topics

The Annual Teaching Plan for Terms 1 to 3, with what each topic covers.

Textbook Links

Everything Maths Grade 12 (Siyavula, CAPS)

Term-By-Term Topics
From The Annual Teaching Plan

Algebra, Equations and Inequalities (Revision) Quadratic equations and inequalities, simultaneous equations, surds, exponents and the nature of roots (Paper 1, Question 1). 65 questions Number Patterns, Sequences and Series (Weeks 1-3) Arithmetic, geometric and quadratic sequences; sigma notation; arithmetic and geometric series; sum to infinity and convergence. 87 questions Functions and Inverse Functions (Weeks 4-6) Definition of a function; inverses of linear, quadratic and exponential functions; graphs of parabolas, hyperbolas, exponential functions and their t… 112 questions Exponential and Logarithmic Functions (Weeks 6-7) The logarithmic function as the inverse of the exponential function, log laws and solving exponential equations. 28 questions Finance, Growth and Decay (Weeks 8-9) Simple and compound growth and decay, nominal and effective rates, future value and present value annuities, sinking funds, loans and outstanding bal… 39 questions Trigonometry (Compound Angles, Identities, Equations) (Weeks 9-11) Compound and double angle identities, reduction formulae, general solutions, proving identities, trig graphs, sine, cosine and area rules in 2D and 3… 84 questions
Polynomials (Cubic Functions) (Weeks 1-2) Factor and remainder theorems, factorising third-degree polynomials and solving cubic equations. 2 questions Differential Calculus (Weeks 2-5) Limits, derivatives from first principles, rules of differentiation, tangents, cubic graphs (stationary points, concavity, points of inflection) and … 99 questions Analytical Geometry (Weeks 6-8) Distance, midpoint, gradient, inclination, equations of lines, equation of a circle and the tangent to a circle. 65 questions
Euclidean Geometry (Weeks 1-3) Circle geometry theorems (Grade 11) and their converses, proportionality theorem, similar triangles and the theorem of Pythagoras proved through simi… 60 questions Statistics (Regression and Correlation) (Weeks 4-5) Measures of central tendency and dispersion, five-number summary, box-and-whisker plots, ogives, standard deviation, scatter plots, least squares reg… 48 questions Probability and Counting Principles (Weeks 6-7) Venn diagrams, tree diagrams and contingency tables, independent and mutually exclusive events, the fundamental counting principle and its use in pro… 55 questions
Answered Past Papers

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