EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 EC CURRICULUM: FET MATHEMATICS, MATHEMATICAL LITERACY AND TECHNICAL MATHEMATICS MATHEMATICS REVISION BOOKLET 1 OF 2020 (PAPER 1 QUESTIONS AND MEMORANDA)) A COLLECTION OF 2017 – 2019 NSC EXAM QUESTIONS GROUPED ACCORDING TO TOPICS ➢ # MATER THE BASICS FIRST! ➢ HARDWORK NEVER KILLS! ➢ PRACTICE MAKES PERFECT! YES YOU CAN! 1 | Page EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 PLEASE READ: Dear Grade 12 Mathematics learner Your final school exam result in Mathematics is extremely important. Good result in Mathematics will surely open doors for you that will influence the quality of your future life. So, Practice Mathematics regularly, not only before tests and exams but daily! Always tell yourself that ‘I Can Do Mathematics!’. 1. REQUIRED RESOURCES ●A Mathematics textbook ● workbooks/ Revision Material ● Past Examination Question Papers ● A scientific calculator, etc. 2. CONTENT CHECKLIST Below is a checklist you should use to ensure that you have covered the content for Grade 12 Mathematics in full: Paper 1 Functions and graphs ● Linear, parabola; hyperbola; ● exponential and logarithmic; ● and their transformations ● Inverse functions Financial mathematics ● Simple and compound interest ● Logarithms in the context ● Present value and future value ● annuities (investments, sinking ● funds, loans and bond repayments) ● Nominal and effective interest rates ● Depreciation (reducing balance and straight line) Differential Calculus ● ● ● ● Limits and average gradient First principles and differentiation rules Gradient at a point and tangents to curves Polynomials (Remainder and Factor theorems) ● Cubic functions ● Applications (maxima and minima; rate of change) Equations and inequalities Probability ● Quadratic equations and inequalities ● Simultaneous equations ● Exponents and Surds ● Nature of Roots ● Probability rules (identity, mutually exclusive events, independent events and complementary events). ● Venn-diagram, Tree diagram, Contingency table ● Counting principles Number patterns and sequences ● General patterns (linear and quadratic) ● Sigma notation ● Arithmetic and geometric sequences and ● series (formulae for nth term & Sum) ● Sum to infinity; Convergence ENJOY MATHEMATICS… BECAUSE YOU CAN! 2|Page EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 ALGEBRA, EQUATIONS AND INEQUALITIES NOV 2017 FEB 2018 3|Page EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 NOV 2019 4|Page EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 PATTERNS, SEQUENCES AND SERIES NOV 2017 FEB 2018 5|Page EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 6|Page EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 7|Page EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 8|Page EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FUNCTIONS AND INVERSES NOV 2017 9|Page EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 10 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FEB 2018 11 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 12 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 13 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 14 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 15 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 16 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FINANCE, GROWTH AND DECAY NOV 2017 FEB 2018 17 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 NOV 2019 18 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 DIFFERENTIAL CALCULUS NOV 2017 19 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FEB 2018 20 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 21 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 22 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 23 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 24 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 PROBABILITY NOV 2017 25 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FEB 2018 NOV 2018 26 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 27 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 28 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 ANNEXURE A: MATHEMATICS INFORMATION SHEET 29 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 EC CURRICULUM: FET MATHEMATICS, MATHEMATICAL LITERACY AND TECHNICAL MATHEMATICS MEMORANDA GROUPED ACCORDING TO TOPICS 30 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 EQUATIONS AND INEQUALITIES NOV 2017 31 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FEB 2018 32 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 33 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 34 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 35 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 36 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NUMBER PATTERNS, SEQUENCES AND SERIES NOV 2017 37 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 38 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FEB 2018 39 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 40 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 41 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 42 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 43 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FUNCTIONS AND INVERSES NOV 2017 FEB 2018 44 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 45 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 46 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 47 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 48 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 49 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 50 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FINANCE, GROWTH AND DECAY NOV 2017 51 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FEB 2018 52 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 53 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 54 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 55 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 DIFFERENTIAL CALCULUS NOV 2017 56 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 57 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 FEB 2018 58 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 59 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 60 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 61 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 62 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 PROBABILITY NOV 2017 FEB 2018 63 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2018 64 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 NOV 2019 65 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 66 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 67 | P a g e EC CURRICULUM: MATHEMATICS BOOKLET 1 OF 2020 EC CURRICULUM: FET MATHEMATICS, MATHEMATICAL LITERACY AND TECHNICAL MATHEMATICS ENJOY MATHEMATICS… BECAUSE YOU CAN! 68 | P a g e
