MATH EMATICS
GRADE 12
2024
LAS T P US H
, JENN – MATHEMATICS DEPARTMENT
INFORMATION SHEET
2
, JENN – MATHEMATICS DEPARTMENT
CONTENTS PAGE
PAPER 1
TOPIC 1: Algebra and Equations
4 - 13
TOPIC 2: Patterns, Sequences and Series
14 - 22
TOPIC 3: Functions and Graphs
23 - 60
TOPIC 4: Finance, Decay and Growth
61 – 69
TOPIC 5: Differential Calculus
70 – 82
83 - 99
TOPIC 6: Probability
PAPER 2
TOPIC 1: Statistics
100 - 131
TOPIC 2: Analytical Geometry
132 - 158
TOPIC 3: Trigonometry
159 - 188
TOPIC 4: Euclidean Geometry
189 – 230
3
, JENN – MATHEMATICS DEPARTMENT
PAPER 1
ALGEBRA, EQUATIONS AND INEQUALITIES
Examination Guidelines
(a) Solving quadratic equations by completing the square will NOT be examined.
(b) Solving quadratic equations using the substitution method (k-method) is examinable.
(c) Equations involving surds that lead to a quadratic equation are examinable.
(d) Solution of non-quadratic inequalities should be seen in the context of functions.
(e) Nature of the roots will be tested intuitively with the solution of quadratic equations and
in all the prescribed functions.
GOLDEN RULE!!!!!!: When transposing terms, the sign of that term changes.
Quadratic Equations
(a) Always make sure that the quadratic equation is in standard form first, i.e. on the other
side of the equation, you are left with zero. That says it should be in the form
𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0.
−𝑏±√𝑏 2 −4𝑎𝑐
(b) You can now factorise or use quadratic formula, 𝑥 = to find values of 𝑥.
2𝑎
(c) When using quadratic formula, identify values of 𝑎 (coefficient of 𝑥 2 ), 𝑏 (coefficient of
𝑥) and 𝑐 (a constant) first and write them down to avoid errors when substituting. If a t
term having 𝑥 is missing that means 𝑏 = 0 and if a constant term is missing that means
value of 𝑐 = 0.
(d) Copy down the quadratic formula from the formula sheet and substitute the identified
values in (c) above. ALWAYS open a bracket before substituting values of 𝑎, 𝑏 and 𝑐 and
close the bracket after substitution.
4
GRADE 12
2024
LAS T P US H
, JENN – MATHEMATICS DEPARTMENT
INFORMATION SHEET
2
, JENN – MATHEMATICS DEPARTMENT
CONTENTS PAGE
PAPER 1
TOPIC 1: Algebra and Equations
4 - 13
TOPIC 2: Patterns, Sequences and Series
14 - 22
TOPIC 3: Functions and Graphs
23 - 60
TOPIC 4: Finance, Decay and Growth
61 – 69
TOPIC 5: Differential Calculus
70 – 82
83 - 99
TOPIC 6: Probability
PAPER 2
TOPIC 1: Statistics
100 - 131
TOPIC 2: Analytical Geometry
132 - 158
TOPIC 3: Trigonometry
159 - 188
TOPIC 4: Euclidean Geometry
189 – 230
3
, JENN – MATHEMATICS DEPARTMENT
PAPER 1
ALGEBRA, EQUATIONS AND INEQUALITIES
Examination Guidelines
(a) Solving quadratic equations by completing the square will NOT be examined.
(b) Solving quadratic equations using the substitution method (k-method) is examinable.
(c) Equations involving surds that lead to a quadratic equation are examinable.
(d) Solution of non-quadratic inequalities should be seen in the context of functions.
(e) Nature of the roots will be tested intuitively with the solution of quadratic equations and
in all the prescribed functions.
GOLDEN RULE!!!!!!: When transposing terms, the sign of that term changes.
Quadratic Equations
(a) Always make sure that the quadratic equation is in standard form first, i.e. on the other
side of the equation, you are left with zero. That says it should be in the form
𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0.
−𝑏±√𝑏 2 −4𝑎𝑐
(b) You can now factorise or use quadratic formula, 𝑥 = to find values of 𝑥.
2𝑎
(c) When using quadratic formula, identify values of 𝑎 (coefficient of 𝑥 2 ), 𝑏 (coefficient of
𝑥) and 𝑐 (a constant) first and write them down to avoid errors when substituting. If a t
term having 𝑥 is missing that means 𝑏 = 0 and if a constant term is missing that means
value of 𝑐 = 0.
(d) Copy down the quadratic formula from the formula sheet and substitute the identified
values in (c) above. ALWAYS open a bracket before substituting values of 𝑎, 𝑏 and 𝑐 and
close the bracket after substitution.
4
