Mathematics Grade 12 Term 4 November Past Papers and Memos

1. Q1 Algebra, equations and inequalities 25 marks
2. Q2 Number patterns, sequences and series 15 marks
3. Q3 Number patterns, sequences and series 10 marks
4. Q4 Functions and graphs 10 marks
5. Q5 Functions and graphs 18 marks
6. Q6 Functions and graphs 8 marks
7. Q7 Finance, growth and decay 15 marks
8. Q8 Differential calculus 10 marks
9. Q9 Functions and graphs 17 marks
10. Q10 Question 10 6 marks
11. Q11 Probability and counting 16 marks

1. Q1 Statistics 8 marks
2. Q2 Statistics 12 marks
3. Q3 Analytical Geometry 18 marks
4. Q4 Analytical Geometry 21 marks
5. Q5 Trigonometry 17 marks
6. Q6 Trigonometry 13 marks
7. Q7 Trigonometry 10 marks
8. Q8 Trigonometry 10 marks
9. Q10 Euclidean Geometry 8 marks
10. Q11 Question 11 23 marks

1. Q1 StatisticsA researcher observed the number of litres of fuel purchased by motorists on a certain 18 marks
2. Q2 Analytical GeometryIn the diagram below, S (‒4 ; 8), T (‒6 ; 4), M and U lie on the same straight line. R (‒12 ; 6), 20 marks
3. Q4 Trigonometry4.1 If sin14q t , determine the values of the following in terms of t: 29 marks
4. Q5 TrigonometryThe graph of is drawn on the diagram below where ฀ q q . 10 marks
5. Q6 In the diagram below, KN is a vertical tower. L, N and M are points in the same horizontal 11 marks
6. Q7 Euclidean Geometry7.1 In the diagram, O is the centre of the circle which passes through A, B and C. BD is a 13 marks
7. Q8 Euclidean GeometryIn the diagram O is the centre of the circle. BCDE is a cyclic quadrilateral. G is the 14 marks
8. Q9 In the diagram below, O is the centre of the circle. D, E and C are points on the circumference. 15 marks

Instructions to candidates

1. This question paper consists of 9 questions.
2. Answer ALL the questions in the SPECIAL ANSWER BOOK provided.
3. Clearly show ALL calculations, diagrams, graphs, etc. which you have used in determining the answers.
4. Answers only will NOT necessarily be awarded full marks.
5. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise.
6. If necessary, round off answers to TWO decimal places, unless stated otherwise.
7. Diagrams are NOT necessarily drawn to scale.
8. An information sheet with formulae is included at the end of the question paper.
9. Write neatly and legibly.

1. Q1 Question 1 27 marks
2. Q2 Question 2 14 marks
3. Q3 Analytical Geometry 10 marks
4. Q4 Question 4 9 marks
5. Q5 Question 5 10 marks
6. Q6 Question 6 15 marks
7. Q7 Finance 14 marks
8. Q8 Question 8 18 marks
9. Q9 Question 9 8 marks
10. Q10 Question 10 8 marks
11. Q11 Question 11 9 marks
12. Q12 Question 12 8 marks

1. Q1 Statistics 10 marks
2. Q2 Question 2 19 marks
3. Q4 Trigonometry 12 marks
4. Q6 Trigonometry 18 marks
5. Q7 Trigonometry 11 marks
6. Q8 Trigonometry 9 marks
7. Q9 Question 9 6 marks
8. Q10 Euclidean Geometry 15 marks
9. Q11 Question 11 20 marks

1. Q1 Question 1 24 marks
2. Q2 Sequences and Series 16 marks
3. Q3 Question 3 10 marks
4. Q4 Question 4 14 marks
5. Q5 Algebra 18 marks
6. Q6 Question 6 16 marks
7. Q7 Question 7 13 marks
8. Q8 Analytical Geometry 18 marks
9. Q9 Question 9 6 marks
10. Q10 Question 10 15 marks

1. Q1 Question 1 12 marks
2. Q2 Question 2 8 marks
3. Q3 Sequences and Series 20 marks
4. Q4 Analytical Geometry 20 marks
5. Q5 Trigonometry 31 marks
6. Q6 Trigonometry 12 marks
7. Q7 Trigonometry 7 marks
8. Q8 Question 8 16 marks
9. Q9 Question 9 9 marks
10. Q10 Question 10 15 marks

1. Q1 Question 1 25 marks
2. Q2 Sequences and Series 14 marks
3. Q3 Question 3 10 marks
4. Q4 Question 4 20 marks
5. Q5 Question 5 13 marks
6. Q6 Finance 14 marks
7. Q7 Analytical Geometry 12 marks
8. Q8 Question 8 17 marks
9. Q9 Question 9 8 marks
10. Q10 Question 10 17 marks

1. Q1 Question 1 12 marks
2. Q2 Statistics 8 marks
3. Q3 Trigonometry 20 marks
4. Q4 Analytical Geometry 20 marks
5. Q5 Trigonometry 30 marks
6. Q6 Question 6
7. Q7 Trigonometry 10 marks
8. Q8 Euclidean Geometry 13 marks
9. Q9 Analytical Geometry 14 marks
10. Q10 Question 10 13 marks

1. Q1 Question 1 24 marks
2. Q2 Question 2 6 marks
3. Q3 Question 3 11 marks
4. Q4 Question 4 10 marks
5. Q5 Question 5 10 marks
6. Q6 Question 6 8 marks
7. Q7 Question 7 17 marks
8. Q8 Finance 16 marks
9. Q9 Question 9 12 marks
10. Q10 Question 10 15 marks
11. Q11 Question 11 7 marks
12. Q12 Question 12 14 marks

1. Q1 Statistics 10 marks
2. Q2 Question 2 10 marks
3. Q3 Trigonometry 24 marks
4. Q4 Analytical Geometry 15 marks
5. Q5 Trigonometry 17 marks
6. Q6 Trigonometry 15 marks
7. Q7 Question 7 8 marks
8. Q8 Trigonometry 10 marks
9. Q9 Question 9 5 marks
10. Q10 Euclidean Geometry 13 marks
11. Q11 Question 11 23 marks

1. Q1 Question 1 22 marks
2. Q2 Sequences and Series 17 marks
3. Q3 Question 3 8 marks
4. Q4 Functions and Graphs 23 marks
5. Q5 Question 5 12 marks
6. Q6 Finance 16 marks
7. Q7 Question 7 12 marks
8. Q8 Question 8 15 marks
9. Q9 Calculus 10 marks
10. Q10 Question 10 7 marks
11. Q11 Question 11 8 marks

1. Q1 StatisticsA Mathematics teacher was curious to establish if her learners' Mathematics marks influenced 10 marks
2. Q2 StatisticsThe number of aircraft landing at the King Shaka International Airport and the Port Elizabeth 9 marks
3. Q3 Analytical geometry∆TSK is drawn. The equation of ST is y = 1 x + 6 and ST cuts the x-axis at M. W(–4 ; 4) 21 marks
4. Q4 Analytical geometryM(–3 ; 4) is the centre of the large circle and a point on the small circle having centre O(0; 0). 19 marks
5. Q5 Trigonometryf (x) = − cosx g(x)=sin(x+30)   8 marks
6. Q6 TrigonometryIn the diagram, P(–5 ; 12) and T lies on the positive x-axis. POT = 24 marks
7. Q7 Analytical geometryA landscape artist plans to plant flowers within two concentric circles around a vertical light 10 marks
8. Q8 Euclidean geometryO is the centre of the circle.. KOM bisects chord LN and MNO = 26. K and P 17 marks
9. Q9 Euclidean geometry9.1 In the diagram, O is the centre of the circle. Points S, T and R lie on the circle. 15 marks
10. Q10 Euclidean geometryIn the diagram, a circle passes through D, B and E. Diameter ED of the circle is produced 17 marks

Instructions to candidates

1. This question paper consists of 10 questions.
2. Answer ALL the questions in the SPECIAL ANSWER BOOK provided.
3. Clearly show ALL calculations, diagrams, graphs, etc. that you have used in determining your answers.
4. Answers only will NOT necessarily be awarded full marks.
5. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise.
6. If necessary, round off answers correct to TWO decimal places, unless stated otherwise.
7. Diagrams are NOT necessarily drawn to scale.
8. An information sheet with formulae is included at the end of the question paper.
9. Write neatly and legibly. Mathematics/P2 3

1. Q1 Question 1 23 marks
2. Q2 Sequences and Series 16 marks
3. Q3 Question 3 11 marks
4. Q4 Question 4 8 marks
5. Q5 Question 5 8 marks
6. Q6 Question 6 20 marks
7. Q7 Finance 15 marks
8. Q8 Question 8 12 marks
9. Q9 Calculus 15 marks
10. Q10 Question 10 6 marks
11. Q11 Question 11 7 marks
12. Q12 Question 12 9 marks

1. Q1 Statistics 15 marks
2. Q2 Question 2 5 marks
3. Q3 Analytical Geometry 22 marks
4. Q4 Analytical Geometry 18 marks
5. Q5 Trigonometry 23 marks
6. Q6 Trigonometry 13 marks
7. Q7 Trigonometry 6 marks
8. Q8 Euclidean Geometry 16 marks
9. Q9 Question 9 16 marks
10. Q10 Question 10 16 marks

1. Q1 Question 1 23 marks
2. Q2 Sequences and Series 16 marks
3. Q3 Question 3 11 marks
4. Q4 Question 4 8 marks
5. Q5 Question 5 8 marks
6. Q6 Question 6 20 marks
7. Q7 Finance 15 marks
8. Q8 Question 8 12 marks
9. Q9 Calculus 15 marks
10. Q10 Question 10 6 marks
11. Q11 Question 11 7 marks
12. Q12 Question 12 9 marks

1. Q1 Statistics 15 marks
2. Q2 Question 2 5 marks
3. Q3 Analytical Geometry 22 marks
4. Q4 Analytical Geometry 18 marks
5. Q5 Trigonometry 23 marks
6. Q6 Trigonometry 13 marks
7. Q7 Trigonometry 6 marks
8. Q8 Euclidean Geometry 16 marks
9. Q9 Question 9 16 marks
10. Q10 Question 10 16 marks

1. Q1 Question 1 24 marks
2. Q2 Sequences and Series 18 marks
3. Q3 Question 3 8 marks
4. Q4 Question 4 23 marks
5. Q5 Analytical Geometry 14 marks
6. Q6 Finance 15 marks
7. Q7 Question 7 12 marks
8. Q8 Question 8 15 marks
9. Q9 Euclidean Geometry 7 marks
10. Q10 Question 10 8 marks
11. Q11 Question 11 6 marks

1. Q1 Question 1 24 marks
2. Q2 Sequences and Series 11 marks
3. Q3 Question 3 15 marks
4. Q4 Question 4 11 marks
5. Q5 Functions and Graphs 14 marks
6. Q6 Question 6 10 marks
7. Q7 Finance 15 marks
8. Q8 Question 8 16 marks
9. Q9 Question 9 13 marks
10. Q10 Question 10 8 marks
11. Q11 Question 11 8 marks
12. Q12 Question 12 5 marks

1. Q1 Statistics 9 marks
2. Q2 Statistics 13 marks
3. Q3 Euclidean Geometry 19 marks
4. Q4 Euclidean Geometry 23 marks
5. Q5 Trigonometry 21 marks
6. Q6 Question 6 12 marks
7. Q8 Euclidean Geometry 12 marks
8. Q9 Euclidean Geometry 9 marks
9. Q10 Question 10 20 marks

1. Q1 Question 1 26 marks
2. Q2 Sequences and Series 10 marks
3. Q3 Sequences and Series 12 marks
4. Q4 Functions and Graphs 6 marks
5. Q5 Functions and Graphs 19 marks
6. Q6 Functions and Graphs 12 marks
7. Q7 Question 7 13 marks
8. Q8 Question 8 11 marks
9. Q9 Analytical Geometry 17 marks
10. Q10 Question 10 7 marks
11. Q11 Question 11 17 marks

1. Q1 Question 1 11 marks
2. Q2 Statistics 9 marks
3. Q3 Euclidean Geometry 17 marks
4. Q4 Trigonometry 20 marks
5. Q5 Trigonometry 24 marks
6. Q6 Trigonometry 8 marks
7. Q7 Trigonometry 10 marks
8. Q8 Question 8 9 marks
9. Q9 Euclidean Geometry 14 marks
10. Q10 Trigonometry 17 marks
11. Q11 Question 11 10 marks

1. Q1 Question 1 21 marks
2. Q2 Sequences and Series 12 marks
3. Q3 Sequences and Series 19 marks
4. Q4 Question 4 11 marks
5. Q5 Question 5 9 marks
6. Q6 Calculus 13 marks
7. Q7 Finance 13 marks
8. Q8 Calculus 14 marks
9. Q9 Calculus
10. Q10 Question 10 9 marks
11. Q11 Probability 7 marks
12. Q12 Question 12 9 marks

1. Q1 Statistics 12 marks
2. Q2 Statistics 8 marks
3. Q3 Analytical Geometry 21 marks
4. Q4 Trigonometry 19 marks
5. Q5 Trigonometry 9 marks
6. Q6 Trigonometry 12 marks
7. Q7 Trigonometry 19 marks
8. Q8 Euclidean Geometry 14 marks
9. Q9 Question 9 16 marks
10. Q10 Question 10 20 marks