Mathematics Grade 11 Term 2 June Past Papers and Memos

1. Q1 Algebra, equations and inequalities1.1 Solve for ������: 30 marks
2. Q2 2.1 Simplify the following expressions: 22 marks
3. Q3 Functions and graphsGiven: ������(������) = 2 − ������ and ������(������) = (������ − ������)2 + ������. E and C are the intersects 20 marks
4. Q4 Functions and graphsGiven: ������(������) = +1 17 marks
5. Q5 Functions and graphsThe properties of ������(������) = ������������ + ������ are given below: 11 marks

Instructions to candidates

1. This question paper consists of FIVE questions.
2. Answer all questions.
3. Clearly show ALL calculations.
4. Answer only will not necessarily be awarded full marks.
5. If necessary, round off your answers to two decimal places.
6. Diagrams are not necessarily drawn to scale.
7. Number the answers correctly according to the numbering system used in this question paper.
8. Write neatly and legibly. 2 | P a g e Mathematics Grade 11 June exams ORTID-2026

1. Q1 Algebra, equations and inequalities1.1.1 xx(1−=2 ) 0 (2) 34 marks
2. Q2 Algebra, equations and inequalities2.1 Simplify the following fully, without using a calculator: 18 marks
3. Q3 Functions and graphsThe function g is defined as  14 marks
4. Q4 Functions and graphsThe function has an axis of symmetry with an equation of . 15 marks
5. Q5 Functions and graphsThe graphs of h()x = ax2 +bx+c and p(x) =−8 2x are sketched below. 19 marks

Instructions to candidates

1. This question paper consists of 5 questions.
2. Answer ALL the questions.
3. Number the answers correctly according to the numbering system used in this question paper.
4. Clearly show ALL calculations, diagrams, graphs, etc. which you have used in determining your answers.
5. Answers only will NOT necessarily be awarded full marks.
6. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise.
7. If necessary, round off answers correct to TWO decimal places, unless stated otherwise.
8. Diagrams are NOT necessarily drawn to scale.
9. Write neatly and legibly. Mathematics P1 3 Common Test June 2024 NSC-Grade 11

1. Q1 Analytical geometryPQRS is a quadrilateral with vertices P(– 5; 0), Q(0; t), R(3; – 2) and S(– 2; – 5). 16 marks
2. Q2 Analytical geometryIn the diagram below, A(– 2; 4), B(– 2; – 1) and C( ) are the vertices of 15 marks
3. Q3 Trigonometry3.1 If θ = 89,4 and α = 122 , evaluate the following (round off answers correct 29 marks
4. Q4 Analytical geometryGiven: f x =sin2xand g x =3cosx for x−90 ;90 11 marks
5. Q5 Euclidean geometry5.1 Complete the following theorem: 16 marks
6. Q6 Euclidean geometry6.1 Complete the theorem: 13 marks

Instructions to candidates

1. This question paper consists of 6 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 your answers.
4. You may use an approved scientific calculator (non-programmable and non- graphical), unless otherwise stated.
5. If necessary, round off answers to TWO decimal places, unless stated otherwise
6. Information sheet with formulae is attached at the end of the question paper.
7. Diagrams are NOT necessarily drawn to scale.
8. Write neatly and legibly.
9. Answers only will NOT necessarily be awarded full marks. Mathematics Gr 11 P2 3 FS/June 2024

1. Q1 In the diagram below, D(−10 ; 6) , E, F and G(1 ; 9) are the vertices of a quadrilateral. 12 marks
2. Q2 Analytical GeometryIn the diagram below, A(−2 ; −1), B(−3 ; 4) and C 1 ; 5 are the vertices of a triangle. BC is 17 marks
3. Q3 If cos23 = 1−g2 , express each of the following in terms of g: 7 marks
4. Q4 Trigonometry4.1 Simplify the following without using a calculator: 24 marks
5. Q5 5.1 In the diagram, O is the centre of the circle. AB and AC are chords, and BO and CO 14 marks
6. Q6 Euclidean Geometry6.1 In the diagram below, CD is a diameter and PC is a tangent to the circle at C. 17 marks
7. Q7 In the diagram, O is the centre of the circle and PVR is a tangent to the circle at V. 9 marks

Instructions to candidates

1. This question paper consists of 7 questions.
2. Answer ALL the questions.
3. Number the answers correctly according to the numbering system used in this question paper.
4. Clearly show ALL calculations, diagrams, graphs, etc. which you have used in determining your answers.
5. Answers only will NOT necessarily be awarded full marks.
6. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise.
7. If necessary, round off answers correct to TWO decimal places, unless stated otherwise.
8. Diagrams are NOT necessarily drawn to scale.
9. THREE DIAGRAM SHEETS for QUESTION 1, QUESTION 2, QUESTION 5.1, QUESTION 5.2, QUESTION 6.1, QUESTION 6.2 and QUESTION 7 are attached at the end of this question paper. Detach the DIAGRAM SHEETS and hand them in together with your ANSWER BOOK.
10. Write neatly and legibly. Mathematics P2 3 Common Test June 2024 Grade 11-NSC

1. Q1 Algebra
2. Q2 Algebra
3. Q3 Question 3
4. Q4 Question 4
5. Q5 Question 5
6. Q6 Question 6

1. Q1 Algebra, equations and inequalities1.1.1 1 x(3 x)  0 (2) 22 marks
2. Q2 Algebra, equations and inequalitiesSolve for without the use of a calculator : = 2 10 marks
3. Q3 Number patterns, sequences and series3.1 Which term of the sequence 23 ; 21 ;19 ; … will be equal to – 47? (4) 20 marks
4. Q4 Functions and graphsGiven: gx x2 6 12 marks
5. Q5 Functions and graphsS(1 ; 18) is the turning point of the graph of f (x)  ax2 bx c. 11 marks

Instructions to candidates

1. This question paper consists of 5 questions.
2. Answer ALL the questions.
3. Clearly show ALL calculations, diagrams, graphs, etc. which 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. Write neatly and legibly. Gr. 11 Mathematics Common Test July 2021 3 Amajuba District