Mathematics Grade 10 Term 4 November Past Papers and Memos

1. Q1 1.1 Factorise the following expressions fully: 22 marks
2. Q2 Algebra2.1.1 (3xx−1)( +2)=0 (2) 14 marks
3. Q3 Sequences and Series3.1 Your friends Zain and Letti have been trying to solve an exercise based on the following 10 marks
4. Q4 Functions and GraphsThe sketch below shows the graphs of and gx( ) = − x −4. 19 marks
5. Q5 Consider a quadratic function, h, with the following characteristics: 10 marks
6. Q6 Finance6.1 Amy needs to buy a new computer. The computer costs R7 990. Amy does not have the 10 marks
7. Q7 7.1 For any two events, A and B, it is given that P(A) = 0,25, P(B) = 0,89 and 15 marks

Instructions to candidates

1. Answer ALL the questions.
2. This question paper consists of 7 questions.
3. Present your answers according to the instructions of each question.
4. Clearly show ALL calculations, diagrams, graphs et cetera which were used in determining the answers.
5. Answers only will NOT necessarily be awarded full marks.
6. Use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise.
7. Where necessary, answers should be rounded-off to TWO decimal places, unless stated otherwise.
8. Diagrams are NOT necessarily drawn to scale.
9. An INFORMATION SHEET is included on page 7 of the question paper.
10. Number the questions correctly according to the numbering system used in the question paper.
11. Write neatly and legibly. P.T.O. MATHEMATICS 3 (PAPER 1) GRADE 10

1. Q1 StatisticsThe heights of 18 grade 8 learners were recorded in cm as shown below. Use the data below to 11 marks
2. Q2 StatisticsThe figures in the table below are the ages, to the nearest year, of a random sample of 30 people 9 marks
3. Q3 Analytical GeometryIn the diagram below A (–3;7), B (–8;2) and C (4;6) are the vertices of triangle ABC. 9 marks
4. Q4 Trigonometry4.1 If x = 66,4° and y = 114,7°, evaluate the following correct to TWO decimal places. 15 marks
5. Q5 TrigonometryGiven that sin������ = and tan������ < 0. Determine with the aid of a diagram and WITHOUT 16 marks
6. Q6 TrigonometryThe graphs of f(x) = a sin x and g(x) cos x + 1 for x [0°; 360°]. 10 marks
7. Q7 Analytical Geometry7.1 The roof of a canvas tent is in the shape of a right pyramid having a perpendicular height 12 marks
8. Q8 Euclidean GeometryIn parallelogram PQRS, PW bisects ˆ and SW bisects ˆ . PW // ST and PT // WS. 8 marks
9. Q9 Euclidean GeometryABCD is a parallelogram with AD // BC and BA // CD. 5 marks
10. Q10 In the diagram below, D and E are midpoints of sides AB and BC of ∆������������������. Point P is on BC 5 marks

Instructions to candidates

1. This question paper consists of 10 questions.
2. Answer ALL the questions in the ANSWER BOOK provided.
3. Clearly show ALL calculations, diagrams, graphs, etc. that you have used to determine 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 otherwise stated.
7. Diagrams are NOT necessarily drawn to scale.
8. Write neatly and legibly. P.T.O. MATHEMATICS 3 (PAPER 2) GRADE 10

1. Q1 Algebra, equations and inequalities1.1 Factorise the following expressions fully: 14 marks
2. Q2 Algebra, equations and inequalities2.1 Solve for ������ without the use of a calculator: 17 marks
3. Q3 Number patterns, sequences and seriesGiven the linear pattern: 2������ + 2 ; 3������ + 4 ; 5������ + 6 ; … 14 marks
4. Q4 Finance, growth and decay4.1 Sylvia wants to buy a Defy dishwasher which is priced at R9 899 by means of a hire 12 marks
5. Q5 Functions and graphsThe equation of the function ������(������) = +������ is shown below. It passes through the 16 marks
6. Q6 Functions and graphsGiven: ������(������) = 3 − 1 and ������(������) = 15 marks
7. Q7 Probability and counting7.1 An entire sample space is made up of two complementary events, S and T, where 12 marks

Instructions to candidates

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

1. Q1 Statistics1.1 The following mathematics test marks were recorded for a Grade 10A class of 20 marks
2. Q2 Analytical geometryIn the diagram below, the coordinates of ∆ABC are given as A(– 2 ; 4) , B(– 6 ; – 2) and 16 marks
3. Q3 Trigonometry3.1 If x = 229,5° and y = 117,6°, determine to two decimal places the values of: 21 marks
4. Q4 Analytical geometryIn the diagram below, the graph of f(x) = tan x is drawn for x  [0° ; 360°]. 12 marks
5. Q5 Euclidean geometry5.1 Use the diagram below to prove that the opposite sides of a parallelogram are equal, 28 marks
6. Q6 The cylinder in the diagram below has a diameter of 4x units and a height of h meters. The 3 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, et cetera that 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. Number the answers correctly according to the numbering system used in this question paper.
9. Write neatly and legibly.

1. Q2 2. 1.2 px-kx=k-p (3)
2. Q3 3.1 Given the linear pattern : 2.x + I ; 3x + 3 ; 4x + 5 ; ...
3. Q4 Finance4.1 Peter wants to buy a computer costing 7 950, on a hire-purchase agreement.
4. Q5 Sketched below are the graphs of f(x) = - + q and g(.x) = x + 2.
5. Q6 Probabilityg(x) = ax + q .f = 4 (- 2 ; 0) 16 marks
6. Q7 7.1.1 P(A or B)  P(A)P(B)P(A and B) 100 marks

Instructions to candidates

1. Answer ALL the questions.
2. Clearly show ALL calculations, diagrams, graphs, etc. that you have used m determining your answers.
3. Answers only will NOT necessarily be awarded full marks.
4. You may use an approved scientific calculator (non-programmable and non- graphical), unless stated otherwise.
5. Round off answers to TWO decimal places, unless stated otherwise.
6. Diagrams are NOT necessarily drawn to scale.
7. Number the answers correctly according to the numbering system used m this question paper.
8. Write neatly and legibly. Copynght reserved I 11111111111111111IE1111111111111111110 llllllll llll lllJII IIII IIIIH 111111 Please tum over ICv,/..,z\.JU.J-'4.A. lJtJ... - Muthema1ic~/P I 3 CAPS - Grade I 0 QUESTION l
9. l Factorise the following expressions fully : I . I. l + ( I) 3y" y 1.1.2 x? - !Ox - 24 (2) 1.1.3 ' 2 (3) 9x- - y + IOy -25 1.2 Simplify the following expressions fully: 1.2.1 (2) 1.2.2 Sx-5 (2) 5x Jx+I + 3x 1.2.3 27.3-l+ x (3) [13) QUESTION 2 2.1 Solve for x:
10. 1.2 px-kx=k-p (3) 2.1.3 ; I 2'=- (3) 128 . x+5 1ven : -->- 2.2 G 2 2 2.2 .1 Solve for x. (2) If represent the solution to QUESTION 2.2 . l on a number line . 2.2.2 xER, (I) 2.3 Solve simultaneously for .x and y if: X( X - 3) + y(3 - X) = Q (4) 2.4 During a fun

1. Q1 Statistics 16 marks
2. Q2 Question 2 15 marks
3. Q3 Trigonometry 15 marks
4. Q4 Trigonometry 16 marks
5. Q5 Question 5 8 marks
6. Q6 Analytical Geometry 9 marks
7. Q7 Question 7 9 marks
8. Q8 Question 8 12 marks

1. Q1 Question 1 18 marks
2. Q2 Question 2 15 marks
3. Q3 Sequences and Series 10 marks
4. Q4 Question 4 6 marks
5. Q5 Question 5 17 marks
6. Q6 Analytical Geometry 12 marks
7. Q7 Question 7 11 marks
8. Q8 Question 8 100 marks