Gr10 Math P1 (English) 2020 Exemplars Question Paper_hlayiso.com_.pdf

Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION NOVEMBER 2020 GRADE 10 MATHEMATICS (PAPER 1) TIME: 1 hour MARKS: 50 5 pages P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 2 GRADE 10 INSTRUCTIONS AND INFORMATION 1. This question paper consists of SIX questions. 2. Answer ALL the questions. 3. Clearly show ALL calculations, diagrams, graphs etc. which were used in determining the answers. 4. Answers ONLY will not necessarily be awarded full marks. 5. An approved scientific calculator (non-programmable and non-graphical) may be used, unless otherwise stated. 6. Diagrams are NOT necessarily drawn to scale. 7. Where necessary, answers should be rounded off to TWO decimal places, unless otherwise stated. 8. Number your answers according to the numbering system used in this question paper. 9. Write neatly and legibly. P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 3 GRADE 10 QUESTION 1 For which value(s) of 𝑥 is the expression: ; x  11;  5; 0; 15 9 A 11  x 1.1 rational (1) 1.2 non-real (1) 1.3 undefined (1) [3] QUESTION 2 Simplify the following: x2  x  6 x 2  16 1 2.1   3x  12 x x  2 x 2 2 2 x4 (5) 6 2a . 12a 2.2 2 a2 (4) 2.3 If 𝑎2 + 𝑏 2 = 8𝑎𝑏; determine the value of (𝑎 + 𝑏)2 in terms of a and b. (3) [12] QUESTION 3 Factorise the following completely: 1 3.1 64p 3  27 (2) 3.2 24𝑘𝑦 3 − 6𝑘𝑦 − 24𝑦 + 96𝑦 3 (4) [6] P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 4 GRADE 10 QUESTION 4 4.1 Solve for 𝑥: 3 x 3 1    729  3 (3) 4.2 Solve for x and write the answer in interval notation: 1 x 4  3 3 (4) 4.3 Tickets for a school concert are sold at R6 for children and R10 for adults. If altogether 150 children and adults attend the concert and pay R1 100 entrance fee, determine how many children attend the concert. (4) [11] QUESTION 5 5.1 Consider the following pattern: –3; 1; 5; 9; … 5.1.1 Determine the general term. (2) 5.1.2 Calculate 𝑇38 (1) [3] P.T.O.

Downloaded from hlayiso.com QUESTION 6 In the given sketch, the following graphs are represented: f ( x)  3x2 12, g ( x)  x  2 and h( x)  a x  q. A and B are the 𝑥-intercepts and C is the turning point of 𝑓. D is the 𝑦-intercept of 𝑔. K (1 ; 4) is a point on the graph of ℎ. K O F 6.1 Calculate the length of GH if OF = 1 unit. (3) 6.2 Determine: 6.2.1 the coordinates of E, the point of intersection of 𝑓 and 𝑔 (5) 6.2.2 the equation of ℎ (3) 6.2.3 𝑘 if 𝑘 is the reflection of 𝑓 about the 𝑥-axis (2) 6.3 For which value(s) of 𝑥 will f ( x)  0. (2) [15] TOTAL: 50 END