Mathematics Grade 10 P1 Gauteng June 2017 QP (Eng)

Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNE 2017 GRADE 10 MATHEMATICS (PAPER 1) NAME OF LEARNER: ___________________________________________ GRADE: _________ TIME: 1 hour MARKS: 50 5 pages P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 2 GRADE 10 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS (PAPER 1) Time: 1 hour Marks: 50 INSTRUCTIONS 1. Answer ALL the questions. 2. Clearly show ALL calculations, diagrams, graphs etc. that you have used in determining your answers. 3. Answers only will not necessarily be awarded full marks. 4. An approved scientific calculator (non-programmable and non-graphical) may be used, unless stated otherwise. 5. If necessary, answers should be rounded-off 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 in this question paper. 8. It is in your interest to write legibly and to present your work neatly. P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 3 GRADE 10 QUESTION 1 Indicate whether each of the following numbers is rational or irrational. 1.1 8 (1) 2 1.2  3 (1) 6 3 1.3  8 7 (1) [3] QUESTION 2 Simplify: 0 5 2.1    12  (1) 1 2.2  x 1 (1) 9 x 1.5 x  2 2.3 45 x 1 (3) [5] QUESTION 3 Factorise the following completely: 3.1 2 x 2  14 x  60 (3) 1 3 3.2 x  b9 8 (2) [5] P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 4 GRADE 10 QUESTION 4 Solve for x : 4.1 2  3x  6  4 x (2) x x 3x  2 4.2   2 2  x 3 x x  x  6 (5) 4.3 3 x . 9 2 x  1  81 (3) 4.4  4  3x  1  5 (3) [13] QUESTION 5 Consider the following pattern. Pattern 1 Pattern 2 Pattern 3 5.1 Write down the formula for the general term of white circles in the pattern. (2) 5.2 Write down the formula for the general term of black circles in the pattern. (1) 5.3 Use these formulas and calculate 5.3.1 the number of black circles in pattern 12. (1) 5.3.2 the pattern number if there are 150 white circles in the pattern. (2) [6] P.T.O.

Downloaded from hlayiso.com MATHEMATICS (PAPER 1) 5 GRADE 10 QUESTION 6 2 The graphs of f ( x)  ax 2 and h( x)  x  2 are sketched below. 3 y f D(3; 4) B C W O x h 6.1 Determine the equation of the parabola f. (2) 4 6.2 Calculate the coordinates of C if the equation of the parabola is f ( x)  x 2 . 9 (5) 6.3 Calculate the length of WO. (2) 6.4 D and T are symmetrical about the line y  x . Write down the coordinates of T. (1) [10] QUESTION 7 6 Determine the point of intersection of y  3. 2 x 1 and y   1 graphically. Clearly show ALL x asymptotes as well as x-intercepts and y-intercepts where applicable. (8) [8] TOTAL : 50 END