Mathematics Grade 10 P2 Gauteng June 2017 QP (Eng)

Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNE 2017 GRADE 10 MATHEMATICS PAPER 2 TIME: 1 hour MARKS: 50 5 pages + 1 diagram sheet + 1 answer sheet P.T.O.

Downloaded from hlayiso.com MATHEMATICS 2 Paper 2 Grade 10 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS (Paper 2) 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. An ANSWER SHEET is attached to the end of this question paper. Fill in your name and class in the space provided. Hand this ANSWER SHEET in with your ANSWER BOOK. 9. It is in your interest to write legibly and to present your work neatly. 10. A diagram sheet is included on page 6 to assist you P.T.O.

Downloaded from hlayiso.com MATHEMATICS 3 Paper 2 Grade 10 QUESTION 1 In the diagram below point, P(4; 3) is given and 0º ≤  ≤ 90º. Answer the following questions, without the use of a calculator. y P(4; 3)  O x 1.1 Calculate the length of OP. (3) 1.2 Calculate the value of 1.2.1 sin . (1) 1.2.2 cos . (1) 1.2.3 sin2  + cos2 . (2) [7] QUESTION 2 2.1 Use a calculator to find the values of the following, correct to THREE decimal places. 2.1.1 3 sin 138,7 (1) 2.1.2 sec 50 (1) 4 tan 2 288,2 . cos164,6 2.1.3 (2) sin 199,4 2.2 Determine, without the use of a calculator, the value of. 2.2.1 cos 30° + tan 60°. (3) sin 45 2.2.2  5 cosec90  3 tan 2 30. cos 45 (5) [12] P.T.O.

Downloaded from hlayiso.com MATHEMATICS 4 Paper 2 Grade 10 QUESTION 3 Determine the value of  by using a calculator if 0º ≤  ≤ 90º. 3.1 tan   4,96 (1) 3.2 2 sin 2   10  1 (3) [4] QUESTION 4 f ( x)  2 tan x Given: g ( x)  cos x  1 4.1 Draw both sketch graphs on the same set of axes on the ANSWER SHEET provided on the last page, for x 0; 360  . (6) 4.2 Use the graphs to answer the following questions. 4.2.1 Write down the amplitude of g . (1) 4.2.2 Determine the period of f . (1) 4.2.3 Determine the range of g . (2) [10] QUESTION 5 5.1 Name TWO properties of a rhombus. (2) 5.2 The diagram below shows is parallelogram ABCD. Aˆ  x  20 and Cˆ  2 x  60 . Determine the value of Ĉ . (2) A B x  20 2x  60 D C [4] P.T.O.

Downloaded from hlayiso.com MATHEMATICS 5 Paper 2 Grade 10 QUESTION 6 6.1 Prove that the opposite sides in parallelogram ABCD are equal. A B D (5) C 6.2 In the figure below, AECF is a parallelogram and AD//BC. A D 1 2 2 1 F O E 2 1 1 B 2 C Prove that: 6.2.1 Ê1  F̂2 . (3) 6.2.2 ABCD is a parallelogram. (5) [13] TOTAL: 50 END

Downloaded from hlayiso.com MATHEMATICS 6 Paper 2 Grade 10 DIAGRAM SHEET QUESTION 5 5.2 A B x  20 2x  60 D C QUESTION 6 6.1 A B D C 6.2 A D 1 2 2 1 F O E 2 1 1 B 2 C

Downloaded from hlayiso.com MATHEMATICS 7 Paper 2 Grade 10 ANSWER SHEET HAND THIS ANSWER SHEET IN TOGETHER WITH YOUR ANSWER BOOK. NAME: _____________________________________ GRADE: 10 _______ QUESTION 4 4.1 y 0 x