Mathematics Grade 10 P2 Gauteng June 2018 QP (Eng)

Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNE 2018 GRADE 10 MATHEMATICS PAPER 2 TIME: 1 hour MARKS: 50 5 pages and 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 your answers according to the numbering system use 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 3 (Paper 2) Grade 10 QUESTION 1 1.1 In the diagram below, A(5:12). Use the diagram to answer the following questions. 𝑦 A (5; 12) 𝑟 𝜃 0 𝑥 1.1.1 Determine the value of . (2) 1.1.2 Calculate the value of sin  and cot  . (2) 1.1.3 Prove that sin  . cot  . sec  1 (2) [6] QUESTION 2 2.1 Determine the value of the following expression by using a calculator: 4sin120 tan 200  cos 70 (2) 2.2 Determine the value of in each of the following equations, correct to ONE decimal place, if . 2.2.1 3cos   2,1 (2) 2.2.2 sin   25   0,845 (2) [6] P.T.O.

Downloaded from hlayiso.com MATHEMATICS 4 (Paper 2) Grade 10 QUESTION 3 3.1 Without the use of a calculator (show all steps), determine the value of: cos 0  sin 2 60  2 sin 45 (4) 3.2 Find the value of x , without the use of a calculator. cos 50 . cos 30 . sec50 x . tan 60  tan 45 (5) f ( x)  2 tan x 3.3 Given: g ( x)  cos x  1 3.3.1 Sketch the graphs of f and g on the same set of axes on the ANSWER SHEET on page 6 for x  180 ;180  . (6) 3.3.2 Write down the amplitude of g . (1) 3.3.3 What is the period of f ? (1) 3.3.4 For which values of x is g ( x)  0 ? (2) [19] QUESTION 4 In the diagram below quadrilateral ABCD, AB // CD; ̂ = ; ̂ and ̂ 120 A D 2𝑥 B 𝑥 C 4.1 Prove that AD // BC. (4) 4.2 What type of quadrilateral is ABCD? Give a reason for your answer. (2) [6] P.T.O.

Downloaded from hlayiso.com MATHEMATICS 5 (Paper 2) Grade 10 QUESTION 5 ˆ and CR // BD. In the diagram below is ABCD, a parallelogram. CR bisects DCE A D 2 1 R O 1 1 2 2 E B C Prove that: 5.1 BC  CD (5) 5.2 ABCD is a rhombus. (3) 5.3 If it is given that BD = 24 and AB = 13 , then AC = 10 . (5) [13] TOTAL: 50 END

Downloaded from hlayiso.com MATHEMATICS 6 (Paper 2) Grade 10 ANSWER SHEET HAND THIS ANSWER SHEET IN TOGETHER WITH YOUR ANSWER BOOK. NAME: _____________________________________ GRADE: 10 _______ QUESTION 3 3.3.1 𝑦 𝑥 0