Limpopo-Maths-Grade-11-March-2023-QP-only_hlayiso.com_.pdf

Downloaded from hlayiso.com Downloaded from Stanmorephysics.com LIMPOPO PROVINCIAL GOVERNMENT REPUBLIC OF SOUTH AFRICA DEPARTMENT OF EDUCATION SEKHUKHUNE SOUTH DISTRICT =—- MATHEMATICS TEST 1 MARGH 2023 MARKS: 50 TIME: 1 hour This question paper consists of 4 pages including the cover page.

Downloaded from hlayiso.com Downleadedt from Stanmorepsysics.com March 2023 INFORMATION AND INSTRUCTION 1. This question paper consists of THREE questions. 2. Answer all questions. 3. Clearly show ALL calculations, diagrams, graphs etc. that you have used to determine your answers. 4. Answers only will NOT necessarily be awarded full marks. 5. You may use approved scientific calculator (non-programmable calculator and non- graphical), unless stated otherwise. 6. If necessary, round off answers to TWO decimal places, unless stated otherwise. 7. Write nearly and legibly. Page 2 of 4

Downloaded from hlayiso.com Downleadedt from Stanmorepsysics.com March 2023 QUESTION 1 1.1 Solve for x 11.1 —-@x+4)(x—2) =0 1.1.2 5x? = 11x — 4 (Correct to TWO decimal places) 113 V2x+7 =4-x 1.1.4 x?-x-56<0 1.2. Solve for simultaneously for x and y: 3Y = 81%*1 and x* —6x-—20=y QUESTION 2 2.1 Simplify fully, WITHOUT using a calculator 2.2 If y= 100 000 ,» WITHOUT USING A CALCULATOR, determine the value V16 x V625 x V10 in terms of y. 2.3 Determine the value(s) of k for which the equation ; =x?—x+1wherek #0 has real roots. QUESTION 3 DO NOT USE A CALCULATOR WHEN ANSWERING QUESTION 3. 3.1 Given: tana = = and 180° < a < 360° Use a sketch to determine the value of sina + cosa. 3.2 If cos 32° = k, determine the values of the following in terms of k 3.2.1 cos 212° 3.2.2 sin(—328°) Page 3 of 4 (2) (4) (4) (3) (6) [19] (3) (4) (5) [12] (5) (2) (3)

Downloaded from hlayiso.com Downloaded. from Stanmoreps&ysics.com March 2023 3.3 Prove that : 1 + cos(90° + @).sin(180° — @) = cos 8 (3) 3.4 Simplify to a single trigonometric ratio: (6) sin(—60°). cos 180° — tan?135°. sin 270° — tan 300°. cos 210° [19] TOTAL : 50 Page 4 of 4