612 if the graph of y 2 tan x is reflected about the

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6.1.2If the graph ofy=2 tanx is reflected about thex-axis, write down the equation of the new graph obtained by this reflection. 6.2The diagram below shows the graph ofg(x)=asinxfor0° ≤x360°. Y 4 3 g 2 1 X 090°180°270°360° -1 -2 -3 -4 (4) (1) 6.2.1Determine the value ofa.(1) 6.2.2If the graph ofgis translated 2 units upwards to obtain a new graphh, write down the range ofh.(2) [8] Copyright reservedPlease turn over
SHANDUKANI THENDO OSCAR BLACKLION XTRA CLASSESSMathematics/P29DBE/2012 NSCGrade 10 Exemplar QUESTION 7 7.1The roof of a canvas tent is in the shape of a right pyramid having a perpendicular height of 0,8 metres on a square base. The length of one side of the base is 3 metres. A 0,8 m H GD F3 m 7.1.1Calculate the length of AH.(2) 7.1.2Calculate the surface area of the roof.(2) 7.1.3If the height of the walls of the tent is 2,1 metres, calculate the total amount of canvas required to make the tent if the floor is excluded.(2) 7.2 A metal ball has a radius of 8 millimetres. 7.2.1Calculate the volume of metal used to make this ball, correct to TWO decimal places.(2) 7.2.2If the radius of the ball is doubled, write down the ratio of the new volume : the original volume.(2) 7.2.3You would like this ball to be silver plated to a thickness of 1 millimetre. What is the volume of silver required? Give your answer correct to TWO decimal places.(2) B C E [12] Copyright reservedPlease turn over
SHANDUKANI THENDO OSCAR BLACKLION XTRA CLASSESSMathematics/P210DBE/2012 NSCGrade 10 Exemplar Give reasons for your statements in the answers to QUESTIONS 8 and 9. QUESTION 8 PQRS is a kite such that the diagonals intersect in O. OS = 2 cm and OPˆ S=20°. Q PO R 20° 2 cm S 8.1Write down the length of OQ.(2) 8.2ˆ (2) Write down the size ofPOQ . 8.3ˆ (2) Write down the size of QPS. [6] QUESTION 9 In the diagram, BCDE and AODE are parallelograms. A B E F O CD 9.1Prove that OF || AB.(4) 9.2Prove that ABOE is a parallelogram.(4) 9.3Prove thatABO≡ ∆EOD.(5) [13] TOTAL:100 Copyright reserved
SHANDUKANI THENDO OSCAR BLACKLION XTRA CLASSESSMathematics/P2DBE/2012 NSCGrade 10 Exemplar CENTRE NUMBER: EXAMINATION NUMBER: DIAGRAM SHEET 1 QUESTION 6.1.1 Y 6 5 4 3 2 1 X 90180270 360 -1 -2 -3 -4 -5 -6 QUESTION 9 A B E F O CD Copyright reserved
SHANDUKANI THENDO OSCAR BLACKLION XTRA CLASSESSNATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS P2 EXEMPLAR 2012 MEMORANDUM MARKS: 100 This memorandum consists of 10 pages. Copyright reservedPlease turn over
SHANDUKANI THENDO OSCAR BLACKLION XTRA CLASSESSMathematics/P22DBE/2012 NSCGrade 10 ExemplarMemorandum NOTE: If a candidate answers a question TWICE, only mark the FIRST attempt. If a candidate has crossed out an attempt of a question and not redone the question, mark the crossed out version.

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