# S6 M2 Mock 2020-2021_v3.pdf - MOCK 20-21 MATH EP M2 Name...

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2020-2021 MATHEMATICS EXTENDED PART (Module 2 ) Mock Exam P.1 MOCK 20-21 MATH EP M2 CHRISTIAN ALLIANCE CHENG WING GEE COLLEGE S.6 Mock Examination 2020-2021 Mathematics Extended Part Module 2 (Algebra and Calculus) Question-Answer Book (2 1 / 2 hours) This paper must be answered in English INSTRUCTIONS 1. After the announcement of the start of the examination, you should first write your Name, Class and Class Number in the spaces provided on Page 1. 2. This paper consists of TWO Sections, A and B. 3. Attempt ALL questions in this paper. Write your answers in the spaces provided in this Question-Answer Book. Do not write in the margins. Answers written in the margins will not be marked. 4. Graph paper and supplementary answer sheets will be supplied on request. Write your Name and mark the question number box on each sheet, and fasten them with string INSIDE the book. 5. Unless otherwise specified, all working must be clearly shown. 6. Unless otherwise specified, numerical answers must be exact. 7. In this paper, vectors may be represented by bold-type letters such as u , but candidates are expected to use appropriate symbols such as u in their working. 8. The diagrams in this paper are not necessarily drawn to scale. Marks Section A /50 Section B /50 Total /100 Name Class Class No.
2020-2021 MATHEMATICS EXTENDED PART (Module 2 ) Mock Exam P.2 Answers written in the margins will not be marked. Answers written in the margins will not be marked. FORMULAS FOR REFERENCE B A B A B A sin cos cos sin ) sin( 2 cos 2 sin 2 sin sin B A B A B A B A B A B A sin sin cos cos ) cos( 2 sin 2 cos 2 sin sin B A B A B A B A B A B A tan tan 1 tan tan ) tan( 2 cos 2 cos 2 cos cos B A B A B A ) sin( ) sin( cos sin 2 B A B A B A 2 sin 2 sin 2 cos cos B A B A B A ) cos( ) cos( cos cos 2 B A B A B A ) cos( ) cos( sin sin 2 B A B A B A ******************************************************************************** SECTION A (50 marks) 1. Given 𝑓(𝑥) = 𝑥sin2𝑥 . Find 𝑓′ ( 𝜋 4 ) from first principles. (5 marks)
2020-2021 MATHEMATICS EXTENDED PART (Module 2 ) Mock Exam P.3 Answers written in the margins will not be marked. Answers written in the margins will not be marked. 2. It is given that (1 – 2x ) n (1 – kx ) 7 = 1 + 11 x + 19 x 2 + terms involving higher powers of x , where n is a positive integer and k is a constant. Find the values of k and n .
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