MATHEMATICS Extended Part Module 2 ... - 香港考試及評核局

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Please stick the barcode label here. Candidate Number. 2013-DSE. Level 5 M2 exemplar. MATH EP. M2. HONG KONG EXAMINATIONS AND ASSESSMENT ...
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Please stick the barcode label here.

2013-DSE MATH EP M2

HONG KONG EXAMINATIONS AND ASSESSMENT AUTHORITY HONG KONG DIPLOMA OF SECONDARY EDUCATION EXAMINATION 2013

Candidate Number

   

MATHEMATICS  Extended Part   Module 2 (Algebra and Calculus)   Question­Answer Book   8.30 am – 11.00 am (2½ hours)

This paper must be answered in English

INSTRUCTIONS 1.

After the announcement of the start of the examination, you should first write your Candidate Number in the space provided on Page 1 and stick barcode labels in the spaces provided on Pages 1, 3, 5, 7, 9, 11, 13 and 15.

2.

Answer 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.

3.

Graph paper and supplementary answer sheets will be supplied on request. Write your Candidate Number, mark the question number box and stick a barcode label on each sheet, and fasten them with string INSIDE this Book.

4.

Unless otherwise specified, all working must be clearly shown.

5.

Unless otherwise specified, numerical answers must be exact.

6.

In this paper, vectors may be represented by bold-type letters such as u, but candidates are expected to use appropriate r symbols such as u in their working.

7.

The diagrams in this paper are not necessarily drawn to scale.

8.

No extra time will be given to candidates for sticking on the barcode labels or filling in the question number boxes after the ‘Time is up’ announcement.

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香港考試及評核局

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Hong Kong Examinations and Assessment Authority All Rights Reserved 2013

2013-DSE-MATH-EP(M2)–1

1

*A032E001* 

Comments

The candidate demonstrates comprehensive knowledge and understanding of the concepts underpinning algebra and calculus in the curriculum by applying them successfully at a sophisticated level to a wide range of unfamiliar situations in Questions 11 and 13. He/She is able to communicate and express views and arguments precisely and logically using mathematical language, notations, diagrams and graphs, such as limit notations in Question 1, binomial coefficients in Question 2, graph of a rational function in Question 5, matrix notations in Question 8 and augmented matrices in Question 9. The candidate also provides complex mathematical proofs in a logical, rigorous and concise manner such as when proving the identities in Questions 3, 11 and 13. Moreover, he/she is able to integrate knowledge and skills from different areas of the curriculum in handling complex tasks using a variety of strategies, such as vector algebra and plane geometry in Question 10, and trigonometry and differentiation in Question 12.