2014 Summer HolidayMathematics Extended Part Module 1 (Calculus and Statistics)Mind-refreshing Exercise 1

Secondary 4

Class: S. 4 A Class Number: 16 Date: Mark: /27

Time allowed: 15 minutes

1. Determine whether the expansion of consists of

(a) a constant term(b) anterm

In each part, find the term if it exists.(6 marks)

HKCEE-Amaths-03-Q12 2.

If the coefficient ofin the expansion ofis 66, find the value of n and the coefficient of.(6 marks)

HKCEE-Amaths-07-Q12

3. A merchant sells compact discs (CDs). A market researcher suggests that if each CD is sold for $x, the number of CDs sold per week can be modelled by

where a and b are constants.

The merchant wants to determine the values of a and b based on the following results obtained from a survey:x20304050

450301202136

(a)(i)Express as a linear function of x. (ii)Use the table and graph paper below to estimate graphically the values of a and b correct to 2 decimal places.

x20304050

(7 marks)(b)Suppose the merchant wishes to sell 400 CDs in the next week. Use the values of a and b estimated in (a) to determine the price of each CD. Give your answer correct to 1 decimal place. (2 marks)

(c)It is known that the merchant obtains CDs at a cost of $10 each. Let dollars denote the weekly profit. Using the values of a and b estimated in (a),

(i)express in terms of x;

(ii)find and hence determine the selling price for each CD in order to maximize the profit. (6 marks)

- End of Exercise 1 -

2014 Summer HolidayMathematics Extended Part Module 1 (Calculus and Statistics) Mind-refreshing Exercise 1Suggested Solutions

Q1 (6 marks)

1A

1M

(a)Put :1Mr = 61A

(b)Put :1M

r = which is not an integer.

1A+1M

Q2 (6 marks)

Q3 (15 marks)

Marks conversion table

(For Reference Only)2013 Chemistry Cut-offQuiz Score

LevelPercentage27

5**92%25

5*79%22

571%20

455%15

338%11

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