Teachers Name ……………………………….

MATHEMATICAL METHODS UNIT 1

EXAMINATION

Paper 2: Multiple Choice and Extended Answer

Technology Active

June 2008

Reading Time: 10 minutes

Writing time: 80 minutes

Instructions to students

This exam consists of Section A and Section B

Section A consists of 15 Multiple choice questions

Section B consists of 5 Extended answer questions

The multiple-choice questions should be answered on the sheet provided.

The extended answer should be answered in the spaces provided.

All questions in both sections should be answered.

Section A is worth 15 marks

Section B is worth 50 marks.

There is a total of 65 marks available.

Students may bring a bound note-book into the exam.

Students may use an approved Graphical Calculator.

The use of dictionaries is NOT permitted

VCE MATHEMATICAL METHODS B 2008

Unit 1 Examination Paper 2

Multiple Choice ANSWER SHEET

NAME: ______________________________________________________

Instructions

Write your name in the space provided above.

Write your name in the space provided above. Sign your name.

Use a PENCIL for ALL entries. If you make a mistake, ERASE it - DO NOT cross it out.

Marks will NOT be deducted for incorrect answers.

NO MARK will be given if more than ONE answer is completed for any question.

All answers must be completed like THIS example.

A

B

C

D

E

1

A

B

C

D

E

2

A

B

C

D

E

3

A

B

C

D

E

4

A

B

C

D

E

5

A

B

C

D

E

6

A

B

C

D

E

7

A

B

C

D

E

8

A

B

C

D

E

9

A

B

C

D

E

10

A

B

C

D

E

11

A

B

C

D

E

12

A

B

C

D

E

13

A

B

C

D

E

14

A

B

C

D

E

15

A

B

C

D

E

Name: ____________________________________

PAPER 2 – TECHNOLOGY FREE

Section A: Multiple Choice 15 1 mark

1. If two lines and are parallel then the value of a is:

A.

B.

C.

D.

E.

2. If then:

A.

B.

C.

D.

E.

3. What is the equation of the axis of symmetry for the graph of ?

A.

B.

C.

D.

E.

4. The range of the function is given by:

A.

B.

C.

D.

E. None of the above

5. Which one of the following graphs could represent the equation

A B C D E

6. If E and F are independent events with and , then is:

A. 1

B. 0.36

C. 0.24

D. 0.16

E. 0

7. The value(s) for which has two distinct solutions is(are):

A. k = -16

B. k = 3

C. all values of k

D. no value of k

E. k > 4

8. The graph shown could be that of a function f(x) whose rule is

A.

B.

C.

D.

E.

9. Suppose a card is drawn from a standard deck of 52 cards. Let A be the event that a diamond is drawn from the deck. Let B be the event that a club is drawn from the deck. The value of is:

A.

B.

C.

D.

E.

10. When the polynomial is divided by (x + 1) it has a remainder of 0.

The value of c is:

A. 0

B. 6

C. –6

D. 8

E. –1

11. The translated function of as shown in the diagram above can best be described as

A. 3 units up, 5 units right

B. 5 units down, 3 units right

C. 3 units up, 3 units right

D. 5 units up, 3 units left

E. 3 units up, 5 units right

12. Let , and .

Which of the following can not be calculated?

A.

B.

C.

D.

E.

13. The range of the function f: [-2, 3) → R where f(x) = - 2x + 3 is given by:

A. R

B. (-3,7)

C. (-3, 7]

D. [-3, 7)

E. R+

14. The matrix equation where , and is a representation of which of the following pairs of simultaneous linear equations?

A.

B.

C. D.

E.

15. Which one of the following functions has a positive rate of change of y with respect to x at

A.

B.

C.

D.

E.

Section B Extended answer 50 marks

1. Ted uses his mobile phone exclusively for text messages. One company offers the short message service (SMS) with a $16 service fee per 3 months and 15 cents per SMS.

a. If $y is the cost to Ted of making x SMS messages in a 3-month period, find the rule connecting y and x. What sort of relationship exists between x and y?

(2 marks)

b. Ted averages 100 messages a month. What is his expected bill every 3 months?

(1 mark)

c.