Year 11 MATHEMATICAL METHODS 2016 Exam 2 Technology Allowed

Year 11 MATHEMATICAL METHODS 2016

Unit 2

Exam 2

Technology Allowed

Reading Time: 10 minutes

Writing time: 90 minutes

QUESTION AND ANSWER BOOKLET

STUDENT NAME:

_________________________________________________

TEACHER:

Mrs Norman

Mrs Gilbert

Mrs Raphael

Mr Rossignolo

Section

Number of

Questions

Number of

Questions to be

answered

Number of marks

Section A

15

15

15

Section B

5

5

48

Total 63

This exam consists of 2 Sections.

Section A consists of 15 Multiple Choice Questions

Section B consists of 5 Extended Response Questions

Attempt ALL questions. When a question is worth more than 1 mark, marks will be awarded for correct

working out.

Students are permitted to bring into the test room: A CAS Calculator, Pens, pencils, highlighters,

erasers, sharpeners, rulers, a protractor and 1 set of A4 sized bound summary notes.

Students are NOT permitted to bring mobile phones and/or any other unauthorised electronic

communication devices into the test, blank sheets of paper and/or white out liquid/tape.

Write your name and circle your teacher¡¯s name in the space provided above on this page.

1|Page

Section A ¨C Multiple Choice

Question 1

b

The expression a c =

A

? 1?

b? ac ?

? ?

B

( a)

C

( a)

D

b

ac

E

ab

c

c

b

b

c

Question 2

The solution/s to the equation (3x ? 9)(5 x ? 1) =

0 is/are:

x=0

A

B

x=

?2or x =

0

C

=

=

x 1or

x 9

D

x = 2only

E

x = 2or x =0

Question 3

? 2x2 ? 9x ? 5 ?

lim ?

? =

2

x¡ú5

? x ? 25 ?

lim ( x ? 5 )

A

x ¡ú0

B

? 2x2 ? 9x ? 5 ?

lim ?

?

2

x¡ú?5

? x ? 25 ?

C

?1?

lim ? ?

x¡ú¡Þ x

? ?

D

? 5 ? 9x ?

lim ?

?

x¡ú5

? 25 ?

E

? 11 ?

lim ? ?

x ¡ú2 5 x

? ?

2|Page

Question 4

Consider the graph given below of y = f ( x) .

The average rate of change of f ( x) between P and Q would be given by

A

B

f (3 + h) ? f (3)

h ¡ú0

h

? f (3 + h) ? f (3) ?

lim ?

?

h¡ú3

3

?

?

lim

C

f '(3)

D

f (3 + h) ? f (3)

h

E

f (3 + h) + f (3)

Question 5

The graph of=

y ax 2 + bx passes through the point (3, 6) and has a stationary point at (1, -2).

The value of ' a ' and ' b ' are:

A

a = 2, b = ?4

B

a = 2, b = ?6

C

a = 1, b = ?2

D

a=

?2, b =

4

E

=

a 1,=

b 2

3|Page

Question 6

The graph of the function y = f ( x) is shown below

f '( x) < 0for :

A

x ¡Ê (? b, c ) ¡È (d , e )

B

x ¡Ê [? b, c ] ¡È [d , e]

C

x ¡Ê (? ¡Þ,? a ) ¡È (0, d ) ¡È (d , f )

D

x ¡Ê (? ¡Þ,? a ) ¡È (c, d ) ¡È (e, ¡Þ )

E

x ¡Ê (? ¡Þ,?b ) ¡È (c, d ) ¡È (e, ¡Þ )

Question 7

If log10 x ? 2log10 y =

1, then

A

x = 10 y 2

B

x ? 2y =

1

C

x ? y2 =

1

D

x = y2

E

x ? y2 =

10

4|Page

Question 8

The graphs of y = a x , where a is a constant, and of y = b , where b is a constant, are shown.

The point of intersection of the two graphs is

y = ax

A (b, a b )

B (b, a x )

C ( a b , b)

D (log a b, b)

E (log b a, b)

Question 9

? ¦Ð?

The range of the function f : ?0, ? ¡ú R, f ( x) = 3 sin( x) is

? 3?

A

?

??0,

3?

2 ??

B

3 ?

?

?0, 2 ?

?

?

C

[0, 3]

D

? 3 3?

?0,

?

2 ?

?

E

[0, ¦Ð ]

Question 10

The number of solutions to the equation 4sin(3 x) = 2 between ?2¦Ð ¡Ü x ¡Ü 2¦Ð is

A

0

B

3

C

12

D

13

E

15

5|Page

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download