Explanatory notes: SECTION A – Multiple-choice ... - Audentia

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Explanatory notes: Note that the VCAA only supplies multiple-choice answers to sample papers. Every

effort has been made to ensure that these solutions are correct.

The author of these solutions has no affiliation with the VCAA.

SECTION A – Multiple-choice questions

Question 1:

Answer: B

Working

So 3a and 213 5 12b b .

TI-Nspire CAS screenshot(s)

2

Question 2:

Answer: B

Working

10,

2x

f is an increasing function so

, 2y


3

Question 3:

Answer: D

Working

1 3( )

2 3

x xf x

x x

so 3

( ) 1 , 32

f x xx


4

Question 4:

Answer: D

Working

Use of the expand command

suggests that the answer is D.


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Question 5:

Answer: D

Working

You could use TI-Nspire CAS to

check some (or all) of the

alternatives. 2 2 4x y from alternative D.


Question 6:

Answer: B

Working

From the conjugate root theorem,

3z i is also a root.

So B.


TI-Nspire CAS functionality does not offer

any assistance here.

Question 7:

Answer: B

Working

Alternative B gives the correct

gradients on the y-axis and correct

period of the gradient line segments.

Further the graph would have

equation 0.5sin 2y x and so

cos 2dy

xdx

.


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Question 8:

Answer: B

Working

3

0

2

0

2

0

1

2

1

1

2

1

3 sin

3 sin 1 cos

3 1 cos

3 1

3 1

A x dx

x x dx

dux dx

dx

u du

u du


Question 9:

Answer: E

Working

1 2 0.1 2 2.20y

The Notes application featuring

Euler’s method can be used in an

exam.


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Question 10:

Answer: C

Working

22

0

2

0

1 cos 28

V x dy

y dy


Question 11:

Answer: C

Working

112.4

The Notes application can be used to

calculate the angle between two

vectors.


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Question 12:

Answer: E

Working

8ˆa b3


calculate the scalar resolute.


Question 13:

Answer: B

Working

i j at 9t


calculate a velocity vector (a

particle’s direction of motion).


Question 14:

Answer: C

Working

The diagonals of a rhombus are

perpendicular so:

a b a b 0




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Question 15:

Answer: A

Working 23

12 32

xF x


Question 16:

Answer: D

Working

Solving the differential equation and

then obtaining v in terms of t gives

D

22 log 5et

v e

.


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Question 17:

Answer: D

Working

Resolving forces vertically and

solving for T gives 4 3T g .


Question 18:

Answer: E

Working

E E 3E

10 9

1

Z X Y

2 2

2 2

var 1 var 3 var

8 9 2

100

Z X Y

sd 10Z


perform expectation calculations.


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Question 19:

Answer: A

Working

Let X be the class mean.

E 30X and 27

var20

X

Pr 32 0.1007X


perform normal distribution

calculations.


Question 20:

Answer: C

Working

A type I error is made where H0 is

rejected when H0 is true.




Explanatory notes: SECTION A – Multiple-choice ... - Audentia

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