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- 1. Multiple-choice3 minutes1 pt
Sarah considers investing $15,000 of her savings into a term deposit, returning 2.7%pa, compounding quarterly over 2 years. What is the total that she will receive at the end of her investment?

$15,986.17

$15,829.40

$15,899.27

15,934.76

- 2. Multiple-choice3 minutes1 pt
How many faces will there be for a connected planar graph that has 8 vertices and 10 edges?

7

9

5

4

- 3. Multiple-choice3 minutes1 pt
Which of the following are planar graphs?

- 4. Multiple-choice3 minutes1 pt
A walk is:

A route taken through a network that starts and ends at the same vertex

A route in which no edges are repeated

Any route taken through a network, including routes that repeat edges and vertices

A route in which no vertices are repeated, except possibly the start and finish

- 5. Multiple-choice3 minutes1 pt
A trail is:

A walk in which no edges are repeated

A walk in which no vertices are repeated, except possibly the start and finish

A route beginning and ending at the same vertex

A route taken through a network that starts and ends at the same vertex

- 6. Fill-in-the-Blank3 minutes1 pt
If John wants to invest a sum of money into an investment which compounds monthly for 2 years, how many compounding periods (n) are their?

- 7. Fill-in-the-Blank3 minutes1 pt
Use the above graph to identify a path commencing at M, including at least 10 vertices and finishing at D. (do not include comma's in your answer - eg MQTAHDP...).

- 8. Fill-in-the-Blank3 minutes1 pt
Use the above graph to identify a trail from A

A to C that includes exactly 7 edges (do not include comma's in your answer).

- 9. Fill-in-the-Blank3 minutes1 pt
Use the above graph to identify a cycle commencing at M that includes 10 edges (do not include comma's in your answer).

- 10. Multiple-choice3 minutes1 pt
Use the graph to identify the shortest distance to travel from A to D that goes to all vertices.

11

21

17

22

- 11. Multiple-choice3 minutes1 pt
Tracey invests $500

$500 into a fund at the end of each year for 20

20 years. The fund pays 12%

12% p.a. interest, compounded annually. The total amount of interest that Tracey earns on this fund investment is:

$4323.15

$26026.22

$4823.23

$26109.49

- 12. Multiple-choice3 minutes1 pt
Calculate the amount of each annual contribution needed to obtain $100â€‰000 in 10 years at 7.5% p.a., with interest compounded annually , correct to the nearest cent.

$7068.59 each year

$7590.92 each year

$6999.99 each year

$5000.00 each year

- 13. Multiple-choice3 minutes1 pt
A college alumni decides to set up a scholarship fund for a gifted musician at his old college, He invests in a perpetuity that is guaranteed an interest rate of 7.5%

7.5% p.a., compounded every six months. Determine the amount to be invested in this perpetuity to provide a regular six-monthly income of $3000

$3000.

$70,000

$75,000

$80,000

$85,000

- 14. Multiple-choice3 minutes1 pt
Calculate the 5-point moving average, centred around the 4th month.

31

33

37

34

- 15. Fill-in-the-Blank1 minute1 pt
Determine the critical path for the network.

(Do not put gaps between the comma's - Answer like this A,B,C)

- 16. Multiple-choice3 minutes1 pt
Which activity has the largest float time?

E

C

F

H

- 17. Fill-in-the-Blank3 minutes1 pt
What is the critical path for this activity network?

(Answer like this: A,B,C)

- 18. Multiple-choice5 minutes1 pt
The earliest completion time for the project is:

67 minutes

72 minutes

54 minutes

61 minutes

- 19. Multiple-choice1 minute1 pt
The annual percentage compound interest rate for this account is:

1.04%

104%

4%

0.04%

- 20. Multiple-choice1 minute1 pt
The balance at the end of the first year is:

$4472

$172

$4300

$4400

- 21. Multiple-choice1 minute1 pt
The interest earned in the first year is:

$104

$172

$40

$142

- 22. Multiple-choice3 minutes1 pt
An interest rate of 4.5% p.a. compounding monthly is equivalent to an effective interest rate of:

4.57%

4.50%

4.59%

4.55

- 23. Multiple-choice5 minutes1 pt
An investment of $6000 was placed in an account for 3 years at 4.25% p.a. compounded annually. How much MORE money would be collected if the investment was compounded quarterly?

$13.36

$32.97

$46.33

$52.29

- 24. Multiple-choice5 minutes1 pt
Warren wishes to invest $10â€‰000 for a period of 5 years (assume 365 days =1 year). The following investment alternatives are suggested to him. The best investment would be:

Simple interest at 9% p.a.

Compound interest at 8% p.a. with interest compounded annually

Compound interest at 7.8% p.a. with interest compounded six-monthly

Compound interest at 7.7% p.a. with interest compounded daily

- 25. Multiple-choice3 minutes1 pt
An investment of $10,000 at the rate of 7% per annum, compounded quarterly, will reach $14,800 in close to:

3 years

6 years

9 years

12 years

- 26. Multiple-choice1 minute1 pt
$i_{effective}=\left(1+\frac{i}{n}\right)^n-1$

If an interest rate is advertised as 6% pa compounding monthly, the values for $i$ and $n$ in the effective annual interest rate equation are:0.6 and 3

0.06 and 12

0.6 and 36

0.06 and 36

- 27. Multiple-choice1 minute1 pt
An annuity is:

investing for retirement

a form of compound investment

regular payments made to an investment which is compounding

a single sum investment

- 28. Multiple-choice1 minute1 pt
$A_{n+1}=1.00479An+450,\ A_0=450$

The regular payment made into this investment/annuity is:$1004.79

$450

$479

$1450

- 29. Multiple-choice3 minutes1 pt
$A_{n+1}=1.0125An+450,\ A_0=450$

Which one of the following shows the values of the annuity, correct to the nearest dollar, after each of the first 4 payments?450,â€‰456,â€‰461,â€‰467

450,â€‰900,â€‰1350,â€‰1800

456,â€‰911,â€‰1373,â€‰1840

450,â€‰906,â€‰1367,â€‰1384

- 30. Multiple-choice3 minutes1 pt
$i_{effective}=\left(1+\frac{i}{n}\right)^n-1$

If an interest rate is advertised as 6%pa, compounding weekly, the effective interest rate is:6.18%

6.52%

6.22%

6%

- 31. Multiple-choice2 minutes1 pt
Which one of the following recurrence relations represents $1000 invested every 3 months at 7.5% p.a. compounded quarterly?

$A_{n+1}=1.075A_n+1000,\ A_0=1000$

$A_{n+1}=1.01875A_n+1000,\ A_0=1000$

$A_{n+1}=1.075A_n+250,\ A_0=250$

$A_{n+1}=1.01875A_n+250,\ A_0=250$

- 32. Multiple-choice1 minute1 pt
$t_{n+1}=t_nâˆ’6\ \ \ \ \ \ t_1=âˆ’5$

Which of the following sequences is generated by the following recurrence relation?

âˆ’6,â€‰âˆ’1,â€‰4,â€‰9,â€‰........

âˆ’5,â€‰âˆ’6,â€‰âˆ’7,â€‰âˆ’8,â€‰........

âˆ’5,â€‰1,â€‰7,â€‰13,â€‰........

âˆ’5,â€‰âˆ’11,â€‰âˆ’17,â€‰âˆ’23,â€‰........

- 33. Fill-in-the-Blank3 minutes1 pt
Jojo invests $10,000 into an investment paying simple interest of 3.2%pa. What is the value of the investment in 5 years time?

- 34. Fill-in-the-Blank3 minutes1 pt
A loan of $1,000 is taken over 5 years. The total amount repaid for this loan is $1,800. The simple interest rate per year on this loan is closest to:

- 35. Multiple-choice3 minutes1 pt
The correct diagram for the table above is:

- 36. Multiple-choice5 minutes1 pt
Using the table above, the earliest start time for activity E is:

23

37

30

27

- 37. Multiple-choice5 minutes1 pt
Using the table above, the earliest completion time for the network:

56

67

69

59

- 38. Multiple-choice3 minutes1 pt
Perform a row reduction on the above matrix. Which of the following is the resultant row-reduced matrix?

- 39. Multiple-choice5 minutes1 pt
Perform a row AND column reduction on the above matrix. Which of the following is the resultant matrix?

- 40. Multiple-choice1 minute1 pt
In Earth geometry, great circles are defined as:

the equator and the lines of latitude

the equator and the lines of longitude

circles whose centre is the centre of the Earth

the lines of longitude and latitude

- 41. Fill-in-the-Blank1 minute1 pt
The above table displays the accuracy gained from a medical test screening for a virus. Note: A positive test indicates that the patient has the virus.

How many patients were screened for the virus?

- 42. Fill-in-the-Blank1 minute1 pt
The above table displays the accuracy gained from a medical test screening for a virus. Note: A positive test indicates that the patient has the virus.

How many positive tests were recorded?

- 43. Fill-in-the-Blank2 minutes1 pt
The above table displays the accuracy gained from a medical test screening for a virus. Note: A positive test indicates that the patient has the virus.

What percentage of test results were accurate?

- 44. Fill-in-the-Blank2 minutes1 pt
The above table indicates the results of a radar surveillance system. If the system detects an intruder, an alarm is activated.

If the alarm is activated, what is the percentage chance that there actually is an intruder? (show your answer to 1 decimal place and include a % - eg 52.7%)

- 45. Fill-in-the-Blank2 minutes1 pt
The above table indicates the results of a radar surveillance system. If the system detects an intruder, an alarm is activated.

What was the percentage of accurate results over the test period? (show your answer without any decimal places - eg 56%)

- 46. Multiple-choice30 seconds1 pt
Check the boxes which apply to the above scatterplot:

(Hint: relationship, direction, form)

Linear

Moderate

Non-linear

Positive

- 47. Multiple-choice30 seconds1 pt
Check the boxes which apply to the above scatterplot:

(Hint: relationship, direction, form)

Linear

Moderate

Non-linear

Positive

- 48. Multiple-choice30 seconds1 pt
Check the boxes which apply to the above scatterplot:

(Hint: relationship, direction, form)

Weak

Positive

Negative

Strong

- 49. Multiple-choice1 minute1 pt
$i_{effective}=\left(1+\frac{i}{n}\right)^n-1$

If an interest rate is advertised as 3.2%pa over 4 years, compounding quarterly, the values for $i$ and $n$ in the effective annual interest rate equation are:0.32 and 4

0.032 and 16

0.032 and 4

0.32 and 16

- 50. Multiple-choice30 seconds1 pt
The $n$ in the effective interest formula represents the:

Number of years that the interest is compounded

Number of years that the investment is earning interest

Number of compounding periods in a year

Number of days in a year

- 51. Multiple-choice30 seconds1 pt
You can recognise that you need to use the annuity formula when you are given a question that includes:

regular and equal payments into an investment

a lump sum payment at the start of the investment

a lump sum withdrawal at the end of the investment

any investment which has an annual interest rate

- 52. Multiple-choice2 minutes1 pt
Which of the following statements are correct?

If variable A increases at the same rate that variable B decreases, that means that there is definitely causation

Association always implies causation

If two variables follow a similar pattern, it means that the changes in one variable caused the changes in the other

Association does not imply causation

- 53. Multiple-choice45 seconds1 pt
A set of data was collected from a large group of professional sportspeople. They were asked the number of hours they trained per week and the amount of money they earned. The results were recorded, and the value of Pearson's correlation coefficient was found to be 0.87.

Which of the following is NOT true?

There is a positive association between the number of hours of training and the amount of money earned.

The increase in the number of training hours causes the increase in the amount of money earned.

The linear relationship between the two variables suggests that as the number of training hours increases, so too does the amount of money earned.

The association between the number of training hours and the amount of money earned can be classified as strong.

- 54. Multiple-choice3 minutes1 pt
For the data set $\overline{x}=11.5$ , $\overline{y}=16.5$ , $s_x=10.8$ , $s_y=5$ , $r=0.94$ the regression line equation is closest to:

$y=10+x$

$y=0.435+11.496x$

$y=0.876+0.936x$

$y=11.496+0.435x$

- 55. Multiple-choice30 seconds1 pt
The equation of the least-squares regression line is:

$y=mx+c$

$y=a+bx$

$y^2=b^2+a^2$

$m=y+x$

- 56. Multiple-choice3 minutes1 pt
If Jane is in Cairns (UTC +10) and phones her dad in Paris (UTC) at 7pm Friday Paris time. At what time must she call from Cairns?

5am Saturday

7am Saturday

5am Friday

7am Friday

- 57. Multiple-choice3 minutes1 pt
Mr Watson lives in Cairns (UTC +10) and wants to watch the NFL Superbowl live, without watching the hours of lead-up entertainment. The game is being played in New York (UTC -4) and kick-off is at 4pm Sunday. What time should Mr Watson tune in to start watching exactly at kick-off?

2am Sunday

4am Monday

2am Saturday

6am Monday

- 58. Multiple-choice3 minutes1 pt
An plan leaves Cairns (UTC +10) at 1pm on Sunday and flies to New York (UTC -4). The flight takes 24 hours. What will the time and day be in New York when the plane lands?

11pm Sunday

11am Monday

1pm Sunday

1pm Saturday