Prelim Money
(A) $44 858.50
(B) $45 131.50
(C) $46 218.50
(D) $46 491.50
Two dice are rolled. What is the probability that only one die shows a 6?
(A) 1/36
(B) 1/6
(C) 5/18
(D) 11/36
(C) 5/18
A square with sides 16 cm has four equal circles drawn inside it so that their area is maximised (it kinda looks like the top of a stove).
The circles cover an area of approximately:
(A) 50 cm2
(B) 101 cm2
(C) 201 cm2
(D) 402 cm2
(C) 201 cm2
(A) 7a2b
(B) 10a2b
(C) 3a2b + 13ab
(D) -3a2b + 13ab
What amount must be invested now at 4% per annum, compounded quarterly, so that in five years it will have grown to $60 000?
(A) $8919
(B) $11 156
(C) $49 173
(D) $49 316
(C) $49 173
Which of the following would NOT count as an allowable tax deduction?
(A) Work uniforms
(B) Union fees
(C) Travel costs to a conference
(D) Travel costs to and from work
(D) $8670
Daniel is deciding on the number of digits required for an invoice number. How many more numbers are available if Daniel uses five digits (e.g. 78012) compared to using four digits (e.g. 1275)?
(A) 10
(B) 90 000
(C) 10 000
(D) 100 000
(B) 90 000
A square with sides 16 cm has four equal circles drawn inside it so that their area is maximised (it kinda looks like the top of a stove).
What is the approximate area of the shape when the circles are removed?
(A) 55 cm2
(B) 146 cm2
(C) 155 cm2
(D) 206 cm2
(A) 55 cm2
(A) 13y/2
(B) 13y/4
(C) 36y2/4
(D) 9y2/2
Chris opens a bank account and deposits $1000 into it. Interest is paid at 3.5% per annum, compounding annually.
Assuming no further deposits or withdrawals are made, what will be the balance in the account at the end of two years?
(A) $1070.00
(B) $1071.23
(C) $1822.50
(D) $2070.00
(B) $1071.23
Bradley receives a bill for $489.50 for car repairs, which includes GST. The cost of the repairs without the tax was:
(A) $440.55
(B) $445.00
(C) $489.50
(D) $538.45
(B) $445.00
In how many different ways can the letters of the word ‘MATHS’ be arranged in a row?
(A) 6
(B) 21
(C) 24
(D) 120
(D) 120
A rectangular garden measures 5 m by 4 m. A path 1 m wide is to be built around the garden. The area of the concrete is:
(A) 10 m2
(B) 20 m2
(C) 22 m2
(D) 35 m2
(C) 22 m2
(A) -8p - 12q
(B) -8p + 12q
(C) -8p - 3q
(D) -8p + 3q
Three years ago an appliance was valued at $2467. Its value has depreciated by 15% each year, based on the declining-balance method.
What is the salvage value today, to the nearest dollar?
(A) $952
(B) $1110
(C) $1357
(D) $1515
(D) $1515
A camera costs $449, including 12% GST.
What is the price of the camera without GST, correct to the nearest dollar?
(A) $395
(B) $401
(C) $437
(D) $503
(B) $401
Three random cards are drawn from a standard deck. The first two are the two of clubs and the three of diamonds. What is the probability that the next card is a four?
Which of these gives the volume of a hemisphere?
(A) 4/3 π r2
(B) 4/3 π r3
(C) 2/3 π r2
(D) 2/3 π r3
(D) 2/3 π r3
Sophie is driving at 70 km/h. She notices a branch on the road ahead and decides to apply the brakes. Her reaction time is 1.5 seconds. Her braking distance (D metres) is given by D=0.01v2, where v is speed in km/h.
Stopping distance can be calculated using the following formula
stopping distance = {reaction time distance} + {braking distance}
What is Sophie’s stopping distance, to the nearest metre?
78 m
Ariana is charged compound interest at the rate of 0.036% per day on outstanding credit card balances. She has $780 outstanding for 24 days.
How much compound interest is she charged?
$6.77
At a suave holiday resort, the probability of rain on any one day is 1/3. How many days would you expect to have rain on an 18-day holiday?
6
A measurement of 72 cm is increased by 20% and then the result is decreased by 20%.
What is the new measurement, correct to the nearest centimetre?
(A) 46 cm
(B) 69 cm
(C) 72 cm
(D) 104 cm
(B) 69 cm
When Jake stops drinking alcohol at 10:30 pm, he has a blood alcohol content (BAC) of 0.08375.
The number of hours required for a person to reach zero BAC after they stop consuming alcohol is given by the formula
Time=BAC/0.015.
At what time on the next day should Jake expect his BAC to be 0.05
(A) 12:45 am
(B) 1:50 am
(C) 2:15 am
(D) 4:05 am
(A) 12:45 am
Zina opened an account to save for a new car. Six months after opening the account, she made first deposit of $1200 and continued depositing $1200 at the end of each six month period. Interest was paid at 3% per annum, compounded half-yearly.
How much was in Zina's account two years after first opening it?
$4909.08