Financial Math
$6000 is invested in an account that earns simple interest at the rate of 3.5% per annum.
The total interest earned in the first four years is
(a) $70
(b) $84
(c) $210
(d) $840
(d) $840
An unbiased coin is tossed 10 times.
A tail is obtained on each of the first 9 tosses.
What is the probability that a tail is obtained on the 10th toss?
(A) 1/210
(B) 1/2
(C) 1/10
(D) 9/10
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) 69cm
What is the value of
(a - b)/4
, if a = 240 and b = 56 ?
(a) 4
(b) 46
(c) 226
(d) 736
(b) 46
A high school has 100 students in each year group, Year 7 to Year 12. A survey is to be conducted to determine the average number of text messages sent per month by students at the school.
Which of the following would provide the most representative sample for this survey?
(A) All Year 7 students
(B) All physics students in Year 11 and 12
(C) 20 students chosen at random from each year group
(D) 120 students chosen at random from the school roll
(c) 20 students chosen at random from each year group
Jane sells jewellery. Her commission is based on a sliding scale of 6% on the first $2000 of her sales, 3.5% on the next $1000, and 2% thereafter.
What is Jane’s commission when her total sales are $5670?
(a) $188.40
(b) $208.40
(c) $321.85
(d) $652.05
(b) $208.40
In a survey of 200 randomly selected Year 12 students it was found that 180 use social media.
Based on this survey, approximately how many of 75 000 Year 12 students would be expected to use social media?
A. 60 000
B. 67 500
C. 74 980
D. 75 000
(b) 67 500
Julia is 82 kg and has consumed 6 standard drinks in the past two hours. She was stopped by police for a random breath test. What would be Julia's BAC? Is she over the limit? Answer correct to 3 decimal places.
(a) 0.099
(b) 0.010
(c) 0.100
(d) 0.081
(c) 0.100
What is the value of x in the equation
(5 - x)/3 = 6
(a) -13
(b) -3
(c) 3
(d) 13
(a) - 13
A survey asked the following question for students born in Australia:
"Which State or Territory were you born in?"
How would the responses be classified?
(a) Categorical, ordinal
(b) Categorical, nominal
(c) Numerical, discrete
(d) Numerical, continuous
(b) Categorical, nominal
Tian is paid $20.45 per hour, as well as a meal allowance of $16.20 per day.
What are Tian's total earnings if she works 9 hours per day for 5 days?
(a) $329.85
(b) $936.45
(c) $1001.25
(d) $1649.25
(c) $1001.25
A bag contains some marbles. The probability of selecting a blue marble at random from this bag is 3/8.
Which of the following could describe the marbles that are in the bag?
(A) 3 blue, 8 red
(B) 6 blue, 11 red
(C) 3 blue, 4 red, 4 green
(D) 6 blue, 5 red, 5 green
(d) 6 blue, 5 red, 5 green
Select the correct formula for perimeter of a sector.
(A)
pi*r^2+2r
(B)
2*pi*r+2r
(C)
theta/360*pi*r^2+2r
(D)
theta/360*2*pi*r+2r
(D)
theta/360*2*pi*r+2r
Calculate the BAC of a male who consumed 4 standard drinks in 3.5 hours and weighs 68 kgs, correct to 2 decimal places.
(a) 1.03
(b) 0.03
(c) 0.04
(d) 0.01
(b) 0.03
A survey of which of the following would provide data that are both categorical and
nominal?
(a) Hair colour
(b) Height in centimetres
(c) Number of people present at a concert
(d) Size of coffee cup classified as small, medium or large
(a) Hair colour
Luke's normal rate of pay is $15 per hour per hour. Last week he was paid for 12 hours, at time-and-half. How many hours would Luke need to work this week, at double time, to earn the same amount?
(a) 4
(b) 6
(c) 8
(d) 9
(d) 9
There are four candidates for the positions of leader and deputy leader. The four candidates are Angus, Bridget, Connor and Dannielle.
How many combinations are there in the sample space? (drawing a tree diagram may help).
(A) 8
(B) 12
(C) 16
(D) 4
(B) 12
For a trapezium which of the below statements is NOT true?
(A) It has 4 sides.
(B) It is a quadrilateral.
(C) It has one pair of parallel sides.
(D) It cannot contain a right-angle.
(D) It cannot contain a right-angle
Solve 5w + 4 = 29
(a) 2
(b) 4
(c) 5
(d) 6
(c) 5
Josh bought a bike for $1200 and sold it to Mary at a 15% loss a year later.
Mary fixed the bike up and sold it for $1173 a month later.
What percentage profit (or loss) did Mary make on her sale.
13%
Using a tax table, determine the tax payable on a taxable income of $47 000.
(a) $5742
(b) $5741.67
(c) $5741.68
(d) $20367
(a) $5742
Each time she throws a dart, the probability that Mary hits the dartboard is 2/7 .
She throws two darts, one after the other.
What is the probability that she hits the dartboard with both darts?
(a) 1/21
(b) 4/49
(c) 2/7
(d) 4/7
(B) 4/49
A path 1.5 metres wide surrounds a circular lawn of radius 3 metres.
What is the approximate area of the path?
(A) 7.1 m²
(B) 21.2 m²
(C) 35.3 m²
(D) 56.5 m²
(C) 35.3 m²
A plumber charges a call-out fee of $90 as well as $2 per minute while working.
Suppose the plumber works for t hours.
Which equation expresses the amount the plumber charges (C) as a function of time (t hours)?
(a) C= 2 + 90t
(b) C = 90 + 2t
(c) C=120 + 90t
(d) C= 90 + 120t
(d) C= 90 + 120t
Make f the subject of the formula
g=4/9*f+12
(A)
f=9/4*g-12
(B)
f=(9(g+12))/4
(C)
f=(9g-12)/4
(D)
f=(9(g-12))/4
(D)
f=(9(g-12))/4