Financial
Algebra
Measurement
Statistics
Number
100
A nanny charges $15 per hour for looking after a child.
What does the nanny charge for looking after a child from 8am until 4pm on a particular day?
$120
100
Simplify:
4x + 3y - x - 5y
3x - 2y
100
What is 0.000000326 in scientific Notation?
3.26 x 10-7
100
A graph has a mode larger than its median, and its median larger than its mean.
How would you describe the symmetry of this data?
Negatively skewed
100
A factory’s quality control department has tested every 50th item produced for possible defects.
What type of sampling is this?
Systematic
200
A car is purchased for $23 900. The car loses $4100 in value every year.
What is the value of the car after three years?
$11 600
200
Spot the mistake:
137 = 5t3 - 2
135 = 5t3
27 = t3
t = 3
Line 2
200
75cm is increased by 20%, then decreased by 20%.
What is the new measurement?
72cm
200
A survey asked 'how many brothers do you have?'. How would the response be classified?
Numerical, Discrete
200
Sam is the driver at fault in a car accident.
Which of the following will be covered by Sam's compulsory third-party CTP insurance?
a) repair for Sam's car
b) injury to the other driver
c) damage to the other driver's car
d) cost of repairing a building damaged in the accident
B
300
Luke’s taxable income was $103 800. Calculate:
a) his 2% Medicare Levy
b) Income tax
c) total tax payable
a) $2076
b) $26 038
c) $28114
300
If d = 6t2, what are the values of t when d = 2400?
20 and -20
300
The length of a window is 2.4m. What is the percentage error for this measurement?
2.08%
300
A set of scores has the following five-number summary:
Min: 3
Q1: 8
Med: 9
Q3: 11
Max: 16
What is the LOWEST possible score before it is considered an outlier?
4.5
300
A 225-watt television is turned on for an average of 4 hours per day during off-peak periods for a week.
The television electricity is charged at $0.36/kWh.
How much does it cost to run the television for a week?
$2.52
400
Tom earns a weekly wage of $1025. He also receives an additional allowance of $87.50 per day when handling toxic substances. What is Tom’s income in a fortnight in which he handles toxic substances on 5 separate days?
(1025 x 2) + (87.5 x 5) = $2487.50
400
Graph the line neatly:
y = 2x - 6
Teacher to check
400
73.12m2
400
Christina has completed 3 tests and has a mean mark of 72%.
What percentage she have to get in her next test to increase her mean mark to 75%?
84%
400
The driving distance from Alex's home to his work is 18km. He drives to and from work five times each week. His car uses fuel at the rate of 11.2L/100km.
How much fuel does he use driving to and from work each week (to 2 decimal places)?
20.16L
500
Andrew borrowed $20 000 to be repaid in equal monthly repayments of $243 over 10 years. Having made this monthly repayment for 4 years, he increased his monthly repayment to $320. As a result, Andrew paid off the loan two years earlier. How much less did he repay altogether by making this change?
Based on the original repayments, Andrew has to pay 243 × 6 × 12 = $17 496 after the end of year 4.
Based on the increased repayment, Andrew has to pay 320 × 5 × 12 = $15 360 after the end of year 4.
He pays 17 496 – 15 360 = $2136 less.
500
The total cost ($C) of an excursion is given by the rule:
C = 2n + 5
If three extra students go on the excursion, by how much does the cost increase?
$6
500
How many square centimetres are in 0.0075m2 ?
75
500
Give examples of 2x SURVEY QUESTIONS that could be asked for each type of data below:
a) categorical ordinal
b) categorical nominal
c) numerical discrete
d) numerical continuous
Teacher to check
500
In a survey of 200 students, 180 of them were found to use social media.
Based on this, approximately how many students would use social media if 75000 students were surveyed?
67500