Financial
Algebra
Measurement
Statistics
Miscellaneous
100

A nanny charges $15 per hour, or part thereof, for looking after a child. 

What does the nanny charge for looking after a child from 8am until 3:20pm on a particular day?

7hrs and 20 mins = 8 hours

$120

100

What is the value of 3y0 + 1

4

100

What is the true bearing of A from C? 

325

100

A set of scores has the following five-number summary:

lower extreme = 2

lower quartile = 5

median = 6

upper quartile = 8

upper extreme = 9

What is the range?

7

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 value of the car is depreciated by 11.5% each year using the declining balance method. 

What is the value of the car after three years?

$16 566.38

200

The driving distance from Alex's home to his work is 20km. He drives to and from work five times each week. His car uses fuel at the rate of 8L/100km. 

How much fuel does he use driving to and from work each week?

16L

200

What is the value of theta, to nearest degree?

57 degrees

200

A survey asked 'how many brothers do you have?'. How would the response be classified?

Numerical, Discrete

200

What is the capital of Mexico?

Mexico City

300

Last year, Luke’s taxable income was $87 000 and the tax payable on this income was $19 822. This year, Luke’s taxable income has increased by $16 800


New income = 87 000 + 16 800 = $103 800

Tax payable = 19 822 + 0.37 × (103 800 – 87 000)

= $26 038

300

The length of a window is 2.4m. What is the percentage error for this measurement?

2.08%

300

How would you describe the symmetry of this data?

Negatively skewed

300

What is the value of theta, to the nearest degree?

53

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?

    $2225.00

400

What type of graph is in the form y = ax ?

What does it look like?

Exponential

400

73.12m2

400

A set of data is normally distributed with a mean of 48 and a standard deviation of 3. Approximately what percentage of the scores lies between 39 and 45?

15.85%

400

Who is this?

Paul McCartney

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 $281. As a result, Andrew paid off the loan one year 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 281 × 5 × 12 = $16 860 after the end of year 4.

He pays 17 496 – 16 860 = $636 less.

500

What is the solution to the following simultaneous solution?

y=x+5 and 3y - x = 7

x = -4, y = 1

500

The coordinates of city A are (39°N, 75°W). City B lies on the same longitude and is 5700 km south of city A. What is the latitude of city B ?

12 S

500

Joanna’s mark in the Physics test is 70. The mean mark for this test is 58 and the standard deviation is 8. Calculate the z-score for Joanna’s mark in this test

1.5

500

What is Carl Lewis famour for? 

Athletics