Linear & Non linear relationships
Trigonometry
Rates & Ratio
Financial
Networks
100

The fuel consumption of a car which travel 350km on 40L of petrol.


What is 11.4L/100km

100

The area of the triangle to the nearest square metre.

What is 172 m?

100

An old washing machine uses 130 L of water per load. A new washing machine uses 50 L per load.

The water is saved each year if two loads of washing are done each week using the new machine

What is 8320 Litres ?

100

Kerry has a credit card. She is charged 0.05% compound interest per day on outstanding
balances.

The interest is Kerry charged on an amount of $250, which is outstanding on her
credit card for 30 days.

What is $3.77 ?

100

The number of edges in the graph.

What is 8 ?

200

A plumber charges a call out fee of $90 as well as $2 per minute while working. The plumber worked for t hours. The equation which expresses the amount the plumber charges ($C) as a function of time (t hours).

What is C=90+120t ?

200

The distance from P   to  Q  to the nearest kilometre.

What is 164.88km ?

200

The concentration of a drug in a certain medication is 100 mg / 5 mL. A patient is prescribed 2000 mg of the drug.

The medication should be given to the patient.

What is 100mL ?

200

A family currently pays $320 for some groceries.

Assuming a constant annual inflation rate of 2.9%, the amount that would be paid for the same groceries in 5 years’ time.

What is $369.17 ?

200

The directed network below shows the sequence of 11 activities that are needed to complete a project.

The time, in weeks, that it takes to complete each activity is also shown.

The number activities that could be delayed without affecting the minimum completion time of the project.

What is 4 ?

300

The weight of a bundle of A4 paper ( kg) varies directly with the number of sheets (N) of A4 paper that the bundle contains.

The weight of a bundle containing 500 sheets of A4 paper is 2.5 kilograms.

The number of sheets of A4 paper in the bundle of 1.2 kilograms.

What is 240 sheets?

300

The size of the smallest angle in the triangle.

What is 47?

300

A child who weighs 14 kg needs to be given 15 mg of paracetamol for every 2 kg of body weight.

Every 10 mL of a particular medicine contains 120 mg of paracetamol.

The correct dosage of this medicine for the child.

What is 8.75 mL ?

300

A person owns 1526 shares with a market value of $8.75 per share. The total dividend received for these shares is $1068.20.

The percentage dividend yield.

What is 8% ?

300

The critical path through this network.

What is DEGIK ?

400

The equation of this line.

y=11-2x

400

The bearing of Town B from Town C.

What is 161o ?

400

Calls on a mobile phone plan are charged at the rate of 54 cents per 30 seconds, or part thereof.

The cost of a call lasting 2 minutes and 15 seconds.

What is $2.70 ?

400

Sam purchased 500 company shares at $3.20 per share. Brokerage fees were 1.5% of the purchase price.

Sam is paid a dividend of 26 cents per share, then immediately sells the shares for $4.80 each.

No further brokerage fees, Sam’s total profit.

What is $906 ?

400

The length of the minimal spanning tree.

What is 35 ?

500

What is 10?

500

The length AB to the nearest metre.

What is 46m ?

500

Every day, a 1200-watt microwave oven is used for 45 minutes at 40% power. Electricity is charged at $0.25 per kWh.

The cost of running this microwave oven for 180 days. 

What is $16.20 ?

500

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.

Zina's account value two years after first opening it.

What is $4909.08 ?

500

The capacity of this cut, in megalitres of waste per week.

What is 26 ML/week?