Question
Ben and Ruth own a company.
(a) The company’s profi ts of $43680 are shared in the ratio Ben:Ruth = 2:5 .
Calculate Ruth’s share of the profi ts.
(b) Ruth invests $15000 at a rate of 4% per year simple interest.
Calculate how much her investment is worth at the end of 3 years.
(c) The company employs 450 people.
14% of these people work in sales.
Calculate the number of people who work in sales.
(d) Every year Ben travels 32000km on business.
(i)
Calculate the cost of hiring a car from Car-rent to travel 32000km.
(ii) 
Calculate the cost of hiring a car from Drive-easy to travel 32000 km.
Answer/Explanation
Answer:
(a) 31 200
(b) 16 800
(c) 63
(d) (i) 11 800
(ii) 12 900
Question
(a) On a map, the height of Hillibar Station is 1047m and the height of Sular Junction is 297m.
(i) Calculate the difference in these heights.
(ii) The temperature falls by 1°C for every 100m increase in height.
One day the temperature in Sular Junction is 19°C.
Work out the temperature at Hillibar Station.
(iii) Write 297 correct to the nearest ten.
(iv) Write 1047 correct to the nearest hundred.
(b) (i) Kim arrives at Hillibar Station at 1235.
The taxi to her hotel takes 27 minutes.
Work out the time Kim arrives at her hotel.
(ii) Henry takes 17 minutes to walk from his home to Sular Junction.
He must arrive there by 10 43.
Work out the latest time he can leave home.
(c) Here is part of a train timetable.
Each journey from Sular Junction to Hillibar Station takes the same time.
(i) Complete the timetable.
(ii) The distance between Sular Junction and Hillibar Station is 64km.
Calculate the average speed, in kilometres per hour, of a train between these two stations.
(iii) Joel arrives at Sular Junction at 1148.
At what time is the next train to Hillibar Station due to depart?
Answer/Explanation
Answer:
(a) (i) 750
(ii) 11, 11.5 or 12
(iii) 300
(iv) 1000
(b) (i) 13 02
(ii) 10 26
(c) (i) 16 24
(ii) 40 cao
(iii) 12 32
Question
(a) This graph shows Gianna’s journey to work.
(i) How far did Gianna travel to work?
…………………………………… km
(ii) Explain what happened at 0710.
(iii) Calculate the average speed for Gianna’s journey to work.
………………………………… km/h
(b) Gianna earns $1320 each month.
She divides her money in the ratio Bills : Leisure : Other = 12 : 5 : 7.
Work out how much she spends on each.
Bills = $ …………………………………………
Leisure = $ …………………………………………
Other = $ …………………………………………
(c) Gianna invests $5000 for 3 years at a rate of 2.1% per year compound interest.
Calculate the amount she will have at the end of the 3 years.
Give your answer correct to 2 decimal places.
$ …………………………………………
Answer/Explanation
Answer:
(a) (i) 17.5
(ii) She stopped oe
(iii) 8.75
(b) 660
275
385
(c) 5321.66 cao
Question
Paul and Mary go on a 14 night cruise in the Mediterranean.
(a) The price of the cruise is $237 per person per night.
A tax of 6% is added to this price.
Find the total amount Paul and Mary pay for this cruise.
$ …………………….
(b) At a port Mary buys 2 bottles of sun cream.
Each bottle costs $7.89 .
Work out the change she receives from $20.
$…………………………………………..
(c) Paul and Mary leave the ship at 0923 to tour Pisa.
The tour lasts for \(6 \frac{3}{4}\) hours.
Find the time when the tour finishes.
(d) The ship leaves at 1840 to sail to the next port.
It sails 270 km at an average speed of 32.4km/h.
Find the time when the ship arrives.
(e) There are 1800 passengers on the ship.
They are in the ratio males : females = 5 : 4.
Work out the number of male passengers.
Answer/Explanation
Answer:
(a) 7034.16
(b) 4.22
(c) 1608 or 4 08 pm
(d) 03 00 or 3 am
(e) 1000