Question
The rectangle ABCD shows Mr Liu’s garden.
(a) Mr Liu puts a fence around three sides of his garden, AB, BC and CD.
The fence costs $3.28 per metre.
Calculate the cost of the fence.
(b) (i) Calculate the area of Mr Liu’s garden.
(ii) Mr Liu uses an area of 408\(m^2\) in his garden for a lawn, flowers and vegetables.
He divides this area into three parts, in the ratio
lawn:fl owers:vegetables = 5:3:4.
Calculate the area used for each part.
(c) Mr Liu walks in a straight line across his garden from A to C.
Calculate the distance Mr Liu walks.
(ii) The pond is fi lled with water to a depth of 2 metres.
Calculate the volume of water in the pond.
Answer/Explanation
Answer:
(a) 252.56
(b) (i) 510
(ii) 170
102
136
(c) 34.5
(d) (i) 63.6 or 63.61 – 63.63
(ii) 127 or 127.2…
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) 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