Area, perimeter & volume, use, convert & calculate questions:


question 1:
the arena’s car park is shown below.
( see diagram)
area of a circle = πr2
π = 3.14

what is the area of the car park, not including the arena itself in m2?



question 2:

the arena management want to put a perimeter fence around the car park.

( see diagram) ( same as before)
how many metres of fencing would be needed, not including the arena and a 5 metre space for a gate?


question 3:

around the car park, cylindrical concrete bollards are going to be placed.

volume of a cylinder:

v = area of the base x height
v = πr2h
π = 3.14

( see diagram)

find out how much concrete each one will need by working out its volume in cm3 from the diagram.


question 4:
you are working as an office apprentice for the bksb newcastle arena.

the current exchange rate for us dollars ($) to british pounds (£) is this:

$1.54 : £1

the american folk band, patriots & banjos, only accepts payment for concerts in us dollars. the agreed fee was £12,000.

how many dollars will the arena have to pay them?


question 5:
to prepare the arena for a concert takes 62 3/4 hours of work.
how many minutes is this?

the arena set-up team’s work schedule is shown in the table below. convert the minutes worked into hours.
staff member minutes worked hours worked?
mike chewer 870 ?
jennifer glass 225 ?
fred carlton 75 ?
amy amaretto 720 ?


question 6
the exchange rate is £1 = $1.76. if he earns £135, how many australian dollars will he get?

the arena’s stage is 8 metres long. the left hand and right hand sides of the stage will be taken up by large speakers with a 130 cm base each.
how many metres of the stage will be left free for the band?

question 7:

the band has a banner at the back of the stage. it is 631 centimetre long.
approximately how many metres is this?
(answer to 1 decimal point)

for health and safety reasons, the temperature of the arena must be strictly controlled.
if the temperature is 36 ºc what is it in ºf

use this formula to you:

f = c x 9/5+ 32 = ?



question 8:

you are move equipment. it is company policy at the arena that, without assistance, no one should lift more than 30 kg.

one item weighs 0.76 kg, and there are 40 items in one box.

do you think are you allowed to lift the box up on your own?
yes or no?

question 9:

look at the conversion table below.
kg lbs
1 2.2
2 4.4
3 6.6
4 8.8
5 11.0
6 13.2
7 15.4
8 17.6
9 19.8

you are asked to lift something that is 15 kg. how many pounds is it?
you pick up something that weighs 48.4 lbs. how many kilograms is this?

question 10:
to get to the arena from the airport, the band has to travel 59 kilometres. if they travel 40 kilometres per hour, how long does it take them to arrive at the airport?

select the correct answer.

1 hr 47 mins
1.475 mins
88 mins
68 mins

so much for your in advance