Understanding Measurement
9.08 kg = _________ g
9080
The bearing of A from B is 137°.
Find the bearing of B from A.
317
The diameter of a circle is 46 mm.
Calculate the radius of the circle.
23 mm
Sahil and Anika share $78 in the ratio 5 : 8.
Calculate the amount Anika receives.
$ 48
Sara invests $500 for 15 years at a rate of 2% per year simple interest.
Calculate the total interest Sara receives.
$150
12 cm2 = ______ mm2
1200
The bearing of a boat from a harbour is 322°.
Work out the bearing of the harbour from the boat.
142
A circle has a radius of 18 cm.
Calculate the circumference of this circle.
113 cm
Divide $200 in the ratio 7 : 3
$140 : $60
Helga buys 8 balls of wool.
Each ball costs $3.10.
Helga pays with a $50 note.
Work out the amount of change she receives.
$ 25.20
1940 hours in a 12-hour system is ____
7:40 pm
Which trigonometric function will be used to calculate the opposite side over the hypotenuse?
Sine
A circular disc has a circumference of 250 cm.
Calculate the radius of the disc.
39.8 cm
Antonio buys tubs of ice cream for his shop in the ratio vanilla : chocolate = 11 : 7.
He buys 28 tubs of chocolate ice cream.
Work out how many tubs of vanilla ice cream he buys.
44
A shopkeeper pays $25 for one box of 96 candles. He sells all the candles for 35 cents each.
How much profit does he make?
$8.60
1 mile = 1.609344 kilometres
Change 6 miles into metres.
Give your answer correct to the nearest metre.
10 metres
Which trigonometric function will be used to calculate the opposite side over the adjacent side?
Tangent
The total perimeter of a semicircle is 19.02 cm.
Calculate the radius of the semicircle.
3.7 cm
A bag contains 132 sweets.
The sweets are shared between Beatrix and Volker in the ratio Beatrix : Volker = 5 : 7.
Work out the difference between the number of sweets they receive.
22
Sonia earns $8.12 for each hour she works.
She works for 35 hours each week.
Work out how much she earns each week.
$284.20
A water tank in the shape of a cuboid has a length of 1.5 metres and a width of 1 metre.
The water in the tank is 60 centimetres deep.
Calculate the number of litres of water in the tank.
900 litres
Which trigonometric function will be used to calculate the adjacent side over the hypotenuse?
Cosine
Carlotta buys a bicycle.
The diameter of each bicycle wheel is 46 cm.
Carlotta rides the bicycle a distance of 1.4 km.
Calculate the number of complete revolutions that a wheel makes during this journey.
968
A railway track, 36 km long, is to be built in a straight line.
15 people can build 60 metres of track per day.
Work out how many days it will take 45 people to build the whole track.
200 days
Friedrich borrows $1200 for 3 years at a rate of 5.6% per year compound interest.
Work out the total amount he pays back at the end of the 3 years.
$1413