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4.1 Solving problems involving measurements

) Exercise 4.1 For each question in this exercise, show all your workings and check your answers.

1 A pink gold bracelet weighs 60 g. It is made from 76% gold, 18% copper and 6% aluminium.
a What is the mass of the gold in the bracelet?
b What is the mass of the copper in the bracelet?
2 A bottle of medicine holds 0.25 litres.
The instructions on the bottle of medicine say: ‘Take two 5 ml spoonfuls three times a day.’
How many days will a full bottle of medicine last?
3 Some instructions for the time it takes to roast a turkey are: ‘allow 20 minutes for every 450 g’.
How long will it take to roast a turkey that weighs 6.3 kg?
Give your answer in hours and minutes.
4 This chart shows the distances, in miles, between some towns in England.

Birmingham
137 Hull For example, this box shows that the distance
93 60 Leeds between Hull and Newcastle is 148 miles.
93 95 44 Manchester
208 148 98 147 Newcastle
132 41 25 70 90 York

Steve drives a delivery van. On Thursday he drives from Manchester to Leeds, then Leeds
to York, then York to Hull, then Hull back to Manchester.
Work out the total distance, in kilometres, that he drives on Thursday.
5 Paolo is building a brick wall. 7.5 cm
So far, the wall has five layers of bricks.

Each brick is 7.5 cm high.
The layers of mortar between the bricks are 15 mm thick. 15 mm
a Work out the total height of the wall, in centimetres.
b How many more layers of bricks does Paolo need, for
the wall to reach a total height of 0.7 m?

6 Ismail orders some logs for his open fire.
The mass of one log is 2 kg. There are 5 logs in each bag. Logs
Ismail orders 150 bags. Usual price $3.40 per bag.
a What is the total mass of the logs Ismail orders? Order more than 1.2 tonnes and
Give your answer in tonnes. get 15% off!
b What is the total amount that Ismail pays for the logs?

7 Henri plans to sell cups of coffee at his school sports event.
Henri has a hot water container that holds 16 litres.
He needs about 200 ml of hot water for each cup of coffee.
a How many cups of coffee can he make from a full bottle of water?
Henri will charge 80 cents per cup of coffee. He hopes to sell 250 cups of coffee.
b How many full containers of water will he use?
c How much money will he make?

4 Length, mass, capacity and time 35