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End-of-unit review

End-of-unit review

1 Sanjay mixes two shades of green paint in the following ratios of green : white.
a Write each ratio in the form 1 : n.
b Which shade of green paint is darker? Sea green 5 : 7 Fern green 8 : 11

2 In ‘The Havens’ gymnastic club there are 12 boys and 18 girls.
a Write the ratio of boys : girls in the form 1 : n.
In ‘The Dales’ gymnastic club there are 8 boys and 14 girls.
b Write the ratio of boys : girls in the form 1 : n.
c Which gymnastic club has the higher proportion of girls?

3 When Maria makes a flan she uses milk and cream in the ratio 3 : 2.
Maria used 240 ml of milk for the flan she made yesterday.

How much cream did she use?
4 Green gold is made from gold and silver in the ratio 3 : 1.
A green gold bracelet has mass 56 g.
a What is the mass of the gold in the necklace?
b Show how to check your answer to part a.

5 Are these quantities in direct proportion? Explain your answers.
a the total cost of packets of biscuits and the number of packets bought
b the number of girls in an athletics club and the number of boys in an athletics club
c the number of litres of fuel bought and the total cost of the fuel
d the amount of TV a person watches in a day and the length of time they brush their teeth
6 Eight jars of jam cost $22.
a How much do 16 jars of jam cost?
b How much do 5 jars of jam cost?
7 A shop sells jars of coffee in two sizes.
A 200 g jar costs $6.56.
a Work out the cost of 100 g of this coffee.
A 300 g jar costs $9.48. 200 g 300 g
$9.48
$6.56
b Work out the cost of 100 g of this coffee.
c Which jar is better value for money?
8 a Jean-Paul travelled from the UK to France when the exchange rate was £1 = €1.16.
He changed £450 into euros (€).
How many euros did he get?
Show your working and check your answer.
b When he travelled back to the UK from France the exchange rate
was €1 = £0.84.
He changed €65 into British pounds (£).
How many pounds did he get? Give your answer to the nearest pound.
Show your working and check your answer.

9 Lewis travelled to America when the exchange rate was £1 = $1.58.
Lewis saw a laptop in a shop for $695.
The same laptop cost £479 in London.
Where should Lewis buy the laptop? Show your working and check your answer.
140 14 Ratio and proportion