Ratio And Proportion Worksheet Page 3
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11
The diagram shows two cuboids.
Exam-style question
A farm shop has 30 hundredweight of
potatoes.
4.5 cm
3 cm
B
A
They need to be put into 5 kg bags to be
4.5 cm
3 cm
sold.
4 cm
6 cm
The farm shop manager knows that
Write these ratios in their simplest form.
• 1 hundredweight = 112 pounds
a
Height of A to height of B.
• 1 pound ≈ 0.454 kilogram
b
Area of the shaded face of A to area of the
How many bags of potatoes will the farm
shaded face of B.
(4 marks)
shop have for sale?
c
Volume of A to volume of B.
12
A pencil case contains 4 pens and 9 pencils.
7
On the day that David buys some euros for
a
What is the ratio of pens : pencils?
his holiday, £1 buys €1.27.
b
What fraction of the contents of the pencil
How many euros does he get for £400?
case are pens?
8
Choose an amount in £ from the cloud.
c
What fraction of the contents of the pencil
Choose an exchange rate from the table.
case are pencils?
3
13
£425
In a multipack of crisps,
of the packets
£300
5
2
of crisps are salt and vinegar and
of the
5
£280
£550
packets are cheese and onion.
a
What is the ratio of
salt and vinegar : cheese and onion?
Currency
£1
b
There are 6 packets of cheese and onion in
Euros
1.27
the multipack. How many packets of salt
Turkish lira
3.56
and vinegar are there?
c
How many packets of crisps are in the
Croatian kuna
9.71
multipack altogether?
Albanian lek
176.22
3
14
R
In a school drama group,
of the group are
4
Tunisian dinar
2.90
girls and the rest are boys.
a
What is the ratio of boys : girls in
Moroccan dirham
14.06
the group?
Work out how much money you will get.
b
Rashid thinks there are 27 students in the
Repeat for two more amounts and currencies.
group. Explain why he must be wrong.
9
P
Use the table in Q8.
11.4
Using ratios 2
a
How many £ does Vicky get for
500 Turkish lira?
b
Which is worth more, 500 Moroccan dirham
1
Share these amounts in the ratios given.
or 3800 Croatian kuna?
a
24 kg in the ratio 3 : 1
Example
10
P
The diagram shows three right-angled
b
72 m in the ratio 1 : 5
triangles.
c
£32 in the ratio 5 : 3
d
£250 in the ratio 3 : 7
16 cm
24 cm
4 cm
A
B
C
e
42 litres in the ratio 5 : 2
6 cm
24 cm
36 cm
f
12.5 km in the ratio 3 : 2
2
Solder used for joining metal pipes is made
Write these ratios in their simplest form.
from a mixture of tin and lead in the ratio 3 : 2.
a
The base of triangle A to triangle C.
Paul has 425 g of solder.
b
The height of triangle A to triangle C.
What is the mass of
c
The area of triangle A to triangle C.
a
tin
b
lead?
87
11.4 Using ratios 2
R = Reasoning P = Problem-solving
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