Fractions of Quantities Worksheet

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GCSE MATHEMATICS
ASSIGNMENT SHEET 6
Fractions of Quantities
Fractions – Decimals - Percentages

NAME:

Date submitted:

Total

/38

Fractions of Quantities

1.

Find the following quantities showing your method of calculation:

a)

3
of 28m
4

b)

2
of £120
5

c)

1
of 17.5kg
2

d)

5
of 32 tonnes
8

e)

7
of £156.70
10

f)

2
of 24.06mm
3
6 marks

2. Jan works in a bakery. Each day she bakes three batches of scones using ¾kg of flour for each batch. On Monday morning there is 10kg of flour. On what day will the flour run out?

Sheet 6 Fractions of Quantities.doc

2 marks

3. How much would each of the garments cost if each were
reduced by a fifth?

€30

€80

i)

Jacket
€_______

€120
ii) Skirt
€_______
iii)

Shirt
€_______

4. Debbie bought 500g of sweets to share equally with her class. Out of the 25 students, 15 were female.
i) What weight of sweets
did the female students
share?
ii) If the men’s share
contained 3/10 red sweets,
what weight of red sweets
would each man get if
shared equally?

Sheet 6 Fractions of Quantities.doc

3 marks

One number as a fraction of another
5.

Express one number as a fraction of another giving the fraction in its simplest form:

a)

Out of 96 students in Year 13 at a college,
56 are female. What fraction of the total
number of students are female?

b)

The distance from Earth to the moon is
approximately 400 000km. After two days,
a space craft has covered a distance of
240 000km.
What fraction of the total distance has the
craft travelled?

c)

Of the thirty thousand, five hundred
people who live in Jacksville, three
thousand, five hundred didn’t vote in the
local election. Six thousand, seven hundred
and fifty voted for the Green Party. What
fraction of those that voted, favoured
other parties?

d)

The spectators at an Olympic Synchronised
Swimming Contest numbered 1024. Out of
these, 128 supported the US Team, 512 the
UK Team and the rest were neutral. What
fraction of the total number of spectators
were neutral?

8 marks

Fractions to Decimals
6.
a)

Covert the following fractions into decimals:
1
4

Sheet 6 Fractions of Quantities.doc

b)

2
5

c)

2
to 2d.p.
3

d)
3
8

e)

50
100

f)

7
10

g)

Express five sixths as a decimal correct to
3 significant figures.

7 marks

Decimals to Fractions
7.
a)

Convert the following decimal numbers into fractions in the simplest of form: 0.8

b
)

0.15

c)

0.375

d)

0.75

4 marks

Percentages to Decimals to Fractions
8.
a)

Convert the following percentages to decimals and then into a fractions in the simplest of form: 10%

Sheet 6 Fractions of Quantities.doc

b)

40%

c)

75%

d)

62½%

4 marks

Answers Sheet 6
(a)

(b)

(c)

(d)

(e)

(f)

1.

21m

£48

8.75kg

20t

£109.69

16.04mm

2.

Friday – 1kg
taken into Friday

3.

Jacket

0.5

0.7

€64

i) Jacket
ii) Skirt
iii) Shirt

(g)

€64
€96
€24

Skirt

€96

Shirt

€24

4.

300g

6g

5.

7/12

3/5

3/4

3/8

6.

0.25

0.4

0.67

0.375

7.

4/5

3/20

3/8

3/4

8.

0.1 1/10

0.4 2/5

0.75 3/4

0.625 5/8

Sheet 6 Fractions of Quantities.doc

0.833

(h)

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