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)