Fractions of an Amount - Worksheets, Questions and Revision

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2.4 Fractions of an Amount

EDEXCEL 1MA1 · Calculator allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Revision notes: Fractions of an Amount

Finding a fraction of an amount means working out what a given fraction, such as 3/5, of a quantity is worth. The method uses division to find the value of one part, then multiplication to find the value of the number of parts needed.

Divide the amount by the denominator of the fraction to find the value of one part (the unit fraction).
Multiply that value by the numerator to find the value of the required number of parts.
For a two-step problem (a fraction of a fraction, or a fraction of a remaining amount), work out each fraction operation in order, left to right.
Check the answer is sensible: a proper fraction of an amount should always be less than the whole amount.

Worked example. Work out 3/5 of 240 pounds. A shop has 60 bikes; 2/3 of them are sold. How many bikes are left?

3/5 of 240: divide 240 by 5 = 48 (one fifth), then multiply by 3: 48 x 3 = 144.
For the bikes: 2/3 of 60 are sold. Divide 60 by 3 = 20 (one third), then multiply by 2: 20 x 2 = 40 sold.
Bikes left = 60 - 40 = 20.

Answer: 3/5 of 240 pounds = 144 pounds; 20 bikes are left.

What is 1/2 of 18?

A) 7
B) 8
C) 9
D) 10

(Total for Question 1 is 1 mark)

Which of the following is equal to 3/4 of 24?

A) 6
B) 8
C) 18
D) 20

(Total for Question 2 is 1 mark)

Priya has 45 pounds. She puts 1/5 of her money into a savings account. Work out how much money Priya puts into her savings account.

(Total for Question 3 is 1 mark)

A bag of soil weighs 21 kg. Work out 1/3 of 21 kg.

(Total for Question 4 is 1 mark)

A double maths lesson lasts 60 minutes. Work out 1/4 of 60 minutes. Give your answer in minutes.

(Total for Question 5 is 1 mark)

Work out 2/3 of 27.

(Total for Question 6 is 2 marks)

Work out 3/4 of 52.

(Total for Question 7 is 2 marks)

The diagram shows a rectangle divided into 10 equal parts. 7 of the parts are shaded grey. The rectangle represents all of the 200 songs on Ben's playlist.

(a)Write down the fraction of the rectangle that is shaded, giving your answer in its simplest form.(1)

(b)Work out the number of songs on the playlist that are represented by the shaded part of the diagram.(2)

(Total for Question 8 is 3 marks)

A recipe for flapjacks uses 250 g of oats. Bella wants to make 2/5 of the recipe. Work out the mass of oats Bella needs.

(Total for Question 9 is 2 marks)

Show that 3/8 of 96 is equal to 36.

(Total for Question 10 is 2 marks)

Sam has 40 pounds. He spends 3/5 of his money on a jacket.

(a)Work out how much money Sam spends on the jacket.(2)

(b)Work out how much money Sam has left.(1)

(Total for Question 11 is 3 marks)

There are 320 pupils at Oakfield School. 5/8 of the pupils are girls.

(a)Work out the number of pupils who are girls.(2)

(b)Work out the number of pupils who are boys.(1)

(Total for Question 12 is 3 marks)

There are 30 students in Miss Okafor's class. 2/5 of the students study French.

(a)Work out the number of students who study French.(2)

(b)The rest of the students study Spanish. Write down the fraction of the class that studies Spanish, giving your answer in its simplest form.(2)

(Total for Question 13 is 4 marks)

A train journey is timetabled to take 1 hour. The train is delayed by 3/4 of an hour. Work out the total time for the journey. Give your answer in hours and minutes.

(Total for Question 14 is 3 marks)

Chloe is driving on a journey of 84 miles. She has driven 3/7 of the journey so far. Work out how many miles Chloe has left to drive.

(Total for Question 15 is 3 marks)

Ahmed says that 2/5 of 60 pounds is a greater amount of money than 3/8 of 40 pounds. Is Ahmed correct? You must show working to support your answer.

(Total for Question 16 is 3 marks)

In a sale, a shop reduces the price of a jacket by 1/4. The original price of the jacket was 68 pounds. Work out the sale price of the jacket.

(Total for Question 17 is 3 marks)

A prize fund of 900 pounds is shared between three winners of a raffle: Aaliyah, Ben and Chidi. Aaliyah receives 1/3 of the fund. Ben receives 2/5 of the fund. Work out how much money Chidi receives.

(Total for Question 18 is 4 marks)

A charity fun run raises 1250 pounds. 3/10 of the money is given to Fund A. 2/5 of the money is given to Fund B. The rest of the money is given to Fund C. Work out how much money is given to Fund C.

(Total for Question 19 is 4 marks)

Tyler wants to buy a pair of trainers priced at 45 pounds in both Shop A and Shop B. Shop A takes 1/5 off the price in a sale. Shop B takes 1/3 off the price in a sale. Work out which shop offers the cheaper price for the trainers, and by how much.

(Total for Question 20 is 4 marks)

Mark scheme · 2.4 Fractions of an Amount

Question 1

B1 C) 9
Answer: C) 9

Question 2

B1 C) 18
Answer: C) 18

Question 3

B1 9 (pounds) cao
Answer: 9 pounds

Question 4

B1 7 (kg) cao
Answer: 7 kg

Question 5

B1 15 (minutes) cao
Answer: 15 minutes

Question 6

M1 27 / 3 = 9 oe (dividing by the denominator)
A1 18 cao
Answer: 18

Question 7

M1 52 / 4 = 13 oe (dividing by the denominator)
A1 39 cao
Answer: 39

Question 8

(a) B1 7/10 oe
(a) Answer: 7/10
(b) M1 200 / 10 = 20 oe (dividing by the denominator)
(b) A1 140 cao
(b) Answer: 140

Question 9

M1 250 / 5 = 50 oe (dividing by the denominator)
A1 100 (g) cao
Answer: 100 g

Question 10

M1 96 / 8 = 12 oe (dividing by the denominator)
A1 cso, 12 x 3 = 36 shown, matching the given answer
Answer: 3/8 of 96 = 36 (shown)

Question 11

(a) M1 40 / 5 = 8 oe (dividing by the denominator)
(a) A1 24 (pounds) cao
(a) Answer: 24 pounds
(b) B1 16 (pounds) ft from part (a), cao
(b) Answer: 16 pounds

Question 12

(a) M1 320 / 8 = 40 oe (dividing by the denominator)
(a) A1 200 cao
(a) Answer: 200
(b) B1 120 ft from part (a), cao
(b) Answer: 120

Question 13

(a) M1 30 / 5 = 6 oe (dividing by the denominator)
(a) A1 12 cao
(a) Answer: 12
(b) M1 30 - 12 = 18 students study Spanish, ft from part (a), giving 18/30 oe
(b) A1 3/5 cao
(b) Answer: 3/5

Question 14

M1 60 / 4 = 15 oe (dividing by the denominator, to find 1/4 of 60 minutes)
A1 45 (minutes), the length of the delay, ft correct method
A1 1 hour 45 minutes oe (e.g. 105 minutes), cao
Answer: 1 hour 45 minutes

Question 15

M1 84 / 7 = 12 oe (dividing by the denominator)
M1 12 x 3 = 36 (dep on previous method), the distance already driven
A1 48 cao
Answer: 48 miles

Question 16

M1 60 / 5 = 12, 12 x 2 = 24 oe, working out 2/5 of 60 pounds
M1 40 / 8 = 5, 5 x 3 = 15 oe, working out 3/8 of 40 pounds
A1 cao, correct conclusion that Ahmed is correct, since 24 pounds is greater than 15 pounds
Answer: Ahmed is correct: 2/5 of 60 pounds = 24 pounds, which is greater than 3/8 of 40 pounds = 15 pounds.

Question 17

M1 68 / 4 = 17 oe, the amount of the reduction
M1 68 - 17 oe (dep), or equivalent method e.g. 3/4 x 68
A1 51 (pounds) cao
Answer: 51 pounds

Question 18

M1 900 / 3 = 300 oe, Aaliyah's share
M1 900 / 5 = 180, 180 x 2 = 360 oe, Ben's share
M1 300 + 360 = 660 (dep on both previous methods)
A1 240 (pounds) cao
Answer: 240 pounds

Question 19

M1 1250 / 10 = 125, 125 x 3 = 375 oe, the amount given to Fund A
M1 1250 / 5 = 250, 250 x 2 = 500 oe, the amount given to Fund B
M1 375 + 500 = 875 (dep on both previous methods)
A1 375 (pounds) cao
Answer: 375 pounds

Question 20

M1 45 / 5 = 9 oe, Shop A's reduction
M1 45 - 9 = 36 oe (dep), Shop A's sale price
M1 45 / 3 = 15, 45 - 15 = 30 oe, Shop B's sale price
A1 cao, Shop B is cheaper, by 6 pounds
Answer: Shop B is cheaper, by 6 pounds (Shop A = 36 pounds, Shop B = 30 pounds).

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Fractions of an Amount - Worksheets, Questions and Revision

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