Fractions of an Amount (Part 2) - Worksheets, Questions and Revision

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2.4B Fractions of an Amount (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

What is 1/6 of 42?

A) 6
B) 7
C) 8
D) 9

(Total for Question 1 is 1 mark)

Which of the following is equal to 5/8 of 32?

A) 12
B) 16
C) 20
D) 24

(Total for Question 2 is 1 mark)

Isla receives 63 pounds of birthday money. She saves 1/9 of it. Work out how much money Isla saves.

(Total for Question 3 is 1 mark)

A box contains 35 chocolates. 1/5 of the chocolates are dark chocolate. Work out how many chocolates are dark chocolate.

(Total for Question 4 is 1 mark)

A cycle path is 45 km long. Work out 1/9 of 45 km.

(Total for Question 5 is 1 mark)

Work out 5/6 of 54.

(Total for Question 6 is 2 marks)

Work out 2/7 of 63.

(Total for Question 7 is 2 marks)

A charity book sale raises 180 pounds. Ravi's class donates 3/10 of this amount to the local library. Work out how much money is donated to the library.

(Total for Question 8 is 2 marks)

Show that 5/9 of 108 is equal to 60.

(Total for Question 9 is 2 marks)

A minibus can carry 45 passengers. On a school trip, 4/9 of the seats are taken by Year 8 pupils. Work out the number of Year 8 pupils on the minibus.

(Total for Question 10 is 2 marks)

The diagram shows a strip of 12 equal parts. 8 of the parts are shaded grey. The strip represents all of the 156 cupcakes made for a school bake sale.

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

(b)Work out the number of cupcakes represented by the shaded part of the diagram.(2)

(Total for Question 11 is 3 marks)

Zainab was asked to work out 3/8 of 96. Her working is shown below:

96 / 3 = 32
32 x 8 = 256

Zainab's answer of 256 is wrong.

(a)State the mistake that Zainab has made.(1)

(b)Work out the correct value of 3/8 of 96.(2)

(Total for Question 12 is 3 marks)

Harry spends 3/7 of his monthly pocket money on a video game. He spends 45 pounds.

(a)Work out Harry's total monthly pocket money.(2)

(b)Work out how much money Harry has left after buying the video game.(1)

(Total for Question 13 is 3 marks)

Megan has 18 pounds and Noah has 30 pounds. They put their money together and donate 2/3 of the total to a charity box. Work out how much money is donated to the charity box.

(Total for Question 14 is 3 marks)

In Year 10, 3/8 of the students play football and 2/5 of the students play netball. There are 120 students in Year 10. Work out how many more students play netball than play football.

(Total for Question 15 is 3 marks)

A spring stretches to 7/4 of its original length when a weight is attached. The original length of the spring was 32 cm.

(a)Work out the stretched length of the spring.(2)

(b)Work out the increase in the length of the spring.(1)

(Total for Question 16 is 3 marks)

The table shows the weekly pocket money for three children and the fraction of it that each child saves each week.

Child	Weekly pocket money	Fraction saved
Leah	16 pounds	1/4
Dev	15 pounds	2/5
Sofia	24 pounds	5/8

Work out which child saves the greatest amount of money each week. You must show your working to support your answer.

(Total for Question 17 is 4 marks)

Callum spent 2/5 of his savings on a bicycle and had 54 pounds left.

(a)Work out Callum's original savings.(3)

(b)Work out how much Callum spent on the bicycle.(1)

(Total for Question 18 is 4 marks)

A tank is full of water. 1/3 of the water is used on Monday. Of the water remaining after Monday, 1/4 is used on Tuesday. After Tuesday, 40 litres of water remain in the tank. Work out how many litres of water the tank contained when it was full.

(Total for Question 19 is 4 marks)

A school trip costs 256 pounds per student at full price. Students who book early pay only 5/8 of the full cost. Zainab books early. Her parents pay 3/4 of Zainab's early-booking cost, and Zainab pays the rest from her own savings. Work out how much Zainab pays from her own savings.

(Total for Question 20 is 4 marks)

Mark scheme · 2.4B Fractions of an Amount (Part 2)

Question 1

B1 B) 7
Answer: B) 7

Question 2

B1 C) 20
Answer: C) 20

Question 3

B1 7 (pounds) cao
Answer: 7 pounds

Question 4

B1 7 (chocolates) cao
Answer: 7 chocolates

Question 5

B1 5 (km) cao
Answer: 5 km

Question 6

M1 54 / 6 = 9 oe (dividing by the denominator)
A1 45 cao
Answer: 45

Question 7

M1 63 / 7 = 9 oe (dividing by the denominator)
A1 18 cao
Answer: 18

Question 8

M1 180 / 10 = 18 oe (dividing by the denominator)
A1 54 (pounds) cao
Answer: 54 pounds

Question 9

M1 108 / 9 = 12 oe (dividing by the denominator)
A1 cso, 12 x 5 = 60 shown, matching the given answer
Answer: 5/9 of 108 = 60 (shown)

Question 10

M1 45 / 9 = 5 oe (dividing by the denominator)
A1 20 cao
Answer: 20

Question 11

(a) B1 2/3 oe
(a) Answer: 2/3
(b) M1 156 / 12 = 13 oe (dividing by the denominator)
(b) A1 104 cao
(b) Answer: 104

Question 12

(a) B1 Zainab divided by the numerator (3) instead of the denominator (8), and then multiplied by the denominator (8) instead of the numerator (3) oe
(a) Answer: Zainab divided by the numerator instead of the denominator (and multiplied by the denominator instead of the numerator).
(b) M1 96 / 8 = 12 oe (dividing by the denominator)
(b) A1 36 cao
(b) Answer: 36

Question 13

(a) M1 45 / 3 = 15 oe (finding one-seventh of his pocket money)
(a) A1 105 (pounds) cao
(a) Answer: 105 pounds
(b) B1 60 (pounds) ft from part (a), cao
(b) Answer: 60 pounds

Question 14

M1 18 + 30 = 48 oe (the total amount of money)
M1 48 / 3 = 16 oe (dep, dividing by the denominator)
A1 32 (pounds) cao
Answer: 32 pounds

Question 15

M1 120 / 8 = 15, 15 x 3 = 45 oe (the number who play football)
M1 120 / 5 = 24, 24 x 2 = 48 oe (the number who play netball)
A1 3 cao
Answer: 3

Question 16

(a) M1 32 / 4 = 8 oe (dividing by the denominator)
(a) A1 56 (cm) cao
(a) Answer: 56 cm
(b) B1 24 (cm) ft from part (a), cao
(b) Answer: 24 cm

Question 17

M1 16 / 4 = 4 oe (Leah's savings)
M1 15 / 5 = 3, 3 x 2 = 6 oe (Dev's savings)
M1 24 / 8 = 3, 3 x 5 = 15 oe (Sofia's savings)
A1 cao, Sofia saves the most, since 15 pounds is greater than 6 pounds and 4 pounds
Answer: Sofia saves the most, 15 pounds per week (Leah = 4 pounds, Dev = 6 pounds, Sofia = 15 pounds).

Question 18

(a) M1 1 - 2/5 = 3/5 oe (the fraction of his savings remaining)
(a) M1 54 / 3 = 18 oe (dep, dividing by the denominator, to find one-fifth of his savings)
(a) A1 90 (pounds) cao
(a) Answer: 90 pounds
(b) B1 36 (pounds) ft from part (a), cao
(b) Answer: 36 pounds

Question 19

M1 1 - 1/3 = 2/3 oe (the fraction of the tank remaining after Monday)
M1 1 - 1/4 = 3/4 oe (the fraction of Monday's remainder left after Tuesday)
M1 2/3 x 3/4 = 1/2 oe (dep on both previous methods, the fraction of the full tank left after Tuesday), or equivalent e.g. 40 x 2
A1 80 (litres) cao
Answer: 80 litres

Question 20

M1 256 / 8 = 32, 32 x 5 = 160 oe (Zainab's early-booking cost)
M1 160 / 4 = 40, 40 x 3 = 120 oe (dep, the amount Zainab's parents pay)
M1 160 - 120 = 40 oe (dep on both previous methods)
A1 40 (pounds) cao
Answer: 40 pounds

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Fractions of an Amount (Part 2) - Worksheets, Questions and Revision

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