Fractions of an Amount: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

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GCSE · Number

2.4DB Fractions of an Amount: Fluency and Exam Drill (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 40 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Work out 1/6 of 42.

(Total for Question 1 is 1 mark)

Work out 4/9 of 63.

(Total for Question 2 is 1 mark)

Work out 5/12 of 84 cm.

(Total for Question 3 is 1 mark)

Work out 7/20 of £140. Give your answer in pounds.

(Total for Question 4 is 1 mark)

Work out 11/15 of 105.

(Total for Question 5 is 1 mark)

A gardener planted 72 bulbs in her allotment. Five ninths of the bulbs were tulips. Work out how many tulips she planted.

(Total for Question 6 is 2 marks)

Show that 3/11 of 121 is 33.

(Total for Question 7 is 2 marks)

Ibrahim was asked to work out 5/6 of 84. His working is shown below:

84 / 6 = 14

Ibrahim gave 14 as his final answer for 5/6 of 84. Ibrahim's answer is wrong.

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

(b)Work out the correct value of 5/6 of 84.(2)

(Total for Question 8 is 3 marks)

The table shows the number of apples picked at three orchards and the fraction of each orchard's apples that were sold at a farmers' market.

Orchard	Apples picked	Fraction sold at market
Ashcroft Farm	96	3/8
Bramble Hill	105	2/5
Cedar Grove	90	7/9

Work out which orchard sold the most apples at the market. You must show your working to support your answer.

(Total for Question 9 is 4 marks)

A charity shop sold 2/5 of the books that had been donated to it. This left 138 books unsold. Work out how many books had been donated to the shop in total.

(Total for Question 10 is 3 marks)

A tin contains 40 litres of paint. Aisha uses 3/8 of the paint to paint a fence. Of the paint she uses on the fence, 2/5 is white paint and the rest is blue paint. Work out how many litres of blue paint Aisha uses on the fence.

(Total for Question 11 is 3 marks)

A tailor has two rolls of fabric. Roll A is 90 m long and 5/6 of it has been used. Roll B is 84 m long and 7/12 of it has been used. Work out which roll has more fabric remaining, and by how many metres.

(Total for Question 12 is 3 marks)

A bakery makes 240 items one morning. Three fifths of the items are loaves of bread and the rest are pastries. The bakery sells 5/6 of the loaves of bread and 2/3 of the pastries. Work out the total number of items sold that morning.

(Total for Question 13 is 4 marks)

A lorry's fuel tank was full at the start of a journey. On the first day, 2/5 of the fuel was used. On the second day, 3/8 of the remaining fuel was used. After both days, 45 litres of fuel were left in the tank. Work out how many litres of fuel the tank held when it was full.

(Total for Question 14 is 4 marks)

Mark scheme · 2.4DB Fractions of an Amount: Fluency and Exam Drill (Part 2)

Question 1

B1 7 cao
Answer: 7

Question 2

B1 28 cao
Answer: 28

Question 3

B1 35 cm cao
Answer: 35 cm

Question 4

B1 £49 cao
Answer: £49

Question 5

B1 77 cao
Answer: 77

Question 6

M1 72 / 9 = 8 oe (dividing by the denominator)
A1 40 cao
Answer: 40

Question 7

M1 121 / 11 = 11 oe (dividing by the denominator)
A1 cso, 11 x 3 = 33 shown, matching the given answer
Answer: 3/11 of 121 = 33 (shown)

Question 8

(a) B1 Ibrahim found one sixth of 84 (14) but did not multiply by the numerator, 5, to find five sixths oe
(a) Answer: Ibrahim found one sixth of 84 but did not multiply by the numerator, 5, to find five sixths of 84.
(b) M1 14 x 5 oe (dep, multiplying one sixth of 84 by the numerator)
(b) A1 70 cao
(b) Answer: 70

Question 9

M1 96 / 8 = 12, 12 x 3 = 36 oe (Ashcroft Farm's apples sold)
M1 105 / 5 = 21, 21 x 2 = 42 oe (Bramble Hill's apples sold)
M1 90 / 9 = 10, 10 x 7 = 70 oe (Cedar Grove's apples sold)
A1 cao, Cedar Grove sold the most, since 70 is greater than 42 and 36
Answer: Cedar Grove sold the most, 70 apples (Ashcroft Farm = 36, Bramble Hill = 42, Cedar Grove = 70).

Question 10

M1 1 - 2/5 = 3/5 oe (the fraction of books left unsold)
M1 138 / 3 = 46 oe (dep, dividing by the numerator of 3/5 to find one fifth of the total)
A1 230 cao
Answer: 230

Question 11

M1 40 x 3/8 = 15 oe (litres of paint used on the fence)
M1 1 - 2/5 = 3/5 oe (dep, fraction of the fence paint that is blue)
A1 9 (litres) cao
Answer: 9 litres

Question 12

M1 90 / 6 = 15 oe (metres remaining on Roll A, since 1/6 of Roll A remains)
M1 84 / 12 = 7, 7 x 5 = 35 oe (metres remaining on Roll B, since 5/12 of Roll B remains)
A1 cao, Roll B has more remaining, by 20 m
Answer: Roll B has more fabric remaining, by 20 m (Roll A = 15 m remaining, Roll B = 35 m remaining).

Question 13

M1 240 x 3/5 = 144 oe (loaves of bread made)
M1 240 - 144 = 96 oe (dep, pastries made), or 240 x 2/5 = 96 oe
M1 144 x 5/6 = 120 oe AND 96 x 2/3 = 64 oe (dep, loaves of bread sold and pastries sold)
A1 184 cao
Answer: 184

Question 14

M1 1 - 2/5 = 3/5 oe (the fraction of the full tank remaining after day 1)
M1 1 - 3/8 = 5/8 oe (the fraction of day 1's remainder still left after day 2)
M1 3/5 x 5/8 = 3/8 oe (dep on both previous methods, the fraction of the full tank remaining after day 2), or equivalent numeric route e.g. 45 / (3/8)
A1 120 (litres) cao
Answer: 120 litres

Question 1

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Question 2

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Question 3

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Question 4

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Question 5

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Question 6

2 marks

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Question 7

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Question 8

3 marks

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Question 9

4 marks

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Question 10

3 marks

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Question 11

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Question 12

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Question 13

4 marks

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Question 14

4 marks

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Fractions of an Amount: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

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