A school received 48 new pens. Three quarters of the pens were given to Year 7. How many pens did Year 7 receive?
(Total for Question 6 is 2 marks)
7
A recipe needs 2/5 of 400 g of sugar. Work out how many grams of sugar are needed.
(Total for Question 7 is 2 marks)
8
A box contains 30 postcards. 7/15 of them are blank on the back. How many postcards are blank on the back?
(Total for Question 8 is 2 marks)
9
Priya ate 2/5 of a cake. The part she ate weighed 160 g. Work out the weight of the whole cake in grams.
(Total for Question 9 is 2 marks)
10
A camera now costs £216 after a reduction to 3/5 of its original price. Work out the original price of the camera.
(Total for Question 10 is 3 marks)
11
A 5-litre jug is used as follows. First 2/5 of the jug is poured away. Then 1/4 of the remaining liquid is poured away. Work out how many litres remain in the jug.
(Total for Question 11 is 3 marks)
12
Box A holds 3/4 of 48 toy cars. Box B holds 5/6 of 42 toy cars. Which box holds more cars? Work out how many more cars it holds.
(Total for Question 12 is 3 marks)
13
A charity collected £420. They gave 2/7 of the money to a food bank. From the remainder they gave 3/10 to a school. Work out how much of the original money is left after these two donations.
(Total for Question 13 is 4 marks)
14
A baker used 3/8 of his flour to make bread. He then used 5/12 of the remaining flour to make pastries. After both processes 140 kg of flour remained. Work out the original mass of flour the baker had.
(Total for Question 14 is 4 marks)
Mark scheme · 2.4D Fractions of an Amount: Fluency and Exam Drill
Question 1
B1 7 cao
Answer: 7 g? (units not specified) 7 or simply 7 (cao). Please accept 7 as the numerical answer; no units were required in the question.
Question 2
B1 21 cao
Answer: 21
Question 3
B1 10 cao
Answer: 10
Question 4
B1 £24 cao
Answer: £24
Question 5
B1 15 cao
Answer: 15
Question 6
M1 correct method for 3/4 of 48, e.g. 48 x 3/4 or (48/4) x 3
A1 36 cao
Answer: 36
Question 7
M1 method: 2/5 of 400, e.g. 400 x 2/5 or (400/5) x 2
A1 160 g cao
Answer: 160 g
Question 8
M1 method: 7/15 x 30 or (30/15) x 7
A1 14 cao
Answer: 14
Question 9
M1 method: divide 160 by 2/5 or multiply by 5/2
A1 400 g cao
Answer: 400 g
Question 10
M1 divide £216 by 3/5 or multiply by 5/3 to find original price
M1 calculate 216 x 5/3 or 216 / (3/5) correctly
A1 £360 cao
Answer: £360
Question 11
M1 calculate first amount removed: 2/5 of 5 = 2 litres or find remainder 3 litres
M1 calculate second removal: 1/4 of 3 = 0.75 litres
A1 2.25 litres cao
Answer: 2.25 litres
Question 12
M1 calculate 3/4 of 48 = 36 or equivalent method
M1 calculate 5/6 of 42 = 35 or equivalent method
A1 Box A has 1 more car cao
Answer: Box A, 1 more car
Question 13
M1 calculate 2/7 of 420 = 120 or equivalent method
M1 subtract to find remainder: 420 - 120 = 300
M1 calculate 3/10 of 300 = 90
A1 £210 cao
Answer: £210
Question 14
M1 find remainder after bread: 1 - 3/8 = 5/8 so remainder = 5/8 x
M1 find amount used for pastries: 5/12 of 5/8 x = 25/96 x and subtract to get final remainder 5/8 x - 25/96 x = 35/96 x