A cake recipe uses 1 1/2 cups of sugar. You make 2/3 of the recipe. Work out how much sugar you need.
(Total for Question 3 is 2 marks)
4
A wooden board is 2.4 m long. You need 5/8 of its length for a shelf. Calculate the length of the shelf.
(Total for Question 4 is 2 marks)
5
A pizza is cut into 8 equal slices. Sophie eats 3/4 of the pizza. How many slices does she eat?
A) 5
B) 4
C) 6
D) 7
E) 3
(Total for Question 5 is 1 mark)
6
Emma paints 2/5 of a fence. She then paints 3/7 of the remaining unpainted part.
(a)What fraction of the whole fence does she paint in the second stage?(1)
(b)What fraction of the fence is now painted in total?(1)
(Total for Question 6 is 2 marks)
7
A bag contains 2 1/2 kg of flour. A baker uses 3/4 of the bag for a batch. How much flour does the baker use?
(Total for Question 7 is 2 marks)
8
What is 4/9 of 63?
A) 27
B) 28
C) 24
D) 36
E) 32
(Total for Question 8 is 1 mark)
9
A ribbon 3 m long is cut into pieces each 2/3 m long.
(a)How many full pieces of length 2/3 m can be cut from the ribbon?(1)
(b)How much ribbon is left over?(1)
(Total for Question 9 is 2 marks)
10
A jar contains 7/8 litre of juice. Tom drinks 3/5 of the juice. He then pours the remaining juice equally into 4 glasses. Work out the volume in each glass.
(Total for Question 10 is 3 marks)
11
A tall jug contains 1 3/4 litres of squash. You pour 2/3 of the jug into a bowl. How much squash, in litres, is in the bowl?
(Total for Question 11 is 2 marks)
12
A gardener has 3 1/2 kg of compost. He uses 2/5 of it on one bed and then shares the remainder equally between 3 pots. Work out how much compost each pot receives.
(Total for Question 12 is 3 marks)
13
A crate contains 4 1/2 litres of syrup. The syrup is bottled into small bottles of 3/10 litre. How many full bottles can be filled?
(Total for Question 13 is 2 marks)
14
A chef mixes 3/5 of a 2 1/2 kg bag of flour with 1/3 of a 1 3/4 kg bag of flour to make a blend. Work out the total mass of the blend. Give your answer as an improper fraction and as a mixed number.
(Total for Question 14 is 4 marks)
15
A baker has 2 3/4 kg of dough. He uses 5/6 of it to make loaves. He then divides the remaining dough equally into 3 rolls. Work out the mass of dough in each roll, in kilograms.
(Total for Question 15 is 3 marks)
16
A paint can contains 6 litres. 2/3 of the paint is used on the walls. Then 3/5 of the remaining paint is used on the doors. The rest is poured into small tins each holding 1/8 litre. How many full tins are filled and how much paint is left over (give the leftover as a fraction of a litre)?
(Total for Question 16 is 5 marks)
Mark scheme · EP.M97 Multiplying and Dividing Fractions in Context
Question 1
B1 6 cao
Answer: 6
Question 2
B1 correct option B (3/10) cao
Answer: B) 3/10 (3/4 x 2/5 = 6/20 = 3/10).
Question 3
M1 3/2 x 2/3 or 1 1/2 x 2/3 seen (method)
A1 1 cup cao
Answer: 1 cup
Question 4
M1 2.4 x 5/8 or equivalent method seen
A1 1.5 m cao
Answer: 1.5 m
Question 5
B1 correct option C (6 slices) cao
Answer: C) 6 slices
Question 6
(a) B1 9/35 cao
(a) Answer: 9/35
(b) B1 23/35 cao
(b) Answer: 23/35
Question 7
M1 5/2 x 3/4 or equivalent method seen
A1 1 7/8 kg cao
Answer: 1 7/8 kg
Question 8
B1 correct option B (28) cao
Answer: B) 28
Question 9
(a) B1 4 cao
(a) Answer: 4 pieces
(b) B1 1/3 m cao
(b) Answer: 1/3 m
Question 10
M1 Find remaining fraction 1 - 3/5 = 2/5 and apply to 7/8 (method)
M1 Division of remaining amount by 4 seen (or multiply by 1/4)
A1 7/80 litre cao
Answer: 7/80 litre (each)
Question 11
M1 7/4 x 2/3 or 1 3/4 x 2/3 seen (method)
A1 1 1/6 litres cao
Answer: 1 1/6 litres
Question 12
M1 Find amount used: 7/2 x 2/5 or equivalent (method)
M1 Find remainder: 7/2 - 7/5 or equivalent ft
A1 7/10 kg cao
Answer: 7/10 kg
Question 13
M1 9/2 รท 3/10 or equivalent division method seen
A1 15 cao
Answer: 15 bottles
Question 14
M1 3/5 of 5/2 seen = 3/5 x 5/2 (= 3/2) (method)
M1 1/3 of 7/4 seen = 1/3 x 7/4 (= 7/12) (method)
A1 25/12 as an improper fraction cao
A1 2 1/12 as mixed number cao
Answer: 25/12 (improper), 2 1/12 (mixed number)
Question 15
M1 Find amount used: 11/4 x 5/6 or equivalent (method)
M1 Find remainder: 11/4 - 55/24 = 11/24 seen (method)
A1 11/72 kg cao
Answer: 11/72 kg
Question 16
M1 Find paint used on walls: 6 x 2/3 = 4 L seen
M1 Find paint used on doors: remainder 2 L then 3/5 of 2 = 6/5 (= 1.2 L) seen
M1 Find remaining paint after doors: 2 - 6/5 = 4/5 L seen
M1 Divide remaining by 1/8 (or multiply by 8) to find number of tins seen