Work out 4 1/3 - 2 2/3. Show any subtraction of the fractional parts.
(2)
3
Add 7/12 and 1/4. Give your answer in simplest form.
(2)
4
Write 12/18 in its simplest form.
(1)
5
Calculate 5 x 3/10.
(1)
6
Work out 2/3 x 3/5. Give your answer in simplest form.
(2)
7
Divide 3/4 by 3. Show your method.
(2)
8
Work out 2/5 ÷ 4/15. Give your answer in simplest form.
(2)
9
A cake recipe needs 3/4 of a cup of sugar and 2/3 of a cup of flour. How many cups of these two ingredients are needed in total? Give your answer in fractions and simplest form.
(3)
10
Subtract 5/6 from 2. Give your answer as a mixed number if needed.
(2)
11
Find the missing numerator: ?/16 = 5/8. Write your answer as a whole number.
(2)
12
Which is larger, 7/10 or 3/4? Explain your answer showing any working.
(2)
13
Write 11/4 as a mixed number.
(1)
14
A bottle is 3/5 full of juice. You add another 4/7 of the bottle. Is the bottle more than full? Work out the total and give your answer in simplest form.
(3)
15
Is 2/3 + 1/4 greater than 1? Explain your answer clearly.
(2)
16
Calculate (6/9) x (3/8). Simplify your answer.
(2)
17
Work out 5 1/2 - 2 7/10. Give your answer in simplest form.
(2)
18
Sam has a pizza. He eats 2/5 of it. His friend eats 1/3 of the remaining pizza. How much of the whole pizza have they eaten altogether? Show your working and give the answer in simplest form.
(3)
Mark scheme · KS2.M-Y6N3 Fractions: All Four Operations
Question 1
B1 5/8 cao
Answer: 5/8
Question 2
M1 correct conversion or borrowing for the mixed-number subtraction, e.g. 4 1/3 = 3 4/3 then 3 4/3 - 2 2/3 = 1 2/3
A1 1 2/3 cao
Answer: 1 2/3
Question 3
M1 correct common denominator work, e.g. 1/4 = 3/12 and 7/12 + 3/12 = 10/12
A1 5/6 cao
Answer: 5/6
Question 4
B1 2/3 cao
Answer: 2/3
Question 5
B1 15/10 or 3/2 accepted; 3/2 cao
Answer: 3/2
Question 6
M1 correct multiplication of numerators and denominators, or cancellation first, e.g. 2/3 x 3/5 = (2x3)/(3x5)
A1 2/5 cao
Answer: 2/5
Question 7
M1 method using reciprocal or dividing numerator by 3, e.g. 3/4 x 1/3 or (3/4) ÷ 3 = 3/12
A1 1/4 cao
Answer: 1/4
Question 8
M1 correct use of reciprocal: 2/5 x 15/4 or equivalent cancellation
A1 3/2 or 1 1/2 cao
Answer: 3/2
Question 9
M1 correct common denominator work, e.g. 3/4 = 9/12, 2/3 = 8/12, then add to 17/12
A1 1 5/12 cao
B1 answer expressed in simplest form or as mixed number
M1 understands scaling: 8 -> 16 is x2 so numerator 5 x 2 = 10, or uses equivalent fraction method
A1 10 cao
Answer: 10
Question 12
M1 correct method to compare, e.g. convert to common denominator 7/10 = 28/40, 3/4 = 30/40 or convert to decimals
A1 3/4 is larger with correct reason (30/40 > 28/40) cao
Answer: 3/4 is larger
Question 13
B1 2 3/4 cao
Answer: 2 3/4
Question 14
M1 correct common denominator or conversion, e.g. 3/5 = 21/35, 4/7 = 20/35 then add to 41/35
A1 41/35 or 1 6/35 cao
B1 explicit yes, the bottle is more than full
Answer: 1 6/35
Question 15
M1 shows correct addition to a common denominator, e.g. 2/3 = 8/12, 1/4 = 3/12, total 11/12
A1 11/12 < 1 so answer is No, with reason cao
Answer: No, it is 11/12
Question 16
M1 correct multiplication with cancellation, e.g. cancel 6/9 to 2/3 then 2/3 x 3/8 = 2/8
A1 1/4 cao
Answer: 1/4
Question 17
M1 convert to improper fractions or to common denominator: 5 1/2 = 11/2, 2 7/10 = 27/10, convert to twentieths: 11/2 = 110/20, 27/10 = 54/20, then subtract
A1 56/20 = 14/5 or 2 4/5 cao
Answer: 2 4/5
Question 18
M1 correctly finds remaining pizza after Sam: 1 - 2/5 = 3/5, then finds 1/3 of 3/5 = 1/5