Which fraction is larger: 3/8 or 2/5? Write the fraction that is larger.
(1)
2
Write a fraction equivalent to 4/6 in its simplest form.
(1)
3
Complete: 5/12 + 1/12 = ?
(2)
4
Jacob colours 3/4 of a shape. Priya colours 1/8 of the same shape. How much of the shape is coloured altogether? Give your answer as a fraction in its simplest form.
(2)
5
Order these from smallest to largest: 7/10, 3/5, 4/8.
(2)
6
Sofia says 6/9 is equal to 2/3. Is she correct? Explain in one sentence.
(2)
7
Find 1/3 of 60.
(2)
8
Add 3/5 and 1/10. Give your answer in its simplest form.
(2)
9
A recipe needs 2/3 of a cup of milk and 1/6 of a cup of oil. How many cups of liquid are needed in total? Give your answer in simplest form.
(2)
10
Complete the table: What is 1/2 of 14? What is 1/4 of 20?
(a)1/2 of 14(1)
(b)1/4 of 20(1)
11
Sam ate 5/12 of a pizza and Mia ate 1/3 of the same pizza. How much of the pizza was eaten altogether? Give your answer in simplest form.
(2)
12
Write 2 1/4 as an improper fraction.
(2)
13
Calculate 1 1/2 + 2 1/3. Give your answer as a mixed number in its simplest form.
(2)
14
A class collects 7/10 kg of apples on Monday and 2/5 kg on Tuesday. How many kilograms did they collect altogether? Give your answer as a fraction.
(2)
15
Explain why 4/6 is greater than 3/5. Give a short written reason.
(2)
16
Work out 2 2/5 - 1 3/10. Give your answer as a mixed number in simplest form.
(3)
17
Liam says that to add 5/6 and 1/4 you add the numerators and add the denominators to get 6/10. Is Liam correct? Explain your answer.
(3)
18
Find the total of 1/3 + 1/4 + 1/6. Give your answer in simplest form.
(3)
Mark scheme · KS2.M-Y5N5 Fractions: Comparing, Adding and Subtracting
Question 1
B1 2/5 cao
Answer: 2/5
Question 2
B1 2/3 cao
Answer: 2/3
Question 3
M1 Adds numerators with same denominator seen (5 + 1 = 6)
B1 6/12 or 1/2 cao
Answer: 1/2
Question 4
M1 Find common denominator 8 and convert 3/4 to 6/8 or equivalent method
B1 7/8 cao
Answer: 7/8
Question 5
M1 Attempts common denominator or converts to decimals/like denominators correctly
B1 4/8, 3/5, 7/10 cao
Answer: 4/8, 3/5, 7/10
Question 6
M1 Shows multiplication or division to simplify 6/9 (for example divide numerator and denominator by 3)
B1 Statement that 6/9 = 2/3 with correct reason, e.g. 6 ÷ 3 = 2 and 9 ÷ 3 = 3
Answer: Yes. 6/9 = 2/3 because 6 ÷ 3 = 2 and 9 ÷ 3 = 3.
Question 7
M1 Divides 60 by 3 or shows method to find a third
B1 20 cao
Answer: 20
Question 8
M1 Convert to common denominator 10: 3/5 = 6/10, then add
B1 7/10 cao
Answer: 7/10
Question 9
M1 Find common denominator 6 and convert 2/3 to 4/6 (or equivalent)
B1 5/6 cao
Answer: 5/6
Question 10
(a) B1 7 cao
(a) Answer: 7
(b) B1 5 cao
(b) Answer: 5
Question 11
M1 Convert 1/3 to 4/12 and add to 5/12
B1 9/12 or 3/4 cao
Answer: 3/4
Question 12
M1 Multiplies whole number by denominator and adds numerator (2 x 4 + 1)
B1 9/4 cao
Answer: 9/4
Question 13
M1 Convert to improper fractions or convert to common denominator (1 1/2 = 3/2, 2 1/3 = 7/3) and add
B1 3 5/6 cao
Answer: 3 5/6
Question 14
M1 Convert 2/5 to 4/10 and add to 7/10
B1 11/10 or 1 1/10 cao
Answer: 11/10
Question 15
M1 Shows method to compare, e.g. convert to common denominator 30: 4/6 = 20/30 and 3/5 = 18/30 or compares decimals
B1 Conclusion that 4/6 > 3/5 with correct reason, e.g. 20/30 > 18/30
Answer: 4/6 is greater because 4/6 = 20/30 and 3/5 = 18/30, and 20/30 > 18/30.
Question 16
M1 Convert to improper fractions or to common denominator: 2 2/5 = 12/5, 1 3/10 = 13/10
M1 Convert both to denominator 10 and subtract (24/10 - 13/10 = 11/10)
B1 1 1/10 cao
Answer: 1 1/10
Question 17
M1 Identifies error in method or shows correct approach is to use common denominator
M1 Shows correct common denominator and adds correctly, e.g. 5/6 = 10/12, 1/4 = 3/12, sum = 13/12
B1 Conclusion that Liam is incorrect and correct sum is 13/12 or 1 1/12 cao