Fractions: Comparing, Adding and Subtracting - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 5)Fractions: Comparing, Adding and Subtracting revision guide

This topic is chapter 3 of KS2 Maths: Fractions, Ratio and proportion, and Algebra Practice Book.

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4.7 Fractions: Comparing, Adding and Subtracting

Calculators not allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

Which fraction is larger: 3/8 or 2/5? Write the fraction that is larger.

(1)

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)

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)

Write 2 1/4 as an improper fraction.

(2)

Calculate 1 1/2 + 2 1/3. Give your answer as a mixed number in its simplest form.

(2)

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)

Explain why 4/6 is greater than 3/5. Give a short written reason.

(2)

Work out 2 2/5 - 1 3/10. Give your answer as a mixed number in simplest form.

(3)

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)

Find the total of 1/3 + 1/4 + 1/6. Give your answer in simplest form.

(3)

Write a fraction equivalent to 4/6 in its simplest form.

(1)

Complete: 5/12 + 1/12 = ?

(2)

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)

Order these from smallest to largest: 7/10, 3/5, 4/8.

(2)

Sofia says 6/9 is equal to 2/3. Is she correct? Explain in one sentence.

(2)

Find 1/3 of 60.

(2)

Add 3/5 and 1/10. Give your answer in its simplest form.

(2)

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)

Mark scheme · 4.7 Fractions: Comparing, Adding and Subtracting

Question 1

B1 2/5 cao
Answer: 2/5

Question 2

(a) B1 7 cao
(a) Answer: 7
(b) B1 5 cao
(b) Answer: 5

Question 3

M1 Convert 1/3 to 4/12 and add to 5/12
B1 9/12 or 3/4 cao
Answer: 3/4

Question 4

M1 Multiplies whole number by denominator and adds numerator (2 x 4 + 1)
B1 9/4 cao
Answer: 9/4

Question 5

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 6

M1 Convert 2/5 to 4/10 and add to 7/10
B1 11/10 or 1 1/10 cao
Answer: 11/10

Question 7

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 8

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 9

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
Answer: No. Liam is incorrect. 5/6 + 1/4 = 10/12 + 3/12 = 13/12 = 1 1/12.

Question 10

M1 Find common denominator 12 and convert each fraction: 1/3 = 4/12, 1/4 = 3/12, 1/6 = 2/12
M1 Adds numerators correctly to get 9/12
B1 3/4 cao
Answer: 3/4

Question 11

B1 2/3 cao
Answer: 2/3

Question 12

M1 Adds numerators with same denominator seen (5 + 1 = 6)
B1 6/12 or 1/2 cao
Answer: 1/2

Question 13

M1 Find common denominator 8 and convert 3/4 to 6/8 or equivalent method
B1 7/8 cao
Answer: 7/8

Question 14

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 15

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 16

M1 Divides 60 by 3 or shows method to find a third
B1 20 cao
Answer: 20

Question 17

M1 Convert to common denominator 10: 3/5 = 6/10, then add
B1 7/10 cao
Answer: 7/10

Question 18

M1 Find common denominator 6 and convert 2/3 to 4/6 (or equivalent)
B1 5/6 cao
Answer: 5/6

Fractions: Comparing, Adding and Subtracting - Worksheets, Questions and Revision

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