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11+ · Fractions

EP.M96 Adding and Subtracting Fractions with Unlike Denominators

GL ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 55 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

What is 1/2 + 1/3?

A) 1/5
B) 2/5
C) 5/6
D) 1
E) 5/9

(Total for Question 1 is 1 mark)

Calculate 2/3 - 1/4.

A) 1/12
B) 5/12
C) 1/3
D) 5/7
E) 11/12

(Total for Question 2 is 1 mark)

Find the value of 3/5 + 2/7.

A) 31/35
B) 5/12
C) 13/35
D) 6/7
E) 1 3/35

(Total for Question 3 is 1 mark)

Calculate 7/8 - 1/3.

A) 13/24
B) 6/11
C) 4/24
D) 7/11
E) 5/24

(Total for Question 4 is 1 mark)

What is 5/6 + 1/2? Give your answer as a mixed number if needed.

A) 4/3
B) 1 1/3
C) 7/6
D) 6/6
E) 5/12

(Total for Question 5 is 1 mark)

Calculate 2 1/4 - 3/8. Give your answer as a mixed number.

A) 1 1/4
B) 1 3/8
C) 1 7/8
D) 2 1/8
E) 2 5/8

(Total for Question 6 is 1 mark)

Find 4/9 + 5/6. Give your answer as a mixed number if needed.

A) 23/18
B) 1 5/18
C) 1 7/18
D) 2 5/18
E) 23/36

(Total for Question 7 is 1 mark)

Calculate 9/10 - 2/3 and give the answer in simplest form.

A) 7/30
B) 1/30
C) 1/15
D) 5/30
E) 7/10

(Total for Question 8 is 1 mark)

Work out 1/3 + 3/4. Give the answer as a mixed number.

A) 13/12
B) 1 1/12
C) 1 3/12
D) 7/12
E) 4/3

(Total for Question 9 is 1 mark)

Find 5/12 + 1/18 and give your answer in simplest form.

A) 17/36
B) 1/3
C) 7/36
D) 11/36
E) 17/18

(Total for Question 10 is 1 mark)

Calculate 7/15 - 1/6 and give the answer in simplest form.

A) 3/10
B) 9/30
C) 11/30
D) 1/5
E) 4/15

(Total for Question 11 is 1 mark)

Add 3 2/5 and 1 3/10. Give your answer as a mixed number.

A) 4 7/10
B) 5 1/2
C) 4 1/2
D) 4 13/10
E) 3 11/10

(Total for Question 12 is 1 mark)

Work out 3/4 + 5/12. Give your answer in simplest form.

(Total for Question 13 is 2 marks)

A recipe needs 2/3 litre of milk and you then add a further 1/4 litre. How much milk is used in total? Give your answer in simplest form.

(Total for Question 14 is 2 marks)

Sofia ate 3/5 of a tart and Amir ate 1/3 of the same tart. What fraction of the tart remains?

(Total for Question 15 is 2 marks)

A ribbon is 1 1/2 m long. A piece of 2/3 m is cut from it. How much ribbon is left? Give your answer in simplest form.

(Total for Question 16 is 2 marks)

Calculate 5/8 + 1/3 + 1/24. Write your answer as a whole number or fraction in simplest form.

(Total for Question 17 is 2 marks)

A jug contains 2 1/3 litres of juice. Eva pours out 7/12 litre. How much juice remains? Give your answer as a mixed number in simplest form.

(Total for Question 18 is 2 marks)

Three friends share a pizza. Naomi ate 3/8 and Leo ate 1/6. What fraction of the pizza did Priya eat? Give your answer in simplest form.

(Total for Question 19 is 3 marks)

A water tank was 4 2/5 full. After some water was used it was 2 7/10 full. How much water was used? Give your answer as a mixed number in simplest form.

(Total for Question 20 is 3 marks)

Mark scheme · EP.M96 Adding and Subtracting Fractions with Unlike Denominators

Question 1

B1 correct option C (5/6) cao
Answer: C) 5/6 (since 1/2 = 3/6 and 1/3 = 2/6, 3/6 + 2/6 = 5/6).

Question 2

B1 correct option B (5/12) cao
Answer: B) 5/12 (2/3 = 8/12; 8/12 - 3/12 = 5/12).

Question 3

B1 correct option A (31/35) cao
Answer: A) 31/35 (3/5 = 21/35; 2/7 = 10/35; 21/35 + 10/35 = 31/35).

Question 4

B1 correct option A (13/24) cao
Answer: A) 13/24 (7/8 = 21/24; 1/3 = 8/24; 21/24 - 8/24 = 13/24).

Question 5

B1 correct option B (1 1/3) cao
Answer: B) 1 1/3 (5/6 + 1/2 = 5/6 + 3/6 = 8/6 = 1 2/6 = 1 1/3).

Question 6

B1 correct option C (1 7/8) cao
Answer: C) 1 7/8 (2 1/4 = 2 2/8; 2 2/8 - 3/8 = 2 -1/8 = 1 7/8).

Question 7

B1 correct option B (1 5/18) cao
Answer: B) 1 5/18 (4/9 = 8/18; 5/6 = 15/18; 8/18 + 15/18 = 23/18 = 1 5/18).

Question 8

B1 correct option A (7/30) cao
Answer: A) 7/30 (9/10 = 27/30; 2/3 = 20/30; 27/30 - 20/30 = 7/30).

Question 9

B1 correct option B (1 1/12) cao
Answer: B) 1 1/12 (1/3 = 4/12; 3/4 = 9/12; 4/12 + 9/12 = 13/12 = 1 1/12).

Question 10

B1 correct option A (17/36) cao
Answer: A) 17/36 (5/12 = 15/36; 1/18 = 2/36; 15/36 + 2/36 = 17/36).

Question 11

B1 correct option A (3/10) cao
Answer: A) 3/10 (7/15 = 14/30; 1/6 = 5/30; 14/30 - 5/30 = 9/30 = 3/10).

Question 12

B1 correct option A (4 7/10) cao
Answer: A) 4 7/10 (3 2/5 = 3 4/10; 3/10 added gives 4 7/10).

Question 13

M1 common denominator method seen (3/4 = 9/12) or equivalent
A1 1 1/6 or 7/6 cao
Answer: 1 1/6 (14/12 = 7/6).

Question 14

M1 Attempt to use common denominator (2/3 = 8/12, 1/4 = 3/12) or equivalent
A1 11/12 litre cao
Answer: 11/12 litre.

Question 15

M1 Common denominator used to add fractions eaten (3/5 = 9/15, 1/3 = 5/15) or equivalent
A1 1/15 remains cao
Answer: 1/15 of the tart remains.

Question 16

M1 Convert to improper or common denominator (1 1/2 = 3/2; 3/2 - 2/3 with common denom 6 shown) or equivalent
A1 5/6 m cao
Answer: 5/6 m.

Question 17

M1 Use of common denominator or equivalent method (5/8 = 15/24, 1/3 = 8/24) seen
A1 1 cao
Answer: 1 (since 15/24 + 8/24 + 1/24 = 24/24 = 1).

Question 18

M1 Convert 2 1/3 to improper fraction and subtract using common denominator (7/3 - 7/12 or equivalent) seen
A1 1 3/4 litres cao
Answer: 1 3/4 litres.

Question 19

M1 Common denominator used to add Naomi and Leo's fractions (3/8 = 9/24, 1/6 = 4/24) or equivalent
M1 Subtracting their total from 1 to find Priya's share (1 - 13/24) seen
A1 11/24 cao
Answer: 11/24 of the pizza.

Question 20

M1 Convert mixed numbers or use common denominator (4 2/5 = 4 4/10, 2 7/10) or equivalent shown
M1 Subtraction carried out correctly (4 4/10 - 2 7/10 or improper fraction method) seen
A1 1 7/10 cao
Answer: 1 7/10 (since 4 2/5 - 2 7/10 = 4 4/10 - 2 7/10 = 1 7/10).

Adding and Subtracting Fractions with Unlike Denominators - Worksheets, Questions and Revision