Fractions: Practice Set 3 - Worksheets, Questions and Revision

24 original exam-style questions - 6 pages of questions with a full mark scheme - free printable PDF.

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11+ · GL ASSESSMENT

EP.M47 Fractions: Practice Set 3

GL ASSESSMENT GL-11PLUS-MATHS · Calculators not allowed · about 55 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.

Fractions: Practice Set 3

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A third original 11+ fractions practice set, complementing EP.M3 (Fractions), EP.M3B (Fractions: Practice Set 2), EP.M30 and EP.M36 (Fractions, Decimals and Percentages Depth). It covers equivalence, simplifying, ordering, converting between mixed numbers and improper fractions, all four operations with proper fractions and mixed numbers, finding fractions of an amount, and worded and multi-step reasoning problems. Questions are ramped from straightforward warm-up items to demanding multi-step problems designed to stretch the strongest candidates.

1
Which fraction is equivalent to 4/10?
  • A) 1/4
  • B) 2/5
  • C) 3/6
  • D) 4/5
  • E) 5/10
(Total for Question 1 is 1 mark)
2
Simplify 18/30 fully.
  • A) 9/15
  • B) 6/10
  • C) 3/5
  • D) 2/3
  • E) 1/2
(Total for Question 2 is 1 mark)
3
Which of these fractions is NOT equivalent to 5/8?
  • A) 10/16
  • B) 15/24
  • C) 20/32
  • D) 25/40
  • E) 30/50
(Total for Question 3 is 1 mark)
4
Find the missing number: 7/9 = ?/36
  • A) 24
  • B) 28
  • C) 32
  • D) 40
  • E) 4
(Total for Question 4 is 1 mark)
5
Which list shows these fractions in order of size, smallest first: 2/3, 5/8, 7/12?
  • A) 7/12, 5/8, 2/3
  • B) 2/3, 5/8, 7/12
  • C) 5/8, 7/12, 2/3
  • D) 7/12, 2/3, 5/8
  • E) 2/3, 7/12, 5/8
(Total for Question 5 is 1 mark)
6
Write these fractions in order of size, smallest first: 5/6, 3/4, 11/12, 2/3
(Total for Question 6 is 2 marks)
7
Write 67/9 as a mixed number in its simplest form.
  • A) 7 4/9
  • B) 6 4/9
  • C) 7 5/9
  • D) 8 4/9
  • E) 7 1/9
(Total for Question 7 is 1 mark)
8
Write 8 5/7 as an improper fraction.
  • A) 61/7
  • B) 56/7
  • C) 62/7
  • D) 45/7
  • E) 61/8
(Total for Question 8 is 1 mark)
9
Work out 5/6 + 3/8, giving your answer as a mixed number in its simplest form.
(Total for Question 9 is 2 marks)
10
Work out 2 5/9 + 1 5/6, giving your answer as a mixed number in its simplest form.
(Total for Question 10 is 2 marks)
11
Work out 7/8 - 5/12, giving your answer in its simplest form.
(Total for Question 11 is 2 marks)
12
Work out 5 1/4 - 2 5/6, giving your answer as a mixed number in its simplest form.
(Total for Question 12 is 2 marks)
13
Work out 4/9 x 3/10, giving your answer in its simplest form.
(Total for Question 13 is 2 marks)
14
Work out 1 3/5 x 2 1/4, giving your answer as a mixed number in its simplest form.
(Total for Question 14 is 2 marks)
15
Work out 5/6 / 5/9, giving your answer as a mixed number in its simplest form.
(Total for Question 15 is 2 marks)
16
Work out 4 2/5 / 1 1/5, giving your answer as a mixed number in its simplest form.
(Total for Question 16 is 2 marks)
17
Find 7/11 of 121.
  • A) 66
  • B) 70
  • C) 77
  • D) 84
  • E) 91
(Total for Question 17 is 2 marks)
18
A laptop in a Sheffield electronics shop costs £184. Ravi buys the laptop and a case that costs 3/8 of the laptop's price. How much does the case cost?
(Total for Question 18 is 2 marks)
19
Nadia has £96. She spends 1/4 of it on a train ticket. She then spends 1/3 of what remains on lunch. How much money does Nadia have left?
(Total for Question 19 is 3 marks)
20
A greengrocer in Manchester has 210 kg of apples for sale. By midday, 2/7 of the apples have been sold. Of the apples that remain, 3/5 are sold during the afternoon. How many kilograms of apples are left unsold at the end of the day?
(Total for Question 20 is 4 marks)
21
3/8 of a number is 54. Find 5/6 of the same number.
(Total for Question 21 is 4 marks)
22
At a fair in Aberdeen, 1/4 of the visitors arrive before midday. Of the visitors who arrive at midday or later, 3/7 arrive between midday and 3pm, and the rest arrive after 3pm. Given that 96 visitors arrive after 3pm, work out the total number of visitors at the fair.
(Total for Question 22 is 5 marks)
23
Calculate (5/6 - 3/8) / (7/9 + 1/3), giving your answer as a fraction in its simplest form.
(Total for Question 23 is 4 marks)
24
A sequence of fractions begins 3/5, 5/8, 7/11, 9/14, ... Write the next two terms, and give a rule for the nth term.
(Total for Question 24 is 3 marks)
Mark scheme · EP.M47 Fractions: Practice Set 3

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24