Writing, Simplifying and Ordering Fractions - Worksheets, Questions and Revision

19 original exam-style questions - 8 pages of questions with a full mark scheme - free printable PDF.

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1.5 Writing, Simplifying and Ordering Fractions

EDEXCEL 1MA1 · Calculator allowed · about 85 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
A rectangle is divided into 10 equal parts. 7 of the parts are shaded grey.
(a)Write down the fraction of the rectangle that is shaded.(1)
(b)Write down the fraction of the rectangle that is not shaded.(1)
(Total for Question 1 is 2 marks)
2
Tomasz has a bag of 12 counters. 5 of the counters are red, 4 are blue and 3 are green.
(a)Write down the fraction of the counters that are red.(1)
(b)Write down the fraction of the counters that are blue.(1)
(c)Simplify your answer to part (b) fully.(1)
(Total for Question 2 is 3 marks)
3
Simplify each fraction fully.
(a)6/8(1)
(b)10/15(1)
(c)12/18(1)
(d)20/45(1)
(Total for Question 3 is 4 marks)
4
Circle the correct equivalent fraction in each part.
(a)Which fraction is equivalent to 3/4?(1)
  • A) 6/9
  • B) 9/12
  • C) 8/10
  • D) 12/20
(b)Which fraction is equivalent to 2/5?(1)
  • A) 4/15
  • B) 6/20
  • C) 8/20
  • D) 10/20
(Total for Question 4 is 2 marks)
5
Find the missing number in each pair of equivalent fractions.
(a)3/4 = ?/20(1)
(b)5/6 = 15/?(1)
(c)2/9 = 8/?(1)
(d)?/7 = 12/21(1)
(Total for Question 5 is 4 marks)
6
Write these fractions in order of size, starting with the smallest.

5/9 2/9 7/9 4/9
(Total for Question 6 is 2 marks)
7
Write these fractions in order of size, starting with the smallest.

1/2 3/8 5/6
(Total for Question 7 is 3 marks)
8
Insert <, > or = between each pair of fractions.
(a)3/5 ___ 7/10(1)
(b)5/6 ___ 7/9(1)
(c)4/8 ___ 1/2(1)
(d)5/12 ___ 3/8(1)
(Total for Question 8 is 4 marks)
9
In Mrs Ahmed's class of 30 pupils, 18 are girls.
(a)Write down the fraction of pupils who are girls.(1)
(b)Write your answer to part (a) in its simplest form.(1)
(c)Write down the fraction of pupils who are boys, in its simplest form.(1)
(Total for Question 9 is 3 marks)
10
Simplify each fraction fully.
(a)36/48(1)
(b)28/70(1)
(c)32/40(1)
(d)63/81(1)
(Total for Question 10 is 4 marks)
11
A recipe book lists the amount of flour needed for four different cakes.

Cake A: 3/4 kg Cake B: 5/8 kg Cake C: 2/3 kg Cake D: 7/12 kg

Write the cakes in order of the amount of flour used, starting with the least amount.
(Total for Question 11 is 3 marks)
12
Aisha says that 1/3 is bigger than 3/10. Decide whether Aisha is correct. You must show working to support your decision.
(Total for Question 12 is 2 marks)
13
At a coffee morning attended by 40 people, 25 people chose tea and the rest chose coffee.
(a)Write down the fraction of people who chose coffee.(1)
(b)Write your answer to part (a) in its simplest form.(1)
(Total for Question 13 is 2 marks)
14
Circle the correct list in each part.
(a)Which list shows 1/4, 1/3, 1/2, 2/3 in order from smallest to largest?(1)
  • A) 1/4, 1/2, 1/3, 2/3
  • B) 1/4, 1/3, 1/2, 2/3
  • C) 2/3, 1/2, 1/3, 1/4
  • D) 1/3, 1/4, 1/2, 2/3
(b)Which list shows 5/6, 2/3, 3/4, 1/2 in order from largest to smallest?(1)
  • A) 5/6, 3/4, 2/3, 1/2
  • B) 1/2, 2/3, 3/4, 5/6
  • C) 5/6, 2/3, 3/4, 1/2
  • D) 3/4, 5/6, 2/3, 1/2
(Total for Question 14 is 2 marks)
15
Grace runs a bake sale and sells 60 cakes in total. 24 of the cakes are chocolate, 15 are lemon and the rest are vanilla.
(a)Work out the number of vanilla cakes.(1)
(b)Write the fraction of cakes that were vanilla, in its simplest form.(2)
(Total for Question 15 is 3 marks)
16
Convert between mixed numbers and improper fractions, and simplify where asked.
(a)Write 17/5 as a mixed number.(1)
(b)Write 4 3/7 as an improper fraction.(1)
(c)Write 29/6 as a mixed number, in its simplest form.(1)
(d)Write 5 2/9 as an improper fraction.(1)
(e)Simplify 84/126 fully.(2)
(Total for Question 16 is 6 marks)
17
Write these numbers in order of size, starting with the smallest.

7/4 8/5 5/3 11/6
(Total for Question 17 is 3 marks)
18
Show that 15/18 and 5/6 are equivalent fractions.
(Total for Question 18 is 2 marks)
19
Ribbon A is 3/5 m long. Ribbon B is 7/10 m long. Priya says that Ribbon B is more than 1/10 m longer than Ribbon A. Is Priya correct? You must show your working.
(Total for Question 19 is 3 marks)
Mark scheme · 1.5 Writing, Simplifying and Ordering Fractions

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