Fractions: Equivalence, Ordering and Calculation - Worksheets, Questions and Revision

20 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

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KS2 · Number

KS2.M-FRAC Fractions: Equivalence, Ordering and Calculation

NCETM National Curriculum (2014) Mathematics - KS2 Number: Fractions (Equivalence, Ordering and Calculation) · Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Complete each equivalent fraction statement.
(a)2/5 = ?/20(1)
(b)Write 18/24 in its simplest form.(1)
2
Write these fractions in order of size, starting with the smallest: 5/8, 1/8, 6/8, 3/8
(2)
3
Which is greater, 3/4 or 5/6? Show working to justify your answer.
(2)
4
Convert between improper fractions and mixed numbers.
(a)Write 17/5 as a mixed number.(1)
(b)Write 4 3/7 as an improper fraction.(1)
5
Work out 3/8 of 96.
(2)
6
Add and subtract these fractions, giving each answer in its simplest form.
(a)3/10 + 4/10(1)
(b)5/6 - 1/4(2)
7
Work out 2 3/4 + 1 5/8. Give your answer as a mixed number in its simplest form.
(3)
8
Work out 5/6 x 4. Give your answer as a mixed number in its simplest form.
(2)
9
Work out 2/3 x 3/5. Give your answer in its simplest form.
(2)
10
Work out 3/4 divided by 6. Give your answer in its simplest form.
(2)
11
Write these fractions in order of size, starting with the smallest: 2/3, 5/9, 7/12. Show your working.
(3)
12
Priya is baking scones. One batch of scones uses 2/5 of a bag of flour. Priya has 3/4 of a bag of flour.
(a)How many complete batches of scones can Priya make?(2)
(b)What fraction of a bag of flour will be left over after making the complete batches?(1)
13
Find the missing numbers in each equivalent fraction.
(a)3/7 = 12/?(1)
(b)?/40 = 7/8(1)
14
Which is greater, 4/7 or 5/9? Use cross multiplication to explain your answer, without using a calculator.
(2)
15
Work out 1/2 + 1/3 + 1/4. Give your answer as a mixed number in its simplest form.
(3)
16
Work out 5 1/6 - 2 5/6. Give your answer as a mixed number in its simplest form.
(3)
17
Show that 5/6 is greater than 7/9, without using a calculator.
(2)
18
There are 360 pupils at Hartfield Primary School. 5/8 of the pupils are girls. 2/3 of the girls walk to school.
(a)How many pupils are girls?(1)
(b)How many girls do not walk to school?(2)
19
A fraction in its simplest form is 3/4. Find two different fractions equivalent to 3/4, each with a denominator between 12 and 30.
(2)
20
The sum of two unit fractions is 7/12. One of the fractions is 1/3. Find the other fraction, giving your answer in its simplest form.
(2)
Mark scheme · KS2.M-FRAC Fractions: Equivalence, Ordering and Calculation

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