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Mastering Fractions: Arithmetic

Mathematics
GCSE Higher
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About This Worksheet

A worksheet covering Fractions: Arithmetic for GCSE Higher students.

Topics covered:

#Mathematics
#Fractions: Arithmetic

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Mastering Fractions: Arithmetic

Subject: MathematicsGrade: GCSE Higher
Name:
Date:

Untitled Worksheet

Grade GCSE Higher
A

Introduction

Review the basic operations on fractions: addition, subtraction, multiplication, and division. Remember to simplify your answers where possible.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate: 34+25 \frac{3}{4} + \frac{2}{5}
[2 marks]
2.
Subtract: 78−13 \frac{7}{8} - \frac{1}{3}
[2 marks]
3.
Multiply: 56×23 \frac{5}{6} \times \frac{2}{3}
[2 marks]
4.
Divide: 34÷25 \frac{3}{4} \div \frac{2}{5}
[2 marks]
5.
Simplify: 1824 \frac{18}{24}
[1 mark]
6.
Express as a mixed number: 114 \frac{11}{4}
[1 mark]
7.
Estimate: Which is larger? 37 \frac{3}{7} or 49 \frac{4}{9}
[1 mark]
8.
Reasoning: If ab+cd=1 \frac{a}{b} + \frac{c}{d} = 1 and all fractions are positive, which of the following could be true? a=1,c=1 a=1, c=1
[3 marks]
9.
Solve for x x : x4+12=34 \frac{x}{4} + \frac{1}{2} = \frac{3}{4}
[2 marks]
10.
A recipe requires 23 \frac{2}{3} cup of sugar. If you want to make half the recipe, how much sugar should you use?
[2 marks]
11.
Challenge: A tank is filled with 35 \frac{3}{5} of its capacity. If 23 \frac{2}{3} of the water is drained, what fraction of the tank remains filled?
[3 marks]
12.
Real-world application: A car travels 34 \frac{3}{4} of a journey at 60 km/h and the remaining 14 \frac{1}{4} at 80 km/h. Find the average speed for the entire journey.
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet
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