Word Problems: Problem Solving & Reasoning
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focused on solving word problems involving multiplying fractions by integers, designed to develop reasoning skills for GCSE Higher students.
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Full preview • 12 questions
Word Problems: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
Name:
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Untitled Worksheet
Grade GCSE Higher
A
Introduction
Read each problem carefully. Use the grid spaces provided to show your working where applicable. Think about how to interpret the word problem into a mathematical operation involving fractions.
B
Practice Questions
Answer all questions. Show your working clearly in the grid spaces provided.
1.
Calculate: 3/4 × 5.
[2 marks]2.
Calculate: 2/3 × 9.
[2 marks]3.
A recipe requires 2/5 of a cup of sugar per serving. How much sugar is needed for 7 servings?
[3 marks]4.
A painter uses 3/8 litre of paint for each wall. How much paint is used for 6 walls?
[3 marks]5.
Calculate: 7/10 × 4.
[2 marks]6.
A factory produces 5/6 of a batch of widgets each day. If the batch contains 360 widgets, how many widgets are produced each day?
[3 marks]7.
If 2/3 of a class of 30 students are boys, how many boys are in the class?
[2 marks]8.
A farmer harvests 3/4 of a hectare of wheat each day. How many hectares does he harvest in 10 days?
[3 marks]9.
Calculate: 5/8 × 12.
[2 marks]10.
A shirt is reduced by 2/5 of its original price. If the original price is £40, what is the new price?
[3 marks]11.
A container holds 7/8 litre of water. If 3/4 of the water is used, how much water remains?
[2 marks]12.
A construction worker uses 1/2 metre of wire for each fence panel. How much wire is needed for 15 panels?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet