Proper Fractions: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on proper fractions, highlighting common errors and misconceptions related to adding fractions with the same denominator. Designed for GCSE Foundation students to develop procedural fluency and reasoning skills.
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Proper Fractions: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer the following questions to practice adding proper fractions with the same denominator. Show your working in the grid spaces provided.
1.
Calculate:
[2 marks]2.
Calculate:
[2 marks]3.
Add:
[2 marks]4.
Add:
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems involving proper fractions. Explain your reasoning clearly.
1.
A recipe requires of a cup of sugar and of a cup of flour. How much of these ingredients are used in total? Show your working.
[4 marks]2.
Emma has of a chocolate bar and gives away . How much does she have left? Show your working.
[4 marks]C
Real-world Applications
Read the scenario and solve the problem related to proper fractions in real-life contexts.
1.
Liam drank of a litre of juice in the morning and in the afternoon. How much juice did he drink altogether? Show your working.
[3 marks]D
Challenge & Extension
Attempt these more challenging problems that involve proper fractions and reasoning.
1.
A pizza is cut into 8 equal slices. If of the pizza is eaten, what fraction remains? How does this compare to ? Explain your reasoning.
[4 marks]2.
Construct a diagram showing the sum of and . Confirm the total in simplest form.
[3 marks]E
Mixed Review & Error Analysis
Review the following common mistakes and identify/fix errors.
1.
A student adds and writes the answer as . Identify the mistake and correct it.
[3 marks]2.
A student claims . Is this correct? If not, explain and correct the mistake.
[3 marks]Quick Actions
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Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet