Word Problems: Error Analysis & Misconceptions
Mathematics
GCSE Higher
17 questions
~34 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on word problems involving multiplying fractions by integers, designed to develop understanding, identify common misconceptions, and challenge students with real-world and extension problems.
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Word Problems: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate 3/4 × 8.
[2 marks]2.
Compute the product of 2/5 and 15.
[2 marks]3.
What is 7/10 multiplied by 20?
[2 marks]4.
Calculate 5/8 × 16.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working in the grid spaces provided.
1.
A recipe requires 2/3 of a cup of sugar. If a baker makes 4 batches, how much sugar is needed in total?
[4 marks]2.
A car travels 3/5 of a 150-mile journey. How many miles has the car traveled?
[4 marks]3.
A gardener needs 4/9 of a bag of fertilizer for one garden. How much fertilizer is needed for 3 gardens?
[4 marks]C
Real-world Applications
Answer all questions carefully, showing your reasoning where appropriate.
1.
A factory produces 5/8 of a hundred toys each day. How many toys does it produce in 7 days?
[3 marks]2.
A cyclist rides 2/3 of a 90-mile route each day. How far does the cyclist travel in 4 days?
[4 marks]D
Challenge & Extension
Attempt these more challenging problems. Show your working clearly.
1.
A container holds 3/4 of a litre of paint. If a painter uses 2/3 of this amount for a project, how much paint is used?
[3 marks]2.
A school is 5/6 complete in building a new wing. If the total cost is £180,000, what is the estimated remaining cost?
[3 marks]E
Mixed Review
Answer these variety of questions on word problems involving multiplying fractions.
1.
A farmer harvests 2/5 of his field. If the total harvest from the entire field is 500 kg, how much was harvested?
[2 marks]2.
A recipe calls for 3/4 of a teaspoon of salt. If you double the recipe, how much salt is needed?
[2 marks]3.
A train covers 4/7 of a journey. If the total journey is 210 miles, how many miles are left?
[2 marks]F
Error Analysis & Misconceptions
The following questions illustrate common mistakes. Identify the error and provide the correct method or answer.
1.
A student calculates 2/3 × 9 as 2/3 × 9 = 18. What is the mistake, and what is the correct answer?
[3 marks]2.
A student finds 5/6 of 30 as 5/6 × 30 = 25. Identify the error and give the correct answer.
[3 marks]3.
Calculate 4/5 × 10 as 4/5 × 10 = 8. What mistake did the student make?
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet