Mixed Numbers: Challenge & Extension
Mathematics
GCSE Foundation
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet designed to develop confidence in subtracting mixed numbers with unlike denominators, including procedural, problem-solving, and extension questions for GCSE Foundation students.
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Mixed Numbers: Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Complete these practice questions to master subtracting mixed numbers with unlike denominators. Show your working in the grid spaces provided.
1.
Subtract the mixed numbers: 3 1/4 - 1 2/3. Show your conversion to improper fractions.
[3 marks]2.
Calculate the difference: 5 3/5 - 2 4/7.
[3 marks]3.
Convert 2 2/3 to an improper fraction.
[1 mark]4.
Subtract: 4 1/2 - 1 3/4. Provide your answer as a mixed number.
[3 marks]B
Problem Solving & Reasoning
Solve these multi-step problems involving subtraction of mixed numbers. Explain your steps clearly.
1.
A recipe requires 2 1/2 cups of sugar. If you have already used 1 3/4 cups, how much more sugar do you need to add?
[4 marks]2.
A swimmer completes 4 2/3 laps in the morning and 2 1/4 laps in the afternoon. How many laps did they swim in total?
[4 marks]3.
Subtract 7 1/3 from 10 2/5, and explain why converting to improper fractions simplifies the process.
[4 marks]C
Real-world Applications
Apply your knowledge to these contextual problems involving mixed numbers.
1.
A painter has 5 3/4 liters of paint. If they use 2 2/3 liters for a project, how much paint remains?
[3 marks]2.
A gardener needs 3 5/8 meters of fencing. If they have already installed 1 3/4 meters, how much more fencing is needed?
[3 marks]D
Challenge & Extension
Attempt these advanced problems to extend your understanding of subtracting mixed numbers.
1.
Calculate: 9 2/3 - 4 5/6. Show all steps and explain why the common denominator is necessary.
[4 marks]2.
Construct a triangle on the grid with sides measuring 3 1/2, 4 2/3, and 5 1/4. Use the grid to verify the lengths.
[4 marks]E
Mixed Review & Error Analysis
Review these questions to consolidate your understanding and identify common mistakes.
1.
A student subtracts 2 3/4 - 1 2/5 and gets 0 1/20. Identify the mistake and correct it.
[3 marks]2.
Convert 4 2/3 to an improper fraction correctly. Why is this step important in subtraction?
[2 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