Simplifying: Challenge & Extension
Mathematics
GCSE Higher
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet designed to deepen understanding of simplifying fractions and percentages, including multi-step problems and real-world contexts for GCSE Higher students.
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Simplifying: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the fraction 18/24.
[2 marks]2.
Express 75% as a simplified fraction.
[2 marks]3.
Convert 60% into its simplest fractional form.
[2 marks]4.
Simplify the ratio 48:64.
[2 marks]B
Fluency & Practice
Solve these questions to practice simplifying percentages and fractions.
1.
Simplify 50/100.
[2 marks]2.
Express 40% as a simplified fraction.
[2 marks]C
Problem Solving & Reasoning
Solve these multi-step problems and explain your reasoning clearly.
1.
A shirt originally costs £40. It is on sale at 25% off. What is the sale price after simplifying the discount as a fraction?
[4 marks]2.
A student scored 84%. If this percentage is expressed as a simplified fraction, what is it?
[3 marks]D
Real-world Applications
Use your understanding of simplifying fractions and percentages in real-life contexts.
1.
A car consumes 60 liters of fuel for 150 miles. Express this fuel efficiency as a simplified fraction of liters per mile.
[3 marks]2.
A survey shows 70% of people prefer tea over coffee. Write this as a simplified fraction.
[2 marks]E
Challenge & Extension
Tackle these more challenging questions to extend your understanding.
1.
Simplify the complex ratio 81:108 to its simplest form.
[3 marks]2.
Express 125/250 as a fully simplified fraction, then convert it into a percentage.
[4 marks]F
Mixed Review
Answer these questions covering a variety of simplifying topics.
1.
Simplify 35/105.
[2 marks]2.
Convert 15% to a simplified fraction.
[2 marks]G
Error Analysis
Identify and correct the mistake in the following problem solution.
1.
A student simplified 24/36 to 2/3, but their answer was incorrectly written as 4/6. Explain whether this is correct or not, and rewrite the simplified form if necessary.
[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