Simplifying: Problem Solving & Reasoning
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on simplifying fractions derived from percentages, designed to develop procedural skills and reasoning for GCSE Higher students.
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Full preview • 11 questions
Simplifying: Problem Solving & Reasoning
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 to its lowest terms.
[2 marks]2.
Convert 75% to a simplified fraction.
[2 marks]3.
Simplify the fraction 42/56.
[2 marks]4.
A product is discounted by 40%. Express this as a simplified fraction representing the remaining percentage.
[3 marks]5.
A survey shows that 60% of people prefer tea over coffee. Write this as a simplified fraction.
[2 marks]6.
Calculate and simplify: (50/100) + (25/100).
[3 marks]7.
A school has 180 students. If 45% are in Year 11, what fraction of the students are in Year 11, in simplest form?
[4 marks]8.
Construct a triangle with sides proportional to 15/20 and 25/35, and simplify the ratios.
[4 marks]9.
The price of an item increases by 33⅓%. Express this increase as a simplified fraction.
[2 marks]10.
A report states that 80% of a batch of products pass quality control. Write this as a simplified fraction.
[2 marks]11.
Identify and correct the mistake: Simplify 20/30 as 2/3.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet