/100: Error Analysis & Misconceptions
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions related to converting percentages to fractions with denominator 100. Designed to develop procedural accuracy and conceptual understanding.
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/100: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Convert the following percentages to simplified fractions. Show your working in the grid spaces provided.
1.
Convert 25% to a fraction in simplest form.
[2 marks]2.
Express 75% as a fraction over 100 and simplify.
[2 marks]3.
Write 50% as a fraction and reduce it to its simplest form.
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems. Explain your reasoning clearly.
1.
A store offers a 20% discount. If the original price is £50, what is the discount amount? Express this as a fraction over 100 and then as a simplified fraction.
[4 marks]2.
A survey shows that 60% of students prefer online classes. If 180 students are surveyed, how many prefer online classes? Show your conversion of percentage to fraction and the calculation.
[4 marks]C
Error Analysis & Misconceptions
Identify and correct the common mistake in each of the following conversions.
1.
A student converts 33% to the fraction 33/100 and leaves it as is. Is this correct? If not, what is the mistake and the correct simplified form?
[2 marks]2.
A student writes 80% as 80/100 and forgets to simplify it to 4/5. Is this a mistake? Why or why not?
[2 marks]D
Mixed Review
Answer these varied questions involving percentages over 100.
1.
Convert 125% to a fraction and then to a decimal.
[2 marks]2.
Express 150% as a simplified fraction.
[2 marks]3.
A batch of cookies is increased by 250%. If the original batch had 40 cookies, how many cookies are in the new batch?
[3 marks]E
Challenge & Extension
Tackle these more advanced problems involving percentages and fractions.
1.
A value increases by 120%. If the initial value was £200, what is the final amount? Show conversion of percentage to fraction and the calculation.
[4 marks]2.
Prove that 150% can be simplified to 3/2 using fraction reduction.
[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