÷100: Error Analysis & Misconceptions
Mathematics
GCSE Higher
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on ÷100, exploring common misconceptions, error analysis, and applied problems to deepen understanding for GCSE Higher students.
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÷100: 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 750 ÷ 100 and write the answer in decimal form.
[2 marks]2.
Express 0.36 as a percentage and then convert back to a decimal using ÷100.
[3 marks]3.
A price is increased by 15% to £115. Find the original price by dividing the increase amount by 100 and adjusting accordingly.
[4 marks]4.
Simplify: 480 ÷ 100.
[2 marks]B
Targeted Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Convert 0.85 to a percentage and then divide by 100 to find the decimal form.
[3 marks]2.
A student states that dividing by 100 always results in a number less than 1. Is this true? Explain your reasoning.
[4 marks]3.
Calculate 1250 ÷ 100.
[2 marks]4.
A discount of 20% is applied to a £50 item. Find the amount after applying ÷100 to the percentage to compute the discount.
[4 marks]5.
Express 0.005 as a percentage, then divide by 100.
[3 marks]C
Error Analysis & Misconceptions
Review the common mistake shown and identify the error. Correct the calculation.
1.
Incorrect calculation: 250 ÷ 100 = 2.5 (incorrectly written as 25). Identify and correct the mistake.
[2 marks]2.
A student multiplies a number by 100 instead of dividing. Example: 4 × 100 = 400, instead of 4 ÷ 100. Explain why this is incorrect for ÷100.
[4 marks]D
Challenging & Extension
Attempt these more difficult problems involving ÷100.
1.
A price of €150 increases by 12.5%. Find the original price by dividing the increase percentage by 100 and adjusting accordingly.
[5 marks]2.
Construct a triangle with side lengths (in cm) of 3, 4, and 5. Using the grid, scale all sides by dividing each length by 100 and draw the scaled triangle.
[5 marks]E
Mixed Review
Solve these varied questions on ÷100 to consolidate your understanding.
1.
Divide 9800 by 100 and state the result.
[2 marks]2.
Convert 0.009 to a percentage and then to a decimal after dividing by 100.
[4 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