÷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
Name:
Date:
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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]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet