After Decrease: Error Analysis & Misconceptions
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on errors and misconceptions related to calculating original amounts after a decrease. Designed for GCSE Higher students to develop procedural skills and understanding.
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After Decrease: 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.
A shop reduces the price of a jacket by 25%. The new price is £150. Calculate the original price of the jacket.
[3 marks]2.
A car's value decreases by 15%, and its current value is £17,000. Find its original value before the decrease.
[3 marks]3.
A calculator shows a price after a 10% discount as £90. What was the original price?
[3 marks]4.
A salary is decreased by 20%, and after the decrease, it is £48,000. What was the original salary?
[3 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working.
1.
A sports shop reduces the price of a bicycle by 30% and then offers a further 10% discount on the new price. If the final price is £420, find the original price.
[4 marks]2.
A mobile phone's price drops by 25%. After the reduction, the price is £300. If a customer initially bought it for £360, identify the mistake made in calculating the original price.
[4 marks]C
Real-world Applications
Answer all questions with clear explanations.
1.
A retailer claims they have reduced the prices of electronics by 40%. The current price of a tablet is £180. What was the original price before the reduction?
[3 marks]2.
A clothing store reduces the price of a jacket by 20%. The new price is £80. Explain the process to find the original price, then compute it.
[4 marks]D
Challenge & Extension
Attempt these more difficult questions. Show all working.
1.
A shopkeeper claims a 35% decrease in price resulted in a new price of £130. Students suspect a mistake. Verify if this is correct and, if not, find the correct original price.
[4 marks]2.
A product's after-decrease price is £84 after a 20% decrease. A customer argues that the original price was £100. Is this correct? Justify your answer.
[4 marks]E
Mixed Review & Error Analysis
Identify errors or misconceptions in each question and correct them.
1.
A student calculates the original price after a 25% decrease by dividing the final price (£150) by 0.75. Is this correct? If not, explain and provide the correct method.
[3 marks]2.
A shop claims a 50% discount, and the new price is £50. A student mistakenly calculates the original price as £100. Is this correct? Identify the mistake.
[2 marks]Quick Actions
What is Remix?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet