Sales: Challenge & Extension
Mathematics
GCSE Foundation
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet exploring percentage decrease in sales through procedural questions, real-world contexts, and challenging extension problems.
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Full preview • 13 questions
Sales: Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
A shop reduces the price of a jacket from £120 to £90. Calculate the percentage decrease in price.
[3 marks]2.
An item originally costs £80. After a discount, it is sold for £64. What is the percentage decrease?
[2 marks]3.
If a product's price drops by 15%, and the new price is £85.75, what was the original price?
[3 marks]B
Problem Solving & Reasoning
Answer each question with full working and explanation.
1.
A retailer reports that their sales of a product decreased by 30% last month. If the sales last month were 150 units, how many units were sold this month?
[3 marks]2.
A store's revenue from a particular item was £2000 last year. This year, due to a 10% decrease in sales volume and a 5% decrease in price, what is the new revenue? Show your working.
[4 marks]C
Real-world Applications
Solve the problems based on the context provided.
1.
A car dealership sold 120 cars last quarter. Due to the pandemic, sales dropped by 40%. How many cars were sold this quarter?
[3 marks]2.
A mobile phone is priced at £600. During a sale, it is reduced by 25%. What is the sale price?
[2 marks]D
Challenge & Extension
Attempt the more difficult problems. Show detailed working where required.
1.
After a price decrease of 20%, a product now costs £48. What was its original price? Confirm your answer by calculating the percentage decrease based on your result.
[4 marks]2.
A company’s sales decreased from £25,000 to £20,000 over a year. Calculate the percentage decrease in sales. Then, suggest two possible reasons for this decline.
[4 marks]E
Mixed Review
Answer the variety of questions below to consolidate your understanding.
1.
A jacket originally costs £150. It is on sale at 30% off. What is the discount amount and the sale price?
[4 marks]2.
A product's price has decreased from £100 to £70. Calculate the percentage decrease, then identify a common mistake students might make in this calculation.
[3 marks]F
Error Analysis
Review the following mistakes and correct them.
1.
A student calculates the percentage decrease as (£120 - £90)/£120 = 0.25 and then says it's 25%. Is this correct? If not, what is the mistake, and what should be the correct percentage?
[4 marks]2.
A student finds that decreasing a price from £200 to £150 is a 25% decrease. Is this correct? If not, find the error and the correct percentage decrease.
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet