Discounts: Problem Solving & Reasoning
Mathematics
Year 9
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on applying percentage decrease concepts to discounts through various problem-solving scenarios and reasoning exercises.
Worksheet Preview
Full preview • 13 questions
Discounts: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Introduction
A discount reduces the original price by a certain percentage. To find the sale price after discount, multiply the original price by (100% - discount%) and divide by 100%. The formula is: Sale Price = Original Price × (1 - Discount%/100).
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the discount amount on an item originally costing £80 if it is reduced by 15%.
[2 marks]2.
What is the sale price of a jacket originally costing £120 after a 20% discount?
[2 marks]3.
A laptop is listed at £1000. During a sale, it is offered at a 25% discount. Calculate the final sale price.
[2 marks]4.
Construct a triangle on the grid with a base of 6 units and a height of 4 units, then shade the region representing a 10% discount reduction on the length of the base.
[3 marks]5.
A bicycle originally costs £350. It is on sale with a 12% discount. Calculate the amount saved and the final price.
[3 marks]6.
A shop offers a 30% discount on a pair of shoes. If the sale price is £49.60, what was the original price?
[3 marks]7.
A store owner admits that a 15% discount was incorrectly applied, resulting in a final price of £85.50. What should have been the original price?
[3 marks]8.
A product was discounted by 20%. If the original price was £50, what is the discounted price? Show your working.
[2 marks]9.
A jacket is discounted by 35%, and the final sale price is £65. What was the original price? Explain your reasoning.
[4 marks]10.
A store advertises a 50% discount on a handbag, reducing its price from £120 to a new price. What is the new price? Then, verify if the discount percentage is correct.
[4 marks]11.
A customer mistakenly applies a 10% discount twice on a £200 item, instead of a single 20% discount. Which method results in a lower price, and by how much?
[4 marks]12.
A clothing store offers a 25% discount during a clearance sale. A customer buys three items costing £40, £60, and £80 respectively. Calculate the total amount paid after discounts.
[4 marks]13.
Error Analysis: A student calculates the sale price of an item costing £100 with a 20% discount, but their answer is £78. Identify and explain the mistake.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet