Mastering Percentages: Increase/Decrease

Mathematics
Year 9
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About This Worksheet

A worksheet covering Percentages: Increase/Decrease, focusing on ratio, proportion, and rates of change for Year 9 students.

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Mastering Percentages: Increase/Decrease

Subject: MathematicsGrade: Year 9
Name:
Date:

Untitled Worksheet

Grade Year 9
A

Introduction

Review the key formula: Percentage change = (New value - Original value) / Original value × 100%. Use this to solve the following questions.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
A jacket originally costs £80. During a sale, it is reduced by 15%. What is the sale price?
[2 marks]
2.
A car's value decreases from £12,000 to £10,800. Calculate the percentage decrease.
[2 marks]
3.
A student scores 72 marks out of 80 in a test. What percentage did they achieve?
[2 marks]
4.
A shop increases the price of a laptop from £500 to £550. What is the percentage increase?
[2 marks]
5.
A factory produces 200 units of a product daily. Due to improvements, production increases by 12%. How many units are now produced daily?
[2 marks]
6.
A phone's battery lasts 10 hours. After an update, it lasts 20% longer. How many hours does the battery last now?
[2 marks]
7.
If a recipe that serves 4 people costs £8, what is the cost per person? If the number of servings increases to 6, what is the new cost per person assuming the total cost remains the same?
[3 marks]
8.
A company's revenue increases from £50,000 to £65,000 in a year. What is the percentage increase?
[2 marks]
9.
A bicycle that costs £300 is discounted by 25%. What is the sale price?
[2 marks]
10.
A stock's value drops from £150 to £120. Calculate the percentage decrease.
[2 marks]
11.
A car travels 180 miles on 6 gallons of fuel. What is the car's miles per gallon (mpg)?
[2 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet