Percentage Change Practice Worksheet

Name:

Date:

📈 Part 1: Calculating Percentage Change

Instructions: Calculate the percentage increase or decrease. Show your working.

1. A shirt originally costs $40. The price increases to $46. Calculate the percentage increase.

2. The population of a town decreases from 8,500 to 7,650. Calculate the percentage decrease.

3. A car's value drops from $25,000 to $18,750. What is the percentage decrease?

4. The number of students in a club increases from 45 to 63. Find the percentage increase.

🔄 Part 2: Finding Original Values

Instructions: Find the original value before the percentage change occurred.

5. After a 15% increase, a laptop costs $920. What was the original price?

6. A book is on sale for $17.60 after a 20% discount. What was the original price?

7. Following a 12% decrease, a mobile phone plan costs $35.20 per month. What was the original monthly cost?

🏪 Part 3: Real-Life Word Problems

Instructions: Read each scenario carefully and solve the percentage change problems.

8. Sarah's weekly pocket money increased from $15 to $18. Her brother Tom's pocket money decreased from $20 to $16. Who had the greater percentage change in their pocket money?

9. A sports shop is having a sale. A rugby ball originally priced at $45 is reduced to $36. A cricket bat originally priced at $120 is reduced to $90. Which item has the greater percentage discount?

10. The temperature in Christchurch rose from 8°C to 14°C during the day. The temperature in Wellington fell from 16°C to 12°C. Calculate the percentage change in temperature for each city.

11. A bakery increased the price of pies by 25%. If pies now cost $6.25 each, what did they cost before the increase? If the bakery sells 80 pies per day, how much extra revenue do they make per day?