Mastering Percentages Worksheet

Name:

Date:

Percentage symbols and mathematical calculations

📊 Part 1: Basic Percentage Calculations

1. Calculate the following percentages:

a) 25% of $480 = $__________

b) 15% of 320 kg = __________ kg

c) 8% of 2.5 kilometres = __________ metres

2. Convert these percentages to decimals and fractions (in simplest form):

3. A jacket originally costs $85. It is reduced by 30%. What is the sale price?

$25.50

$55.00

$59.50

$110.50

4. Sarah scored 42 out of 60 marks on her test. What percentage did she achieve?

Sarah's percentage score: __________%

📈 Part 2: Percentage Change and Word Problems

5. The population of a town increased from 15,000 to 18,300 over five years. Calculate the percentage increase.

6. A computer store is having a sale. Which items have the correct sale prices calculated? (Tick all that apply)

Laptop: $800 with 20% off = $640

Mouse: $45 with 15% off = $38.25

Keyboard: $120 with 25% off = $95

Monitor: $350 with 12% off = $308

7. James bought a car for $12,000. After two years, its value decreased by 35%. He then sold it and the new owner increased its value by 20% through repairs. What is the final value of the car?

8. In a school survey, 68% of 450 students preferred online learning. How many students was this, and how many preferred traditional classroom learning?

Students preferring online learning: __________

Students preferring traditional learning: __________

🧮 Part 3: Problem Solving

9. A shop adds 15% GST to all prices. If the final price of an item is $92, what was the original price before GST?

10. Emma saves 18% of her weekly income of $520. After 6 months (26 weeks), she wants to buy a bicycle costing $2,100. Will she have enough money? Show your working and explain your answer.