Percentage Fraction Decimal Conversions

Name:

Date:

🎯 Part 1: Basic Conversions

1. Convert these percentages to fractions in their simplest form:

a) 25% = _______

b) 60% = _______

c) 12.5% = _______

d) 150% = _______

2. Convert these percentages to decimals:

a) 35% = _______

b) 8% = _______

c) 125% = _______

d) 0.5% = _______

3. Convert these fractions to percentages:

a) 3/4 = _______

b) 1/8 = _______

c) 2/3 = _______ (to 1 decimal place)

d) 5/4 = _______

4. Convert these decimals to percentages:

a) 0.45 = _______

b) 0.03 = _______

c) 1.2 = _______

d) 0.875 = _______

💰 Part 2: Real-World Applications

5. A jacket originally costs $80. It's on sale for 25% off. Calculate the sale price.

Sale price: $________

6. Sarah scored 34 out of 40 on her maths test. What percentage did she achieve?

Percentage: _______%

7. A restaurant bill is $45. If you want to leave a 15% tip, how much will you pay in total?

Total amount: $________

8. The population of a town increased by 12% from 8,500 people. What is the new population?

New population: ________ people

🧠 Part 3: Extension Challenge

9. Advanced Problem: In a sale, a computer is reduced by 20%, then the sale price is further reduced by 15%. If the final price is $680, what was the original price?

Original price: $________

10. Reasoning: Explain why multiplying by 0.85 gives the same result as finding 85% of a number.

11. Problem Solving: A shop increases all prices by 20%, then offers a "20% off everything" sale. Are the prices back to their original amounts? Justify your answer with calculations.