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Percentage Foundations Worksheet

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Percentage Foundations Worksheet worksheet preview

Percentage Foundations Worksheet

Percentage grid illustration

📊 Part 1: Converting to Percentages

1. Convert these fractions to percentages:

a) 1/2 = _______%

b) 3/4 = _______%

c) 2/5 = _______%

d) 7/10 = _______%

2. Convert these decimals to percentages:

a) 0.25 = _______%

b) 0.8 = _______%

c) 0.125 = _______%

d) 0.03 = _______%

3. Which percentage represents the complete whole?

10%

50%

100%

1000%

🎯 Part 2: Visual Representation & Real-World Applications

4. Using a 10×10 grid, how many squares would you colour to show:

a) 30% = _______ squares

b) 65% = _______ squares

c) 8% = _______ squares

5. A jacket originally costs $120. It's on sale for 25% off. What is the discount amount?

Discount = $__________

6. In a survey of 200 Australian students, 65% said they enjoy mathematics. How many students is this?

Number of students = __________

7. A recipe calls for 250g of flour, but you only have 80% of the required amount. How much flour do you have?

Amount of flour = __________ grams

🚀 Part 3: Extension & Reasoning

8. Convert 1/3 to a percentage. What do you notice about the decimal?
9. If 40% of a class are boys, what percentage are girls? Explain your reasoning.
10. A shop increases prices by 15%, then offers a 15% discount. Is the final price the same as the original? Explain why or why not.
11. Challenge: Express 0.375 as both a fraction and a percentage. Show your working.

Fraction: __________ Percentage: __________%

📋 Answer Sheet

Part 1: Converting to Percentages

1. a) 50% b) 75% c) 40% d) 70%

2. a) 25% b) 80% c) 12.5% d) 3%

3. 100% (third option)

Part 2: Visual Representation & Real-World Applications

4. a) 30 squares b) 65 squares c) 8 squares

5. $120 × 0.25 = $30 discount

6. 200 × 0.65 = 130 students

7. 250g × 0.8 = 200 grams

Part 3: Extension & Reasoning

8. 1/3 = 33.333...% (33⅓%). The decimal repeats (recurring decimal).

9. 60% are girls. Since boys and girls make up 100% of the class, 100% - 40% = 60%.

10. No, the final price is higher. Example: $100 → $115 (after 15% increase) → $97.75 (after 15% discount). The percentages apply to different base amounts.

11. 0.375 = 375/1000 = 3/8 (simplified); 0.375 × 100 = 37.5%

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