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Understanding Percentages Basics

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Understanding Percentages Basics

Understanding Percentages Basics

100s square grid showing percentages

📊 Part 1: What is a Percentage?

1. Fill in the blanks:

A percentage is a number out of ________. The symbol for percentage is ____.

2. Circle the correct answer:

50% means 50 out of 100

50% means 50 out of 50

50% means 50 out of 10

3. Draw and shade a 10×10 grid to show 25%:

🔄 Part 2: Converting Between Fractions, Decimals, and Percentages

4. Complete the table by filling in the missing values:

Fraction | Decimal | Percentage

1/2 | _______ | _______

_______ | 0.25 | _______

_______ | _______ | 75%

1/5 | _______ | _______

5. Show your working to convert 3/4 to a percentage:
6. Which of these are equivalent to 50%? Check all that apply:

1/2

0.5

5/10

0.05

50/100

🛒 Part 3: Real-Life Percentages

7. A rugby jersey costs $80. There is a 25% discount. How much money will you save?
8. In a survey of 100 students at a New Zealand school, 65% said they enjoy playing rugby. How many students is this?
9. Circle the best deal:

30% off a $60 item

25% off a $50 item

20% off a $40 item

10. A weather report says there is a 40% chance of rain in Auckland today. What does this mean?

🎯 Part 4: Problem Solving

11. Match each percentage with its equivalent fraction:
1. 20%
2. 10%
3. 75%
4. 60%
A. 3/4
B. 1/5
C. 3/5
D. 1/10
12. A class has 30 students. If 70% of them play a musical instrument, how many students play an instrument?
13. Draw a bar model to represent: "40% of students walk to school"

💭 Part 5: Reflection

14. Explain in your own words what a percentage is and give one real-life example:
15. Which method do you find easiest for converting fractions to percentages? Explain why:
16. True or False? Circle your answers:

True / False - 0.3 is the same as 30%

True / False - 1/4 is larger than 30%

True / False - 100% means the whole amount

True / False - You can have percentages larger than 100%

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