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Percentage Challenge Worksheet

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Percentage Challenge Worksheet

Matariki celebration with 100 people

🎯 Part 1: Understanding Percentages

1. What does 100% mean?

Half of something

The whole thing or everyone

A small part

50 people

2. If 25% of 100 people wore red shirts to the Matariki performance, how many people is that?

Answer: _______ people

3. Fill in the missing percentages so they add up to 100%:

Children: 40%

Adults: 35%

Teenagers: _____%

4. Circle all the percentage groups that could add up to 100%:

30% + 40% + 30%

25% + 25% + 25% + 25%

60% + 50% + 10%

15% + 35% + 50%

🎭 Part 2: Matariki Performance Problem

Scenario: 100 people attended the Matariki performance at our school. Here's how they arrived:

5. Complete this table by working out how many people each percentage represents:

Arrived before 6:00 pm: 30% = _____ people

Arrived at 6:00-6:15 pm: 45% = _____ people

Arrived after 6:15 pm: 25% = _____ people

Check: Do your percentages add to 100%? _____ + _____ + _____ = _____%

6. Create your own percentage breakdown for what people brought to share:

Brought kai (food): ____% = _____ people

Brought drinks: ____% = _____ people

Brought nothing: ____% = _____ people

Total check: ____% (must equal 100%)

7. Which group was the largest in question 5? How do you know?

🌟 Part 3: Explain Your Thinking

8. Explain why all the percentages in a group must add up to 100%:
9. Challenge: Sarah says "60% of people wore traditional Māori clothing and 50% of people brought kai. That means 110% of people came prepared!" Is Sarah correct? Explain your thinking:
10. If 15% of the 100 people were kaumātua (elders), and 35% were tamariki (children), what percentage were adults? Show your working:

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