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Percentage Exploration Worksheet
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Percentage Exploration Worksheet
Solve each challenge. Show working for calculations and include units or dollar signs where needed. You may use equivalent fractions, decimals, or benchmark percentages.
Decode the percentages
Use the visual model and your number sense to get started.
1.A trail map app shows the fraction bar below as the part of a walking track already completed. What percentage of the track is complete?
2.Find 35% of 240. Show one efficient strategy, such as finding 10% and 5% first.
3.A school garden has 150 seedlings. If 18% are kūmara seedlings, how many kūmara seedlings are there?
Percentages out in the world
Use percentages to make decisions and explain what the numbers mean.
4.A rain jacket costs $120 at a shop in Aotearoa New Zealand. It is reduced by 25%. What is the sale price?
5.A reusable bottle costs $48. Its price increases by 12.5%. What is the new price?
6.At a sports festival, 72 of the 90 visitors try the climbing wall. What percentage of the visitors try it?
7.A quiz has 40 questions. Wiremu answers 34 correctly. What percentage does he get? Choose the correct answer.
- 65%
- 75%
- 85%
- 90%
8.A mountain-bike helmet is marked down from $160 to $124. What percentage discount is this?
9.A class survey finds that 60% of students cycle to school. Which statement must be true?
- Exactly 60 students cycle to school.
- For every 100 students, 60 cycle to school.
- There are 60 students in the class.
- The other 40% do not come to school.
Explain and create
Use a model or clear reasoning to show how you know.
10.Draw a fraction bar divided into 10 equal parts. Shade 30% and label the shaded and unshaded percentages.
11.Mere says, “20% of 350 is 70 because 10% is 35, so 20% is double that.” Explain why her reasoning works, then use it to find 40% of 350.
3 printable pages
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