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Understanding Percentages Worksheet

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Understanding Percentages Worksheet worksheet preview

Understanding Percentages Worksheet

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📊 The Survey

Year 5 students at Banksia Primary School were asked: "What is your favourite after-school snack?" A total of 100 students were surveyed. Here are the results:

Snack Number of Students Percentage
Fruit 35 35%
Crackers & Cheese 25 25%
Yoghurt 20 20%
Chips 15 15%
Other 5 5%

🔍 Part 1: Interpret the Survey

1. Which snack was the most popular? How do you know?
2. What percentage of students chose either Yoghurt or Chips?
3. Do all the percentages in the table add up to 100%? Show your working.
4. Which two snacks together were chosen by exactly half (50%) of all students?

_________________________________________ and _________________________________________

🔢 Part 2: Convert and Calculate

5. Write the percentage of students who chose Fruit as a fraction and a decimal. The first one has been started for you.

Percentage: 35%     Fraction: 35/100 = _________     Decimal: _________

6. Write the percentage of students who chose Chips as a fraction in its simplest form.

Percentage: 15%     Fraction: 15/100 = _________

7. Complete the table by converting each percentage to a decimal.
Snack Percentage Decimal
Crackers & Cheese 25%  
Yoghurt 20%  
Other 5%  
8. The same survey was given to 200 students at another school and the results were the same. How many students at this school would have chosen Fruit? Show your working.
9. A school canteen has $200 to spend on snacks. If they spend 35% on fruit, how much money is spent on fruit? Show your working.
10. Challenge! If 40 out of 200 students chose Chips, is that the same percentage as in the original survey? Explain your answer.

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