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Percentage Challenge Worksheet

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Percentage Challenge Worksheet

Read each question carefully. Show your working where asked. Percentages in a group describe parts of the same whole.

Understanding Percentages

1.At a stargazing night, what does 100% of the visitors mean?

One half of the visitors
All of the visitors
A small group of visitors
Exactly 100 visitors

2.There are 100 people at the stargazing night. If 25% look through a telescope, how many people is that?

3.At a stargazing night, 40% of visitors are children and 35% are adults. What percentage are teenagers if these are the only three groups?

4.Select every set of percentages that totals 100%.

20% + 30% + 50%
25% + 25% + 25% + 25%
40% + 40% + 30%
10% + 35% + 55%

A Stargazing Night

There are 100 people at the stargazing night. The arrival times are grouped below.

5.Work out how many people arrived in each time group. Then check that the three percentages total 100%.

Before 7:00 pm — 30% = _____ people

7:00–7:15 pm — 45% = _____ people

After 7:15 pm — 25% = _____ people

Check: _____% + _____% + _____% = _____%

6.Freya is planning what visitors might bring to the stargazing night. Make a four-part percentage breakdown for 100 visitors: people bringing kai only, people bringing drinks only, people bringing both kai and drinks, and people bringing neither. Your percentages must total 100%.

7.Which arrival-time group in the table had the most people? Explain how you can tell.

Explain Your Thinking

8.Explain why the percentages for all the parts of one complete group add up to 100%.

9.Charlotte says, “60% of visitors looked through a telescope and 50% brought kai, so 110% of visitors came prepared.” Is her conclusion correct? Explain why or why not.

10.At the stargazing night, 15% of the visitors are kaumātua and 35% are tamariki. The rest are adults. What percentage are adults? Show your calculation.