Pie Graph Worksheets - Free Printable
Educational worksheet: Pie Graph Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Pie Graph Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Pie Graph Worksheets
Let’s solve this step by step.
We are told that Coach Maria surveyed 200 students about their favorite sport, and the results are shown in a pie graph. The pie graph has these sections:
- Baseball: 40%
- Soccer: 30%
- Tennis: 15%
- Volleyball: 10%
- Other: 5%
(We can check: 40 + 30 + 15 + 10 + 5 = 100% → correct.)
Now let’s answer each question one by one.
---
Question 1: How many students said their favorite sport is soccer?
Soccer is 30% of 200 students.
To find 30% of 200:
→ 30% = 30/100 = 0.3
→ 0.3 × 200 = 60
✔ So, 60 students chose soccer.
---
Question 2: Which sport was the least favorite among the students?
Look at the percentages:
- Baseball: 40%
- Soccer: 30%
- Tennis: 15%
- Volleyball: 10%
- Other: 5% ← smallest!
But note: “Other” is not a specific sport — it’s a category for sports not listed. The question asks for “which sport”, so we should pick the *named* sport with the lowest percentage.
Among named sports:
- Volleyball: 10% ← lowest named sport
Wait — but “Other” is 5%, which is lower. However, since “Other” isn’t a single sport, and the question says “which sport”, we should go with the actual sport that got the fewest votes.
Looking again: Volleyball is 10%, Tennis is 15%, etc. So Volleyball is the least favorite *specific sport*.
But let’s double-check the problem wording: “Which sport was the least favorite among the students?”
If “Other” includes multiple small sports, then no single sport in “Other” may have more than 5%. But since we don’t know what’s in “Other”, and the question likely expects us to pick from the labeled slices, and “Volleyball” is the smallest labeled *sport*, we’ll go with that.
Actually — wait! Let’s look at the pie chart description again (from your text):
It says:
> Baseball 40%
> Soccer 30%
> Tennis 15%
> Volleyball 10%
> Other 5%
So “Other” is 5%, which is less than Volleyball’s 10%. But “Other” is not a sport — it’s a group. So if the question is asking for a *sport*, then Volleyball is the answer. If it allows “Other”, then “Other” is smaller.
But in school problems like this, when they say “which sport”, they usually mean among the named sports. Also, looking at Question 4: “Which sport was the most popular?” — that’s clearly Baseball (40%). So for consistency, “least favorite sport” probably means the named sport with the smallest %.
Thus: Volleyball (10%) is the least favorite *named* sport.
But hold on — let’s see Question 3: “How many students chose tennis or volleyball?” — that implies tennis and volleyball are both considered sports. And “Other” is separate.
Also, in Question 5: “How many students chose a sport other than baseball?” — that suggests “other than baseball” includes soccer, tennis, volleyball, and other.
So perhaps for Question 2, “least favorite sport” could be interpreted as the category with the smallest %, even if it’s “Other”. But “Other” isn’t a sport.
I think the safest answer is Volleyball, because it’s the smallest *actual sport* listed.
But let me check standard interpretation: In many textbooks, if “Other” is included and it’s smaller, they might still expect you to say “Other” — but only if the question says “category” or “group”. Here it says “sport”.
Looking back at the original user input: the pie graph labels include “Other” as a slice, but the questions refer to “sport”.
In Question 4: “Which sport was the most popular?” — answer is Baseball (40%), which is fine.
For Question 2: “Which sport was the least favorite?” — if we take “sport” literally, then “Other” doesn’t count, so Volleyball (10%) is the answer.
But let’s calculate the number for “Other”: 5% of 200 = 10 students. That’s fewer than Volleyball’s 20 students (10% of 200). So if “Other” represents one sport, it would be least favorite — but it likely represents multiple.
Given ambiguity, I think the intended answer is Volleyball, as it’s the smallest named sport.
Wait — actually, let’s look at the exact wording of all questions together.
Perhaps I should proceed and see if later questions clarify.
---
Question 3: How many students chose tennis or volleyball?
Tennis: 15%
Volleyball: 10%
Total: 15% + 10% = 25%
25% of 200 = 0.25 × 200 = 50
✔ So, 50 students chose tennis or volleyball.
---
Question 4: Which sport was the most popular?
Baseball: 40% — highest percentage.
✔ So, Baseball was the most popular.
---
Question 5: How many students chose a sport other than baseball?
Baseball is 40%, so other than baseball is 100% - 40% = 60%
60% of 200 = 0.6 × 200 = 120
Alternatively: total students minus baseball students.
Baseball: 40% of 200 = 80 students
200 - 80 = 120
✔ So, 120 students chose a sport other than baseball.
---
Now back to Question 2.
Given that Question 5 uses “a sport other than baseball” to mean all non-baseball categories (including “Other”), it suggests that “Other” is considered part of the sports choices.
But for Question 2: “Which sport was the least favorite?”
If we interpret strictly, “Other” is not a sport, so we should pick the named sport with the smallest %: Volleyball at 10%.
However, in some contexts, “Other” might be accepted as an answer if it’s the smallest slice.
But let’s think: if “Other” is 5%, and it’s made up of several tiny sports, then no single sport in “Other” is larger than 5%, so technically, any sport in “Other” would be less favorite than Volleyball. But since we don’t know, and the question likely wants a label from the chart, and “Volleyball” is explicitly labeled as a sport, I think Volleyball is the expected answer.
To confirm, let’s see the numbers:
- Baseball: 80 students
- Soccer: 60
- Tennis: 30 (15% of 200)
- Volleyball: 20 (10% of 200)
- Other: 10 (5% of 200)
So Volleyball has 20 students, Other has 10. But “Other” isn’t a sport.
I recall that in many such problems, if “Other” is present and smaller, they still ask for the named sport. For example, “which fruit is least popular?” and if “other fruits” is a category, they want the named fruit with smallest %.
Moreover, in Question 3, they combine tennis and volleyball, implying those are distinct sports.
So I’ll go with Volleyball for Question 2.
But let me check online or standard practice — since I can’t, I’ll rely on logic.
Another way: the question says “among the students”, and the pie chart shows categories. Perhaps “Other” is acceptable.
Wait — look at the first sentence: “Coach Maria surveyed 200 students about their favorite sport” — so each student picked one favorite sport. The “Other” category means their favorite sport is not one of the four listed, but it’s still a sport. So “Other” represents students whose favorite sport is something else, like basketball, hockey, etc.
Therefore, “Other” is not a sport; it’s a collection of sports. So when asked “which sport”, we cannot say “Other” because it’s not a single sport.
Hence, the least favorite *specific sport* is Volleyball.
Yes, that makes sense.
So final answers:
1. 60
2. Volleyball
3. 50
4. Baseball
5. 120
Let me write them clearly.
Final Answer:
1. 60
2. Volleyball
3. 50
4. Baseball
5. 120
We are told that Coach Maria surveyed 200 students about their favorite sport, and the results are shown in a pie graph. The pie graph has these sections:
- Baseball: 40%
- Soccer: 30%
- Tennis: 15%
- Volleyball: 10%
- Other: 5%
(We can check: 40 + 30 + 15 + 10 + 5 = 100% → correct.)
Now let’s answer each question one by one.
---
Question 1: How many students said their favorite sport is soccer?
Soccer is 30% of 200 students.
To find 30% of 200:
→ 30% = 30/100 = 0.3
→ 0.3 × 200 = 60
✔ So, 60 students chose soccer.
---
Question 2: Which sport was the least favorite among the students?
Look at the percentages:
- Baseball: 40%
- Soccer: 30%
- Tennis: 15%
- Volleyball: 10%
- Other: 5% ← smallest!
But note: “Other” is not a specific sport — it’s a category for sports not listed. The question asks for “which sport”, so we should pick the *named* sport with the lowest percentage.
Among named sports:
- Volleyball: 10% ← lowest named sport
Wait — but “Other” is 5%, which is lower. However, since “Other” isn’t a single sport, and the question says “which sport”, we should go with the actual sport that got the fewest votes.
Looking again: Volleyball is 10%, Tennis is 15%, etc. So Volleyball is the least favorite *specific sport*.
But let’s double-check the problem wording: “Which sport was the least favorite among the students?”
If “Other” includes multiple small sports, then no single sport in “Other” may have more than 5%. But since we don’t know what’s in “Other”, and the question likely expects us to pick from the labeled slices, and “Volleyball” is the smallest labeled *sport*, we’ll go with that.
Actually — wait! Let’s look at the pie chart description again (from your text):
It says:
> Baseball 40%
> Soccer 30%
> Tennis 15%
> Volleyball 10%
> Other 5%
So “Other” is 5%, which is less than Volleyball’s 10%. But “Other” is not a sport — it’s a group. So if the question is asking for a *sport*, then Volleyball is the answer. If it allows “Other”, then “Other” is smaller.
But in school problems like this, when they say “which sport”, they usually mean among the named sports. Also, looking at Question 4: “Which sport was the most popular?” — that’s clearly Baseball (40%). So for consistency, “least favorite sport” probably means the named sport with the smallest %.
Thus: Volleyball (10%) is the least favorite *named* sport.
But hold on — let’s see Question 3: “How many students chose tennis or volleyball?” — that implies tennis and volleyball are both considered sports. And “Other” is separate.
Also, in Question 5: “How many students chose a sport other than baseball?” — that suggests “other than baseball” includes soccer, tennis, volleyball, and other.
So perhaps for Question 2, “least favorite sport” could be interpreted as the category with the smallest %, even if it’s “Other”. But “Other” isn’t a sport.
I think the safest answer is Volleyball, because it’s the smallest *actual sport* listed.
But let me check standard interpretation: In many textbooks, if “Other” is included and it’s smaller, they might still expect you to say “Other” — but only if the question says “category” or “group”. Here it says “sport”.
Looking back at the original user input: the pie graph labels include “Other” as a slice, but the questions refer to “sport”.
In Question 4: “Which sport was the most popular?” — answer is Baseball (40%), which is fine.
For Question 2: “Which sport was the least favorite?” — if we take “sport” literally, then “Other” doesn’t count, so Volleyball (10%) is the answer.
But let’s calculate the number for “Other”: 5% of 200 = 10 students. That’s fewer than Volleyball’s 20 students (10% of 200). So if “Other” represents one sport, it would be least favorite — but it likely represents multiple.
Given ambiguity, I think the intended answer is Volleyball, as it’s the smallest named sport.
Wait — actually, let’s look at the exact wording of all questions together.
Perhaps I should proceed and see if later questions clarify.
---
Question 3: How many students chose tennis or volleyball?
Tennis: 15%
Volleyball: 10%
Total: 15% + 10% = 25%
25% of 200 = 0.25 × 200 = 50
✔ So, 50 students chose tennis or volleyball.
---
Question 4: Which sport was the most popular?
Baseball: 40% — highest percentage.
✔ So, Baseball was the most popular.
---
Question 5: How many students chose a sport other than baseball?
Baseball is 40%, so other than baseball is 100% - 40% = 60%
60% of 200 = 0.6 × 200 = 120
Alternatively: total students minus baseball students.
Baseball: 40% of 200 = 80 students
200 - 80 = 120
✔ So, 120 students chose a sport other than baseball.
---
Now back to Question 2.
Given that Question 5 uses “a sport other than baseball” to mean all non-baseball categories (including “Other”), it suggests that “Other” is considered part of the sports choices.
But for Question 2: “Which sport was the least favorite?”
If we interpret strictly, “Other” is not a sport, so we should pick the named sport with the smallest %: Volleyball at 10%.
However, in some contexts, “Other” might be accepted as an answer if it’s the smallest slice.
But let’s think: if “Other” is 5%, and it’s made up of several tiny sports, then no single sport in “Other” is larger than 5%, so technically, any sport in “Other” would be less favorite than Volleyball. But since we don’t know, and the question likely wants a label from the chart, and “Volleyball” is explicitly labeled as a sport, I think Volleyball is the expected answer.
To confirm, let’s see the numbers:
- Baseball: 80 students
- Soccer: 60
- Tennis: 30 (15% of 200)
- Volleyball: 20 (10% of 200)
- Other: 10 (5% of 200)
So Volleyball has 20 students, Other has 10. But “Other” isn’t a sport.
I recall that in many such problems, if “Other” is present and smaller, they still ask for the named sport. For example, “which fruit is least popular?” and if “other fruits” is a category, they want the named fruit with smallest %.
Moreover, in Question 3, they combine tennis and volleyball, implying those are distinct sports.
So I’ll go with Volleyball for Question 2.
But let me check online or standard practice — since I can’t, I’ll rely on logic.
Another way: the question says “among the students”, and the pie chart shows categories. Perhaps “Other” is acceptable.
Wait — look at the first sentence: “Coach Maria surveyed 200 students about their favorite sport” — so each student picked one favorite sport. The “Other” category means their favorite sport is not one of the four listed, but it’s still a sport. So “Other” represents students whose favorite sport is something else, like basketball, hockey, etc.
Therefore, “Other” is not a sport; it’s a collection of sports. So when asked “which sport”, we cannot say “Other” because it’s not a single sport.
Hence, the least favorite *specific sport* is Volleyball.
Yes, that makes sense.
So final answers:
1. 60
2. Volleyball
3. 50
4. Baseball
5. 120
Let me write them clearly.
Final Answer:
1. 60
2. Volleyball
3. 50
4. Baseball
5. 120
Parent Tip: Review the logic above to help your child master the concept of circle graph worksheet pdf.