Circle Graphs
In this assessment, you will encounter a number of different questions that will assess both your understanding of mathematics and your ability to reason quantitatively.
Instructions
(Click to Read)
Do not use a calculator in this assessment. You shouldn’t need one to answer these questions, and the extra practice with arithmetic (long division, multi-digit multiplication, etc.) will just make you a better math student!
Once you input your answer, click on “Check” to see immediate feedback about the question, including an explanation. You can also skip the question and come back to it later.
You may encounter different types of questions:
- Multiple Choice
- You will see several answer choices, but only one will be correct.
- Select the correct answer choice.
- Free-Response (Open-Ended)
- You will not see any answer choices, and only one answer is correct.
- Type your answer into the space provided.
- For fractions, input your answer as “#/#” without the quotation marks, replacing the # with numbers. For example:
- to input an answer of \(\frac{1}{2}\), type “1/2” without the quotation marks.
- For decimals less than 1, input your answer with a leading zero. For example:
- to input an answer of \(0.5\), type “0.5” without the quotation marks.
- For whole numbers, just type the number into the space provided. For example:
- to input an answer of \(5\), type “5” without quotation marks.
- Check-the-Box
- You will see several answer choices, but one or more may be correct.
- Select all correct answer choices.
Tips
(Click to Read)
- These aren’t basic math questions – they’re tricky! Read closely and make sure you know what’s being asked.
- Do calculations on paper with a pencil. You don’t get extra credit for answering in your head!
Assessment Summary
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Question 1 of 20
1. Question
The circle graph below shows the distribution of the first \(5{,}000\) tickets sold for the Summer Olympics.
How many people bought tickets to watch Swimming?
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Question 2 of 20
2. Question
The circle graph below shows the distribution of the first \(5{,}000\) tickets sold for the Summer Olympics.
How many more tickets were purchased for Gymnastics and Track & Field combined than Water Polo and Swimming combined?
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Question 3 of 20
3. Question
The circle graph below shows the distribution of the first \(5{,}000\) tickets sold for the Summer Olympics.
Which sport has a central angle of \(54^{\circ}\)?
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Question 4 of 20
4. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
The circle graph below shows the distribution of the first \(5{,}000\) tickets sold for the Summer Olympics.
Ā
Column A
The central angle of the portion of the graph that is represented by Volleyball and Water Polo combined, in degrees
Column B
\(22\)
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Question 5 of 20
5. Question
A travel agency published the most popular travel destinations (by continent) outside of North America in the graph below.
If \(336\) people traveled to Australia, how many people are represented by the circle graph in total?
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Question 6 of 20
6. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
A travel agency published the most popular travel destinations (by continent) outside of North America in the graph below.
Column A
The central angle of the portion of the graph represented by South America and Australia combined, in degrees
Column B
\(77\)
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Question 7 of 20
7. Question
A travel agency published the most popular travel destinations (by continent) outside of North America in the graph below.
Which continent is represented by a central angle of \(32.4^{\circ}\)?
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Question 8 of 20
8. Question
A travel agency published the most popular travel destinations (by continent) outside of North America in the graph below.
If the graph represents a total of \(5{,}000\) people, how many people went to Antarctica?
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Question 9 of 20
9. Question
A group of \(36\) co-workers took a vote to see what kind of food they would order for lunch. \(9\) chose Italian. A circle graph was made using the data. What is the central angle of the portion of the graph that represents Italian food?
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Question 10 of 20
10. Question
In a \(24\) hour period, Alexis spent \(40\)% of her time sleeping, \(8\)% eating, \(12\)% watching TV, \(34\)% working and \(6\)% exercising. Which of the following circle graphs represents how Alexis spent her day?
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Question 11 of 20
11. Question
The circle graph below shows the least favorite vegetable of \(120\) seventh graders.
The portion labeled Cauliflower has a central angle of \(45^{\circ}\). How many of the \(120\) seventh graders chose Cauliflower as their least favorite vegetable?
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Question 12 of 20
12. Question
Which circle graph shows the same set of data as the table below?
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Question 13 of 20
13. Question
The table below shows the favorite sport to watch on TV for a group of \(200\) students.
On a circle graph, which sport has a central angle of \(72^{\circ}\)?
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Question 14 of 20
14. Question
The circle graph below shows the most popular car colors amongst \(150\) high school students.
Which table could show the same data?
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Question 15 of 20
15. Question
Emme is making a circle graph to represent her favorite subjects at school. The section of the graph labeled Math has a central angle of \(120\) degrees. If \(9\) students state that English is their favorite subject, and this accounts for 25% of all students, how many students like Math the most?
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Question 16 of 20
16. Question
The table shows the favorite brand of sneakers for all of the students in a schoolās 7th grade class. The data for Brand F is missing.
A circle graph (not pictured) is made from the data. If the central angle of the portion of the graph representing Brand B is \(60.5^{\circ}\), how many students chose Brand F as their favorite brand?
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Question 17 of 20
17. Question
Laurie swam \(180{,}000\) yards in the month of June. During the first ten days, she swam \(\frac{1}{5}\) of the total amount. What is the central angle of the portion of the graph that represents how far she swam in the first ten days of the month?
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Question 18 of 20
18. Question
Using the information given, compare the quantity in Column A to the quantity in Column B.
A circle graph (not pictured) shows the results of a poll that asks students what their favorite month of the year is. \(90\) students chose the month of July.
Column A If the central angle representing July is \(270^{\circ}\), the number of students who took the poll
Column B \(150\)
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Question 19 of 20
19. Question
A circle graph (not pictured) is divided into five sections. If the degree measure of the central angles are in the ratio of \(1:2:2:3:4\), what is the degree measure of the second largest angle?
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Question 20 of 20
20. Question
Margot is making a circle graph to represent the most popular types of cookies that her charity sold last month as a fundraiser. Lemon cookies take up \(\frac{1}{4}\) of the circle and chocolate chip cookies take up \(\frac{1}{6}\) of the circle. How many more degrees is the central angle of the portion that represents lemon cookies than chocolate chip cookies?
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