Pie Charts - GED Math
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The above represents the results of a student council election at Jefferson High. According to the results, the top three finishers will be awarded seats on the student council.
Which two did not win a seat on the student council?
The above represents the results of a student council election at Jefferson High. According to the results, the top three finishers will be awarded seats on the student council.
Which two did not win a seat on the student council?
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The wedges, in descending order by size, are those representing Hall, Lamont, Johns, Franklin, Carson. Hall, Lamont, and Johns were elected to the student council, so the correct choice is Franklin and Carson.
The wedges, in descending order by size, are those representing Hall, Lamont, Johns, Franklin, Carson. Hall, Lamont, and Johns were elected to the student council, so the correct choice is Franklin and Carson.
Refer to the above circle graph.
To the nearest whole percent, what percent of the students voted for the most popular candidate?
Refer to the above circle graph.
To the nearest whole percent, what percent of the students voted for the most popular candidate?
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The highest vote-getter was Zimmerman, who got 512 votes; this is the part. The whole is the number of persons who voted, which is the sum:
The percent can be found by calculating:
The highest vote-getter was Zimmerman, who got 512 votes; this is the part. The whole is the number of persons who voted, which is the sum:
The percent can be found by calculating:
The above circle graph shows the results of a student body election. By the rules, if no candidate wins more than 50% of the vote, there will be a runoff between the top two finishers.
Which of the following questions cannot be answered about the election by examining the above graph?
The above circle graph shows the results of a student body election. By the rules, if no candidate wins more than 50% of the vote, there will be a runoff between the top two finishers.
Which of the following questions cannot be answered about the election by examining the above graph?
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Ullman's percent of the vote can be calculated by dividing 133 by the sum of the voters of the five candidates. Vickers' number can be subtracted from Willams' number to determine the difference. The two participants in the runoff can be easily seen to be Zimmerman and Williams as they won the most and second-most votes.
However, the question "How many students did not vote?" cannot be answered as the graph only shows the students who did.
Ullman's percent of the vote can be calculated by dividing 133 by the sum of the voters of the five candidates. Vickers' number can be subtracted from Willams' number to determine the difference. The two participants in the runoff can be easily seen to be Zimmerman and Williams as they won the most and second-most votes.
However, the question "How many students did not vote?" cannot be answered as the graph only shows the students who did.
Approximately what percent of respondents prefers McDonald's?
Approximately what percent of respondents prefers McDonald's?
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The percentage of respondents who answered McDonald's is between 
and 
based on the size of the sector in the pie chart. There is only one answer choice that falls within these guidelines: 
The percentage of respondents who answered McDonald's is between
The above graph represents the results of the student body election at Big State College. According to the rules, if a candidate receives over 50% of the vote, (s)he will win outright. If no candidate receives over 50% of the vote, there will be a runoff election between the top two finishers.
Which of the following is the result of the election?
The above graph represents the results of the student body election at Big State College. According to the rules, if a candidate receives over 50% of the vote, (s)he will win outright. If no candidate receives over 50% of the vote, there will be a runoff election between the top two finishers.
Which of the following is the result of the election?
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The largest wedge of the circle graph is green, which, according to the legend, represents Hall. However, it is less than half of the graph, so he did not win outright. He will face his most successful opponent - Lamont, whose bright blue wedge is the second-largest (though not by much) - in a runoff.
The largest wedge of the circle graph is green, which, according to the legend, represents Hall. However, it is less than half of the graph, so he did not win outright. He will face his most successful opponent - Lamont, whose bright blue wedge is the second-largest (though not by much) - in a runoff.
The above graph represents the results of the senior class election at Washington High. According to the rules, the candidate who receives the most votes will become the class president; the candidate who finishes second will become the class vice-president; the candidate who finishes third will become the class secretary-treasurer.
Who will be the secretary-treasurer?
The above graph represents the results of the senior class election at Washington High. According to the rules, the candidate who receives the most votes will become the class president; the candidate who finishes second will become the class vice-president; the candidate who finishes third will become the class secretary-treasurer.
Who will be the secretary-treasurer?
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The wedges, in descending order by size, are those representing Hall, Lamont, Johns, Franklin, Carson. Johns, therefore, finished third, and will be the secretary-treasurer.
The wedges, in descending order by size, are those representing Hall, Lamont, Johns, Franklin, Carson. Johns, therefore, finished third, and will be the secretary-treasurer.
The above graph represents the results of a general election for mayor of Kingston.
If 8,488 people voted for Hall, then which comes closest to the number of people who did not vote for him?
The above graph represents the results of a general election for mayor of Kingston.
If 8,488 people voted for Hall, then which comes closest to the number of people who did not vote for him?
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The ratio of the percent of the voters who voted against Hall (55%) to the percent who voted for him (45%) is the same as that of the number of the voters who voted against Hall (an unknown number we will call 
) to the number who voted for him (8,488). From the information in the graph, setting 
to the number of votes for Franklin,
.
Multiply both sides by 8,488 and solve:
The closest estimate is 10,400 votes.
The ratio of the percent of the voters who voted against Hall (55%) to the percent who voted for him (45%) is the same as that of the number of the voters who voted against Hall (an unknown number we will call
Multiply both sides by 8,488 and solve:
The closest estimate is 10,400 votes.
The above graph represents the results of a general election for mayor of Washington City. Hall is a Republican; Johns is a Democrat; the other three are independents.
5,328 people voted for Hall. Which is the best estimate for the number of people who voted for an independent candidate?
The above graph represents the results of a general election for mayor of Washington City. Hall is a Republican; Johns is a Democrat; the other three are independents.
5,328 people voted for Hall. Which is the best estimate for the number of people who voted for an independent candidate?
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The green wedge, which represents Hall, is about 45% of the circle. The three wedges representing independents Carson, Franklin, and Lamont - dark red, bright red, and turquoise, respectively - together comprise about 40% of the circle. We can set up, and solve for the unknown in a proportion statement as follows:
4,700 is the best estimate.
The green wedge, which represents Hall, is about 45% of the circle. The three wedges representing independents Carson, Franklin, and Lamont - dark red, bright red, and turquoise, respectively - together comprise about 40% of the circle. We can set up, and solve for the unknown in a proportion statement as follows:
4,700 is the best estimate.
The above graph represents the results of a general election for two seats on the city council of Lincoln City. Frankllin and Hall are Democrats; Johns and Lamont are Republicans; Carson is an independent.
4,429 people voted for Democrats. Which of the following is the best estimate for the number of people who voted for Republicans?
The above graph represents the results of a general election for two seats on the city council of Lincoln City. Frankllin and Hall are Democrats; Johns and Lamont are Republicans; Carson is an independent.
4,429 people voted for Democrats. Which of the following is the best estimate for the number of people who voted for Republicans?
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The two wedges that represent the Democratic candidates - green (Hall) and dark red (Franklin) - together make up about 55% of the circle. The two wedges that represent the Republican candidates - purple (Johns) and blue (Lamont) - make up about 40% of the circle. We can estimate the number of people who voted for a Republican using a proportion statement:
Solve for 
:
The best estimate is 3,200 votes.
The two wedges that represent the Democratic candidates - green (Hall) and dark red (Franklin) - together make up about 55% of the circle. The two wedges that represent the Republican candidates - purple (Johns) and blue (Lamont) - make up about 40% of the circle. We can estimate the number of people who voted for a Republican using a proportion statement:
Solve for
The best estimate is 3,200 votes.
The above graph represents the results of a general election for two seats on the city council of Wilson City. Frankllin and Hall are Democrats; Johns and Lamont are Republicans; Carson is an independent.
4,987 people voted for Republicans. Which of the following is the best estimate of the number of people who voted in the election overall?
The above graph represents the results of a general election for two seats on the city council of Wilson City. Frankllin and Hall are Democrats; Johns and Lamont are Republicans; Carson is an independent.
4,987 people voted for Republicans. Which of the following is the best estimate of the number of people who voted in the election overall?
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The two wedges that represent the Republican candidates - purple (Johns) and blue (Lamont) - make up about 40% of the circle. The problem becomes, essentially, to figure out what 4,987 is 40% of. This can be done by dividing 4,987 by 0.40:
12,500 is the best estimate.
The two wedges that represent the Republican candidates - purple (Johns) and blue (Lamont) - make up about 40% of the circle. The problem becomes, essentially, to figure out what 4,987 is 40% of. This can be done by dividing 4,987 by 0.40:
12,500 is the best estimate.
Do NOT use a calculator for this question.
Refer to the above circle graph.
The top two finishers engage in a runoff election.
The third-place finisher tells his voters to choose the second-place finisher. The fourth- and fifth-place finishers tell their voters to choose the first-place finisher.
If each voter who selected one of the top two finishers stays with his choice, and every other voter does what is requested of him by his original chosen candidate, who will win the election?
Do NOT use a calculator for this question.
Refer to the above circle graph.
The top two finishers engage in a runoff election.
The third-place finisher tells his voters to choose the second-place finisher. The fourth- and fifth-place finishers tell their voters to choose the first-place finisher.
If each voter who selected one of the top two finishers stays with his choice, and every other voter does what is requested of him by his original chosen candidate, who will win the election?
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In one group will be those who voted for first-place finisher Zimmerman, fourth-place finisher Ullman, and fifth-place finisher Young. These people will vote for Zimmerman.
In the second group will be those who voted for second-place finisher Williams and third-place finisher Vickers. These people will vote for Williams.
The pieces of the circle representing Vickers and Williams together make up more than half the circle. Therefore, Williams will win the runoff.
In one group will be those who voted for first-place finisher Zimmerman, fourth-place finisher Ullman, and fifth-place finisher Young. These people will vote for Zimmerman.
In the second group will be those who voted for second-place finisher Williams and third-place finisher Vickers. These people will vote for Williams.
The pieces of the circle representing Vickers and Williams together make up more than half the circle. Therefore, Williams will win the runoff.
Refer to the above graph. How many people voted against Vickers?
Do not use a calculator.
Refer to the above graph. How many people voted against Vickers?
Do not use a calculator.
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Add the number of people who voted for each of the other four candidates:
Add the number of people who voted for each of the other four candidates:
Refer to the above graph. Which of the following comes closest to the ratio of people who voted for Zimmerman to people who voted for Ullman?
Refer to the above graph. Which of the following comes closest to the ratio of people who voted for Zimmerman to people who voted for Ullman?
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Divide the number of people who voted for Zimmerman, 512, by the number of people who voted for Ullman, 133.
About four times as many people voted for Zimmerman as Ullman, so of the given choices, 
is closest to the exact ratio.
Divide the number of people who voted for Zimmerman, 512, by the number of people who voted for Ullman, 133.
About four times as many people voted for Zimmerman as Ullman, so of the given choices,
Refer to the above graph. Which of the following comes closest to the ratio of people who voted against Williams to people who voted for Williams?
Refer to the above graph. Which of the following comes closest to the ratio of people who voted against Williams to people who voted for Williams?
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The number of people who voted for candidates other than Williams is
.
433 people voted for Williams.
Divide 1,091 by 433:
About 2.5, or 
, as many people voted against Williams as for Williams, so the closest ratio of the four choices is 5 to 2.
The number of people who voted for candidates other than Williams is
433 people voted for Williams.
Divide 1,091 by 433:
About 2.5, or
Refer to the above graph. To the nearest whole number, what percent of the people voted against Ullman?
Refer to the above graph. To the nearest whole number, what percent of the people voted against Ullman?
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The whole is the number of persons who voted, which is the sum:
The part is the number of people who voted for candidates other than Ullman, which is
.
We now want to know what percent of 1,524 is 1,391, which can be answered by calculating:
The whole is the number of persons who voted, which is the sum:
The part is the number of people who voted for candidates other than Ullman, which is
We now want to know what percent of 1,524 is 1,391, which can be answered by calculating:
Use the following pie chart to answer the question:
Which class has the lowest percentage of students?
Use the following pie chart to answer the question:
Which class has the lowest percentage of students?
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Let's look at the pie chart.
We can see it represents the percentage of students in each class. The legend on the right displays which color represents which class:
blue=Math
orange=Science
gray=Art
yellow=History
So, we will look at the percentages and find the smallest/lowest number. We see it is 19% and it is the yellow class. We know yellow represents History.
Therefore, History has the lowest percentage of students.
Let's look at the pie chart.
We can see it represents the percentage of students in each class. The legend on the right displays which color represents which class:
blue=Math
orange=Science
gray=Art
yellow=History
So, we will look at the percentages and find the smallest/lowest number. We see it is 19% and it is the yellow class. We know yellow represents History.
Therefore, History has the lowest percentage of students.
We asked 100 people what their favorite pizza topping is. Use the following pie chart to answer the question:
What pizza topping do people like the least?
We asked 100 people what their favorite pizza topping is. Use the following pie chart to answer the question:
What pizza topping do people like the least?
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Let's look at the pie chart:
We can see the legend on the right show which color represents which topping.
blue=Pepperoni
orange=Beef
gray=Sausage
yellow=Cheese
Now, we need to find the topping that people like the least. To do that, we will find the portion of the pie chart with the lowest percentage. We can see it is the orange portion with 12%.
Now, we know the orange portion corresponds to Beef.
Therefore, the pizza topping that people like the least is beef.
Let's look at the pie chart:
We can see the legend on the right show which color represents which topping.
blue=Pepperoni
orange=Beef
gray=Sausage
yellow=Cheese
Now, we need to find the topping that people like the least. To do that, we will find the portion of the pie chart with the lowest percentage. We can see it is the orange portion with 12%.
Now, we know the orange portion corresponds to Beef.
Therefore, the pizza topping that people like the least is beef.
Use the following pie chart to answer the question:
What percentage of students are in History?
Use the following pie chart to answer the question:
What percentage of students are in History?
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Let's look at the pie chart
We can see each colored portion matches up with a class:
blue=Math
orange=Science
gray=Art
yellow=History
Now, to find the percentage of students in History, we will look at the portion that corresponds to History. We can see it is the yellow portion. We can also see it says 17%.
Therefore, the percentage of students in History class is 17%.
Let's look at the pie chart
We can see each colored portion matches up with a class:
blue=Math
orange=Science
gray=Art
yellow=History
Now, to find the percentage of students in History, we will look at the portion that corresponds to History. We can see it is the yellow portion. We can also see it says 17%.
Therefore, the percentage of students in History class is 17%.
Use the chart to answer the following question.
A survey found the favorite subjects of 
students. How many students named math and history as their favorite subjects?
Use the chart to answer the following question.
A survey found the favorite subjects of
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of all of the students polled named math and history as their favorite subjects. Thus, we can just find the number of students that make up 
.
students named math and science their favorite subjects.
Use the chart to answer the following question.
What is the central angle formed by the sum of English and Science sectors of the chart?
Use the chart to answer the following question.
What is the central angle formed by the sum of English and Science sectors of the chart?
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The English and the Science sectors of the pie chart make up 
of the entire chart. Thus, to find the central angle formed by the sum of these two sectors, we will need to find 
of 
degrees.
The central angle formed is 
.
The English and the Science sectors of the pie chart make up
The central angle formed is