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This quiz, Graph Word Problems, will focus on charts and pies.

** Chart:** A chart is made up of a horizontal line and a vertical line. The horizontal line displays advancing numbers, letters or names going from left to right along the horizontal bottom line. The vertical line displays advancing numbers, letters or names going from the bottom to top along the vertical line.

** Pie:** A pie graph (or circle graph) uses “slices” or “sections” to show size. For example, if you wanted to divide a pizza up to feed five people, one slice of the pizza would be equal to 1/5 of the pie.

The pie would be divided into five equal sized sections with each section showing a percentage. For here, a whole pie equals 100%. What percentage would 1/5 be? To find the answer you would divide 100 by 5 or 100 ÷ 5 = 20. Each person would get 20% of the pie.

For each word problem below you will have to create your own graph (using either a chart or a pie) to determine the correct answer.

1.

A new playground was being built by volunteers. Twelve people were tasked with smoothing out the ground. Eight people were put on assembling the swing sets. Four people were put on assembling the see-saws. Eleven people were put on building mazes and five people were tasked with building sandboxes. Using a pie graph, which percentage were tasked with assembling swing sets?

27.5%

30%

20%

10%

First add up the number of people who volunteered. This gives us 12 + 8 + 4 + 11 + 5 = 40. 40 people volunteered so 40 = 100%. Next, divide 100 by 40 or 100 ÷ 40 = 2.5. 12 x 2.5 = 30% worked on smoothing the ground. 8 x 2.5 = 20% assembled swing sets. 4 x 2.5 = 10% assembled see-saws. 11 x 2.5 = 27.5% built mazes. 5 x 2.5 = 12.5% built sandboxes. Answer (c) 20% is the correct percentage for those who assembled swing sets

2.

A new subdivision is being built in the city that, when completed, will consist of 300 new houses. There will be four different styles of homes built. Fourteen percent will be colonial houses, twenty-one percent will be ranch houses, thirty-five percent will be craftsman and thirty percent will be modern. Which style of home will have 63 of them built?

Craftsman

Modern

Colonial

Ranch

We know 300 new houses will be built so 300 will equal 100%. We need to find the number for 1% so we divide 300 by 100 or 300 ÷ 100 = 3. 14% of the homes will be colonial so we multiply 14 x 3 = 42. 35% will be craftsman style homes so we multiply 35 x 3 = 105. 30% will be modern so we multiply 30 x 3 = 90. 21% will be ranch style homes so we multiply 21 x 3 = 63. Answer (d) Ranch is the correct answer

3.

Raymond is creating a pie graph to help him budget his monthly living expenses. He believes that out of every $100 in monthly expenses, he will spend $22 on utilities. Which of the following labels should be used for this section of the pie (circle) graph?

Utilities, 22%

Monthly Expenses

Utilities, 9.6%

Raymond's Budget, $100

The entire pie or circle graph would be called either “Raymond’s Budget” or “Raymond’s Monthly Expenses” so no sections will receive either title making both Answer (b) and Answer (d) incorrect. As this question is dealing with his utilities, a section would be labeled “Utilities.” As $22 of every hundred in expenses goes to utilities you can write that as a fraction 22/100 (or as a decimal .22). 22/100 is equal to 22%. The section would be labeled “Utilities, 22%” so Answer (a) is the correct answer

4.

To make a birthday cake you will need the following ingredients: sugar, flour, butter, eggs, salt, baking soda and vanilla. Of all the ingredients, sugar will make up 21 parts of the entire cake. Which of the following labels should be used for this section of the pie (circle) graph?

Ingredients

Birthday Cake

Sugar, 21%

21 parts

The entire pie or circle graph would be called “Birthday Cake” so no section will receive that title making Answer (b) incorrect. As this question is dealing with the amount of sugar needed, a section would be labeled “Sugar.” As the cake is made up of 21 parts of sugar, this is another way of saying 21%. The section then would be labeled at “Sugar, 21%” so Answer (c) is the correct answer

5.

A group of parents sat down to create a pie graph of a list of six chores to be done at home. Each chore would receive a set allowance attached to it. Doing the laundry was deemed to take the longest time so it would pay out $2.00 each day it was completed. Each child would be able to earn a total of $14 a week. Which of the following labels should be used for this section of the pie (circle) graph?

Laundry, $2

Laundry, $14

Laundry, 2%

Chore Chart

The entire pie or circle graph would be called “Chore Chart” so no section will receive this title making Answer (d) incorrect. As this question is dealing with laundry, a section would be labeled “Laundry.” Doing laundry each day will earn you $2. The section should be labeled “Laundry, $2” so Answer (a) is the correct answer

6.

Six teachers got together to plan two field trips. Mr. Sax wanted to go to a sports museum. Mr. Taylor wanted to go to the zoo. Miss Jensen wanted to see a dramatic play. Miss Hershel wanted to go to a science fair. Mr. Percy wanted to go to the art museum and Mrs. Spencer wanted to go to a water park. The teachers polled the students and 40% voted for the zoo, 20% voted for the water park, 14% voted for the art museum, 10% voted for the sports museum, 11% voted for the dramatic play and 5% voted for the science fair. Using a chart graph, which two field trips came in the middle with the percentages of votes?

Water park, dramatic play

Zoo, science fair

Art museum, dramatic play

Art museum, sports museum

The zoo got 40% and was the highest so it does not come in the middle and the science fair only got 5% and is on the bottom so Answer (b) is not the correct Answer. The water park received the second highest percentage of 20% so it does not fall into the middle range making Answer (a) incorrect. The sports museum got the second lowest percentage of votes and it, too, did not fall in the middle so Answer (d) is not correct. The art museum got 14% of the votes and the dramatic play got 11% of the votes so these two came in the middle. Answer (c) is the correct answer

7.

Jenny came home with her quarterly report card. She got an 83% in math, a 92% in history, a 96% in English, an 87% in science and an 81% in lab. Create a chart to plot Jenny’s grades. Which subject did she get the lowest grade in and which subject did she get the second highest grade in?

Lab, math

Lab, history

Math, English

Math, history

Jenny got her highest grade in English so Answer (c) will not be correct. Her math grade was next to her lowest grade so this would rule out Answers (a), (c) and (d). Lab was her lowest grade at 81% and history was her second highest grade at 92%. Therefore, Answer (b) is the correct answer

8.

The school’s library has 25,000 books with thirty-two percent being history books, seventeen percent being science books, seven percent being math books, six percent being biographies and thirty-eight percent being novels. Which type of book had a total of 1,500 books in the library?

Biographies

Novels

History

Science

We know the library has 25,000 books so 25,000 = 100%. We need to find the number for 1% so we divide 25,000 by 100 or 25000 ÷ 100 = 250. 32% of the books were history so we multiply 250 x 32 = 8,000. 17% of the books were science books to 250 x 17 = 4,250. 7% were math books so we multiply 250 x 7 = 1,750. 6% were biographies so 250 x 6 = 1,500. Finally, 38% were novels so 350 x 38 = 9,500. Answer (a) Biographies is the correct answer with a total of 1,500 books

9.

In taking a survey on people’s favorite sports, you find that baseball, basketball, football and hockey receive the most votes. You surveyed 15,000 people. Baseball got thirty-two percent of the votes, basketball got thirty-eight percent. Football got twenty-five percent and hockey got five percent. Which sport got 3,750 votes?

Hockey

Baseball

Basketball

Football

We know 15,000 were surveyed and voted so 15,000 = 100%. We need to find the number for 1% so we divide 15,000 by 100 or 15000 ÷ 100 = 150. Baseball had 32% of the vote so we multiply 150 x 32 = 4,800 voted. Basketball had 38% so we multiply 150 x 38 = 5,700. Hockey had 5% so we multiply 150 x 5 = 750. Football had 25% so we multiply 150 x 25 = 3,750 votes. Answer (d) football is the correct answer

10.

The man sitting at the piano in the hotel lobby asked the spectators for song requests. Five people requested Moonlight Sonata. Six people requested Fur Elise. Nine people requested Beethoven’s Fifth and ten requested Chopsticks. Using a pie graph, which percentage requested Fur Elise?

33.3%

19.98%

16.65%

29.97%

First add up the number of people who made a request. This gives us 5 + 6 + 9 + 10 = 30. 30 people made a request so 30 = 100%. Next, divide 100 by 30 or 100 ÷ 30 = 3.33. 5 x 3.33 = 16.65% requested Moonlight Sonata. 6 x 3.33 = 19.98% requested Fur Elise. 9 x 3.33 = 29.97% requested Beethoven’s Fifth and 10 x 3.33 = 33.3% requested Chopsticks. Answer (b) 19.98% is the correct percentage for Fur Elise