Line graphs, double bar graphs and frequency tables
Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
Jun reads a double bar graph of snack votes from two grades. What percent of all the votes were for fruit?
Kira reads a double bar graph of pets owned in two classes. What percent of all the pets are cats?
Double bar graph: pets owned. Class A and Class B. Cats: 10 and 12. Dogs: 9 and 6. Fish: 6 and 7. Double bar graph: pets owned. Class A and Class B. Cats: 10 and 12. Dogs: 9 and 6. Fish: 6 and 7. Double bar graph: pets owned 0 2.5 5 7.5 10 12.5 Cats Dogs Fish Class A Class B Milo reads a double bar graph of paper colors used by two classes. What percent of all the sheets were red?
Double bar graph: sheets of paper used. Class A and Class B. Red: 10 and 8. Blue: 10 and 9. Green: 5 and 8. Double bar graph: sheets of paper used. Class A and Class B. Red: 10 and 8. Blue: 10 and 9. Green: 5 and 8. Double bar graph: sheets of paper used 0 2 4 6 8 10 Red Blue Green Class A Class B Noah says dogs got three times as many votes as cats, because the dog bar in Graph Y is three times as tall. What is true?
Two bar graphs of the same votes: cats 38, dogs 42. Graph X: the vertical axis runs from 0 to 50, with a tick every 10. Graph Y: the vertical axis runs from 36 to 44, with a tick every 2. Two bar graphs of the same votes: cats 38, dogs 42. Graph X: the vertical axis runs from 0 to 50, with a tick every 10. Graph Y: the vertical axis runs from 36 to 44, with a tick every 2. Graph X votes 0 10 20 30 40 50 38 cats 42 dogs Graph Y votes 36 38 40 42 44 38 cats 42 dogs - Cats and dogs tied, because 38 and 42 are so close that the difference does not count.
- One graph must have wrong votes, because the same data cannot look different on two graphs.
- Dogs got 4 more votes out of 80, and Graph Y starts at 36 so it exaggerates the gap.
- Dogs got three times as many votes, because Graph Y shows the votes just as they are.
Pia says Class B collected twice as many cans as Class A, because its bar in Graph Y is twice as tall. What is true?
Two bar graphs of the same cans collected: Class A 70, Class B 76. Graph X: the vertical axis runs from 0 to 80, with a tick every 20. Graph Y: the vertical axis runs from 64 to 80, with a tick every 4. Two bar graphs of the same cans collected: Class A 70, Class B 76. Graph X: the vertical axis runs from 0 to 80, with a tick every 20. Graph Y: the vertical axis runs from 64 to 80, with a tick every 4. Graph X cans collected 0 20 40 60 80 70 Class A 76 Class B Graph Y cans collected 64 68 72 76 80 70 Class A 76 Class B - One graph must have the wrong counts, because the same cans cannot give two different pictures.
- Class B collected 6 more cans out of 146, and Graph Y starts at 64, so it exaggerates.
- The classes tied, because 70 and 76 are so close that the difference does not count.
- Class B collected twice as many cans, because Graph Y shows the cans just as they are.
Ren says Saturday's crowd was one and a half times Friday's, because its bar in Graph Y is that much taller. What is true?
Two bar graphs of the same game crowds: Friday 120, Saturday 130. Graph X: the vertical axis runs from 0 to 140, with a tick every 20. Graph Y: the vertical axis runs from 100 to 140, with a tick every 10. Two bar graphs of the same game crowds: Friday 120, Saturday 130. Graph X: the vertical axis runs from 0 to 140, with a tick every 20. Graph Y: the vertical axis runs from 100 to 140, with a tick every 10. Graph X game crowds 0 20 40 60 80 100 120 140 120 Friday 130 Saturday Graph Y game crowds 100 110 120 130 140 120 Friday 130 Saturday - Saturday's crowd was one and a half times Friday's, because Graph Y shows the crowds as they are.
- One graph must have wrong counts, because the same crowds cannot look different.
- Saturday had 10 more people out of 250, and Graph Y starts at 100, so it exaggerates.
- The crowds were the same, because 120 and 130 are close enough to be equal.
Tala says Team Blue scored twice as many points as Team Red, because its bar in Graph Y is twice as tall. What is true?
Two bar graphs of the same points: Team Red 52, Team Blue 56. Graph X: the vertical axis runs from 0 to 60, with a tick every 10. Graph Y: the vertical axis runs from 48 to 60, with a tick every 4. Two bar graphs of the same points: Team Red 52, Team Blue 56. Graph X: the vertical axis runs from 0 to 60, with a tick every 10. Graph Y: the vertical axis runs from 48 to 60, with a tick every 4. Graph X points 0 10 20 30 40 50 60 52 Team Red 56 Team Blue Graph Y points 48 52 56 60 52 Team Red 56 Team Blue - One graph must be a mistake, because the same points cannot look different on two graphs.
- Team Blue scored twice as many points, because Graph Y shows the points just as they are.
- The teams tied, because 52 and 56 are so close that the difference does not matter.
- Team Blue scored 4 more points out of 108, and Graph Y starts at 48, so it exaggerates.
Zee tracks a plant for four weeks. Which claim does the line graph support?
Line graph: plant height in cm. Week 0: 3. Week 1: 5. Week 2: 9. Week 3: 11. Week 4: 12. Line graph: plant height in cm. Week 0: 3. Week 1: 5. Week 2: 9. Week 3: 11. Week 4: 12. Line graph: plant height in cm 0 0.5 1 1.5 2 2.5 3 3.5 4 3 4 5 6 7 8 9 10 11 12 Week - The plant grew fastest at week 4, because that is the highest point.
- The plant grew fastest between week 2 and week 3, gaining 4 cm.
- The plant grew fastest between week 1 and week 2, gaining 4 cm.
- The plant will reach 14 cm at week 6, because it keeps growing.
Temperature in degrees. 8 a.m.: 52. 10 a.m.: 58. Noon: 70. 2 p.m.: 74. 4 p.m.: 72. Ari records the temperature every two hours. Which claim does the line graph support?
- The temperature will be 76 degrees at 6 p.m., because it was rising.
- The temperature rose fastest between 8 a.m. and 10 a.m., gaining 12 degrees.
- The temperature rose fastest at 2 p.m., because that is the highest point.
- The temperature rose fastest between 10 a.m. and noon, gaining 12 degrees.
Esme graphs the total miles ridden each hour on a long trip. Which claim does the line graph support?
Line graph: total miles ridden. Hour 0: 0. Hour 1: 12. Hour 2: 18. Hour 3: 18. Hour 4: 24. Line graph: total miles ridden. Hour 0: 0. Hour 1: 12. Hour 2: 18. Hour 3: 18. Hour 4: 24. total miles ridden 0 1 2 3 4 0 6 12 18 24 Hour miles - The rider went fastest in the first hour, gaining 12 miles.
- The rider will reach 36 miles by hour 6, because the line keeps rising.
- The rider went fastest in the second hour, gaining 12 miles.
- The rider went fastest in the last hour, because that is the highest point.

