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.
Kira reads a double bar graph of pets owned in two classes. What percent of all the pets are cats?
Luz reads a double bar graph of sports votes from two grades. What percent of all the votes were for tennis?
Double bar graph: sports votes. Grade 6 and Grade 7. Tennis: 8 and 6. Soccer: 5 and 11. Swimming: 12 and 8. Double bar graph: sports votes. Grade 6 and Grade 7. Tennis: 8 and 6. Soccer: 5 and 11. Swimming: 12 and 8. Double bar graph: sports votes 0 2.5 5 7.5 10 12.5 Tennis Soccer Swimming Grade 6 Grade 7 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 - Dogs got three times as many votes, because Graph Y shows the votes just as they are.
- Dogs got 4 more votes out of 80, and Graph Y starts at 36 so it exaggerates the gap.
- One graph must have wrong votes, because the same data cannot look different on two graphs.
- Cats and dogs tied, because 38 and 42 are so close that the difference does not count.
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.
- 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.
- Class B collected 6 more cans out of 146, and Graph Y starts at 64, so it exaggerates.
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.
- The crowds were the same, because 120 and 130 are close enough to be equal.
- 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.
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.
- 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.
- Team Blue scored twice as many points, because Graph Y shows the points just as they are.
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 will reach 14 cm at week 6, because it keeps growing.
- The plant grew fastest between week 2 and week 3, gaining 4 cm.
- The plant grew fastest at week 4, because that is the highest point.
- The plant grew fastest between week 1 and week 2, gaining 4 cm.
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 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.
- The temperature rose fastest between 8 a.m. and 10 a.m., gaining 12 degrees.
- The temperature will be 76 degrees at 6 p.m., because it was rising.
Bo watches a tank drain and graphs the water every two minutes. Which claim does the line graph support?
Line graph: liters of water in the tank. Minute 0: 40. Minute 2: 34. Minute 4: 28. Minute 6: 28. Minute 8: 20. Line graph: liters of water in the tank. Minute 0: 40. Minute 2: 34. Minute 4: 28. Minute 6: 28. Minute 8: 20. liters of water in the tank 0 2 4 6 8 0 10 20 30 40 Minute liters - The tank drained fastest at minute 0, because that is the highest point.
- The tank drained fastest between minute 6 and minute 8, losing 8 liters.
- The tank drained fastest between minute 0 and minute 2, losing 8 liters.
- The tank will be empty at minute 14, because it keeps draining.