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Data, Graphs and Line Plots: practice solutions, Grade 2 – download the PDF

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Practice solutions Grade 2 : Data, Graphs and Line Plots — Zyro the alien explorer of Planète Maths

Written solutions to the chapter problems. Check each step, then correct yourself.

1 Recess tally ★★★

  1. The jump rope row has 2 full groups of five and 3 single lines: \(5 + 5 + 3 = 13\). 13 students chose jump rope.
  2. The rows are tag 8, jump rope 13, hopscotch 6, kickball 10. The smallest number is 6, so hopscotch got the fewest votes.
  3. Subtract: \(10 - 6 = 4\). 4 more students chose kickball.

2 Groups of five ★★★

  • 7: one group of five and 2 single lines, because \(5 + 2 = 7\).
  • 10: two groups of five and 0 single lines, because \(5 + 5 = 10\).
  • 13: two groups of five and 3 single lines, because \(10 + 3 = 13\).

The number 10 needs no single lines.

3 Orchard picture graph ★★★

  1. The key says each star is 1 fruit. The plums row has 7 stars, so 7 plums.
  2. Cherries have only 3 stars, the shortest row, so cherries were picked the least.
  3. Add all the rows: \(6 + 4 + 7 + 3 = 20\). 20 pieces of fruit were picked.

4 Pets at home ★★★

  1. The cat bar reaches the line marked 7. 7 students have cats.
  2. The shortest bar is the fish bar at 3, so fish are owned by the fewest students.
  3. Cats 7 and dogs 5: \(7 - 5 = 2\). 2 more students have cats.

5 Leaf line plot ★★★

  1. There are 3 X marks above the 3, so 3 leaves.
  2. The last X is above 6, so the longest leaf is 6 inches.
  3. The first X is above 2, so the shortest leaf is 2 inches.
  4. Count the X marks: \(1 + 3 + 2 + 1 + 2 = 9\). Zoe measured 9 leaves.

6 True or false? ★★★

  1. True. The slash is drawn across four lines, and the whole group is worth 5.
  2. False. The key tells how many things one symbol stands for, so we need it to read the graph.
  3. False. A taller bar means a greater number.
  4. True. Each X marks one piece of data, such as one length.

7 Make a tally chart ★★★

Count each letter. R appears 5 times, B appears 3 times, and G appears 2 times.

RedBlueGreen

Check: \(5 + 3 + 2 = 10\), which is the number of friends. Red has one full group of five.

8 Sticker picture graph ★★★

  1. Ben’s row has 6 stars. Each star is 2, so count by twos: 2, 4, 6, 8, 10, 12. Ben has 12 stickers.
  2. Cy has 3 stars, which is 6 stickers. \(12 - 6 = 6\). Ben has 6 more stickers.
  3. Ana 8, Ben 12, Cy 6, Dee 10: \(8 + 12 + 6 + 10 = 36\). They have 36 stickers in all.

9 Books read by four rooms ★★★

  1. Room A read 14 books and Room D read 8: \(14 - 8 = 6\). Room A read 6 more books.
  2. \(14 + 10 + 18 + 8 = 50\). The rooms read 50 books in all.
  3. Room C read 18. Try pairs: \(10 + 8 = 18\). Room B and Room D together read as many as Room C.

10 Long jump line plot ★★★

  1. The tallest stack is above 5, with 4 X marks. 5 feet happened the most.
  2. More than 5 feet means 6 feet or 7 feet. There is 1 X above 6 and 2 above 7: \(1 + 2 = 3\). 3 students jumped more than 5 feet.
  3. Longest 7 feet, shortest 3 feet: \(7 - 3 = 4\). The difference is 4 feet.

11 Lunch vote ★★★

  1. Pizza 9, tacos 14, pasta 6, salad 5. \(9 + 14 + 6 + 5 = 34\). 34 students voted.
  2. \(14 - 9 = 5\). 5 more students chose tacos.
  3. Pizza and pasta: \(9 + 6 = 15\). Tacos got 14. Since \(15 > 14\), yes, pizza and pasta together got 1 more vote than tacos.

12 Birthday seasons ★★★

  1. The tallest bar is summer, at 9. Summer has the most birthdays.
  2. \(9 - 4 = 5\). 5 more birthdays are in summer.
  3. Each student has one birthday, so add all the bars: \(6 + 9 + 4 + 7 = 26\). There are 26 students.
  4. Take away the summer birthdays: \(26 - 9 = 17\). Or add the others: \(6 + 4 + 7 = 17\). 17 birthdays are not in summer.

13 Draw a bar graph ★★★

The biggest number is 7, so a scale from 0 to 8 that counts by ones fits well. A scale that counts by tens would make every bar tiny. The bars are 4, 7, 5, and 2 units tall.

Number of hats012345678Red4Blue7Green5Yellow2

The blue bar is the tallest and the yellow bar is the shortest. Check: \(4 + 7 + 5 + 2 = 18\) hats.

14 Make a line plot ★★★

Draw a number line from 4 to 7 and make one X for every pencil. There is 1 pencil of 4 inches, 4 of 5 inches, 3 of 6 inches, and 2 of 7 inches.

4567Length of pencils in inches

Check: \(1 + 4 + 3 + 2 = 10\) X marks, one for each pencil. 4 pencils are 5 inches long.

15 Shell collecting ★★★

Read the bars: Pam 15, Raj 10, Liv 20, Tom 5. Liv gives away 5: \(20 - 5 = 15\). Tom receives 5: \(5 + 5 = 10\).

Now Pam has 15, Raj has 10, Liv has 15, and Tom has 10. Pam and Liv tie for the most, with 15 shells each. The total stays the same: \(15 + 10 + 15 + 10 = 50\), just like \(15 + 10 + 20 + 5 = 50\).

16 Find the mistake: picture graph ★★★

Max is not right. He forgot to use the key. Each circle stands for 2 books, not 1.

Skip count by twos six times: 2, 4, 6, 8, 10, 12. Or multiply: \(6 \times 2 = 12\). Room 3 read 12 books.

17 Find the mistake: tally marks ★★★

Jo counted each group as 1 instead of 5. Each group of five is worth 5.

Count by fives: 5, 10, 15. Then add the 2 lines: 16, 17. \(15 + 2 = 17\). The correct total is 17.

18 Four-category survey ★★★

  1. The numbers must add up to 20. Known: \(7 + 5 + 6 = 18\). Then \(20 - 18 = 2\). 2 students chose skating.
  2. The smallest number is 2, so skating is the least popular.
  3. \(7 - 2 = 5\). 5 more students chose soccer.
  4. \(5 + 6 = 11\). 11 students chose swimming or biking.

19 Plant heights ★★★

  1. There are 4 X marks above the 8. 4 plants.
  2. Taller than 7 means 8, 9, or 10 inches: \(4 + 1 + 1 = 6\). 6 plants.
  3. Shorter than 7 means 5 or 6 inches: \(1 + 2 = 3\). 3 plants.
  4. \(10 - 5 = 5\). The difference is 5 inches.

Check: \(3 + 3 + 6 = 12\), because 3 plants are exactly 7 inches tall.

20 Choose a scale ★★★

Read the tally: apples 8, bananas 6, grapes 4, oranges 12. Every number is even and the largest is 12, so a scale that counts by 2s from 0 to 12 is best. Counting by 10s would hide the differences.

Pieces of fruit024681012ApplesBananasGrapesOranges

The bars are 8, 6, 4, and 12 tall. Total: \(8 + 6 + 4 + 12 = 30\). 30 pieces of fruit were eaten.

21 Two days of cookies ★★★

  1. Friday: \(12 + 8 + 14 + 6 = 40\). Saturday: \(10 + 9 + 20 + 6 = 45\). 40 cookies on Friday and 45 on Saturday.
  2. Lemon: \(9 - 8 = 1\) more. Chocolate: \(20 - 14 = 6\) more. Oatmeal sold fewer (10 is less than 12). Lemon sold 1 more and chocolate sold 6 more.
  3. Ginger sold 6 on both days, so ginger stayed the same.

Check: \(45 - 40 = 5\) more cookies on Saturday, and \(1 + 6 - 2 = 5\).

Back to the practice problems : Data, Graphs and Line Plots: practice solutions, Grade 2 – Planète MathsTake the quiz : Data, Graphs and Line Plots: practice solutions, Grade 2 – Planète MathsTake the test : Data, Graphs and Line Plots: practice solutions, Grade 2 – Planète Maths

Test yourself: quick challenge for Grade 2

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