Line Plots

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Answer Key & Explanations

Line Plots · Grade 2 · Worksheet 3

1. Alex measured how far each friend can jump (in feet). The jumps were: 9 feet, 2 feet, 2 feet, 5 feet, 5 feet, 5 feet. Which number on the line plot has exactly 2 X's above it? Answer: 2 Solution: List the data: 9 appears 1 time, 2 appears 2 times, 5 appears 3 times. On the line plot, the number with 2 X's is the one that appears 2 times. That number is 2.
   Full step-by-step solution

   Step 1: List the data: 9 appears 1 time, 2 appears 2 times, 5 appears 3 times. Step 2: On the line plot, the number with 2 X's is the one that appears 2 times. Step 3: That number is 2. The answer is 2.

2. Lily collected 32 seashells at the beach on Monday. On Tuesday, she collected 25 more seashells. How many seashells did Lily collect in total? Answer: 57 Solution: Lily collected seashells on two days: Monday and Tuesday. We need to find the total number of seashells she collected. On Monday, she collected 32 seashells.
   Full step-by-step solution

   Step 1: Understand the problem. Lily collected seashells on two days: Monday and Tuesday. We need to find the total number of seashells she collected. Step 2: Identify the number of seashells collected each day. On Monday, she collected 32 seashells. On Tuesday, she collected 25 seashells. Step 3: Decide on the operation. To find the total, we add the number of seashells from Monday and Tuesday. Step 4: Write the addition expression. Total seashells = 32 + 25 Step 5: Perform the addition. First, add the ones: 2 + 5 = 7 Then, add the tens: 3 + 2 = 5 So, 32 + 25 = 57 Step 6: State the final answer. Lily collected 57 seashells in total.

3. Mason counted the number of flowers in his garden each day for a week: 2, 7, 7, 12, 12, 12, 17. Make a line plot of this data. Answer: Line plot with X's above 2 (1), 7 (2), 12 (3), 17 (1) Solution: Step 3: For the number 2, put one X above 2. Step 4: For the number 7, put two X's above 7. Step 5: For the number 12, put three X's above 12.
   Full step-by-step solution

   Step 1: Draw a number line from 0 to 20. Step 2: Label the number line with whole numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20. Step 3: For the number 2, put one X above 2. Step 4: For the number 7, put two X's above 7. Step 5: For the number 12, put three X's above 12. Step 6: For the number 17, put one X above 17. The final line plot shows: above 2: X; above 7: X X; above 12: X X X; above 17: X.

4. Look at the pattern of circles arranged in rows: ○ ○ ○ ○ ○ ○ | ○ ○ ○ ○ ○ ○ | ○ ○ ○ ○ ○ ○. There are 3 rows with 6 circles in each row. How many circles are there in total? Answer: 18 Solution: There are 3 rows of circles. Each row has 6 circles. To find the total, multiply the number of rows by the number of circles in each row: 3 × 6 3 × 6 = 18 The answer is 18.
   Full step-by-step solution

   Step 1: There are 3 rows of circles. Step 2: Each row has 6 circles. Step 3: To find the total, multiply the number of rows by the number of circles in each row: 3 × 6 Step 4: 3 × 6 = 18 The answer is 18.

5. 48 + 26 = ? Answer: 74 Solution: Add the numbers in the ones place: 8 + 6 = 14. Write down the 4 in the ones place and carry over the 1 to the tens place. Add the numbers in the tens place, including the carried-over 1: 4 + 2 + 1 = 7.
   Full step-by-step solution

   Step 1: Add the numbers in the ones place: 8 + 6 = 14. Write down the 4 in the ones place and carry over the 1 to the tens place. Step 2: Add the numbers in the tens place, including the carried-over 1: 4 + 2 + 1 = 7. Step 3: Combine the tens and ones: 70 + 4 = 74. The answer is 74.

6. 9 + 12 = ? Answer: 21 Solution: Start with the larger number, 12. Count on 9 more: 13, 14, 15, 16, 17, 18, 19, 20, 21. 12 + 9 = 21.
   Full step-by-step solution

   Step 1: Start with the larger number, 12. Step 2: Count on 9 more: 13, 14, 15, 16, 17, 18, 19, 20, 21. Step 3: 12 + 9 = 21. The answer is 21.

7. Hana counted the number of petals on 12 flowers: 5, 5, 5, 5, 5, 7, 7, 7, 9, 9, 11, 11. Make a line plot of this data. Answer: A line plot with X marks above 5 (five times), 7 (three times), 9 (two times), and 11 (two times). Solution: List the numbers that appear: 5, 7, 9, 11. Count how many times each number appears: 5 appears 5 times, 7 appears 3 times, 9 appears 2 times, 11 appears 2 times. Above the number 5, draw 5 X marks stacked up.
   Full step-by-step solution

   Step 1: List the numbers that appear: 5, 7, 9, 11. Step 2: Count how many times each number appears: 5 appears 5 times, 7 appears 3 times, 9 appears 2 times, 11 appears 2 times. Step 3: Draw a number line from 5 to 11. Step 4: Above the number 5, draw 5 X marks stacked up. Step 5: Above the number 7, draw 3 X marks. Step 6: Above the number 9, draw 2 X marks. Step 7: Above the number 11, draw 2 X marks. The line plot is complete.

8. Charlotte asked friends how many pets they have. The answers were: 8 pets, 8 pets, 2 pets, 2 pets, 2 pets, 1 pets. What number appears most often on the line plot? Answer: 2 Solution: List the data: 8, 8, 2, 2, 2, 1. Count how many times each number appears: 8 appears 2 times, 2 appears 3 times, 1 appears 1 time. The number that appears most often is 2 because it has the most X's on the line plot.
   Full step-by-step solution

   Step 1: List the data: 8, 8, 2, 2, 2, 1. Step 2: Count how many times each number appears: 8 appears 2 times, 2 appears 3 times, 1 appears 1 time. Step 3: The number that appears most often is 2 because it has the most X's on the line plot. The answer is 2.