Line Plots

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Answer Key & Explanations

Line Plots · Grade 2 · Worksheet 1

1. Noah has 28 toy cars in his collection. For his birthday, he gets 15 more toy cars. How many toy cars does Noah have now? Answer: 43 Solution: Noah started with 28 toy cars. He received 15 more toy cars.
   Full step-by-step solution

   Step 1: Noah started with 28 toy cars. Step 2: He received 15 more toy cars. Step 3: Add the two amounts together: 28 + 15 Step 4: First add the ones: 8 + 5 = 13 Step 5: Write down the 3 ones and carry over the 1 ten Step 6: Add the tens: 2 + 1 + 1 (carried over) = 4 Step 7: Combine the tens and ones: 40 + 3 = 43 Noah now has 43 toy cars.

2. Noah has 28 stickers in his collection. For his birthday, his friend Liam gives him 15 more stickers. How many stickers does Noah have now? Answer: 43 Solution: Noah starts with 28 stickers. Liam gives him 15 more stickers.
   Full step-by-step solution

   Step 1: Noah starts with 28 stickers. Step 2: Liam gives him 15 more stickers. Step 3: Add the stickers together: 28 + 15 Step 4: First add the ones: 8 + 5 = 13 Step 5: Write down the 3 ones and carry over the 1 ten Step 6: Add the tens: 2 + 1 + 1 (carried over) = 4 Step 7: Combine the tens and ones: 40 + 3 = 43 Noah has 43 stickers now.

3. Noah has 45 stickers in his collection. For his birthday, his friend Liam gives him 28 more stickers. How many stickers does Noah have now? Answer: 73 Solution: Noah started with 45 stickers. Liam gave him 28 more stickers.
   Full step-by-step solution

   Step 1: Noah started with 45 stickers. Step 2: Liam gave him 28 more stickers. Step 3: Add the two amounts together: 45 + 28 Step 4: First add the ones: 5 + 8 = 13 (write down 3, carry over 1 to the tens) Step 5: Then add the tens: 4 + 2 + 1 = 7 Step 6: Combine the tens and ones: 70 + 3 = 73 Noah now has 73 stickers.

4. Make a line plot showing: 2, 2, 7, 7, 7, 12, 12, 12, 12, 17, 17 Answer: Line plot with X marks: 2 has 2 X's, 7 has 3 X's, 12 has 4 X's, 17 has 2 X's Solution: List the numbers in order: 2, 2, 7, 7, 7, 12, 12, 12, 12, 17, 17. Count how many times each number appears: 2 appears 2 times, 7 appears 3 times, 12 appears 4 times, 17 appears 2 times. Above 2, draw 2 X's stacked.
   Full step-by-step solution

   Step 1: List the numbers in order: 2, 2, 7, 7, 7, 12, 12, 12, 12, 17, 17. Step 2: Count how many times each number appears: 2 appears 2 times, 7 appears 3 times, 12 appears 4 times, 17 appears 2 times. Step 3: Draw a number line from 0 to 20. Above 2, draw 2 X's stacked. Above 7, draw 3 X's. Above 12, draw 4 X's. Above 17, draw 2 X's. The line plot is complete.

5. Liam collected 32 seashells at the beach. His sister Emma found 25 seashells. How many seashells did they collect altogether? Answer: 57 Solution: Liam collected 32 seashells. Emma collected 25 seashells. We need to find the total number of seashells they collected together.
   Full step-by-step solution

   Step 1: Understand the problem. Liam collected 32 seashells. Emma collected 25 seashells. We need to find the total number of seashells they collected together. Step 2: Identify the operation. To find the total when combining two amounts, we use addition. Step 3: Write the addition expression. Total seashells = 32 + 25 Step 4: Add the numbers. First, add the ones place: 2 + 5 = 7. Next, add the tens place: 3 + 2 = 5. So, 32 + 25 = 57. Step 5: State the final answer. Altogether, Liam and Emma collected 57 seashells.

6. During recess, Mia counted how many times each student could jump rope without stopping: 5, 5, 12, 2, 12, 5, 2, 12. Draw a line plot for this data. What number has the fewest X marks? Answer: 2 Solution: Write the data in order: 5, 5, 12, 2, 12, 5, 2, 12. Step 2: Count each number: 5 appears 3 times, 12 appears 3 times, 2 appears 2 times. Step 4: Mark X's: 3 above 5, 3 above 12, 2 above 2.
   Full step-by-step solution

   Step 1: Write the data in order: 5, 5, 12, 2, 12, 5, 2, 12. Step 2: Count each number: 5 appears 3 times, 12 appears 3 times, 2 appears 2 times. Step 3: Draw a number line from 0 to 20. Step 4: Mark X's: 3 above 5, 3 above 12, 2 above 2. The number with the fewest X marks is 2.

7. Look at the pattern of squares: ▢ ▢ ▢ ▢ ▢ | ▢ ▢ ▢ ▢ ▢ | ▢ ▢ ▢ ▢ ▢. There are 3 rows with 5 squares in each row. How many squares are there in total? Answer: 15 Solution: There are 3 rows of squares Each row has 5 squares To find the total, multiply the number of rows by the number of squares in each row 3 × 5 = 15 There are 15 squares in total.
   Full step-by-step solution

   Step 1: There are 3 rows of squares Step 2: Each row has 5 squares Step 3: To find the total, multiply the number of rows by the number of squares in each row Step 4: 3 × 5 = 15 Step 5: There are 15 squares in total.

8. The students in Mr. Chen's class measured how many minutes they spent reading each day last week. Their reading times were: 35 minutes, 45 minutes, 35 minutes, 50 minutes, 45 minutes, and 35 minutes. How many students read for exactly 35 minutes? Answer: 3 Solution: List all the reading times: 35, 45, 35, 50, 45, 35 Look for the number 35 in the list Count how many times 35 appears: first number is 35, third number is 35, sixth number is 35 There are three numbers that are 35 So three students read for exactly 35 minutes The answer is 3.
   Full step-by-step solution

   Step 1: List all the reading times: 35, 45, 35, 50, 45, 35 Step 2: Look for the number 35 in the list Step 3: Count how many times 35 appears: first number is 35, third number is 35, sixth number is 35 Step 4: There are three numbers that are 35 Step 5: So three students read for exactly 35 minutes The answer is 3.