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Line Plots

Grade 5 · Fractions · Worksheet 1

  1. Liam is measuring rainfall for his science project. He records the amounts in inches: 1/4, 1/2, 3/4, 1/2, 1/4, 1/2, 3/4, 1/4, 1/2, 1/4. He wants to create a line plot to display this data. How many days did Liam record exactly 1/2 inch of rainfall? Answer: ______________
  2. Liam measured the lengths of 9 different earthworms he found in his garden after a rainstorm. He measured each worm to the nearest eighth of an inch and recorded these lengths: 1 5/8 in, 1 3/8 in, 1 7/8 in, 1 5/8 in, 1 3/8 in, 1 5/8 in, 1 7/8 in, 1 3/8 in, and 1 7/8 in. He wants to create a line plot of his data. How many earthworms are longer than 1 1/2 inches? Answer: ______________
  3. A line plot shows the lengths of 6 nails in inches: 2 3/8, 2 1/2, 2 5/16, 2 11/16, 2 3/4, 2 1/8. What is the difference between the longest and shortest nail? Answer: ______________
  4. A line plot shows the lengths of 5 pencils in inches: 5 3/8, 5 7/16, 5 1/2, 5 11/16, 5 3/4. What is the difference between the longest and shortest pencil? Answer: ______________
  5. A line plot shows the lengths of 6 pencils in inches: 5 1/8, 5 3/16, 5 1/4, 5 7/16, 5 5/8, 5 3/4. What is the difference between the longest and shortest pencil? Answer: ______________
  6. Mere is measuring the lengths of different colored pencils in her art set. She measures each pencil to the nearest eighth of an inch and records the lengths: 2 1/8 in, 2 3/8 in, 2 1/2 in, 2 5/8 in, 2 1/8 in, 2 7/8 in, 2 3/8 in, 2 5/8 in, 2 1/2 in, 2 7/8 in, 2 1/8 in, and 2 5/8 in. If she makes a line plot of all these measurements, how many pencils are longer than 2 3/8 inches? Answer: ______________
  7. Noah is measuring the lengths of different colored ribbons in his craft box. He records each ribbon's length in inches and creates a line plot. The lengths are: 1 1/8, 1 1/4, 1 3/8, 1 1/2, 1 5/8, 1 3/4, 1 7/8, 2, 2 1/8, 2 1/4, 2 3/8, 2 1/2, 2 5/8, 2 3/4, 2 7/8, 3. What is the difference in inches between the longest ribbon and the shortest ribbon? Answer: ______________
  8. A line plot shows the lengths of 5 ribbons in inches: 6 3/8, 6 7/16, 6 1/2, 6 11/16, 6 5/8. What is the difference between the longest and shortest ribbon? Answer: ______________
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Answer Key & Explanations

Line Plots · Grade 5 · Worksheet 1

  1. Liam is measuring rainfall for his science project. He records the amounts in inches: 1/4, 1/2, 3/4, 1/2, 1/4, 1/2, 3/4, 1/4, 1/2, 1/4. He wants to create a line plot to display this data. How many days did Liam record exactly 1/2 inch of rainfall? Answer: 4 Solution: We are given the rainfall amounts recorded by Liam: 1/4, 1/2, 3/4, 1/2, 1/4, 1/2, 3/4, 1/4, 1/2, 1/4. We need to count how many days he recorded exactly 1/2 inch.
    Full step-by-step solution

    Let's go step by step. We are given the rainfall amounts recorded by Liam: 1/4, 1/2, 3/4, 1/2, 1/4, 1/2, 3/4, 1/4, 1/2, 1/4. We need to count how many days he recorded exactly 1/2 inch. Step 1: List all the measurements in order as given: Day 1: 1/4 Day 2: 1/2 Day 3: 3/4 Day 4: 1/2 Day 5: 1/4 Day 6: 1/2 Day 7: 3/4 Day 8: 1/4 Day 9: 1/2 Day 10: 1/4 Step 2: Go through the list and count only the entries equal to 1/2. - Day 2: 1/2 → count = 1 - Day 4: 1/2 → count = 2 - Day 6: 1/2 → count = 3 - Day 9: 1/2 → count = 4 Step 3: Check if any other days have 1/2. Day 1: 1/4 → no Day 3: 3/4 → no Day 5: 1/4 → no Day 7: 3/4 → no Day 8: 1/4 → no Day 10: 1/4 → no Step 4: Total count for 1/2 inch = 4. So, Liam recorded exactly 1/2 inch of rainfall on 4 days. ANSWER: 4

  2. Liam measured the lengths of 9 different earthworms he found in his garden after a rainstorm. He measured each worm to the nearest eighth of an inch and recorded these lengths: 1 5/8 in, 1 3/8 in, 1 7/8 in, 1 5/8 in, 1 3/8 in, 1 5/8 in, 1 7/8 in, 1 3/8 in, and 1 7/8 in. He wants to create a line plot of his data. How many earthworms are longer than 1 1/2 inches? Answer: 6 Solution: Convert 1 1/2 inches to eighths: 1 1/2 = 1 4/8 inches. Compare each worm's length to 1 4/8 inches. - 1 5/8 in: 1 5/8 is greater than 1 4/8.
    Full step-by-step solution

    Step 1: Convert 1 1/2 inches to eighths: 1 1/2 = 1 4/8 inches. Step 2: Compare each worm's length to 1 4/8 inches. - 1 5/8 in: 1 5/8 is greater than 1 4/8. (Yes) - 1 3/8 in: 1 3/8 is less than 1 4/8. (No) - 1 7/8 in: 1 7/8 is greater than 1 4/8. (Yes) - 1 5/8 in: Greater than 1 4/8. (Yes) - 1 3/8 in: Less than 1 4/8. (No) - 1 5/8 in: Greater than 1 4/8. (Yes) - 1 7/8 in: Greater than 1 4/8. (Yes) - 1 3/8 in: Less than 1 4/8. (No) - 1 7/8 in: Greater than 1 4/8. (Yes) Step 3: Count the number of worms that are longer than 1 4/8 inches: 1 5/8 (3 worms) + 1 7/8 (3 worms) = 6 worms. The answer is 6 earthworms.

  3. A line plot shows the lengths of 6 nails in inches: 2 3/8, 2 1/2, 2 5/16, 2 11/16, 2 3/4, 2 1/8. What is the difference between the longest and shortest nail? Answer: 5/8 Solution: Convert all measurements to sixteenths to compare them. 2 3/8 = 2 + 6/16 = 2 6/16 2 1/2 = 2 + 8/16 = 2 8/16 2 5/16 = 2 + 5/16 = 2 5/16 2 11/16 = 2 + 11/16 = 2 11/16 2 3/4 = 2 + 12/16 = 2 12/16 2 1/8 = 2 + 2/16 = 2 2/16 Identify the longest and shortest nails.
    Full step-by-step solution

    Step 1: Convert all measurements to sixteenths to compare them. 2 3/8 = 2 + 6/16 = 2 6/16 2 1/2 = 2 + 8/16 = 2 8/16 2 5/16 = 2 + 5/16 = 2 5/16 2 11/16 = 2 + 11/16 = 2 11/16 2 3/4 = 2 + 12/16 = 2 12/16 2 1/8 = 2 + 2/16 = 2 2/16 Step 2: Identify the longest and shortest nails. Longest: 2 12/16 (2 3/4) Shortest: 2 2/16 (2 1/8) Step 3: Find the difference. 2 12/16 - 2 2/16 = (12/16 - 2/16) = 10/16 Step 4: Simplify the fraction. 10/16 = 5/8 The answer is 5/8.

  4. A line plot shows the lengths of 5 pencils in inches: 5 3/8, 5 7/16, 5 1/2, 5 11/16, 5 3/4. What is the difference between the longest and shortest pencil? Answer: 3/8 Solution: Convert all measurements to sixteenths of an inch: 5 3/8 = 5 + 6/16 = 5 6/16 5 7/16 = 5 + 7/16 = 5 7/16 5 1/2 = 5 + 8/16 = 5 8/16 5 11/16 = 5 + 11/16 = 5 11/16 5 3/4 = 5 + 12/16 = 5 12/16 Longest: 5 12/16 (5 3/4) Shortest: 5 6/16 (5 3/8) 5 12/16 - 5 6/16 = (12/16 - 6/16) = 6/16 6/16 = 3/8 The…
    Full step-by-step solution

    Step 1: Convert all measurements to sixteenths of an inch: 5 3/8 = 5 + 6/16 = 5 6/16 5 7/16 = 5 + 7/16 = 5 7/16 5 1/2 = 5 + 8/16 = 5 8/16 5 11/16 = 5 + 11/16 = 5 11/16 5 3/4 = 5 + 12/16 = 5 12/16 Step 2: Identify the longest and shortest pencils: Longest: 5 12/16 (5 3/4) Shortest: 5 6/16 (5 3/8) Step 3: Find the difference: 5 12/16 - 5 6/16 = (12/16 - 6/16) = 6/16 Step 4: Simplify the fraction: 6/16 = 3/8 The answer is 3/8 inch.

  5. A line plot shows the lengths of 6 pencils in inches: 5 1/8, 5 3/16, 5 1/4, 5 7/16, 5 5/8, 5 3/4. What is the difference between the longest and shortest pencil? Answer: 5/8 Solution: Convert all measurements to sixteenths to compare them. 5 1/8 = 5 + 2/16 = 5 2/16 5 3/16 = 5 + 3/16 = 5 3/16 5 1/4 = 5 + 4/16 = 5 4/16 5 7/16 = 5 + 7/16 = 5 7/16 5 5/8 = 5 + 10/16 = 5 10/16 5 3/4 = 5 + 12/16 = 5 12/16 Identify the longest and shortest pencils.
    Full step-by-step solution

    Step 1: Convert all measurements to sixteenths to compare them. 5 1/8 = 5 + 2/16 = 5 2/16 5 3/16 = 5 + 3/16 = 5 3/16 5 1/4 = 5 + 4/16 = 5 4/16 5 7/16 = 5 + 7/16 = 5 7/16 5 5/8 = 5 + 10/16 = 5 10/16 5 3/4 = 5 + 12/16 = 5 12/16 Step 2: Identify the longest and shortest pencils. Longest: 5 12/16 (5 3/4) Shortest: 5 2/16 (5 1/8) Step 3: Find the difference. 5 12/16 - 5 2/16 = (12/16 - 2/16) = 10/16 Step 4: Simplify the fraction. 10/16 = 5/8 The answer is 5/8 inch.

  6. Mere is measuring the lengths of different colored pencils in her art set. She measures each pencil to the nearest eighth of an inch and records the lengths: 2 1/8 in, 2 3/8 in, 2 1/2 in, 2 5/8 in, 2 1/8 in, 2 7/8 in, 2 3/8 in, 2 5/8 in, 2 1/2 in, 2 7/8 in, 2 1/8 in, and 2 5/8 in. If she makes a line plot of all these measurements, how many pencils are longer than 2 3/8 inches? Answer: 7 pencils Solution: List all measurements: 2 1/8, 2 3/8, 2 1/2, 2 5/8, 2 1/8, 2 7/8, 2 3/8, 2 5/8, 2 1/2, 2 7/8, 2 1/8, 2 5/8 Convert all measurements to eighths for easy comparison: - 2 1/8 = 2 1/8 - 2 3/8 = 2 3/8 - 2 1/2 = 2 4/8 - 2 5/8 = 2 5/8 - 2 7/8 = 2 7/8 Find measurements greater than 2 3/8 inches.
    Full step-by-step solution

    Step 1: List all measurements: 2 1/8, 2 3/8, 2 1/2, 2 5/8, 2 1/8, 2 7/8, 2 3/8, 2 5/8, 2 1/2, 2 7/8, 2 1/8, 2 5/8 Step 2: Convert all measurements to eighths for easy comparison: - 2 1/8 = 2 1/8 - 2 3/8 = 2 3/8 - 2 1/2 = 2 4/8 - 2 5/8 = 2 5/8 - 2 7/8 = 2 7/8 Step 3: Find measurements greater than 2 3/8 inches. These are: 2 1/2 (2 4/8), 2 5/8, and 2 7/8. Step 4: Count how many pencils have each of these lengths: - 2 1/2 in (2 4/8): appears 2 times (pencils 3 and 9) - 2 5/8 in: appears 3 times (pencils 4, 8, and 12) - 2 7/8 in: appears 2 times (pencils 6 and 10) Step 5: Add the counts: 2 + 3 + 2 = 7 pencils The answer is 7 pencils.

  7. Noah is measuring the lengths of different colored ribbons in his craft box. He records each ribbon's length in inches and creates a line plot. The lengths are: 1 1/8, 1 1/4, 1 3/8, 1 1/2, 1 5/8, 1 3/4, 1 7/8, 2, 2 1/8, 2 1/4, 2 3/8, 2 1/2, 2 5/8, 2 3/4, 2 7/8, 3. What is the difference in inches between the longest ribbon and the shortest ribbon? Answer: 1 7/8 Solution: Identify the shortest ribbon length from the list: 1 1/8 inches. Step 2: Identify the longest ribbon length from the list: 3 inches. Step 3: Write 3 as a mixed number with a denominator of 8: 3 = 2 8/8.
    Full step-by-step solution

    Step 1: Identify the shortest ribbon length from the list: 1 1/8 inches. Step 2: Identify the longest ribbon length from the list: 3 inches. Step 3: Write 3 as a mixed number with a denominator of 8: 3 = 2 8/8. Step 4: Subtract: 2 8/8 - 1 1/8 = (2 - 1) + (8/8 - 1/8) = 1 + 7/8 = 1 7/8. The difference between the longest and shortest ribbon is 1 7/8 inches.

  8. A line plot shows the lengths of 5 ribbons in inches: 6 3/8, 6 7/16, 6 1/2, 6 11/16, 6 5/8. What is the difference between the longest and shortest ribbon? Answer: 5/16 Solution: Convert all measurements to sixteenths of an inch: 6 3/8 = 6 + 6/16 = 6 6/16 6 7/16 = 6 + 7/16 = 6 7/16 6 1/2 = 6 + 8/16 = 6 8/16 6 11/16 = 6 + 11/16 = 6 11/16 6 5/8 = 6 + 10/16 = 6 10/16 Longest: 6 11/16 Shortest: 6 6/16 (6 3/8) 6 11/16 - 6 6/16 = (11/16 - 6/16) = 5/16 Check if 5/16 can be…
    Full step-by-step solution

    Step 1: Convert all measurements to sixteenths of an inch: 6 3/8 = 6 + 6/16 = 6 6/16 6 7/16 = 6 + 7/16 = 6 7/16 6 1/2 = 6 + 8/16 = 6 8/16 6 11/16 = 6 + 11/16 = 6 11/16 6 5/8 = 6 + 10/16 = 6 10/16 Step 2: Identify the longest and shortest ribbons: Longest: 6 11/16 Shortest: 6 6/16 (6 3/8) Step 3: Find the difference: 6 11/16 - 6 6/16 = (11/16 - 6/16) = 5/16 Step 4: Check if 5/16 can be simplified. Since 5 and 16 share no common factors other than 1, the fraction is already in simplest form. The answer is 5/16 inch.