Line plots with fractions of a unit · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Line plots with fractions of a unit

Mathematics · Data & Statistics · ages 10-11
Name ______________________   Date ____________
  1. How many pencils were measured in all?

    1/4 in23/8 in11/2 in35/8 in2
    • 6
    • 7
    • 8
  2. Look at the plot. How many pencils measured 1/2 inch?

    1/4 in23/8 in11/2 in35/8 in2
    • 2
    • 3
    • 4
  3. On a line plot, each mark stands for one measurement, so counting the marks tells you how many things were that size.

    Circle one:   True   False

  4. The plot shows 3 pencils at 1/2 inch each. How many eighths of an inch is that altogether? (1/2 inch equals 4 eighths.)

    Answer: ______________

  5. What is the total length of the two pencils that each measured 1/4 inch?

    • 1/4 inch
    • 1/2 inch
    • 1 inch
  6. Which pair of lengths from the plot adds up to exactly 1 inch?

    • 1/4 in and 3/8 in
    • 3/8 in and 5/8 in
    • 1/2 in and 1/4 in
  7. Mia added the pencil lengths from the plot as 1/4 + 3/8 + 1/2 + 5/8 and stopped there. What did she forget to do?

    • Convert the fractions to a common denominator
    • Count each length as many times as it appears on the plot
    • Round each length to the nearest inch
  8. Four beakers hold 1/2, 1/2, 1/4, and 1/4 cup of water. If you pour it all together and share it equally among the 4 beakers, how much does each beaker get?

    • 1/4 cup
    • 3/8 cup
    • 1/2 cup
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Line plots with fractions of a unit W1-mt_IHipFGTFEY-s1

  1. 8 · Add every bar's count: 2 + 1 + 3 + 2 = 8 pencils.
  2. 3 · The bar at 1/2 inch shows 3 pencils were that length.
  3. True · That's right. The height at each length tells you how many measurements landed there.
  4. 12 · Each 1/2 inch pencil equals 4 eighths, so 3 pencils give 3 x 4 = 12 eighths.
  5. 1/2 inch · 1/4 + 1/4 = 2/4, which simplifies to 1/2 inch.
  6. 3/8 in and 5/8 in · 3/8 + 5/8 = 8/8, which equals 1 whole inch.
  7. Count each length as many times as it appears on the plot · Some lengths have more than one pencil on the plot, so they need to be added in more than once.
  8. 3/8 cup · The total is 1/2 + 1/2 + 1/4 + 1/4 = 1 1/2 cups. Split 4 ways, that is 3/8 cup each.
Worksheet · LightMySky