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. A line plot shows two nails measuring 1/8 inch and 3/8 inch. What is their combined length in inches? Give your answer as a decimal.

    Answer: ______________

  2. A line plot shows 4 X marks above 1/2 inch. What total length do those marks show?

    • 2 inches
    • 1 inch
    • 3 inches
    • 4 inches

  3. Look at the plot. How many pencils measured 1/2 inch?

    Length (inches). Each X is one observation. 0: 0 observations; 1/8: 0 observations; 1/4: 2 observations; 3/8: 1 observation; 1/2: 3 observations; 5/8: 2 observations; 3/4: 0 observations; 7/8: 0 observations; 1: 0 observations.Each X is one observation.01/81/43/81/25/83/47/81Length (inches)
    • 3
    • 2
    • 4

  4. On a line plot, each X stands for one measurement, so counting the Xs above a value tells you how many things were that size.

    Circle one:   True   False

  5. A line plot shows lengths 1/2 cm, 1/4 cm, 1/4 cm and 1/2 cm. What is the total in centimetres? Give your answer as a decimal.

    Answer: ______________

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

    Length (inches). Each X is one observation. 0: 0 observations; 1/8: 0 observations; 1/4: 2 observations; 3/8: 1 observation; 1/2: 3 observations; 5/8: 2 observations; 3/4: 0 observations; 7/8: 0 observations; 1: 0 observations.Each X is one observation.01/81/43/81/25/83/47/81Length (inches)
    • 3/8 in and 5/8 in
    • 1/4 in and 3/8 in
    • 1/2 in and 1/4 in

  7. A line plot shows three crosses at 1/4 litre, two at 1/2 litre and one at 3/4 litre. What is the total volume?

    • 2 litres
    • 2.5 litres
    • 3 litres
    • 1.5 litres

  8. Priya plotted one stick at 1/4 inch, one at 1/2 inch and one at 3/4 inch. She says the three sticks total 1 1/2 inches. Is Priya right?

    Circle one:   True   False

  9. Six jars hold 1/8, 1/8, 1/4, 1/2, 1/2, and 3/4 cup of water. If you combine all the water and share it equally among the 6 jars, how much does each jar get?

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

  10. A line plot shows rainfall: Monday 1/8 inch, Tuesday 3/8 inch, Wednesday 5/8 inch and Thursday 7/8 inch. What is the total rainfall?

    • 1 inch
    • 3 inches
    • 2 1/2 inches
    • 2 inches
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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. 0.5 · The combined length is 0.5 inches because 1/8 + 3/8 = 4/8, which equals 1/2 or 0.5.
  2. 2 inches · The total is 2 inches because 4 groups of 1/2 inch make 4/2 inches, which simplifies to 2.
  3. 3 · Three X's sit above 1/2 inch, so 3 pencils were that length.
  4. True · Each X represents one measurement. Count the Xs above a length to find how many pencils measured that length.
  5. 1.5 · The total is 1.5 cm because the halves make 1 and the quarters make 0.5.
  6. 3/8 in and 5/8 in · 3/8 + 5/8 = 8/8, which equals 1 whole inch.
  7. 2.5 litres · The total is 2.5 litres because three quarters plus two halves plus three quarters equals 10/4, which is 2.5.
  8. True · Priya is right. A quarter plus a half plus three quarters equals 6/4, which is 1 1/2.
  9. 3/8 cup · In eighths, the total is 1/8 + 1/8 + 2/8 + 4/8 + 4/8 + 6/8 = 18/8 cups. Sharing among 6 jars gives 3/8 cup each.
  10. 2 inches · The total is 2 inches because the tops add to 16/8, which simplifies to 2.
Worksheet · LightMySky