Testinar Grade 4 math

Line Plots with Fractions

Students will create and interpret line plots containing fractional measurement data.

CH07-04 Measurement, Data, and Angles
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.
  1. Look at the line plot of seed lengths (in inches). How many X marks are above \(\frac{2}{4}\) inch?

    Line Plots with Fractions visual for G4-C07-T04-Q001
    1. \(1\)
    2. \(2\)
    3. \(3\)
    4. \(5\)
  2. Look at the line plot showing pencil lengths (in inches): How many pencils measured \(\frac{2}{4}\) inch?

    Line Plots with Fractions visual for G4-C07-T04-Q002
    1. \(1\)
    2. \(2\)
    3. \(3\)
    4. \(4\)
  3. Look at the line plot of plant growth measurements (in inches). How many X marks are above \(\frac{2}{8}\) inch?

    Line Plots with Fractions visual for G4-C07-T04-Q003
    1. \(1\)
    2. \(2\)
    3. \(3\)
    4. \(4\)
  4. Look at the line plot of measurements in halves of an inch. How many X marks are above \(\frac{1}{2}\) inch?

    Line Plots with Fractions visual for G4-C07-T04-Q004
    1. \(1\)
    2. \(2\)
    3. \(3\)
    4. \(4\)
  5. Look at the line plot of ribbon lengths in fourths of an inch. Which length has the most X marks?

    Line Plots with Fractions visual for G4-C07-T04-Q005
    1. \(\frac{1}{4}\) inch
    2. \(\frac{1}{2}\) inch
    3. \(\frac{3}{4}\) inch
    4. \(1\) inch
  6. Here is a line plot showing sticker lengths (in inches): What is the difference in inches between the longest and shortest stickers?

    Line Plots with Fractions visual for G4-C07-T04-Q006
    1. \(\frac{1}{8}\) inch
    2. \(\frac{2}{8}\) inch
    3. \(\frac{3}{8}\) inch
    4. \(\frac{4}{8}\) inch
  7. Students recorded the thickness of books using fourths of an inch. The data are: \(\frac{2}{4}\), \(\frac{3}{4}\), \(\frac{2}{4}\), \(\frac{2}{4}\). If you plot this data, how many X marks will be above \(\frac{2}{4}\)?

    1. \(1\)
    2. \(2\)
    3. \(3\)
    4. \(4\)
  8. A baker measured flour scoops in eighths of a cup. The measurements are: \(\frac{2}{8}\), \(\frac{3}{8}\), \(\frac{2}{8}\), \(\frac{4}{8}\), \(\frac{3}{8}\), \(\frac{3}{8}\). Which measurement appears most often?

    1. \(\frac{2}{8}\) cup
    2. \(\frac{3}{8}\) cup
    3. \(\frac{4}{8}\) cup
    4. \(\frac{5}{8}\) cup
Teacher and parent reference

Answer key and explanations

  1. B. \(2\)

    On the line plot, count the X marks stacked above \(\frac{2}{4}\) inch. There are exactly \(\mathbf{2}\) X marks at that position.

  2. C. \(3\)

    Look at the line plot where \(\frac{2}{4}\) inch is marked. Count the X marks stacked above that tick: we see \(\mathbf{3}\) marks.

  3. C. \(3\)

    On the line plot, count the X marks stacked above \(\frac{2}{8}\) inch. There are \(\mathbf{3}\) X marks.

  4. B. \(2\)

    On the line plot, count the X marks stacked above \(\frac{1}{2}\) inch. There are exactly \(\mathbf{2}\) X marks.

  5. C. \(\frac{3}{4}\) inch

    On the line plot, \(\frac{1}{4}\) inch has \(2\) X marks, while \(\frac{3}{4}\) inch has \(3\) X marks. So \(\mathbf{\frac{3}{4}}\) inch has the most.

  6. C. \(\frac{3}{8}\) inch

    The shortest sticker is at \(\frac{1}{8}\) inch and the longest is at \(\frac{4}{8}\) inch. The difference is \(\frac{4}{8} - \frac{1}{8} = \mathbf{\frac{3}{8}}\) inch.

  7. C. \(3\)

    We count the measurement \(\frac{2}{4}\) inch in the data: it appears \(3\) times. So there are \(\mathbf{3}\) X marks above it.

  8. B. \(\frac{3}{8}\) cup

    Let us count: \(\frac{2}{8}\) cup appears \(2\) times, \(\frac{3}{8}\) cup appears \(3\) times, and \(\frac{4}{8}\) cup appears \(1\) time. So \(\mathbf{\frac{3}{8}}\) cup is the most common.

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