Testinar Grade 5 math

Introduction to Probability

Students will reason about simple probability using data, outcomes, and everyday contexts.

CH08-06 Measurement and Data
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. The line plot shows the heights of plants in Mrs.\ Garcia's garden: What is the most common plant height?

    Making Line Plots with Fraction Measurements visual for G5-C06-T04-Q001
    1. 3 inches
    2. 4 inches
    3. 5 inches
    4. 6 inches

  2. A student is making a line plot for these pencil lengths, in inches: \[ 4\frac{1}{4},\;4\frac{1}{2},\;4\frac{1}{2},\;4\frac{3}{4},\;4\frac{3}{4},\;4\frac{3}{4},\;5,\;5 \] How many X's should be placed above \(4\frac{1}{2}\) inches?

    1. 1
    2. 4
    3. 3
    4. 2

  3. The line plot displays rainfall amounts (in inches) recorded over 10 days: What is the total rainfall recorded over the 10 days?

    Making Line Plots with Fraction Measurements visual for G5-C06-T04-Q003
    1. \(4\frac{1}{2}\) inches
    2. \(5\) inches
    3. \(5\frac{1}{2}\) inches
    4. \(6\) inches

  4. The line plot shows the weights (in pounds) of 12 puppies at a shelter: How many puppies weigh \(5\frac{1}{2}\) pounds?

    Making Line Plots with Fraction Measurements visual for G5-C06-T04-Q004
    1. 2
    2. 3
    3. 4
    4. 5

  5. The line plot shows bean plant growth (in centimeters) for 11 students' projects: Which height is the least common?

    Making Line Plots with Fraction Measurements visual for G5-C06-T04-Q005
    1. \(2\frac{1}{4}\) cm
    2. \(2\frac{1}{2}\) cm
    3. \(2\frac{3}{4}\) cm
    4. \(3\) cm

  6. The line plot shows the number of pencils students sharpened on 8 days: How many data points are shown on the line plot?

    Making Line Plots with Fraction Measurements visual for G5-C06-T04-Q006
    1. 6
    2. 7
    3. 9
    4. 8

  7. The line plot displays reading time (in hours) spent on homework by 10 students: What is the most common reading time?

    Making Line Plots with Fraction Measurements visual for G5-C06-T04-Q007
    1. \(\frac{3}{4}\) hour
    2. \(1\) hour
    3. \(1\frac{1}{4}\) hours
    4. \(1\frac{1}{2}\) hours

  8. The line plot displays the lengths of toy cars (in inches) collected by a child: How many cars are less than 3 inches long?

    Making Line Plots with Fraction Measurements visual for G5-C06-T04-Q009
    1. 2
    2. 3
    3. 4
    4. 5
Teacher and parent reference

Answer key and explanations

  1. C. 5 inches

    Count the X marks at each height on the line plot. The height with the greatest number of X marks is 5 inches, which has 4 plants. Therefore, the most common plant height is 5 inches.

  2. D. 2

    The measurement \(4\frac{1}{2}\) appears two times in the list, so the line plot should have 2 X's above \(4\frac{1}{2}\).

  3. C. \(5\frac{1}{2}\) inches

    Add the rainfall amounts shown: \(0 + 2(\frac{1}{4}) + 3(\frac{1}{2}) + 2(\frac{3}{4}) + 2(1) = 0 + \frac{1}{2} + 1\frac{1}{2} + 1\frac{1}{2} + 2 = 5\frac{1}{2}\) inches.

  4. B. 3

    Count the X marks above \(5\frac{1}{2}\). There are 3 X marks, so 3 puppies weigh exactly \(5\frac{1}{2}\) pounds.

  5. A. \(2\frac{1}{4}\) cm

    Count the X marks above each height. The height \(2\frac{1}{4}\) cm has only 1 mark, so it is the least common.

  6. D. 8

    Count all the X marks on the line plot. There are 1 + 2 + 3 + 2 = 8 X marks total, meaning 8 data points.

  7. C. \(1\frac{1}{4}\) hours

    Count the X marks above each value. The value \(1\frac{1}{4}\) has 3 marks, which is more than any other value.

  8. B. 3

    Count X marks above 1 and 2 inches only. There are 2 marks at 1 inch and 1 mark at 2 inches, totaling 3 cars less than 3 inches.

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