5th Grade Line Plots and Data Test Answer Key and Scoring Guide (PDF)

5th grade line plots test answer key – Maths PDF

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This 5th grade line plots test answer key covers line plots and data (Common Core 5.MD.B.2), with a free PDF to print.

Key takeaway: This answer key helps fifth grade students see how each point on the line plot test was earned.

Topic: Line Plots and Data (5th grade)
Content: Worked solutions and a scoring guide for 9 questions
Standards: 5.MD.B.2
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fifth grade students see how each point on the line plot test was earned. Also, it gives complete solutions to all nine questions, with counts, fraction arithmetic, and units shown clearly.

Question 2 describes the finished plot of nails, question 3 levels out flour, question 5 shares two bottles, question 7 adds the running log, and question 9 compares two students’ Xs. Add your points out of 20, then spend about 15 minutes redoing every question that lost credit. Then, recount the Xs on each plot.

Use this key to score the test out of 20 points. Each solution shows the work and a scoring guide. Give partial credit when the method is right but a single fraction operation is wrong.

Grade 5 · Common Core State Standards: 5.MD.B.2

5th grade line plots test answer key: worked solutions

1 – Pieces of wire [3 pts]

3 + 1 = 4 pieces
\(1-\frac{1}{4}=\frac{3}{4}\) inch
\(2\times\frac{1}{4}+4\times\frac{1}{2}+3\times\frac{3}{4}+1=\frac{1}{2}+2+\frac{9}{4}+1=5\frac{3}{4}\) inches

Scoring: 1 point per part.

2 – Plot the nails [2 pts]

Place 1 X above \(\frac{1}{8}\), 3 above \(\frac{3}{8}\), 1 above \(\frac{1}{2}\) and 1 above \(\frac{5}{8}\).

Line plot. Each X is one measurement. Label: Length of a nail (inches).
Nails longer than \(\frac{1}{4}\) inch: \(3+1+1=5\) nails.

Scoring: 1 point for a correct plot (6 X’s in the right places), 1 point for 5 nails.

3 – Bags of flour [2 pts]

Total: \(\frac{1}{4}+1+\frac{1}{4}=1\frac{1}{2}\) pounds.

\(1\frac{1}{2}\div3=\frac{3}{2}\div3=\frac{1}{2}\).

Each tall box holds 1 pound when full.

\(\frac{1}{2}\) pound

Scoring: 1 point for the total, 1 point for dividing to get \(\frac{1}{2}\) pound.

Question 4 and after

4 – Cans of paint [3 pts]

2 + 3 = 5 cans
\(2\times\frac{1}{4}+3\times\frac{1}{2}+\frac{3}{4}+2\times1=\frac{1}{2}+\frac{3}{2}+\frac{3}{4}+2=4\frac{3}{4}\) gallons
\(8-4\frac{3}{4}=3\frac{1}{4}\) gallons

Scoring: 1 point per part.

5 – Two bottles [2 pts]

Total: \(\frac{5}{8}+\frac{7}{8}=\frac{12}{8}=\frac{3}{2}\) gallons.

\(\frac{3}{2}\div2=\frac{3}{4}\).

\(\frac{3}{4}\) gallon

Scoring: 1 point for the total, 1 point for the equal share.

6 – Lengths of rope [2 pts]

3 + 2 + 1 = 6 ropes
\(3\times\frac{1}{2}+2\times\frac{5}{8}=\frac{12}{8}+\frac{10}{8}=\frac{22}{8}=2\frac{3}{4}\) yards

Scoring: 1 point per part.

7 – Running log [2 pts]

Total: \(\frac{2}{4}+\frac{3}{4}+\frac{2}{4}+\frac{5}{4}=\frac{12}{4}=3\) miles.

\(3\div4=\frac{3}{4}\) mile each day.

3 miles; \(\frac{3}{4}\) mile per day

Scoring: 1 point for the total, 1 point for the equal share.

8 – Rain gauge [2 pts]

Total: \(\frac{3}{8}+\frac{5}{8}+\frac{2}{8}+\frac{4}{8}=\frac{14}{8}=1\frac{3}{4}\) inches.

\(3-1\frac{3}{4}=1\frac{1}{4}\).

\(1\frac{1}{4}\) inches

Scoring: 1 point for the total, 1 point for the difference.

Question 9 and after

9 – Who has more [2 pts]

Ethan: \(4\times\frac{1}{4}=1\). Maya: \(2\times\frac{3}{4}=\frac{6}{4}=1\frac{1}{2}\).

Maya’s total is greater, by \(\frac{1}{2}\)

Scoring: 1 point for each correct total, shown with the comparison.

Total score

Total

20 points

Key facts behind this 5th grade line plots test answer key

Key facts

Each X on a line plot stands for one measurement.
Next, multiply the count of X’s by the fraction to find the total at one mark.
Add the totals from all marks to find the sum of all the data.
Equal share = total amount ÷ number of containers.
Greatest value minus least value tells how far the data spread.

Common mistakes with this 5th grade line plots test answer key

Students lose points for a missing X on the nail plot. Instead, count one X per nail, which gives six in all.
Students skip the division in questions 3 and 5. Also, leveling needs both the sum and the division.
Students compare the Xs only in question 9. Multiply by the values first. Slow down at that step and check it twice.
Students forget units in question 8. Instead, the answer is in inches. Slow down at that step and check it twice.

How to learn from your test

Sort lost points into reading plots, adding fractions, and leveling. Practice the weakest group first. Repeat this habit on every problem for the best results.
Redo question 8 with new amounts of rain. Finally, new numbers show whether you can add four fractions.
Teachers can ask students to explain one correction using the plot. Repeat this habit on every problem for the best results.

Download the 5th grade line plots test answer key as a PDF with the button below and keep it with your notes.

5th grade line plots test answer key: frequently asked questions

What does the plot in question 2 look like?

It has one X above one eighth, three Xs above three eighths, one X above one half, and one X above five eighths. Also, that makes six Xs for six nails, on a number line from 0 to 1 marked in eighths.

How much flour is in each bag in question 3?

The bags hold one fourth, 1, and one fourth pound, so the total is one and one half pounds. So, dividing by 3 gives one half pound in each bag. A quick check like this takes only a few seconds and prevents most errors.

Whose Xs show more in question 9?

Ethan has 4 Xs above one fourth, which total 1. Maya has 2 Xs above three fourths, which total one and one half. So Maya’s Xs show more. A quick check like this takes only a few seconds and prevents most errors.

All Grade 5 chapters: Grade 5 math.

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