5th Grade Line Plots and Data Test with Answer Key (Free PDF)

Cover of the book Grade 5 Math Tests with Answer Keys (PDF)

Download as a PDFThe Grade 5 tests book with answer keysPrintable PDFSee the book ›

Sommaire

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

Key takeaway: This test helps fifth grade students show that they can read and build line plots with fractions and use them to find totals, differences, and equal shares.

Topic: Line Plots and Data (5th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 5.MD.B.2
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This test helps fifth grade students show that they can read and build line plots with fractions and use them to find totals, differences, and equal shares. Also, it is worth 20 points and takes 45 minutes.

The nine questions begin with a plot of wire lengths, then build a plot of nails and level out flour in bags. Then, later questions read plots of paint and rope, level out two bottles, and add running and rain data. Also, the last question compares two students’ Xs. Then, show every fraction step for partial credit.

This 45-minute test covers line plots with fractions in halves, fourths and eighths (5.MD.B.2). There are 9 questions worth 20 points. Read each plot carefully, show your fraction work, and write units in your answers.

Time and points

About this test

Grade: Grade 5
Chapter: Line Plots and Data
Standards: 5.MD.B.2
Time: 45 minutes
Total: 20 points

5th grade line plots test: questions

1 – Pieces of wire [3 pts]

First, solve. The line plot shows the lengths of 10 pieces of wire in inches.

Line plot. Each X is one measurement. Label: Length of a wire (inches).

How many pieces are longer than \(\frac{1}{2}\) inch? (1 point)
How much longer is the longest piece than the shortest piece? (1 point)
What is the total length of all 10 pieces? (1 point)

2 – Plot the nails [2 pts]

Next, solve. Six nails measure \(\frac{1}{8}, \frac{3}{8}, \frac{3}{8}, \frac{1}{2}, \frac{5}{8}, \frac{3}{8}\) inch.

Draw a number line from 0 to 1 marked in eighths and make a line plot of the data. (1 point)
How many nails are longer than \(\frac{1}{4}\) inch? (1 point)

3 – Bags of flour [2 pts]

Then, solve. Three bags of flour hold \(\frac{1}{4}\), 1 and \(\frac{1}{4}\) pound. The flour is poured together and shared equally among the 3 bags. How much flour is in each bag?

Each tall box holds 1 pound when full.

4 – Cans of paint [3 pts]

Now, solve. The line plot shows the amount of paint, in gallons, left in 8 cans.

Line plot. Each X is one measurement. Label: Paint in a can (gallons).

How many cans have less than \(\frac{3}{4}\) gallon? (1 point)
How many gallons of paint are there in all? (1 point)
The painter wants every can to hold 1 gallon. How many more gallons does she need in all? (1 point)

Question 5 and after

5 – Two bottles [2 pts]

Also, solve. One bottle holds \(\frac{5}{8}\) gallon of water and another holds \(\frac{7}{8}\) gallon. The water is poured together and shared equally between the two bottles. How much water is in each bottle?

6 – Lengths of rope [2 pts]

First, solve. The line plot shows the lengths of 8 ropes in yards.

Line plot. Each X is one measurement. Label: Length of a rope (yards).

How many ropes are longer than \(\frac{1}{4}\) yard? (1 point)
Find the total length of the ropes that are \(\frac{1}{2}\) yard or \(\frac{5}{8}\) yard. (1 point)

7 – Running log [2 pts]

Next, solve. Priya ran \(\frac{1}{2}\) mile on Monday, \(\frac{3}{4}\) mile on Tuesday, \(\frac{1}{2}\) mile on Wednesday and \(1\frac{1}{4}\) miles on Thursday. Find the total distance. If she had run the same distance each day, how far would that be?

8 – Rain gauge [2 pts]

Then, solve. The rain gauge showed \(\frac{3}{8}\) inch on Monday, \(\frac{5}{8}\) inch on Tuesday, \(\frac{1}{4}\) inch on Wednesday and \(\frac{1}{2}\) inch on Thursday. The town wants 3 inches this week. How many more inches are needed?

Question 9 and after

9 – Who has more [2 pts]

Now, solve. Ethan’s line plot has 4 X’s above \(\frac{1}{4}\). Maya’s line plot has 2 X’s above \(\frac{3}{4}\). Whose X’s show the greater total? Show how you know.

Key facts behind this 5th grade line plots test

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

Students count Xs at the given mark when a question says longer than. Instead, count only the Xs to the right.
Students add the marks instead of multiplying by the Xs. Also, multiply each value by its number of Xs.
Students divide by the wrong number when they level out amounts. Instead, divide by how many containers share.
Students compare two plots by the number of Xs only. Multiply each by its value, then compare the totals.

Test-taking strategy

Read each question twice and underline phrases like less than or at least. Then, they tell which Xs to count.
Write the fraction addition for each stack on its own line. Clear steps earn partial credit. Repeat this habit on every problem for the best results.
Parents can review the night before by asking the child to build a plot from five measurements. Repeat this habit on every problem for the best results.

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

5th grade line plots test: frequently asked questions

How do I compare two line plots with different values?

Find the total for each plot by multiplying each value by its number of Xs. The plot with the greater total shows more. Do not decide by counting the Xs alone. A quick check like this takes only a few seconds and prevents most errors.

How should I show work on a leveling problem?

Write the sum of the amounts, then the division by the number of containers, then the answer with units. Showing all three steps earns the most credit. A quick check like this takes only a few seconds and prevents most errors.

What should I do when the fractions have different denominators?

Rename them with a common denominator before you add. Eighths and fourths combine in eighths, because one fourth is two eighths. Then add the numerators. A quick check like this takes only a few seconds and prevents most errors.

All Grade 5 chapters: Grade 5 math.

Voter.. post

Free printable PDF