5th Grade Line Plots and Data Test with Point Values (PDF)

5th Grade math test: Line Plots and Data – Maths PDF


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.

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

Question 1 – Pieces of wire [3 pts]

Solve. The line plot shows the lengths of 10 pieces of wire in inches.

01/41/23/41Length of a wire (inches)
Line plot. Each X is one measurement. Label: Length of a wire (inches).
  1. How many pieces are longer than \(\frac{1}{2}\) inch? (1 point)
  2. How much longer is the longest piece than the shortest piece? (1 point)
  3. What is the total length of all 10 pieces? (1 point)

Question 2 – Plot the nails [2 pts]

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

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

Question 3 – Bags of flour [2 pts]

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?

Before1/411/4
Each tall box holds 1 pound when full.

Question 4 – Cans of paint [3 pts]

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

01/41/23/41Paint in a can (gallons)
Line plot. Each X is one measurement. Label: Paint in a can (gallons).
  1. How many cans have less than \(\frac{3}{4}\) gallon? (1 point)
  2. How many gallons of paint are there in all? (1 point)
  3. The painter wants every can to hold 1 gallon. How many more gallons does she need in all? (1 point)

Question 5 – Two bottles [2 pts]

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?

Question 6 – Lengths of rope [2 pts]

Solve. The line plot shows the lengths of 8 ropes in yards.

01/81/43/81/25/83/47/81Length of a rope (yards)
Line plot. Each X is one measurement. Label: Length of a rope (yards).
  1. How many ropes are longer than \(\frac{1}{4}\) yard? (1 point)
  2. Find the total length of the ropes that are \(\frac{1}{2}\) yard or \(\frac{5}{8}\) yard. (1 point)

Question 7 – Running log [2 pts]

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?

Question 8 – Rain gauge [2 pts]

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 – Who has more [2 pts]

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.

View solution

All Grade 5 chapters: Grade 5 math.

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