5th Grade Dividing Unit Fractions and Whole Numbers Test with Point Values (PDF)

5th Grade math test: Dividing Unit Fractions and Whole Numbers – Maths PDF


This 45-minute test covers dividing unit fractions by whole numbers and whole numbers by unit fractions (5.NF.B.7). There are 9 questions worth 20 points in all. Show your work, include units in word problems, and check your answers.

About this test
  • Grade: Grade 5
  • Chapter: Dividing Unit Fractions and Whole Numbers
  • Standards: 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c
  • Time: 45 minutes
  • Total: 20 points

Question 1 – Unit fractions divided by whole numbers [2 pts]

Answer each part.

  1. \(\frac{1}{3}\div2\) (1 point)
  2. \(\frac{1}{5}\div3\) (1 point)

Question 2 – Whole numbers divided by unit fractions [2 pts]

Answer each part.

  1. \(4\div\frac{1}{3}\) (1 point)
  2. \(7\div\frac{1}{2}\) (1 point)

Question 3 – Read the model [2 pts]

Solve. The model shows one half of a bar cut into equal pieces. Write a division equation for the model and find the quotient.

One whole cut into 2 equal parts1/2Cut that part into 4 equal pieces
A bar and its first half.

Question 4 – Compare two quotients [2 pts]

Solve. Which is greater, \(6\div\frac{1}{4}\) or \(6\div\frac{1}{3}\)? Show the value of each.

Question 5 – Missing dividend [2 pts]

Find the number that makes the equation true: \(\text{?}\div3=\frac{1}{15}\). Show how you know.

Question 6 – Number line jumps [2 pts]

Solve. The number line shows jumps of equal size from 0 to 3. Write a division equation and find the quotient.

0123Each jump is 1/2
Equal jumps from 0 to 3.

Question 7 – Slices of cheese [2 pts]

Solve. Liam has \(\frac{1}{4}\) pound of cheese. He cuts it into 3 equal slices. How much does each slice weigh?

One whole cut into 4 equal parts1/4Cut that part into 3 equal pieces
One fourth pound of cheese cut into slices.

Question 8 – Servings of rice [3 pts]

Solve. Aisha has 5 cups of rice. Each serving is \(\frac{1}{3}\) cup.

  1. How many servings can she make? (1 point)
  2. Her family eats 6 servings. How many servings are left? (1 point)
  3. How many cups of rice are left? (1 point)

Question 9 – Juice bottles [3 pts]

Solve. Mei has \(\frac{1}{2}\) gallon of juice. A cooler holds 2 gallons of water.

  1. Mei pours the juice equally into 4 bottles. How much juice is in each bottle? (1 point)
  2. Noah fills \(\frac{1}{8}\)-gallon bottles from the cooler. How many bottles can he fill? (1 point)
  3. Explain why the answer to part (a) is less than \(\frac{1}{2}\) but the answer to part (b) is greater than 2. (1 point)

View solution

All Grade 5 chapters: Grade 5 math.

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