5th Grade Dividing Unit Fractions and Whole Numbers Test with Point Values (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.
- 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.
- \(\frac{1}{3}\div2\) (1 point)
- \(\frac{1}{5}\div3\) (1 point)
Question 2 – Whole numbers divided by unit fractions [2 pts]
Answer each part.
- \(4\div\frac{1}{3}\) (1 point)
- \(7\div\frac{1}{2}\) (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.
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.
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?
Question 8 – Servings of rice [3 pts]
Solve. Aisha has 5 cups of rice. Each serving is \(\frac{1}{3}\) cup.
- How many servings can she make? (1 point)
- Her family eats 6 servings. How many servings are left? (1 point)
- 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.
- Mei pours the juice equally into 4 bottles. How much juice is in each bottle? (1 point)
- Noah fills \(\frac{1}{8}\)-gallon bottles from the cooler. How many bottles can he fill? (1 point)
- 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)
All Grade 5 chapters: Grade 5 math.
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