This grade 5 divide fractions test checks dividing unit fractions and whole numbers in 45 minutes, with 9 questions for a total of 20 points.
This test checks Common Core 5.NF.B.7: dividing unit fractions by whole numbers and whole numbers by unit fractions. Show your work for every question. You have 45 minutes. No calculator is allowed. The test is worth 20 points.
- Grade: Grade 5
- Chapter: Dividing Unit Fractions and Whole Numbers
- Common Core: 5.NF.B.7
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 2 pts; Question 4: 2 pts; Question 5: 2 pts; Question 6: 2 pts; Question 7: 3 pts; Question 8: 3 pts; Question 9: 2 pts)
Grade 5 Divide Fractions Test: questions 1–5
Question 1: Unit fractions divided by whole numbers (2 points)
- Find \(\frac{1}{3} : 5\). (1 point)
- Find \(\frac{1}{8} : 2\). (1 point)
Question 2: Whole numbers divided by unit fractions (2 points)
- Find \(4 : \frac{1}{6}\). (1 point)
- Find \(10 : \frac{1}{3}\). (1 point)
Question 3: Reading a model (2 points)
The model shows 3 wholes, each cut into equal parts.
- Write the division equation the model shows. (1 point)
- Find the quotient. (1 point)
Question 4: Splitting a half (2 points)
The bar shows one whole. The shaded half is cut into 4 equal pieces.
- Write the division expression for the shaded half. (1 point)
- What fraction of the whole is one small piece? (1 point)
Question 5: Checking a classmate (2 points)
Mei says \(\frac{1}{4} : 3 = \frac{3}{4}\). Is she correct? Show how you know, and give the correct quotient.
Grade 5 Divide Fractions Test: questions 6–9
Question 6: Missing numbers (2 points)
- \(\frac{1}{6} : \_\_\_ = \frac{1}{24}\) (1 point)
- \(\_\_\_ : \frac{1}{5} = 35\) (1 point)
Question 7: Bags of grapes (3 points)
Maria has \(4\) pounds of grapes. She puts \(\frac{1}{4}\) pound of grapes in each bag.
- How many bags can Maria fill? (2 points)
- She sells \(5\) of the bags. How many pounds of grapes are in the bags that are left? (1 point)
Question 8: Butter on muffins (3 points)
A cafe has \(\frac{1}{3}\) pound of butter. The butter is shared equally among \(5\) muffins.
- How many pounds of butter go on each muffin? (2 points)
- How many pounds of butter are on 4 muffins? (1 point)
Question 9: Comparing quotients (2 points)
- Which is greater, \(\frac{1}{5} : 2\) or \(\frac{1}{5} : 4\)? Explain. (1 point)
- Which is greater, \(2 : \frac{1}{5}\) or \(2 : \frac{1}{4}\)? Explain. (1 point)
How to use this grade 5 divide fractions test
Take this grade 5 divide fractions test without notes, then grade it with the test answer key out of 20 points.
See every chapter on the Grade 5 math page.




