5th Grade Fractions as Division Test with Point Values (PDF)

This test has 9 questions worth 20 points in all. It checks fractions as division (5.NF.B.3): writing division as fractions, using mixed numbers, and solving equal-sharing problems. Show all work and write units in word problems. The test takes about 45 minutes.
- Grade: Grade 5
- Chapter: Fractions as Division
- Standards: 5.NF.B.3
- Time: 45 minutes
- Total: 20 points
Question 1 – Division and fractions [2 pts]
- Write \(5 \div 8\) as a fraction. (1 point)
- Write \(\frac{3}{7}\) as a division problem. (1 point)
Question 2 – Quotients as mixed numbers [2 pts]
- Find \(11 \div 4\). Write the answer as a mixed number. (1 point)
- Find \(19 \div 6\). Write the answer as a mixed number. (1 point)
Question 3 – Sharing granola bars [2 pts]
Four friends share 3 granola bars equally. Each bar is cut into 4 equal pieces, as shown.
- Write a division sentence for this problem. (1 point)
- How much of a granola bar does each friend get? (1 point)
Question 4 – Which quotient is greater [2 pts]
Decide which is greater, \(9 \div 4\) or \(14 \div 6\). Show your work.
Question 5 – Point on a number line [3 pts]
Point P shows the quotient of a division problem on the number line.
- Write the location of P as an improper fraction. (1 point)
- Write the location of P as a mixed number. (1 point)
- Write a division problem that has this quotient. (1 point)
Question 6 – Oranges for players [3 pts]
A coach shares 10 oranges equally among 4 players.
- Write a division problem for this situation. (1 point)
- How many oranges does each player get? Write the answer as a mixed number in simplest form. (2 points)
Question 7 – Cutting a ribbon [3 pts]
A 15-foot ribbon is cut into 6 equal pieces.
- How long is each piece? Write the answer as a mixed number in simplest form. (2 points)
- Is each piece longer than 2 feet? Explain. (1 point)
Question 8 – Bags of flour [2 pts]
Liam divides 9 pounds of flour equally into 4 bags. He also has one bag that holds \(2\frac{1}{2}\) pounds.
- How many pounds of flour go into each of the 4 bags? Write the answer as a mixed number. (1 point)
- Is the single bag heavier or lighter than one of the 4 equal bags? Explain. (1 point)
Question 9 – Find the mistake [1 pt]
Priya says that \(4 \div 9\) equals \(\frac{9}{4}\). Explain her mistake and give the correct fraction.
All Grade 5 chapters: Grade 5 math.
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