5th Grade Fractions as Division Test with Point Values (PDF)
This fractions as division test for 5th Grade covers fractions as division (Common Core 5.NF.B.3), with a free PDF to print.
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.
Time and points
- Grade: Grade 5
- Chapter: Fractions as Division
- Standards: 5.NF.B.3
- Time: 45 minutes
- Total: 20 points
Fractions as division test: questions
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.
Key facts behind this fractions as division test
- The fraction a/b means a divided by b.
- The numerator is the amount shared. The denominator is the number of equal groups.
- If a is less than b, the quotient is less than 1.
- If a is greater than b, write the quotient as a mixed number: whole part plus remainder over divisor.
- Check with a picture or a number line.
How to use this fractions as division test
Time yourself: the test is designed for an average student in 45 minutes. Answer the questions you are sure of first, then come back to the longer ones and check your units.
All Grade 5 chapters: Grade 5 math.
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