Dividing Unit Fractions and Whole Numbers: Grade 5 Math Test Answer Key – PDF Download

Grade 5 Divide Test Answer Key: questions 1–5

Question 1: Unit fractions divided by whole numbers (2 points)

1. \(\frac{1}{3 \times 5} = \frac{1}{15}\)
2. \(\frac{1}{8 \times 2} = \frac{1}{16}\)

Scoring: 1 point for each correct answer.

Question 2: Whole numbers divided by unit fractions (2 points)

1. \(4 \times 6 = 24\)
2. \(10 \times 3 = 30\)

Scoring: 1 point for each correct answer.

Question 3: Reading a model (2 points)

1. \(3 : \frac{1}{4}\)
2. \(3 \times 4 = 12\)

Scoring: 1 point for \(3 : \frac{1}{4}\). 1 point for 12.

Question 4: Splitting a half (2 points)

1. \(\frac{1}{2} : 4\)
2. The whole has 8 equal pieces, so one piece is \(\frac{1}{8}\). Check: \(\frac{1}{2} : 4 = \frac{1}{8}\).

Scoring: 1 point for the expression. 1 point for \(\frac{1}{8}\).

Question 5: Checking a classmate (2 points)

Check by multiplying: \(\frac{3}{4} \times 3 = \frac{9}{4}\), which is not \(\frac{1}{4}\). Mei is not correct. The quotient is \(\frac{1}{4 \times 3} = \frac{1}{12}\), and \(\frac{1}{12} \times 3 = \frac{1}{4}\).

Scoring: 1 point for showing Mei is wrong with a valid reason. 1 point for \(\frac{1}{12}\).

Grade 5 Divide Test Answer Key: questions 6–9

Question 6: Missing numbers (2 points)

1. \(6 \times 4 = 24\), so the missing number is 4.
2. \(7 \times 5 = 35\), so the missing number is 7.

Scoring: 1 point for each correct number.

Question 7: Bags of grapes (3 points)

1. \(4 : \frac{1}{4} = 4 \times 4 = 16\) bags
2. Bags left: \(16 – 5 = 11\). Weight: \(11 \times \frac{1}{4} = \frac{11}{4} = 2\frac{3}{4}\) pounds

Scoring: Part a: 1 point for the equation \(4 : \frac{1}{4}\), 1 point for 16. Part b: 1 point for \(2\frac{3}{4}\) pounds (follow-through allowed).

Question 8: Butter on muffins (3 points)

1. \(\frac{1}{3} : 5 = \frac{1}{15}\) pound
2. \(4 \times \frac{1}{15} = \frac{4}{15}\) pound

Scoring: Part a: 1 point for the equation \(\frac{1}{3} : 5\), 1 point for \(\frac{1}{15}\). Part b: 1 point for \(\frac{4}{15}\) (follow-through allowed).

Question 9: Comparing quotients (2 points)

1. \(\frac{1}{5} : 2 = \frac{1}{10}\) and \(\frac{1}{5} : 4 = \frac{1}{20}\). Splitting into 2 pieces gives bigger pieces than splitting into 4. The first is greater.
2. \(2 : \frac{1}{5} = 10\) and \(2 : \frac{1}{4} = 8\). Fifths are smaller than fourths, so more fifths fit in 2. The first is greater.

Scoring: 1 point per part for the correct choice with a valid explanation or both quotients.

Scoring summary

How to use this grade 5 divide test answer key

Use this grade 5 divide test answer key to score the test fairly and to see which skills need more practice.

Printable PDF · Test Answer Key

Grade 5 Dividing Unit Fractions and Whole Numbers test answer key

• 📄 US Letter
• 💾 90 KB
• 🖨️ Black and white friendly

Download the PDF

See every chapter on the Grade 5 math page.