Multiplying Fractions: Grade 5 Math Test Answer Key – PDF Download

Grade 5 Multiply Test Answer Key: questions 1–5

Question 1: Division and fractions (2 points)

1. \(17 : 5 = \frac{17}{5} = 3\frac{2}{5}\)
2. \(4 : 7 = \frac{4}{7}\) pound

Scoring: 1 point for each part. Give the point for \(\frac{17}{5}\) only if it is converted to a mixed number.

Question 2: Whole numbers and fractions (2 points)

1. \(5 \times \frac{3}{10} = \frac{15}{10} = \frac{3}{2} = 1\frac{1}{2}\)
2. \(\frac{7}{12} \times 8 = \frac{56}{12} = \frac{14}{3} = 4\frac{2}{3}\)

Scoring: 1 point per part for a correct simplified answer. If the product is correct but not simplified or not converted to a mixed number, award no more than half the point and round the question total down.

Question 3: Reading an area model (2 points)

1. \(\frac{3}{4} \times \frac{2}{5}\)
2. The darkest part is 6 of 20 boxes: \(\frac{6}{20} = \frac{3}{10}\)

Scoring: 1 point for a correct sentence (either order of factors). 1 point for \(\frac{3}{10}\).

Question 4: Multiplying fractions (2 points)

1. \(\frac{4}{9} \times \frac{3}{8} = \frac{12}{72} = \frac{1}{6}\)
2. \(\frac{5}{6} \times \frac{9}{10} = \frac{45}{60} = \frac{3}{4}\)

Scoring: 1 point for each correct simplified product.

Question 5: Area of a rectangle (2 points)

1. \(\frac{7}{8} \times \frac{2}{3} = \frac{14}{24} = \frac{7}{12}\) square foot
2. Both rectangles have the same height, and \(1\frac{1}{4} > \frac{7}{8}\). Rectangle B is wider, so its area is greater. (Area of B: \(\frac{5}{4} \times \frac{2}{3} = \frac{10}{12} = \frac{5}{6}\), and \(\frac{5}{6} > \frac{7}{12}\).)

Scoring: Part a: 1 point for \(\frac{7}{12}\) with units. Part b: 1 point for ‘greater’ with a valid reason (wider with equal height, or the computed areas).

Grade 5 Multiply Test Answer Key: questions 6–9

Question 6: Size of a product (2 points)

1. \(\frac{3}{4} < 1\), so the product is less than \(\frac{2}{3}\): <
2. \(1\frac{3}{8} > 1\), so the product is greater than 6: >

Scoring: 1 point per correct symbol. A correct symbol with a wrong explanation still earns the point.

Question 7: Mixed number products (2 points)

1. \(\frac{5}{2} \times \frac{8}{5} = \frac{40}{10} = 4\)
2. \(\frac{10}{3} \times \frac{9}{4} = \frac{90}{12} = \frac{15}{2} = 7\frac{1}{2}\)

Scoring: 1 point per part. No point if the whole numbers and fractions are multiplied separately.

Question 8: Hiking trail (3 points)

1. \(2\frac{1}{4} = \frac{9}{4}\). \(\frac{2}{3} \times \frac{9}{4} = \frac{18}{12} = \frac{3}{2} = 1\frac{1}{2}\) miles
2. \(\frac{9}{4} – \frac{3}{2} = \frac{9}{4} – \frac{6}{4} = \frac{3}{4}\) mile

Scoring: Part a: 1 point for converting to \(\frac{9}{4}\) and setting up the product, 1 point for \(1\frac{1}{2}\). Part b: 1 point for \(\frac{3}{4}\) (follow-through allowed).

Question 9: Ribbon for a project (3 points)

1. \(\frac{2}{3} \times \frac{9}{2} = \frac{18}{6} = 3\) yards
2. Rest: \(\frac{9}{2} – 3 = \frac{3}{2}\) yards. \(\frac{5}{6} \times \frac{3}{2} = \frac{15}{12} = \frac{5}{4} = 1\frac{1}{4}\) yards
3. \(\frac{3}{2} – \frac{5}{4} = \frac{6}{4} – \frac{5}{4} = \frac{1}{4}\) yard

Scoring: 1 point per part; follow-through is allowed from an earlier error if the method is correct.

Scoring summary

How to use this grade 5 multiply test answer key

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

Printable PDF · Test Answer Key

Grade 5 Multiplying Fractions test answer key

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

Download the PDF

See every chapter on the Grade 5 math page.

📘 The Mathovore bookGrade 5 Math Tests with Answer KeysA 45-minute test for every chapter

• 14 chapters in one PDF
• Tests scored out of 20 points
• Answer keys with scoring guides
• Perfect to prepare for exams

See the book →