Multiplying a Fraction by a Whole Number: Grade 4 Math Test Answer Key – PDF Download

Grade 4 Multiplying Test Answer Key: questions 1–5

Question 1: Fractions as multiples (2 points)

1. The unit fraction is \(rac{1}{6}\) and 5 parts are shaded: \(5 \times rac{1}{6}\).
2. \(9 \times rac{1}{10}\).

Scoring: 1 point for each part. Give no point if the unit fraction or the count is wrong.

Question 2: Whole number times fraction (2 points)

1. \(6 \times rac{1}{5} = rac{6}{5} = 1rac{1}{5}\). Answer: \(1rac{1}{5}\).
2. \(4 \times rac{3}{10} = rac{12}{10} = 1rac{2}{10} = 1rac{1}{5}\). Answer: \(1rac{1}{5}\).

Scoring: 1 point for each part. Accept the improper fraction (\(rac{6}{5}\) or \(rac{12}{10}\)) or the mixed number.

Question 3: Products as mixed numbers (2 points)

1. \(5 \times rac{3}{4} = rac{15}{4} = 3rac{3}{4}\). Answer: \(3rac{3}{4}\).
2. \(3 \times rac{5}{6} = rac{15}{6} = 2rac{3}{6} = 2rac{1}{2}\). Answer: \(2rac{1}{2}\).

Scoring: 1 point for each part: 0.5 for the correct improper fraction, 0.5 for the correct mixed number.

Question 4: Hops on a number line (2 points)

1. Each hop is \(rac{2}{3}\) long: \(4 \times rac{2}{3} = rac{8}{3}\).
2. \(2rac{2}{3}\), since \(rac{6}{3} = 2\) and 2 thirds remain.

Scoring: 1 point for each part.

Question 5: Find the error (2 points)

1. She multiplied the denominator by 3. The pieces stay fifths, so only the numerator is multiplied.
2. \(rac{6}{5} = 1rac{1}{5}\).

Scoring: 1 point for saying the denominator should stay the same; 1 point for the correct product in either form.

Grade 4 Multiplying Test Answer Key: questions 6–9

Question 6: Compare products (2 points)

1. \(rac{12}{8}\) and \(rac{15}{8}\): \(rac{12}{8} < rac{15}{8}\).
2. \(6 \times rac{1}{3} = rac{6}{3} = 2\) and \(2 \times rac{3}{3} = rac{6}{3} = 2\): =.

Scoring: 1 point for each correct symbol with correct products.

Question 7: Trail mix (3 points)

1. \(6 \times rac{3}{4} = rac{18}{4} = 4rac{2}{4} = 4rac{1}{2}\). Answer: \(4rac{1}{2}\) cups.
2. \(4rac{1}{2}\) is more than 4, so she does not have enough. \(4rac{1}{2} – 4 = rac{1}{2}\). She needs \(rac{1}{2}\) cup more.

Scoring: Part a: 1 point. Part b: 1 point for saying no with a comparison, 1 point for the difference \(rac{1}{2}\) cup.

Question 8: Running log (3 points)

1. \(4 \times rac{7}{10} = rac{28}{10} = 2rac{8}{10} = 2rac{4}{5}\). \(2rac{8}{10}\) miles.
2. \(3 \times rac{9}{10} = rac{27}{10} = 2rac{7}{10}\). \(2rac{7}{10}\) miles.
3. \(rac{28}{10} – rac{27}{10} = rac{1}{10}\). Noah runs \(rac{1}{10}\) mile farther.

Scoring: 1 point for each part. Accept equivalent forms such as \(2rac{4}{5}\).

Question 9: Missing numbers (2 points)

1. \(12 : 4 = 3\). \(rac{3}{5}\).
2. \(7 \times rac{5}{12} = rac{35}{12} = 2rac{11}{12}\). \(2rac{11}{12}\).

Scoring: 1 point for each part.

Scoring summary

How to use this grade 4 multiplying test answer key

Use this grade 4 multiplying test answer key to score the test fairly and to see which skills need more practice.

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