Dividing Fractions Test Answer Key with Scoring – Grade 6

Question 1 Reciprocals (2 points)

1. 95
2. 14

Scoring: 1 point for each part.

Question 2 Using a Model (2 points)

Six thirds in groups of 2 give 3 groups. Check: 2 × 32 = 3. 3.

Scoring: 1 point for reading the model, 1 point for the answer 3.

Question 3 Dividing (2 points)

1. 45 × 32 = 1210 = 1 15.
2. 6 × 43 = 8.

Scoring: 1 point for each part.

Question 4 More Dividing (2 points)

1. 38 × 13 = 18.
2. 710 × 57 = 3570 = 12.

Scoring: 1 point for each part.

Question 5 Mixed Numbers (2 points)

1. 103 × 95 = 9015 = 6.
2. 94 × 89 = 7236 = 2.

Scoring: 1 point for each part.

Question 6 Dough Rolls (3 points)

1. 274 × 83 = 21612 = 18 rolls.
2. 18 × 0.75 = $13.50.

Scoring: 2 points for (a) (1 point for the correct setup); 1 point for (b).

Question 7 Missing Width (3 points)

152 ÷ 154 = 152 × 415 = 6030 = 2. 2 feet.

Scoring: 1 point for converting to improper fractions, 1 point for the correct division, 1 point for the answer with units.

Question 8 Paint Sharing (3 points)

1. 56 ÷ 4 = 56 × 14 = 524 gallon.
2. 56 × 12 = 10 cups.

Scoring: 2 points for (a), 1 point for (b).

Question 9 Explain (1 point)

Each whole holds two halves, so 5 × 2 = 10. It is greater than 5 because halves are smaller than 1, so more of them fit.

Scoring: 1 point for the answer with a correct reason.