Long Division Test Answer Key with Scoring – Grade 6

Question 1 Estimating (2 points)

1. 4,800 ÷ 60 = about 80.
2. 8,000 ÷ 40 = about 200.

Scoring: 1 point for each reasonable estimate with compatible numbers.

Question 2 Two-Digit Divisor (2 points)

124 ÷ 26 = 4 (104), remainder 20. Bring down 8: 208 ÷ 26 = 8.

Check: 26 × 48 = 1,248. 48.

Scoring: 1 point for the method; 1 point for the answer.

Question 3 Remainders (2 points)

37 × 135 = 4,995 and 5,000 − 4,995 = 5.

135 R 5.

Scoring: 1 point for the quotient; 1 point for the remainder.

Question 4 Zero in the Quotient (2 points)

194 ÷ 48 = 4 (192), remainder 2. Bring down 8: 28 is less than 48, so write 0. Bring down 8: 288 ÷ 48 = 6.

Check: 48 × 406 = 19,488. 406.

Scoring: 1 point for the method; 1 point for the answer.

Question 5 Find the Error (2 points)

The remainder 52 equals the divisor, so 52 fits one more time. The last quotient digit should be 2, because 52 × 2 = 104.

The correct quotient is 42.

Scoring: 1 point for the explanation; 1 point for the correct quotient.

Question 6 Ferry Trips (3 points)

1. 14 × 14 = 196 and 205 − 196 = 9, so 14 R 9.
2. The 9 cars need another trip: 15 trips.
3. 9 cars.

Scoring: 1 point for each part.

Question 7 Fence Sections (3 points)

2,016 ÷ 36: 201 ÷ 36 = 5 (180), remainder 21. Bring down 6: 216 ÷ 36 = 6.

Check: 36 × 56 = 2,016. 56 feet.

Scoring: 1 point for setting up the division; 1 point for the method; 1 point for 56 feet.

Question 8 Muffin Cartons (3 points)

Boxes: 3,420 ÷ 12 = 285. Cartons: 285 ÷ 24 = 11 R 21, so the last 21 boxes need another carton.

12 cartons.

Scoring: 1 point for 285 boxes; 1 point for 11 R 21; 1 point for rounding up to 12.

Question 9 Checking (1 point)

25 × 48 + 3 = 1,200 + 3 = 1,203, so it is correct.

Scoring: 1 point for a correct check.