4th Grade Dividing with Remainders Test Solutions and Scoring (PDF)

1. 36 tens ÷ 6 = 6 tens. 60
2. 40 hundreds ÷ 5 = 8 hundreds. 800

Scoring: 1 point for each answer.

1. \(80 \div 4 = 20\) and \(16 \div 4 = 4\). 24
2. \(6 \times 14 = 84\) and \(87 – 84 = 3\). 14 R 3

Scoring: 1 point for each answer.

\(500 \div 5 = 100\); \(125 \div 5 = 25\). Quotient \(100 + 25 = 125\).

Check: \(125 \times 5 = 625\).

125

Scoring: 1 point for 125. 1 point for the check.

\(758 – 700 = 58\); \(7 \times 8 = 56\); \(58 – 56 = 2\).

Check: \(108 \times 7 + 2 = 758\).

108 R 2

Scoring: 1 point for 108. 1 point for the remainder 2.

\(6 \times 800 = 4{,}800\); \(4{,}872 – 4{,}800 = 72\); \(72 \div 6 = 12\).

\(800 + 12 = 812\)

Check: \(812 \times 6 = 4{,}872\).

\(812\)

Scoring: 1 point for correct partial quotients. 1 point for 812.

\(1{,}000 \div 5 = 200\), \(200 \div 5 = 40\), \(35 \div 5 = 7\).

\(200 + 40 + 7 = 247\)

247

Scoring: 1 point for the three widths. 1 point for 247.

1. \(83 \div 6 = 13 \text{ R } 5\) because \(13 \times 6 = 78\) and \(83 – 78 = 5\). 13 vans
2. 5 students
3. The 5 students need one more van. 14 vans

Scoring: 1 point for each part.

1. \(14 \times 5 + 3 = 70 + 3 = 73\), which is not 523.
2. \(5 \times 100 = 500\); \(523 – 500 = 23\); \(5 \times 4 = 20\); \(23 – 20 = 3\). 104 R 3
3. There are 0 tens left after taking 500, but Liam skipped the zero and wrote 14 instead of 104.

Scoring: 1 point for each part.

\(7 \times 60 = 420\); \(458 – 420 = 38\); \(7 \times 5 = 35\); \(38 – 35 = 3\).

Check: \(65 \times 7 + 3 = 455 + 3 = 458\).

65 full pages; 3 photos left

Scoring: 1 point for 65. 1 point for 3 left.