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

4th Grade math test solutions: Dividing with Remainders – Maths PDF

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This divide test answers for 4th Grade covers dividing with remainders (Common Core 4.NBT.B.6), with a free PDF to print.

Use this answer key to score the test. Each solution shows the partial quotients and a check, and the scoring note tells how the points are awarded. Total: 20 points.

Grade 4 · Common Core State Standards: 4.NBT.B.6

Divide test answers: worked solutions

Question 1 – Mental math [2 pts]

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

Scoring: 1 point for each answer.

Question 2 – Two-digit dividends [2 pts]

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

Scoring: 1 point for each answer.

Question 3 – Three-digit dividend [2 pts]

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

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

125

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

Question 4 – Remainder in the tens place [2 pts]

700 + 56 = 756, with 2 left.

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

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

108 R 2

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

Question 5 – Four-digit dividend [2 pts]

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

\(800 + 12 = 812\)

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

\(812\)

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

Question 6 – Read the area model [2 pts]

200 + 40 + 7 = 247.

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

\(200 + 40 + 7 = 247\)

247

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

Question 7 – School vans [3 pts]

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

Scoring: 1 point for each part.

Question 8 – Find the mistake [3 pts]

\(14 \times 5 + 3 = 70 + 3 = 73\), which is not 523.
\(5 \times 100 = 500\); \(523 – 500 = 23\); \(5 \times 4 = 20\); \(23 – 20 = 3\). 104 R 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.

Question 9 – Photo album pages [2 pts]

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

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

65 full pages; 3 photos left

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

Total score

Total

20 points

Key facts behind this divide test answers

Key facts

Dividend ÷ divisor = quotient with a remainder; the remainder is less than the divisor.
Partial quotients: divide easy parts of the dividend and add the results.
An area model for division starts with the area (dividend) and one side (divisor).
Check: quotient × divisor + remainder = dividend.
Think about the story to decide what to do with a remainder.

How to use this divide test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

All Grade 4 chapters: Grade 4 math.

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