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Area Model Division - Printable Mathematics Worksheets - Wayground

Area Model Division

10 questions

4th - 4th Grade

Mathematics

Area Model Division is a free Grade 4 mathematics worksheet that helps students use area-model reasoning to solve division problems. The 10 multiple-choice questions ask students to divide dividends such as 24, 36, 48, 72, 96, and 120 by given divisors, connecting the dimensions of an area model to the quotient. The final item asks students to choose a quotient-and-remainder response for 132 ÷ 22. This worksheet supports practice with recognizing the division relationship represented by an area model, selecting the correct quotient, and interpreting a division response that includes a remainder. It works well for independent practice, guided review, or a quick formative check after introducing area-model division. The worksheet is available as a free printable PDF with a complete answer key, making it convenient for Grade 4 classroom instruction, homework, or intervention practice.

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Worksheets

Area Model Division

Total questions: 10

Name
Class
Date
1.

Divide 24 by 4 using an area model.

a)

8

b)

6

c)

12

d)

4

2.

Divide 36 by 6 using an area model.

a)

6

b)

8

c)

5

d)

7

3.

Divide 48 by 8 using an area model.

a)

10

b)

7

c)

6

d)

9

4.

Divide 56 by 7 using an area model.

a)

12

b)

10

c)

6

d)

8

5.

Divide 72 by 9 using an area model.

a)

7

b)

8

c)

10

d)

9

6.

Divide 84 by 12 using an area model.

a)

12

b)

10

c)

9

d)

7

7.

Divide 96 by 16 using an area model.

a)

10

b)

7

c)

6

d)

5

8.

Divide 108 by 18 using an area model.

a)

7

b)

9

c)

6

d)

5

9.

Divide 120 by 20 using an area model.

a)

6

b)

5

c)

10

d)

7

10.

Divide 132 by 22 using an area model.

a)

6 remainder 12

b)

7 remainder 12

c)

6 remainder 10

d)

5 remainder 12

Answer Key

Area Model Division

Total questions: 10

1.
b)

6

2.
a)

6

3.
c)

6

4.
d)

8

5.
b)

8

6.
d)

7

7.
c)

6

8.
c)

6

9.
a)

6

10.
a)

6 remainder 12

FAQs

What does the Area Model Division worksheet help Grade 4 students learn?

This worksheet gives Grade 4 students 10 multiple-choice opportunities to solve division problems by using an area model to connect the dividend and divisor with the quotient. Students practice selecting quotients for problems such as 24 ÷ 4 and 96 ÷ 16, then interpret a quotient-and-remainder response in the final item.

How can I use this worksheet to teach area model division?

Introduce one problem by having students identify the total area, the known side length, and the missing factor represented by the quotient. Then model how that relationship applies to the multiple-choice items before asking students to explain why an answer choice fits the area model. Use the final quotient-and-remainder item to prompt students to check the relationship among the dividend, divisor, quotient, and remainder.

What mistakes should I watch for when students complete this area model division worksheet?

Students may choose an answer by guessing from the options instead of identifying the missing factor in the area model, or they may reverse the roles of the dividend and divisor. Watch for errors in multiplication facts when solving items such as 84 ÷ 12 or 108 ÷ 18. In the final item, students should check that the selected quotient-and-remainder statement is consistent with the dividend and divisor.

How do I assign and grade the Area Model Division worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can use the 10 multiple-choice questions for paper or online practice. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this area model division worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the multiple-choice division items easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options better support students working through the area-model prompts and answer choices.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more worksheets at https://wayground.com/en-us/worksheets.