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AREA MODEL OF DIVISION - Printable Mathematics Worksheets - Wayground

AREA MODEL OF DIVISION

15 questions

5th - 5th Grade

Mathematics

Area Model of Division is a Grade 5 mathematics worksheet that builds fluency with multi-digit division while connecting equations to visual representations. Students solve division problems with four-digit dividends and two-digit divisors, identify equivalent multiplication equations, interpret area models and rectangular arrays, complete missing values in models, and apply division to real-world situations such as distributing cards, seating auditorium rows, and organizing students. The worksheet includes 15 questions: 14 multiple-choice items and one multiple-select item. This resource helps students move between concrete visual models, related multiplication facts, numerical division equations, and word-problem contexts. It is designed for guided practice, independent work, or a quick assessment of Grade 5 division understanding. The free printable worksheet includes a complete answer key for efficient checking and review.

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Worksheets

AREA MODEL OF DIVISION

Total questions: 15

Name
Class
Date
1.

A realtor has 5,376 business cards to give out. The realtor gives out an equal number of business cards in 48 days until there are no more business cards left. How many business cards does the realtor give out each day?

a)

111 business cards

b)

112 business cards

c)

113 business cards

d)

114 business cards

2.

Which two equations are true?

a)

2,806 ÷ 61 = 45

b)

2,100 ÷ 50 = 42

c)

2,070 ÷ 46 = 45

d)

1,664 ÷ 32 = 42

e)

1,334 ÷ 29 = 45

3.

Passengers on a cruise ship are required to attend a safety training in the auditorium. The auditorium can seat 2,674 passengers. If each row in the auditorium can seat 14 passengers, how many rows are in the auditorium?

a)

190 rows

b)

191 rows

c)

192 rows

d)

193 rows

4.

Which equation has the same unknown value as 9,086 ÷ 22 = □?

a)

22 × □ = 9,086

b)

9,086 × □ = 22

c)

□ ÷ 22 = 9,086

d)

□ ÷ 9,086 = 22

5.

What is 7,268 ÷ 46?

a)

160

b)

159

c)

158

d)

157

6.

Which subject receives the most textbooks?

a)

language arts

b)

math

c)

science

d)

social studies

7.

A student is assigned a novel to read. The novel has 437 pages. If the student reads 23 pages each day, how many days will it take the student to read the novel?

a)

16 days

b)

17 days

c)

18 days

d)

19 days

8.

Danielle wants to draw an area model to represent the division expression 192 ÷ 12. Which area model correctly represents Danielle’s expression?

a)

Model A

b)

Model B

c)

Model C

d)

Model D

9.

Carla wants to draw a rectangular array to represent the division problem 516 ÷ 12. Which correctly describes the rectangular array Carla should draw?

a)

The array should have 12 rows with 516 objects in each row.

b)

The array should have 516 rows with 12 objects in each row.

c)

The array should have a total of 12 objects arranged in 516 equal rows.

d)

The array should have a total of 516 objects arranged in 12 equal rows.

10.

A student uses a model to find the value of 4,245 ÷ 15. Which value correctly replaces the ? in the model?

a)

800

b)

150

c)

80

d)

15

11.

Which equation shows one way to solve for p in the equation 5,334 \ 21 = p ?

a)

5,334 + 21 = p

b)

5,334 x 21 = p $

c)

p + 21 = 5,334

d)

p x 21 = 5,334

12.

Which equation is true?

a)

7,305 ÷ 15 = 487

b)

6,622 ÷ 11 = 622

c)

4,080 ÷ 12 = 430

d)

2,296 ÷ 14 = 163

13.

An auditorium can seat a maximum of 6,552 people. If 12 people can sit in each row, how many rows are in the auditorium?

a)

545 rows

b)

546 rows

c)

547 rows

d)

548 rows

14.

A student correctly solves the expression shown.

5508 ÷\div 54

Which could be the student's work and solution?

a)

A

b)

B

c)

C

d)

D

15.

Eastside Elementary has 3,036 students. The principal divides the students into groups of 22. Which model represents the situation correctly?

a)

A

b)

B

c)

C

d)

D

Answer Key

AREA MODEL OF DIVISION

Total questions: 15

1.
b)

112 business cards

2.
b)

2,100 ÷ 50 = 42

, d)

1,664 ÷ 32 = 42

3.
c)

192 rows

4.
a)

22 × □ = 9,086

5.
b)

159

6.
a)

language arts

7.
d)

19 days

8.
d)

Model D

9.
d)

The array should have a total of 516 objects arranged in 12 equal rows.

10.
b)

150

11.
d)

p x 21 = 5,334

12.
d)

2,296 ÷ 14 = 163

13.
c)

547 rows

14.
a)

A

15.
a)

A

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FAQs

What does this Area Model of Division worksheet help Grade 5 students learn?

This worksheet helps students interpret area models and rectangular arrays for division, connect division to related multiplication equations, and solve multi-digit division with two-digit divisors. Its 15 items combine visual-model identification, missing-value reasoning, division equations, multiple-choice word problems, and one multiple-select item, so students practice moving between representations and exact calculations.

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

Begin by modeling how a division expression can be represented with equal rows or partitioned areas, then have students explain what the dividend, divisor, and quotient represent in the worksheet’s array and area-model items. Next, use the missing-value and equivalent-equation questions to connect the visual model to multiplication, and finish with the auditorium, business-card, textbook, and grouping problems to apply the same structure in context.

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

Watch for students reversing the dividend and divisor when interpreting the rectangular-array questions, such as treating 516 ÷ 12 as 12 rows of 516 objects instead of 516 objects in 12 equal rows. Students may also choose a nearby quotient in the numerical items, confuse a division equation with its related multiplication equation, or select only one correct statement on the multiple-select question instead of checking both equations.

How do I assign and grade this Area Model of Division worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can assign the format that fits your lesson. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The PDF option can also support schools that are reducing screen time.

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

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size when students need more room to read the division expressions, answer choices, and model descriptions. You can also enable a dyslexia-friendly font or translate the worksheet into another language, which may make the word problems and visual-representation questions easier to access.

Where can I find more worksheets like this on Wayground?

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

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