Making Arrays for Division Math Worksheet

Instructions

1. An array is a group of objects arranged in equal rows and columns.
2. Use counters, dots, or small drawings to make an array for each division problem.
3. Remember: dividend ÷ number of rows = number in each row.
4. Check your work by multiplying: number of rows × number in each row = total.
5. Complete the core questions first. Then try the optional challenge.

1. Read the Arrays

Example:

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There are 12 counters in 3 equal rows.

12 ÷ 3 = 4

There are 4 counters in each row.

A. Find the quotient

1. ● ● ● ●
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8 ÷ 2 = _____

There are _____ counters in each row.

2. ● ● ● ● ●
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15 ÷ 3 = _____

There are _____ counters in each row.

3. ● ● ● ● ●
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20 ÷ 4 = _____

There are _____ counters in each row.

2. Make an Array

Draw circles or squares in equal rows. Then solve the division problem.

Hint: The divisor tells you how many equal rows to draw.

4. 18 ÷ 3 = _____

Draw 3 equal rows:

5. 24 ÷ 6 = _____

Draw 6 equal rows:

6. 16 ÷ 4 = _____

Draw 4 equal rows:

3. Match the Division Story to the Answer

Write the correct answer on the line.

7. 12 cookies are placed equally on 3 plates.

12 ÷ 3 = _____ cookies on each plate

8. 20 pencils are shared equally among 5 students.

20 ÷ 5 = _____ pencils for each student

9. 30 books are placed equally on 6 shelves.

30 ÷ 6 = _____ books on each shelf

10. 28 stickers are divided equally among 4 pages.

28 ÷ 4 = _____ stickers on each page

4. Build the Fact Family

Use the array information to complete each fact family.

Example: 3 rows of 4 counters make 12.

3 × 4 = 12
4 × 3 = 12
12 ÷ 3 = 4
12 ÷ 4 = 3

11. 5 rows of 6 counters make 30.

× = 30

× = 30

30 ÷ =

30 ÷ =

12. 4 rows of 7 counters make 28.

× = 28

× = 28

28 ÷ =

28 ÷ =

5. Choose the Correct Array

Circle the array that represents each division problem.

13. 12 ÷ 4 = 3

Array A:
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Array B:
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14. 18 ÷ 3 = 6

Array A:
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Array B:
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15. 16 ÷ 4 = 4

Array A:
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Array B:
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6. Real-World Array Problems

Show your thinking by drawing an array or writing a multiplication fact.

16. A cafeteria has 24 oranges. The oranges are placed in 4 equal rows. How many oranges are in each row?

24 ÷ 4 = _____ oranges

Work:

17. A teacher has 35 cards and puts the same number of cards into 5 piles. How many cards are in each pile?

35 ÷ 5 = _____ cards

Work:

18. A gardener plants 36 flowers in 6 equal rows. How many flowers are in each row?

36 ÷ 6 = _____ flowers

Work:

19. A coach puts 27 players into 3 equal teams. How many players are on each team?

27 ÷ 3 = _____ players

Work:

7. Explain Your Thinking

20. How does an array help you solve a division problem?

21. Write a division problem that can be shown with an array of 4 rows and 5 counters in each row.

22. Draw the array for your problem.

Optional Challenge

23. You have 29 counters and want to make 4 equal rows. Can you make a complete array? Explain what happens.

29 ÷ 4 = remainder

24. Create an array with 6 rows and 8 counters in each row. Write the related division problems.

Total counters: _____

÷ 6 =

÷ 8 =

Answer Key

1. 8 ÷ 2 = 4; 4 counters in each row.

2. 15 ÷ 3 = 5; 5 counters in each row.

3. 20 ÷ 4 = 5; 5 counters in each row.

4. 18 ÷ 3 = 6. The array should have 3 rows with 6 counters in each row.

5. 24 ÷ 6 = 4. The array should have 6 rows with 4 counters in each row.

6. 16 ÷ 4 = 4. The array should have 4 rows with 4 counters in each row.

7. 12 ÷ 3 = 4 cookies on each plate.

8. 20 ÷ 5 = 4 pencils for each student.

9. 30 ÷ 6 = 5 books on each shelf.

10. 28 ÷ 4 = 7 stickers on each page.

11. 5 × 6 = 30; 6 × 5 = 30; 30 ÷ 5 = 6; 30 ÷ 6 = 5.

12. 4 × 7 = 28; 7 × 4 = 28; 28 ÷ 4 = 7; 28 ÷ 7 = 4.

13. Array A

14. Array A

15. Array A

16. 24 ÷ 4 = 6 oranges in each row.

17. 35 ÷ 5 = 7 cards in each pile.

18. 36 ÷ 6 = 6 flowers in each row.

19. 27 ÷ 3 = 9 players on each team.

20. Answers may vary. An array shows a total divided into equal rows or groups, making the quotient easier to see.

21. 20 ÷ 4 = 5. Other equivalent wording is acceptable.

22. The drawing should show 4 equal rows with 5 objects in each row.

23. 29 counters cannot make 4 complete equal rows. Each row can have 7 counters, with 1 counter left over. 29 ÷ 4 = 7 remainder 1.

24. 6 × 8 = 48. 48 ÷ 6 = 8 and 48 ÷ 8 = 6.