1. MATH 3
4th

2. divisor quotient multiple product factor division
Choose the best term.
divisor quotient multiple
product factor division
In the number sentence 9 x 5 = 45, 45 is the _________.
The number you divide by is the _________.
The answer in a division problem is the _________.

3. Find each product. 5 x 3 7 x 2 6 x 8 8 x 0 1 x 4 2 x 8 5 x 7 3 x 6

4. Fact Families
Write the addition and subtraction facts that accompany each number family.
8, 8, 16
9, 5, 14
7, 4, 11
6, 3, 9
4, 8, 12
7, 11, 18
1, 6, 7
13, 9, 22
8, 6. 14
6, 5, 11
5, 8, 13
4, 3, 7
2, 9, 11
8, 3, 11
2, 8, 10

5. Write the subtraction fact for the array below.

6. Division is just repeated subtraction.
How can you divide to find the number of groups?
Faith has collected 15 snow globes from around the world. She wants to display them in groups of 5. How many groups will she make?
15 – 5
10 – 5
5 – 5

7. Kimberly is hanging 9 suncatchers on her windows. She put 3
suncatchers on each window.
How many windows will have
suncatchers?

8. Coach has 20 students in her gym class. She separates the class into
teams of 4 students each.
How many teams will there be?

9. Jason has 18 glass automobiles in his collection. He decides to place
them in groups of 3. How many
groups will he make?

10. Gavin counted 21 eggs in the chicken coop. If each nest has
eggs in it, how many nests are
in the chicken coop?

11. Madeline has 36 glass beads. Each bracelet has 9 beads.
How many bracelets does
she have?

12. Savannah takes ballet at a dance studio.
There are 28 dancers in their dance
recital. For the final dance, they will
stand in rows with 7 dancers each.
How many rows will there be?

13. Jennifer is making apple pies for a party. She has 24 apples. Eight
apples will go into each pie. How
many pies will Megan make?

14. Kevin has 32 bison stickers that he wants to share with his friends.
Each friend will get 4 stickers.
How many friends will receive
stickers?

15. Elijah trains dogs on the weekend. He has 10 puppies signed up for
training class. He divides the puppies
into groups of 5 puppies each.
How many classes will he be
teaching this weekend?

16. Caleb has 42 baseball cards in his collection. He places the same
number of cards on each page of
his album. How many pages will
he need for all of his cards?

17. Robert’s baseball card collection has 7
pages of cards. He places the same
number of cards on each page.
How many cards does he have?
Who has more cards, Caleb or Robert?

18. Thomas collects antique matchbox cars.
He stores them in special cases to
keep them clean. Each case holds
6 cars. Thomas has a total of 36
antique cars. Today he purchased
more cars at an auction. How
many cases will he need to hold his
entire collection?

19. Jordan is setting up a home aquarium
Jordan is setting up a home aquarium. The clerk at the pet store tells him that he will need at least 3 gallons of water for each gourami in his tank. How many fish should he purchase if he has a 15 gallon tank?

20. Using models to Divide
Fair Share
A museum wants to display a collection of 24 gems on four shelves, placing the same number of gems on each shelf. How many gems will be on each shelf?

21. Allison is setting up the tables for a large family gathering. Forty
people will attend the banquet. How
many tables will she need if eight
people can sit comfortably at each
table?

22. Alexandra is organizing her artwork.
She has 14 watercolors she wants to
preserve in 2 large art binders. How
many paintings will fit in each?

23. Cameron is on a soccer league. Sixteen players signed up to play
soccer in his age group. They
formed four teams with the same
number of players per team. How
many players are on each team?

24. Jack is the chairman of the yearbook committee. The class
yearbook will have 16 pages with up
to 5 pictures per page. How many
pictures can be in the yearbook?

25. Haley collects quarters for each state.
She has collected 45 quarters and is
on the lookout for the last 5 states
she needs. She put her quarters
into equal groups of five. How many
quarters are in each group?

26. Maria makes beautiful jewelry from
dentalia shells. Dentalia shells were
first used by Native American tribes
to make jewelry hundreds of years
ago. Maria has 24 shells. If she uses
8 shells for each necklace, how
many necklaces can she make?

27. Snooty the Manatee was born in at the Miami Aquarium. How
old will Snooty be this December?

28. An aquarium has 7 more sharks than rays. It has 3 fewer rays than
dolphins. If the aquarium has 7
dolphins, how many sharks does
it have.
Strategy: make a chart

29. There are 30 stuffed bears in the hospital gift shop. The bears are
arranged in 5 equal rows.
How many bears are in each row?

30. Your class wants to go to the playground to play kickball. Will the
teacher need to play so the teams
will be even. How many students
will be on each team?

31. A rectangular wading pool is 10 feet wide and 15 feet long. What
is the perimeter of the pool?
L + L + W + W = P or 2L + 2W = P

32. Kaylee and five of her friends shared 18 pancakes equally at the Port
Orange Pancake Breakfast.
How many pancakes did each
person receive?

33. INVERSE OPERATIONS = OPPOSITE
Relating Multiplication to Division
Operations that undo each other are called
INVERSE OPERATIONS = OPPOSITE
Multiplying by 3 and dividing by 3 are INVERSE OPERATIONS.
FACT FAMILIES show all of the facts related to the multiplication and division for a set of numbers.
3 x 2 = x 3 = 6
6 divided by 2 = divided by 3 = 2

34. Complete each fact family.
Show all operations.
8 x __ = 32
6 x 9 = ___
2 x ___ = 12
3 x 3 = ___
___ x 5 = 35
9 x ___ = 72
___ x 3 = 18
7 x 8 = ___
2 x ___ = 16
___ x 7 = 42
3 x ___ = 24
___x 4 = 28
8 x 6 = ___
5 x ___ = 40
1 x 7 = ___

35. x = + In the fact family for the numbers
3, 7, 21, which symbol can NOT be used? a. x b. c. = d. +

36. Hunter practices his drums three hours each day. How many hours
will he have practiced after seven days?

37. How can you divide with 1 and 0? A sandwich is cut into 8 pieces.
Special Quotients
How can you divide with 1 and 0?
A sandwich is cut into 8 pieces.
How many people can have 1 piece each?
8 divided by 1

38. Divide = = = = = = = = = = = = = = =

39. > < = 7 7 ___ 2 2 0 5 ___ 3 1 4 1 ___ 4 4 6 6 ___ 0 4
> < =
___
___
___
___
___
___
___
___
___
___
___
___

40. The average fourth-grade student can
burn 7 calories each minute jumping
rope. How many minutes would a
fourth-grade student have to jump
rope to burn 35 calories?

41. On a trip to the beach, the Smith family brought along 5 beach balls for their 5 children.
If the beach balls are divided equally among the children, how many balls will each child get?
If the children give the 5 balls to 1 parent, how many balls will the parent have?

42. Jackson’s family is driving 70 miles
to the fair. They have already traveled
30 miles. They are traveling at a
speed of 40 miles per hour. How
many more hours will it take them
to complete the rest of the trip?

43. In one season, a baseball team will
practice 4 times a week. If there are
36 practices, how many weeks will
the team practice in the season?

44. Divide

45. Isaiah caught 18 fish at the fishing tournament
Isaiah caught 18 fish at the fishing tournament. He puts the same number of fish in 3 coolers. What multiplication fact family can you use to find the number of fish in each cooler?

46. On a field trip to Gatorland, Lilly spends $24 in the gift shop
On a field trip to Gatorland, Lilly spends $24 in the gift shop. Which item can she buy the most of? Explain.
PRICE LIST
POSTCARDS Package $3
Plastic ALLIGATORS $6
GATOR PUZZLE $8

47. People started riding carousels in the United States in 1835
People started riding carousels in the United States in The carousel has a total of 24 horses with an equal number of horses on each circle. Write a division fact you can use to find the number of horses on each of the three rings.

48. Angel plays a card word game. The same number of cards are given
to each of 4 players. If there are 28
cards in all, how many cards does
each player get?

49. The total lunch bill for five people
is $34. They add a $6 tip and split
the bill evenly. How much is each
person’s equal share of the total bill?

50. Divide

51. Total Number Needed Per Act
At the circus, 6 clowns juggle the same number of rings. If all the rings are used in the act, how many rings does each clown juggle?
Juggling Item
Total Number Needed Per Act
BALLS 28
BOWLING PINS 36
RINGS 30

52. Makayla biked 73 miles in two days. She biked 39 miles the first day
Makayla biked 73 miles in two days. She biked 39 miles the first day. How many miles did she bike the second day?

53. Brooke is thinking of two numbers. The product of the numbers is 24.
The sum of the numbers is 10.
What are the numbers?

54. Nicole has 48 solar panels on her roof. She has 8 panels in each row.
How many rows of solar panels does
Nicole have on her roof?

55. A group of hikers spent 7 days hiking a 63 mile-long trail. Each day
they hiked the same distance. How
many miles did they hike each day?

56. Complete each fact family.
8 * __ = 32
6 x 9 = ___
2 * ___ = 12
3 3 = ___
___ * 5 = 35
9 x ___ = 72
__ * 3 = 18
7 8 = ___
2 x ___ = 16
___ 7 = 42
3 x ___ = 24
___ 4 = 28
8 * 6 = ___
5 x ___ = 40
1 * 7 = ___

57. If 56 members of a marching band march in rows of 7, how many
rows are there?

58. A clutch is the total number of eggs
laid at one time. A green turtle lays
two clutches of eggs on the beach.
Use the picture at the right to find
how many eggs the green turtle
laid in all.
One clutch has
108 eggs and the
other clutch has
110 eggs.

59. The Volusia-Flagler Turtle Patrol protects sea turtle nests in Volusia County and Flagler County in Florida. They are sending 5 groups to patrol 25 miles of beach. If each group patrols the same length of beach, how many miles of beach will each group patrol?

60. A chorus with 27 members is having a concert. Can the students stand
in 4 equal rows if 3 members are
absent for the night of the concert?
Explain.

61. Mackenzie put 32 flowers into eight bouquets. How many flowers were
in each bouquet if each had the
same number of flowers?

62. Evan and Isaac are making 4 milk-jug birdfeeders for their
environmental studies class.
Each birdfeeder will use the same
number of wooden dowels. If they
have 24 dowels in all, how many
dowels will be used for each feeder?

63. Addison bought a bag of 30 beads to make bracelets. Each bracelet
requires 5 beads. How many
bracelets can she make?

64. Stephanie is packing 18 paperweights in boxes. She packs them in 6
boxes with the same number of
paperweights in each box. How
many paperweights are in each box?

65. Mason delivers newspapers on weekends. He is bundling 54
newspapers by putting 6 newspapers
in each bundle. How many bundles
does Mason make?

66. Luke is going camping with friends. He packed 30 sandwiches.
How many sandwiches can Luke
and his friends eat each day if
they go camping for 5 days and
eat the same number of sandwiches
each day?

67. Andrea bought 36 pencils to give to her friends before the first day
of school. If each friend received 6
pencils, how many friends did
Andrea buy pencils for?

68. Showing Multiplication and Division with Arrays

69. Zoe buys 20 bookmarks for herself and three of her friends. Each
person received the same number
of bookmarks. How many bookmarks
did they each receive?

70. Lillian has 36 sets of books to put away. She puts the same
number of books in each of 6
baskets. How many sets of books
will be in each basket?

71. A box contains 15 colored pencils. Three friends divide the box of
pencils and each gets the same
amount. How many pencils does
each friend get?

72. Challenge
Using any type of pet, create a problem using multiplication or division.

73. Design a problem?

74. Design a problem?

75. Design a problem?

76. Design a problem?

77. Design a problem?

78. Design a problem?

79. Design a problem?

80. Design a problem?

81. Design a problem?

82. FLORIDA
TEST 3