MATH 34th

Choose the best term.divisor quotient multiple

product factor division

1. In the number sentence 9 x 5 = 45, 45 is the _________.

2. The number you divide by is the _________.

3. The answer in a division problem is the _________.

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 x 4 4 x 8

2 x 6 4 x 5 2 x 9 8 x 8 7 x 6

Fact FamiliesWrite 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

Write the subtraction fact for the array below.

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

Kimberly is hanging 9 suncatchers

on her windows. She put 3

suncatchers on each window.

How many windows will have

suncatchers?

Coach has 20 students in her gym

class. She separates the class into

teams of 4 students each.

How many teams will there be?

Jason has 18 glass automobiles in his collection. He decides to place

them in groups of 3. How many

groups will he make?

Gavin counted 21 eggs in the

chicken coop. If each nest has

3 eggs in it, how many nests are

in the chicken coop?

Madeline has 36 glass beads.

Each bracelet has 9 beads.

How many bracelets does

she have?

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?

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?

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?

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?

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?

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?

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

12 more cars at an auction. How

many cases will he need to hold his

entire collection?

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?

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?

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?

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?

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?

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?

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?

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?

Snooty the Manatee was born in

1948 at the Miami Aquarium. How

old will Snooty be this December?

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

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?

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?

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

Kaylee and five of her friends shared

18 pancakes equally at the Port

Orange Pancake Breakfast.

How many pancakes did each

person receive?

Relating Multiplication to Division

Operations that undo each other are called

INVERSE OPERATIONS = OPPOSITEMultiplying 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 = 6 2 x 3 = 6

6 divided by 2 = 3 6 divided by 3 = 2

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 = ___

In the fact family for the numbers

3, 7, 21, which symbol can NOT be used?

a.

x b.

c.

=

d.

+

Hunter practices his drums three

hours each day. How many hours

will he have practiced after seven days?

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

Divide

9 9 = 5 1 = 0 4 = 7 1 = 0 3 =

1 1 = 6 6 = 2 1 = 3 1 = 9 0 =

0 2 = 4 4 = 8 1 = 0 1 = 6 6 =

> < =7 7 ___ 2 2 0 5 ___ 3 1 4 1 ___ 4 4

6 6 ___ 0 4 9 1 ___ 4 1 3 3 ___ 6 1

0 3 ___ 0 8 7 1 ___ 0 6 0 1 ___ 1 1

0 9 ___ 0 7 0 2 ___ 5 5 8 1 ___ 6 1

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?

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?

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?

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?

Divide

3 2 1 4 2 4 2 1 4

5 2 5 2 1 8 4 3 2

5 3 0 3 2 4 2 1 6

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?

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

People started riding carousels in the United States in 1835. 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.

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?

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?

Divide

7 4 9 6 4 8 7 2 1 9 3 6 6 3 6

8 2 4 6 3 0 9 1 8 7 3 5 7 5 6

7 4 2 8 6 4 9 5 4 9 7 2 8 1 6

7 2 8 8 4 0 7 6 3 6 5 4 4 4 0

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 ItemTotal Number

Needed Per Act

BALLS 28

BOWLING PINS 36

RINGS 30

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

second day?

Brooke is thinking of two numbers.

The product of the numbers is 24.

The sum of the numbers is 10.

What are the numbers?

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?

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?

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 = ___

If 56 members of a marching band

march in rows of 7, how many

rows are there?

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 has108 eggs and the other clutch has

110 eggs.

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?

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.

Mackenzie put 32 flowers into eight

bouquets. How many flowers were

in each bouquet if each had the

same number of flowers?

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?

Addison bought a bag of 30 beads

to make bracelets. Each bracelet

requires 5 beads. How many

bracelets can she make?

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?

Mason delivers newspapers on

weekends. He is bundling 54

newspapers by putting 6 newspapers

in each bundle. How many bundles

does Mason make?

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?

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?

Showing Multiplication and Division with Arrays

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?

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?

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?

Challenge

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

Design a problem?

Design a problem?

Design a problem?

Design a problem?

Design a problem?

Design a problem?

Design a problem?

Design a problem?

Design a problem?

FLORIDA

TEST 3