4th Grade WASL Warm Up Questions

1
4th Grade WASL Warm Up Questions

• Taken from PASD

Number Sense
Geometry
Probability and Statistics
Measurement
Algebraic Thinking
Strategies
Logic
2
Place any of the four operation signs between the
nine figures so that they equal 100. 1 2 3 4 5 6
7 8 9 100 Write to help explain your best
thinking using words, numbers, or pictures.
Answers vary
3
The city bus left the terminal and picked up 5
people at the first stop. At the second stop, 2
people got off and 4 people got on. At the third
stop, 3 people got off and 5 got on. How many
passengers were now on the bus? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 9 people
4
The new city of Graphville is laid out on a grid.
There are 87 avenues that all run from north to
south. There are 63 streets that all run from
east to west. The avenues intersect the streets,
and there is a traffic light at each
intersection. How many traffic light are there?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 5,481 traffic lights
5
How many times does the digit nine appear in the
numbers from 1 to 100? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 20
6
Julie was reading a book that had 128 pages in
it. Figure out how many number sixes there were
in all the page numbers. Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 23
7
Briana was looking through her math book and
discovered that after page 44 the next page was
51. How many pages were torn out of the book?
Write to help explain your best thinking using
words, numbers, or pictures
Answer 6 pages
8
What numbers less than 100 make eight when the
digits are added together? (example 17 is a
solution because 178) Write to help explain
your best thinking using words, numbers, or
pictures.
17,26,35,44,53,62,71,80
9
Farmer Ruth raises cows and geese. One day she
looks out into her field and sees some of each
kind of animal. Altogether she sees 20 feet. How
many cows and how many geese does she see? Give
all possible answers. Write to help explain your
best thinking using words, numbers, or pictures.

Answer (several answers)
10
Richard was collecting shells on the beach. He
gave 5 shells to Robin and 3 shells to Sarah. He
has 8 shells left. How many did he collect? Write
to help explain your best thinking using words,
numbers, or picture
Answer 16
11
There are 30 children standing in a straight line
in Mrs. Johnson's third-grade class. Every 4th
child is wearing glasses. Every 3rd child is a
boy. Every 2nd child is wearing a red shirt. What
can you say about the 12th, 18th, and 24th
children? Write to help explain your best
thinking using words, numbers, or pictures.
Answer the 12th and 24th children are boys with
red shirts wearing glasses, the 18th child is a
boy with a red shirt
12
Linda wants to clean her fish tank. She is
putting her fish into a bowl. She picked up three
fish in a net, but one jumped back into the tank.
She put the two fish into the bowl. Then she put
the remaining five fish into the bowl. How many
fish does Linda have? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 7
13
Tanya has 55 cents in her pocket in nickels and
dimes. What is the smallest number of coins she
can have? What are they? What is the largest
number of coins she can have? What are they?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer smallest number of coins is 6 (5 dimes
and 1 nickel) largest number of coins is 10 (1
dime and 9 nickels)
14
Stuart's dog Barney wagged his tail. Barney had
never seen so many dogs at once. Stuart counted
up all the dogs at the dog show the number is
greater than 195 the number is less than 300 if
you count by l0s you say its name it can by
divided evenly by 3 and 9. How many dogs did
Stuart count? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 270
15
Conrad was scared as he knocked on the door. A
low voice said, "Before I open the door you must
name the secret number." Here are some clues it
is greater than 275 it is less than 325 if you
count by 5s you say its name it can be divided
evenly by 3 and 9. What is the secret number?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 315
16
Yolanda and Mary are playing a game with a timer
and three dice. Each player rolls three dice and
uses the three numerals rolled to make 3-digit
numbers. A numeral can only be used once in a
number. Each number is worth 10 points. Mary
rolls 3, 6, and 5. How many points can she earn?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 60
17
The magic show was almost over. Mario was getting
ready to do his famous banner trick. He pulled
banners made out of flags from a top hat. First
he pulled out a banner made up of 14 flags. Next
he pulled out a banner made up of 23 flags. The
third banner was made up of 18 flags, and the
fourth banner was made up of 27 flags. The fifth
banner was made up of 22 flags. Mario stopped
his banner trick when there were more than 50
flags in the banner. How many banners did Mario
pull out of the hat? Write to help explain your
best thinking using words, numbers,
Answer 16 banners
18
Sara asked, "Where do you see the fraction 23/30
most often?" Can you answer Sara's question?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer on a calendar
19
How many three-digit numbers contain only the
digits 5 and 6? What are they? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 6 numbers
20
There are 23 students in the class. All but 9
went outside for recess. How many students stayed
inside? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 9 students
21
Use the numbers 2, 5, and 3. What is the least
number you can get if you multiply two of the
numbers and add the third to the product? What is
the greatest number you can get? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer least 11 greatest 17
22
Make up a word problem that has 42 as its
solution. Explain how someone could solve the
problem. Write to help explain your best
thinking using words, numbers, or pictures.
Answer How many legs on seven insects?
23
I am a number between 31 and 41. I am a multiple
of 3. I am an even number. What number am I?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 36
24
Sam had 12. Then he spent one fourth of the
money on a book. How much money did Sam have
left? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 9 left
25
Write a word problem that can be solved by
finding 45 divided by 2. Then solve your problem.
Write to help explain your best thinking using
words, numbers, or pictures.
Answer How many bicycles can be made with 45
wheels?
26
A window in Helen's house is made up of 12 small
panes of glass. While playing baseball, she
accidentally broke 4 of the panes. What fraction
of the panes were not broken? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 2/3 of the panes
27
Jim bought a bunch of grapes. He ate one half of
the grapes. Then his friend Gary ate one fourth
of the remaining grapes. There were 6 grapes
left. How many grapes were in the bunch to begin
with? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 16 grapes
28
Judy needs 5 pounds of flour to bake some
cookies. She has three partially filled bags of
flour. They contain one and one fourth pounds,
two and one fourth pound, and three fourths
pound. Does Judy have enough flour to bake
the cookies? Write to help explain your best
thinking using words, numbers, or pictures.
Answer no - not enough flour to bake the cookies
29
Kim, Judy, and Mary decided to equally share the
cost of a present for their friend. Kim spent 7,
Judy spent 3, and Mary spent 2. How much did
each person pay the others so that everyone spent
the same amount? Write to help explain your best
thinking using words, numbers, or pictures.
Answer Mary gives Kim 2 dollars Judy gives Kim
1 dollar
30
Ed jogs every third day, Ned jogs every 4th day,
and Fred jogs every 6th day. If they all jogged
today, when will they all jog on the same day
again? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 12 days from now
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31
A map of a National Forest in Alaska has a scale
of one inch for every 75 miles. The perimeter of
the forest is 7,125 miles. How many inches would
represent the perimeter on the map? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 95 inches
32
How many times does X occur in the diagram below?
Write to help explain your best thinking using
words, numbers, or pictures. XXXXXXXX
XXXXXXXXXX XXXXXXXXXXXXX
XXXXXXXXXXXXX XXXXXXXXXXXX
XXXXXXXXXXXXXXX XXXXXXXXXXXXX
XXXXXXXXXXXXXXXXXX XXXXXXXX
XXXXXXXXXX
Answer 120
33
How many times does the letter X occur in the
diagram below? Write to help explain your best
thinking using words, numbers, or pictures.
XXX XXXXX XX
XXXXX XXXXXXXXX XXXXXX
XXXXXXXXXX XXXXXXXXXXXXXX
XXXXXXXXXXXXXXXXX
Answer 71
34
How many times does the letter X appear in the
diagram at the right? Write to help explain you
r best thinking using words, numbers, or
pictures. XXXXXXX XXXXX
X XXXX XX X
XXX XXXXXX XXXXXXX
Answer 36
35
There are two rectangles whose dimensions are
whole numbers and whose area and perimeter are
the same number. Find them. Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 4x4 and 3X6
36
For Gilda's party, the Hoagie House prepared a
huge sub sandwich on a 7-foot long Italian roll.
Gilda wants to feed 16 friends. How many cuts
must she make? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 15
37
Candy delivers packages. Today she started on the
first floor and went up 7 Floors. Then she went
down 3 floors, and then up 16 floors. She went up
2 more floors to the top floor of the building.
How many floors were in this building? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 23
38
Sasha's family is having a big reunion on July 4.
They borrowed tables and are setting them up
outside. They can put three chairs on each side
of the tables. If they set up 8 tables in a long
row, with the tables together on one side, how
many family members can sit down to eat? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 54
39
Penny works in the Package Palace. It is Penny's
job to stamp the sides of packages that are not
touching the floor and not touching another
package. Today there are 25 packages on the
floor. Penny put the packages in 5
stacks, and the sides of the stacks touch. How
many sides of packages must Penny stamp? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 65
40
Alice watched an ant hunting for food. The ant
was traveling in a straight line toward a crumb
on the floor. Suddenly it turned around and
crawled 9 inches back to Alice's shoe. Another
ant joined it and together they hurried 11 inches
back toward the crumb. The two ants stopped and
came back 2 inches toward Alice's shoe. Finally
they turned around and raced 5 inches to the
crumb. How far was the crumb from Alice's shoe?
Write to help explain your best thinking using w
ords, numbers, or pictures.
Answer 14 inches
41
Sandy and Mario are going into Tuneville Center
to hear a band play. They can get in through two
different entrances. Each entrance goes into a
lobby that has a snack bar in it. There are five
doors going from the lobby into the room where t
he band will play. How many different paths can
Sandy and Mario take to get from outside
Tuneville Center to their seats in the band room?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 10
42
The Wizard at Windows is washing all the windows
in the building at 946 Third Street. There are 9
floors in the building and 12 offices on each
floor, 6 offices across the back of the building
and 6 offices across the front of the building.
The outside wall of each office has 2 windows.
How many windows does the Wizard have to wash?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 180
43
Describe a square and a rectangle. How are they
alike? How are they different? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer alike (4 sides, opposite sides equal and
parallel ,all angles equal) different
(rectangles may have 2 longer sides)
44
Suppose that you are facing west. If you turn
left three times, then twice to the right, what
direction is behind you? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer South
45
Ryan made 9 cuts in a board to divide it into
equal 5-inch-long pieces. How long was the board?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 50 inches
46
Ellen leaves school and walks 25 blocks south.
Then she turns east and walks 16 blocks. Then she
turns north and walks 15 blocks. Then she turns
west and walks 16 blocks. Is she north, south,
east, or west of the school and how far? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer South 10 blocks
47
Jake plans to make 12 cuts in a board. There will
be a 10-inch interval between cuts. How long is
the board? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 130 inches
48
Mary, Dave, Kim and Mike are sitting around a
table. Kim is sitting across from Mary. Mary is
sitting at Dave's right. Where is each person
sitting? Write to help explain your best thinking
using words, numbers, or pictures.
Answer (clockwise) Kim, Mike, Mary, Dave
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49
If Anna rolled one di 120 times, what fraction of
the time should it come up a five? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 20/120 or any fraction equal to 1/6
50
Lane read 5 books during his spring break. In
order, he read books that were the following
lengths 125 pages, 278 pages, 97 pages, 114
pages, and 346 pages. What was the range of
pages that he read? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 249 pages
51
Bonnie went to the grocery store to buy some soda
pop. She noticed that different brands cans
contained varying amounts of pop. GatorDew cans
contained 355 milliliters, SweetCola came in 360
milliliter cans, OkraCola was sold in 352 ml
cans, and SugarUp came in 357 ml cans. What was
the average size the four cans? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 356 milliliters
52
Hans checked the temperature in his apple orchard
at 1000 P.M. His thermometer read 37F. Hans
kept checking his thermometer every hour for the
next 8 hours and got these readings 37, 35,
33, 32, 30, 30, 29, 30. What was the
median temperature during this 8 hour period?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 32 F
53
List all of the two digit numbers that can be
made using the numbers 3,4,7,and 9. Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 34,33,37,39,43,44,47,49,73,74,77,79,93,94,
97,99
54
Julia is dressing her new Barbie doll. She has 2
blouses, a red and a yellow. She has 3 skirts, a
green one, a white one, and a blue one. She can
dress Barbie in 6 ways. List the ways on your
paper. Write to help explain your best thinking
using words, numbers, or pictures.
Answer R-G, R-W, R-B, Y-G, Y-W, Y-B
55
Betty was dealing out the cards for Ned. After
she dealt out 4 cards, she told Ned to turn them
over. "Now," she said, "how many different four
digit numbers can you arrange your cards in?"
Ned had these four cards 3, 5, 7, and 9. How
many ways are there? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 24
56
We are going to the ball game. There are 12
different gates from the outside. Then there are
16 different stairways into the stadium. How many
different ways can we go into the stadium? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 192
57
Josh is going to the beach. He is looking for a
towel, a T-shirt, and something to play with. He
finds three T-shirts red, green, and blue. He
finds three towels striped, plaid, and dotted.
He finds three things he can play with at the
beach a frisbee, a kite, and a ball. He picks
out one towel, one T-shirt, and one thing to play
with. What are all the different combinations of
things he could choose? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 27
58
I need 45 cents worth of stamps to send a letter
to my pen pal. I looked at the stamps my mother
has, and they are all 15-cent, 10-cent, and
5-cent stamps. How many different combinations of
stamps can I put on my letter?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 12
59
Jenny and Joan are going to swim in the pool at
the city park center. They can get into the
building through four doors. Two of the doors
open into the front locker room. The other two
doors open into the back locker room. There are
two different stairways from each locker room to
the swimming pool. How many different paths can
Jenny and Joan take from outside the city park
center to the pool? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 16 paths
60
Manuel and Grace can hear their friends' voices
at the entrance to the cave. Manuel and Grace are
exploring a small room at the back of the cave.
There are four tunnels leading from the small
room to the large room where water is dripping
down the walls. In the large room there are four
different stairways that Manuel and Grace can
climb to join their friends at the entrance to
the cave. How many different paths can Manuel and
Grace take to get from the small room to their
friends at the entrance? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 16
61
There are four fire trucks in Fast Fire Station
truck number 9, truck number 7, truck number 5,
and truck number 3. When the station gets a fire
call, two trucks leave the station. One of the
trucks goes out first, the other one goes out
second. For example, number 9 goes out first and
number 7 goes out second or number 7 goes out f
irst and number 9 goes out second. What are all
the different ways in which the four numbered
trucks could come out of the station? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer (1st-2nd) 9-7 9-5 9-3 7-5 7-3 7-9
5-3 5-9 5-7 3-9 3-7 3-5
62
How many different combinations of coins total
exactly 31 cents? Write to help explain your
best thinking using words, numbers, or pictures.

Answer 17 combinations
63
If you have 3 hats and 3 jackets, how many
different combinations of a hat and a jacket can
you wear? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 9 combinations
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64
A heavy weight attached to a cable was lowered
from a ship in the Pacific Ocean. If the weight
falls at a rate of 230 feet per minute, how deep
will it be after 13 and a 1/2 minutes. Write to
help explain your best thinking using words, num
bers, or pictures.
Answer 3,105 feet
65
Heather went hiking in the mountains. On Tuesday
she began at an elevation of 2,134 feet and hiked
7 miles to an elevation of 3,847 feet. On
Wednesday she descended 5.5 miles and stopped at
an elevation of 1,895 feet. What is the
difference between her beginning and ending
elevation? Write to help explain your best thin
king using words, numbers, or pictures.
Answer 239 feet
66
Patty woke up at 742 A.M. to get ready for
school. She had slept for 10 and 1/3 hours.
What time did she do to bed? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 922 P.M.
67
It takes 47 minutes to get from Georges house to
the ferry dock. If his boat leaves at 1113 A.M.
what is the latest possible time he can leave
home? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 1026 A.M.
68
Pam has 5.50 all in quarters. She puts them into
stacks of four. How many stacks will she have and
how many quarters will be left over? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 5 stacks and 2 left over
69
It's your birthday! You have a choice of three
presents from your parents. Present 1 is the
equivalent of your height in dollar bills, placed
end to end. Present 2 is the equivalent of your
height in nickels, placed end to end. Present 3
is the equivalent of your height in pennies,
stacked on top of one another. Which present
would you choose? Write to help explain your
best thinking using words, numbers, or pictures.

Answer pennies
70
David is climbing Mt. Cauliflower, which is 287
feet above the ground. He is 83 feet from the
top. How far above the ground is he? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 204 feet
71
If the doctor gave Jane 3 pills, with directions
to take one pill every half hour, how long will
the three pills last? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 1 hour
72
Anita has 30 cents in nickels and dimes. She has
the same number of nickels as dimes. How many of
each does she have? Write to help explain your
best thinking using words, numbers, or pictures.
Answer two coins each
73
Doug was daydreaming about his fishing trip when
the bus-driver said, "Put 32 cents in the meter
please!" Doug reached in his pocket, found the
right coins and put them in the meter. How many
different combinations of coins could Doug have
put in the meter? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 18
74
Mary Ellen and Sam were at the park, clapping for
the monkey as it did tricks to the music. When
the monkey passed the hat, Mary Ellen and Sam put
in 13 coins. Together they gave the monkey 25
cents. What coins did they put in the hat? Writ
e to help explain your best thinking using
words, numbers, or pictures.
Answer 3 nickels, 10 pennies
75
Evan and Dan are picking out the wood they need
to build a playhouse. They need 24 feet of board.
The lumber store sells boards in three lengths 4
feet, 6 feet, and 12 feet. In how many different
ways could they buy 24 feet of board? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 6
76
Megan and her sister Tara wanted to buy a bicycle
their neighbor was selling for 36. Tara had
saved 8 less than Megan, but the girls put their
money together and bought the bike. How much
money had each girl saved? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer Megan-22 Tara-14
77
Eric has 1 quarter and 6 pennies. Laura has 2
dimes. Adam has 4 nickels and 7 pennies. How can
they share the coins so that each person has the
same amount of money? Write to help explain your
best thinking using words, numbers, or pictures.
Answer Adam gives 1 cent to Laura and Eric gives
5 cents to Laura
78
The total cost of a glass of juice and an
ice-cream cone is 2. If the ice-cream cone cost
1 more than the glass of juice, how much does
each item cost? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 50 cents - juice 1.50 - ice cream cone
79
One strip of paper is 8 cm long. Another strip is
6 cm long. The two strips are taped together to
make a strip that is 10 cm long. How long is the
overlap? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 4 cm
80
Carol has 8 coins. Their total value is 78 cents.
What coins does she have? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 3 pennies 2 quarters 2 dimes 1
nickel or 3 pennies 1 half dollar 1 dime 3
nickels
81
A grocery store sells three different-sized cans
of orange juice. A 6-oz can costs 55 cents. A
16-oz can costs 1.15. A 32-oz can costs 2.79.
Which is the best buy? Write to help explain
your best thinking using words, numbers, or pict
ures.
Answer 16 oz. can for 1.15
82
Tickets for a roller coaster ride cost 2 for
adults and 1.50 for children. A group of people
paid a total of 8 to ride the roller coaster.
How many adults and how many children were in the
group? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 1 adult 4 children
83
Jim has two coins that total 30 cents. What are
the two coins if one coin is not a nickel? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 1 quarter (not a nickel) and 1 nickel
84
Duke and Donna each have ten coins. All coins are
either dimes or quarters. Duke has 5 quarters,
Donna has 60 cents more than Duke. How many
quarters does Donna have? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 9 quarters
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85
In my carpenter shop I make only 3-legged stools
and 4-legged tables. One day I looked at my day's
output and counted 31 legs. How many different
answers can you find for this problem? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 3 possible combinations (1 stool 7
tables, 5 stools 4 tables, 9 stools 1 table)
86
Julie bought some "Sensational Suntan Lotion".
The bottle and the cap together cost 1.10, but
the bottle cost 1 more than the cap. How much
does each cost? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 5 cents for the cap 1.05 for the bottle
87
A picture and a frame cost 110 together. The
picture costs 100 more than the frame. How much
does the frame cost? Write to help explain your
best thinking using words, numbers, or pictures.
Answer frame 5 and picture 105
88
Sharon, Sally, and Shelia and Sara all decided to
take up horseback riding. Shelia went twice as
many times as Sally and Sharon went four more
times than Sara but three less times than Shelia.
Sara went 5 times altogether. How many times did
Sally go? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 6 times
89
Find four consecutive odd numbers which add to
80. Write to help explain your best thinking
using words, numbers, or pictures.
Answer 17, 19, 21, 23
90
Linda had 2 snails in her tank at the end of the
first week. At the end of the second week, she
had 4 snails. At the end of the third week, she
had 8 snails. If this pattern continues, how many
snails will she have at the end of the fifth wee
k? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 32
91
Farmer Matt raises ducks and beavers. The animals
have a total of 20 heads and 54 feet. How many
ducks and how many beavers does farmer Matt have?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 13 ducks and 7 beaver
92
Jaime is building a sand castle by placing
buckets of wet sand in the shape of a triangle.
He places 1 bucket on the top, 4 buckets in the
row beneath it (row 2), 7 buckets in row 3, and
so on. If the castle contains 6 rows, how many
buckets of sand are in the bottom row? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 16
93
At Pizza Hut 2 small and 1 large pizzas cost the
same as 5 small pizzas. If one small pizza costs
4, then what does one large pizza cost? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 12.00
94
One large bowl and one small bowl hold the same
amount of soup as 5 small bowls. If one small
bowl holds 9 ounces of soup, then how much soup
does one large bowl hold? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 36 ounces
95
Five model cars cost the same as two model cars
and one model plane. If one car costs 8, then
how much does one plane cost? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 24
96
Four comic books are as thick as one comic book
and my math book. If one comic book is 7
centimeters thick, how thick is my math book?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 21 centimeters
97
At the dime store 6 cats and 1 dog statues weigh
the same as 9 cat statues. If a cat statue weighs
4 pounds, then what does a dog statue weigh?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 12 pounds
98
Astronauts saw one third as many strange objects
as moons. They saw 4 fewer moons than UFOs. They
saw one fourth as many UFOs go by as stars. They
saw 88 stars out the window of their spacecraft.
How many things did they see altogether in that
hour? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 134
99
Barbara and Janet were collecting Terrible Willy
stickers. Barbara had 8 stickers and Janet had 4.
Barbara collected a new one each week and Janet
collected 2 new ones each week. How many weeks
would it take for Janet to have exactly 10 more
stickers than Barbara? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 14 weeks
100
James noticed that each day he was in the sun he
got new freckles. On Friday he counted 31 new
freckles, and the day before he had gotten 7
fewer new freckles. Beginning on Tuesday he had
gotten 7 more new freckles each day than he had
gotten the day before. During the five days, how
many new freckles did James get? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 85
101
I needed to deliver all 384 papers by myself last
week. I needed to deliver 106 more papers north
of Main Street than south of Main Street. How
many papers did I deliver north of Main Street
and how many papers did I deliver south of Main
Street? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 245 north of Main St., 139 south of Main
St.
102
Arbie, a wind-up robot, hops when you clap your
hands. If you clap your hands once, Arbie makes 5
hops. If you clap twice, the robot makes 7 hops.
Clap three times, and Arbie makes 10 hops. Clap
four times, and Arbie makes 12 hops. Clap five
times, and the robot makes 15 hops. Arbie's hops
keep increasing in the same way. How many hops
does Arbie make when you clap ten times? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 27
103
Nancy and Nicole bought a book of tickets for
rides at Mystery Mountain Park. In the book there
were 5 more green tickets than red tickets, and
one-third as many red tickets as yellow tickets.
The girls used up the 15 yellow tickets first.
How many green tickets were still in the book?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 10
104
Donna stopped picking peaches. She sat down under
the tree and fell asleep. A family of raccoons
discovered the 42 peaches in Donna's sack. When
the first raccoon finished eating, there were
only 37 peaches left in the sack. When the second
raccoon finished nibbling, there were 32 peaches
left in the sack. Then the third raccoon ate
until there were exactly 27 peaches left in the
sack. If the raccoons kept eating the peaches in
that way, how many peaches did Donna find in the
sack after the seventh raccoon had eaten? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 7
105
There are 19 rooms for cats and 19 rooms for dogs
in Kenny's Pet Hotel. On Monday 1 cat room and 1
dog room were full. On Tuesday 4 cat rooms and 2
dog rooms were full. The next day 6 cat rooms and
6 dog rooms were full. On Thursday 9 cat rooms
and 7 dog rooms were full. If pets keep coming to
Kenny's Pet Hotel in the same way, which rooms w
ill all be full first, the ones for the cats or
the ones for the dogs? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer the rooms for cats
106
Gene and Ruth bought a bag of 50 buttons that had
pictures of dinosaurs on them. The label on the
bag showed Iguanadons and Proceratops. When Gene
and Ruth took the buttons out of the bag, they
found that there were 14 fewer Iguanadon buttons
than Proceratops buttons. How many of the buttons
showed Iguanadons and how many showed
Proceratops? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 32 Proceratops buttons, 18 Iguanadon
buttons
107
The squids and octopuses are gathering seaweeds,
and their arms are loaded. Squids have 10 arms
and octopuses have 8 arms. There are 86 arms
loaded with seaweed. How many squids and how many
octopuses are gathering seaweeds? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 3 squids and 7 octopuses or 7 squids and
2 octopuses
108
Joan went to a pet store. She saw 6 puppies, 25
fish, 4 kittens, and 15 birds. How many legs did
those animals have? Write to help explain your
best thinking using words, numbers, or pictures.

Answer 70 legs
109
The sum of two numbers is 15. The difference
between the same two numbers is 3. What are the
numbers? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 6 and 9
110
If there were 4 more children on a school bus,
there would be two dozen children on the bus. How
many children are on the bus? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 20 children
111
At her fruit stand, Vicki sells oranges for 10
cents each. One day she sold three-fourths of her
oranges and had 15 oranges left. How much money
did she make on the oranges she sold? Write to
help explain your best thinking using words, num
bers, or pictures.
Answer 4.50
112
When two numbers are added, the sum is 27. One of
the numbers is half of the other. What are the
two numbers? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 9 and 18
113
Suppose that tickets for a rock concert cost 5
cents for the first ticket, 10 cents for the
second ticket, 15 cents for the third ticket, and
so on. If you bought 10 tickets, how much would
you pay altogether? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 2.75
114
Two hundred thirty-five students go to Camp Fir
Tree. There are 17 more girls than boys. How many
are girls? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 126 girls
115
Add 6 to itself over and over again. What is the
pattern in the ones-place digits of the sums?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 6,2,8,4,0,6,2,8,4,0
Click Below to Return to Main Menu
116
Erica, Kayla, Josh, and Nathan each had a
favorite school lunch. One of them likes turkey
gravy the best, one prefers corn dogs, one favors
green salads, and one likes chicken burgers.
Kayla does not like sandwiches. Nathan does not
eat meat. Erica loves turkey. Which lunch does
each student like the best? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer Ericaturkey gravy, Kaylacorn dog,
Joshchicken, Nathangreen salad
117
Betsy's Girl Scout troop sold cookies. They sold
more chocolate mint cookies than sugar cookies.
They sold more peanut butter cookies than sugar
cookies. Which kind of cookie did they sell the
most? Which kind of cookie did they sell the
least? Write to help explain your best thinking
using words, numbers, or pictures.
Answer most chocolate mint or peanut butter
least sugar cookies
118
Henry is two years older than Sarah. David is
three years younger than Henry. Who is the
youngest? Write to help explain your best
thinking using words, numbers, or pictures.
Answer David
119
Mrs. White teaches P.E. She had her students
space themselves evenly around a circle and then
count off. Student number 16 is directly opposite
number 47. How many students are in Mrs. White's
class? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 62
120
Two boys weighing 100 pounds each and a man
weighing 200 pounds wish to cross a river. Their
boat will hold only 200 pounds safely. How can
they cross the river in the boat? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 2B Þ 1B stays 1B back Man crosses
alone 1B back 2B cross
121
Every Blip is a Blop. Half of all Blops are
Blips. Half of all Bleeps are Blops. There are 30
Bleeps and 20 Blops. All Blips are Bleeps. How
many Blops are neither Blips nor Bleeps? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer five
122
The number of persons going to a certain
Trailblazer game is 25. The number of persons
attending the opera is 15. Six persons attend
both. How many persons are attending at least one
event? How many are only going to the opera? How
many only attend the game? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer at least one event-34 opera only-9 only
the game-19
123
There were 12 third-grade children and 14
second-grade children on the playground. Nine of
the third-graders went back to class. How many
second-graders are now on the playground? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 14
124
In the big race, Lee finished ahead of Alex.
Rachel finished after Alex. Which came in first?
Who came in second? Who came in third? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 1st-Lee 2nd-Alex 3rd-Rachel
125
Larry, Bailey, Sydney, and Gerald are all trying
out for different team sports basketball,
soccer, golf, and lacrosse. The first letter of
each persons name is not the first letter of the
their sport. Larry will be out of town the entire
month of December, and cannot play a winter
sport. Baileys sport does not require any
equipment other than the ball. Sydney is trying
out to be the goalie. Write to help explain your
best thinking using words, numbers, or pictures.

Answer Larry-golf Bailey-soccer
Sydney-lacrosse Gerald-basketball
126
Tyrone and Will are playing a game. Each player
has a paper with a square on it, and some
markers. The square is divided into 4 columns
across and 4 rows down. The object of the game is
to be the first player to put 12 markers in the
12 boxes so that each row and each column has a
total of 3 markers in it. Show how you can do th
is. Write to help explain your best thinking
using words, numbers, or pictures.
Answer xxox / oxxx / xxxo / xoxx
127
Erin was on Pine Lane, trying to remember where
each of her six new friends lived Sean, Jiro,
Lee, EIsa, Dina, and Cam. She knew they lived
across from each other in the first three houses
on each side of the street. She remembered that
Sean lived in the first house directly across the
street from Jiro and next door to Lee. She also
remembered that EIsa lived next door to Jiro and
on the same side of the street as Cam. Where did
each friend live? Write to help explain your
best thinking using words, numbers, or pictures.
Answer Sean-Lee-Dina / Jiro-Elsa-Cam
128
Mary, Jose, Philip, and Theresa come to school in
different ways. One rides a bicycle, one comes by
bus, one rides on a ferryboat, and one walks.
Theresa crosses a river to get to school. Jose
doesn't ride to school. Mary sits next to her
sister on the way to school. In what way does
each child come to school? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer Mary-bus Jose-walks Philip-bicycle
Theresa-ferryboat
129
"How many of you went shopping?" asked Mr. Top as
he looked at all the packages his children had
brought home. Susi giggled and said, "Let's see.
Your daughter your son, a basketball player, a
football player a sister and a brother." Mr.
Top smiled and said, "You mean six of you went
shopping?" Susi giggled again. What is the least
number of Mr. Top's children that could have gone
shopping? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 2
130
Mario, Julie, Andrea, and Elmer were the only
skaters on the ice rink, so they had a race. They
raced around the rink and back to the starting
place. Elmer came in 5 seconds after Julie.
Andrea came in 5 seconds after Elmer. Mario came
in 11 seconds before Andrea. Julie finished in 20
seconds. Who won the race? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer Mario
131
Mr. Lewis packs lunches for his children every
day. Today he made four different lunches a tuna
sandwich, hot soup, a peanut butter sandwich, and
a salad. Daniel does not like a cold lunch. Ben
chose the tuna sandwich. Martin did not choose a
sandwich, but Julie did. Which lunch did each
child take? Write to help explain your best
thinking using words, numbers, or pictures.
Answer Daniel-hot soup Ben-tuna sandwich
Martin-salad Julie-peanut butter sandwich
132
At the end of a game, Martha was 30 points ahead
of Sue. Bill was 25 points behind Tom. Sue was 15
points ahead of Tom. Who won the game? In what
order did the other players finish? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer Martha (winner), Sue, Tom, Bill
Click Below to Return to Main Menu
133
Ana has 49 copper and silver coins in her
collection. She got quite a few of them on her
birthdays. She has 13 fewer copper coins than
silver coins in her collection. How many coins
does she have of each kind? Write to help
explain your best thinking using words, numbers,
or pictures.
Strategy Guess, check and revise Answer 31
silver, 18 copper
134
Together Alice and Mark walked a total of 10.5
miles in the School walk-a-thon. Alice walked
twice as far as Mark and she had blisters to
prove it. How many miles did Alice and Mark each
walk? Write to help explain your best thinking
using words, numbers, or pictures.
Strategy Guess, check and revise Answer Amy 7,
Marcus 3.5
135
In the huge fish tank there are fish and eels.
There are 405 marine animals altogether, and
there are 125 more fish than eels. How many
marine animals of each kind are there? Write to
help explain your best thinking using words,
numbers, or pictures.
Strategy Guess, check and revise Answer 265
fish, 140 eels
136
I am thinking of a number. Subtract 5. Then add
18. The answer is 22. What is the number? Write
to help explain your best thinking using words,
numbers, or pictures.
Strategy Guess, check and revise Answer 9
137
Kim and Leadra programmed Rosie The Robot to
travel around the school. They sent her out of
their classroom, had her turn right and go
straight down the hall 6 classrooms and then turn
left. They had her go straight 4 classrooms and
then turn right. She went ahead 6 classrooms and
turned right. She went ahead 7 classrooms and th
en she suddenly stopped and started to beep! Can
you draw a map and show where Rosie started to
beep? Write to help explain your best thinking
using words, numbers, or pictures.
Strategy Draw a picture Answer (map)
138
The big old house in the center of town was
called the House of Stairs. Years ago, someone
who was crazy about stairs built the house with 4
different stairways from the first floor to the
second floor, and 5 different stairways from the
second floor to the third floor. How many
different ways could you get to the third floor
from the first floor in the House of Stairs?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Draw a picture Answer 20
139
The Riverboat Kids explore rivers. This summer
they went from one end of Pepper River to the
other. They started out at Duck Harbor and rowed
7 miles south to one end of the river. The next
day they rowed 9 miles north to Rooster Cove.
When a storm came up, they turned around and
rowed 5 miles south to Scooter Park. They camped
there overnight. The next day they rowed 12 miles
north to the other end of the river. How many
miles long is Pepper River? Write to help
explain your best thinking using words, numbers,
or pictures.
Strategy Draw a picture Answer 16
140
Marty and Ramon want to ride the new Skystreak
roller coaster at the amusement park. The boys
can go into the park through three different
gates. They must stop at the main ticket booth
that is just inside the gates, and they can take
four different walkways from the ticket booth to
the Skystreak. How many different paths can Marty
and Ramon take from outside the park to the
Skystreak? Write to help explain your best
thinking using words, numbers, or pictures.
Strategy Draw a picture Answer 12
141
A model of a dinosaur stands in a glass case in a
museum. Its four legs and tail touch the floor.
Last night a mouse went through one of the two
doors into the glass case. The mouse ran up one
of the dinosaur's legs, onto the body, and up the
neck to its head. How many different paths could
the mouse take from outside the glass case up to
the dinosaur's head? Write to help explain your
best thinking using words, numbers, or pictures.
Strategy Draw a picture Answer 10
142
A fireman stood on the middle step of a ladder.
As the smoke cleared, he climbed up three steps.
The fire got worse so he had to climb down five
steps. Then he climbed up the last six steps and
was at the top of the ladder. How many steps were
in the ladder? Write to help explain your
best thinking using words, numbers, or pictures.
Strategy Draw a picture Answer 8 steps
143
From a large sheet of postage stamps, three
attached stamps can be torn off in six different
ways. Make drawings to show the six ways. Write
to help explain your best thinking using words,
numbers, or pictures.
Strategy Draw a picture Answer (drawing)
144
In a horse race Crazyhorse finished 1 length
ahead of AppleEater. AppleEater was not the last
place horse. BobbiSue finished 7 lengths ahead
of Electricity. Crazyhorse finished 7 lengths
behind Dobbin. Electricity finished 3 lengths
behind Crazyhorse. What was the finishing
position of each horse? Write to help explain
your best thinking using words, numbers, or
pictures.
Strategy Draw a picture Answer Bobbi Sue,
Dobbin, Electricity, Crazyhorse, AppleEater
145
Mandy folded her T-shirts and put them in two
stacks in her drawer. She put three T-shirts in
each stack. She put the green shirt under the
blue shirt. She put the yellow shirt on the right
side of the green shirt. She put the orange shirt
on top of the blue shirt. Finally Mandy put the
pink shirt between the yellow shirt and the red
shirt. Where did Mandy put each T-shirt in her
drawer? Write to help explain your best thinking
using words, numbers, or pictures.
Strategy Act out the problem or use objects
Answer (orange-blue-green) (red-pink-yellow)
146
Rico keeps his games on a shelf that makes a 2x3
grid in his wall. Sly Spy is below of Chinese
Checkers. His Chess game is on the left side of
Sly Spy. Crazy Cards is between Chinese Checkers
and Dominoes. Dominoes is above the Beetles
game. Where is each game on Rico's shelf? Write
to help explain your best thinking using words,
numbers, or pictures.
Strategy Act out the problem or use objects
Answer top (Dominoes-Crazy Cards-Chinese
Checkers) bottom (Beetles-Chess-Sly Spy)
147
Here are 9 hamburgers on a 3x3 grill. One
hamburger has cheese on it in the upper left
corner. Put cheese on 5 more hamburgers, but be
sure to leave 1 hamburger without cheese in each
row and in each column. Which
hamburgers did you put cheese on? Write to help
explain your best thinking using words, numbers,
or pictures.
Strategy Act out the problem or use objects
Answer (drawings)
148
With my new spray formula, trees grow 1 foot a
day and ferns grow 2 feet a day. Today I found a
trees 1 foot high and a fern 7 feet high. In how
many days will the fern be three times as high as
the tree? Write to help explain your best
thinking using words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 4
149
Big Burger is giving away gold and silver
coupons. The gold coupons are worth 15 points and
the silver coupons are worth 10 points. Owen is
saving coupons so he can get free Super-Big
Burgers. So far Owen has coupons worth 215
points. How many gold coupons and how many silver
coupons does Owen have? Write to help explain
your best thinking using words, numbers,
or pictures.
Strategy Make a table, chart, or organized list
Answer eleven 15-pt. five 10-pt.
150
Three boxes of 4 lb. Snake Powder weighs the same
as one box of 4 lb. Snake Powder and a can of
Lizard Tears. How many pounds does one can of
Lizard Tears weigh? Write to help explain your
best thinking using words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 8 pounds
151
Kara and Dora are collecting red coupons and
green coupons from cereal boxes. The red coupons
are worth 5 points and the green coupons are
worth 2 points. As soon as they have coupons
worth 50 points, they can send in for a prize.
Right now they have 11 coupons that are worth 37
points. How many coupons of each color do they h
ave? Write to help explain your best thinking
using words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 5 red
coupons - 6 green coupons
152
The people in the Land of Few make up their own
telephone numbers. The only numerals they use are
2, 6, 7, and 8. Their telephone numbers are two
digits long. This is what the telephone book
looks like now (Name, Telephone Number)(Adams,2
2) (Bears, 26) (Cricket, 27)(Dim, 28) What other
telephone numbers can be made by the people in
the Land of Few? Write to help explain your best
thinking using words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer (62, 66, 7, 68, 72, 76, 77, 78, 82, 86,
87, 88)
153
Marvin Monkey wanted to start a school. So he
counted all the young monkeys in his jungle. When
Marvin finished counting, he gave these clues
There were more than 25. There were fewer than
40. I said the number when I counted by fives.
I didn't say the number when I counted by tens.
How many young monkeys did Marvin count? Write
to help explain your best thinking using words,
numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 35
154
Carol's cat weighs 2 pounds. Doug's dog weighs 14
pounds. Both pets are gaining about a pound a
month. If they keep on gaining weight like that,
the dog will soon weigh three times as much as
the cat. How many pounds will the cat weigh then?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 6 pounds
155
Meredith got on the bus and dropped her coins
into the money meter. Her bus fare was 15 cents.
How many different groups of coins could Meredith
have used to pay for her bus fare? Write to help
explain your best thinking using words, numbers,
or pictures.
Strategy Make a table, chart, or organized list
Answer 6
156
I need to decide what to do with my friends. We
can bike, walk, or go by skateboard to the park.
We can go swimming, play catch, or fly a kite at
the park. Then we will go get ice cream, popcorn,
or a soda. What are all the different plans we
can make for afternoon? Write to help explain
your best thinking using words, numbers, or
pictures.
Strategy Make a table, chart, or organized list
Answer 27
157
Mike is 4 years old and Andy is 13 years old.
When will Andy be twice as old as Mike? Write to
help explain your best thinking using words,
numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer in 5 years
158
Pat was playing "Guess the Number" and gave these
clues The number has 3 digits. Ú The digit in
the 100's place is greater than 7. The digit in
the 10's place is less than 2. The number is
even. What are the possibilities for the number?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 800,802,804,806,808,810,812,814,8
16,818,900,902,904,906,908,910,912,914,916,918
159
At noon on Monday, 51 caterpillars met for lunch
on the leaves of the old tree. On Tuesday, only
42 caterpillars came to the tree for lunch (The
rest of the caterpillars were building cocoons.)
On Wednesday, only 33 caterpillars came to the
tree. The number of caterpillars coming for lunch
kept decreasing in the same way each day. On what
day did only 6 caterpillars come to the tree?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Look for a pattern Answer Saturday
160
I had 500 jellybeans and hand out 50 jellybeans
on the first day of the month. On the second day
I hand out 62 jellybeans, 12 more than the first
day. On the third day they hand out 74
jellybeans, 12 more than the second day. If I
hand out all the jellybeans at this rate, how
many days will it take to hand them all out?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Look for a pattern Answer 7
161
Yolanda and Willie found that they were getting
more and more snails in their garden. On the
first day they counted 9 snails, then on the
second day there were 17. On the third day they
counted 24, 32 on the fourth day,
and 39 on the fifth day. On what day did they
count more than 90 snails? Write to help explain
your best thinking using words, numbers, or
pictures.
Strategy Look for a pattern Answer 12
162
n old sneaker, a cup, a bottle, and a can fell
off Drew's Dock and dropped to the bottom of the
water. Along came a fish, a snail, a crab, and a
worm who were looking for homes. The worm
slithered into the bottle. The crab crawled into
the sneaker. The fish wouldn't go near the can.
What did each sea animal choose as its home?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Use logical reasoning Answer
fish-cups snail-can crab-sneaker worm-bottle
163
Sheldon, Lorna, Della, and Jess each ate a
d