5th Grade Warm Up Questions

1
5th Grade Warm Up Questions
Number Sense
Algebraic Thinking
Strategy
Logic
Geometry
Measurement
Probability and Statistics
2
George had 75 football cards. He gave 3-for-1 in
four trades. Then he received 5-for-1 in two
trades. How many cards does he have now? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 75 cards
3
I am a number less than 100. My units digit is a
4. The sum of my digits is an odd number. My tens
digit is a multiple of 3. Who am I? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 34 or 94
4
One jar is half full of vinegar and another jar
twice its size is one quarter full of vinegar.
Both jars are filled with water and the contents
are mixed in a third container. What part of the
mixture is vinegar? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 1/3 vinegar
5
Monica is thinking of a number. Can you guess her
number using these clues? It is a three digit
number. Its digits are in descending order. It is
divisible by three. The hundred's digit is two
more than the one's digit. Add the three digits
will give you a dozen. Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 543
6
Jeff has less than 30 marbles. When he puts them
in piles of 3 he has no marbles left over. When
he puts them in piles of 2 he has 1 left. When he
puts them in piles of 5 he has 1 left. How many
does he have? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 11 marbles
7
A large truck, a 14-wheeler, has 2 wheels on its
front axle. Each of the other axles has 4 wheels.
How many axles does the truck have? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 4 axles
8
Jesse was out playing golf last Thursday On the
first six holes, he lost 4 golf balls. On the
next six holes, he lost one-half of the number of
golf balls he had then. On the last six holes, he
only lost 2 more golf balls. He finished with 4
golf balls. How many did he start with? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 16 golf balls
9
The Girl Scouts were collecting tin cans to
recycle. Helen collected the most cans. Amanda
collected 7 cans less than Helen. Alex collected
4 more cans than Amanda. Alex collected 14 cans.
How many cans did the three girls collect
altogether? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 41 cans
10
Mrs. Green is buying cookies for the class party.
She expects that each pupil will eat 4 cookies.
How many dozen will she need if there are 24
pupils in the class? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 8 dozen
11
Jean needs to cut a board into two 3.5 foot
pieces. She starts with an 11 foot board. How
much of the board will she have left after she
makes the cuts? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 4 feet
12
Larry, Curly, and Moe decided to race up the
stairs which have 24 steps. Larry takes the steps
2 at a time while Curly takes the steps 3 at a
time while Moe takes the steps 4 at a time. If
all three start at the bottom at the same time,
who will finish 1st? 2nd? 3rd? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 1st-Moe 2nd-Curly 3rd-Larry
13
Larry, Curly, and Moe decided to race up the
stairs that have 24 steps. Larry takes the steps
2 at a time while Curly takes the steps 3 at a
time while Moe takes the steps 4 at a time. If
Moe starts at the bottom, what step should Larry
and Curly start on so all three finish in a tie?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer Larry 12 and Curly 6
14
At the end of the school day Mr. Howard had 30
pencils in the pencil box. In the morning, he
gave 12 pencils to students. At lunch time, he
got 6 of them back. He then gave 8 pencils to
other students in the afternoon. How many pencils
did he start with? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 44 pencils
15
The four girls washed the neighbor's dog for 50
cents. They didn't know how to divide the money,
so the dog owner said "I will give the four of
you 4/5 of the total amount. To the first one to
tell me how much that is, I will give 1/2 of the
other 1/5" . If someone gave the dog owner the
right answer, how did the money get divided up?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 3 girls got 10 cents, 1 girl got 15
cents, and the dog owner saved 5 cents
16
Angie and Lisa were taking gymnastics together.
One day each of them ran to class from where they
lived. Together it took them 12 3/4 minutes. It
took Lisa twice as much time as it took Angie.
How many minutes did it take each of them to run
to class? Write to help explain your best
thinking using words, numbers, or pictures.
Answer Lisa-8 1/2 minutes Angie-4 1/4 minutes
17
At school they did a survey of everyone's
favorite sport. The survey showed that one third
as many kids liked tennis as liked basketball.
There were one fifth as many kids who said they
liked basketball as said they liked baseball or
softball. Then one half as many kids liked
baseball or softball as liked soccer. There were
90 kids who liked soccer the best. How many kids
did they interview, and how many liked each sport
the best? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 147 kids were interviewed, 3 liked
tennis, 9 liked basketball, 45 liked baseball or
softball, and 90 liked soccer best
18
Sue's great-grandfather was 100! They were
celebrating with a big family cookout and Sue was
taking orders. She found one fifth as many people
wanted chicken as wanted ribs, one fourth as many
people wanted ribs as wanted hot dogs, and one
half as many people wanted hot dogs as wanted
hamburgers. Sue gave her brother, the chef, an
order for 80 hamburgers. How many people asked
for chicken, how many people asked for ribs, and
how many asked for hot-dogs? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 40 hot dogs, 10 ribs, 2 chicken
19
Danielle was the 100th runner across the finish
line. Lots of runners finished after Danielle.
Here are some clues for the number of runners who
finished the race it is more than 280 it is
less than 316 if you count by 4s you say its
name it can be divided evenly by 7. How many
runners crossed the finish line? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 308
20
A package of plastic forks contains 8 forks. A
package of plastic knives contains 12 knives.
What is the fewest number of packages you would
have to buy to have exactly the same number of
forks as knives? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 3 pkg. forks 2 pkg. knives
21
Sarah has between 50 and 100 pennies in her
collection. When she divides them into groups of
2, of 3, or of 7, there is always 1 penny left.
How many pennies does Sarah have in her
collection? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 85 pennies
22
The number of students on the field trip is
greater than 30 but less than 50. When seated 2
in a seat on the bus, no student has to sit
alone. When placed in groups of 5 for a tour, all
groups are the same size. How many students are
on the field trip? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 40 students
23
What does 4 divided by 3 mean? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer how many groups of three are in 4
24
What fraction of the letters in the word multiply
are also in the word product? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 1/4
25
There are 5 people at a meeting. If each person
shakes hands with each of the other once, how
many handshakes are exchanged? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 10 handshakes
26
How many times would the digit, 2, be written if
you wrote down all the whole numbers from 1 to
100? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 20 times
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27
The total weight of recycled material was 40
pounds. The newspapers weighed four times the
tin. The glass is five pounds less than the
newspapers. Find how many pounds of each material
was recycled. Write to help explain your best
thinking using words, numbers, or pictures.
Answer newspapers-20 lb. tin-5 lb. glass-15 lb.
28
The sum of four page numbers that come one after
another is 682. What are the page numbers? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 169, 170, 171, and 172
29
Sara, Ann, and Eric were collecting baseball
cards. Sara had 210 cards. Ann had twice as many
cards as Sara. Eric has as many cards as Sara and
Ann together. How many baseball cards did Eric
have? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 630 cards
30
The Bookworm had 20 copies of Raising Your Rabbit
Right!. After a week they had 17 copies left. At
the end of two weeks they had 16 copies left and
after three weeks they had 13 copies left. At the
end of four weeks they had 12 copies left. If
they kept selling copies of the book at this same
rate, how many copies would they have left at the
end of nine weeks? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 1 copy
31
The seagulls were following the Sea Wolf, because
Ted and Mike had a good catch that morning. They
counted their fish and after the fourth hour
there were 40. The third hour there were one half
as many fish as in the fourth hour, and during
the second hour there were half as many as they
counted in the third hour. The first hour there
were one half as many as in the second hour. How
many fish did Ted and Mike catch altogether
during the four hours? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 75 fish
32
There were two baby dolphins at the South City
Aquarium. Baby Dave is 25 days old and baby Dan
is 5 days old. When will Dave be three times as
old as Dan? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 5 days later
33
It took George and Amy a total of 2 hours to put
up all the notices for the pet show. They posted
notices on trees and bulletin boards around town.
All kinds of prizes were to be given, including
one for the "ugliest" pet. Amy worked three times
as long as George putting up signs. How long did
each of them work? Write to help explain your
best thinking using words, numbers, or pictures.
Answer Amy90 minutes George30 minutes
34
Morris hated raking leaves. There were two trees
that he hated the most, because they always were
dropping leaves. One day he decided to count how
many red and yellow leaves dropped from the trees
every hour. In the first hour there were 8 red
leaves and 8 yellow leaves on the ground. In the
second hour there were 12 yellow leaves and 15
red leaves on the ground. In the third hour he
counted 15 yellow leaves and 16 red leaves on the
ground. In the fourth hour there were 19 yellow
leaves and 23 red leaves on the ground. Then at
the end of the fifth hour he found 22 yellow
leaves and 24 red leaves on the ground. If the
leaves kept dropping at the same rate, how many
hours would it take for 50 red leaves and 50
yellow leaves to drop on the ground? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 12 hours-red 13 hours-yellow
35
Jim's Market couldn't keep Crunchy Critter
Crackers in stock. Jim started with 300 boxes but
everyone wanted them. The first day Jim sold 6
boxes, and on the second day he sold 14 boxes.
Each day 8 more boxes were sold than the day
before. So after two days, he had sold 20 boxes.
If he kept selling the crackers at this rate,
when would Jim run out of Crunchy Critter
Crackers? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 9 days
36
With loud beeps, the spaceships from the planets
Morunda and Boranda touched down. The Morunda
spaceships each landed on 8 robot "feet," and the
Boranda spaceships each landed on 12 robot
"feet." When the spaceships left, someone counted
208 "feet" marks in the dust. How many spaceships
had been there from each planet?
Answer 10 Borandas, 11 Morundas or 14 Morundas,
8 Borandas
37
At the skateboard park near Ivan, there seemed to
be more skateboarders each week. Ivan counted 20
skateboarders one week. The next week there were
27 and the next week there were 31. There were
38 skateboarders the fourth week and 42 the fifth
week. In what week would Ivan count 80 or more
skateboarders? Write to help explain your best
thinking using words, numbers, or pictures.
Answer Week 12
38
Wilma, a wicked witch, decided to steal 300
ladybugs for her garden. On the first day she
took 20 ladybugs. On the second day she took 15
more ladybugs than on the first day. Each day she
took 15 more ladybugs than she had taken the day
before. How many days did it take Wilma the
wicked witch to steal more than 300 ladybugs?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 6 days
39
Tisha and Joy went to a farm where you could pick
your own strawberries. In the first 10 minutes
together they picked 21 strawberries. In the
second 10 minutes they picked 11 more
strawberries than they did in the first 10
minutes, or 32 strawberries. In the third 10
minutes they picked 11 more strawberries than
they picked in the second 10 minutes, or a total
of 43. Each 10 minutes they picked 11 more
strawberries than they had picked during the
previous 10 minutes. How long would it take them
to pick over 250 strawberries? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 1 hour
40
Samantha and Cindy were in a canoe race. They had
to race 150 yards. The wind was blowing very hard
on the lake. After the first minute Samantha was
35 yards from the starting point and Cindy was 25
yards. After the second minute Samantha and
Cindy were both 30 yards from the starting line.
At the end of three minutes Samantha was 65 yards
and Cindy 55 yards from the starting line. After
four minutes both Samantha and Cindy were 60
yards from the starting line. If they kept going
at the same rate, who won the race and how many
minutes did it take her? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer Samantha-9 minutes
41
Can you replace the letters with numerals to make
a true equation? AA AA BBC Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 55 55 110
42
Ann and Marie are on the same team in a trivia
game. Each team answers questions that are on
blue cards worth 7 points, and yellow cards worth
9 points. Ann and Marie's team have 128 points so
far. How many of the questions they have
answered were on blue cards and how many were on
yellow cards? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 8 blue, 8 yellow
43
Ted and Sam have new bikes and already Ted has
ridden 8 miles. Sam has ridden 1 mile. If each
one rides 1 mile a day, how many days will it be
before Ted has ridden twice as far as Sam? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 6 days
44
Lee is keeping track of how many people request
the two most popular books in the library. During
the first week there were 5 requests for both
Freaky Frisbees From Outer Space and Harlow, the
Talking Goat. During the second week there were 7
requests for the frisbee book and 9 for the goat
book. During the third week there were 9 requests
for the frisbee book and 8 requests for the goat
book. During the fourth week there were 11
requests for the frisbee book and 12 requests for
the goat book and during the fifth week there
were 13 requests for the frisbee book and 11
requests for the goat book. If this rate
continued, how many people would ask for the goat
book when 25 people were asking for the frisbee
book? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 20
45
A pencil and an eraser cost 40 cents. If the
pencil costs 30 cents more than the eraser, what
is the cost of the eraser? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 35 cents/pencil 5 cents/eraser
46
There were 36 heads and 104 legs in a group of
horses and riders. How many horses were in the
group? How many riders were in the group? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 20 riders 16 horses
47
The sum of two numbers is 16 and their product is
48. What are the numbers? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 12 and 4
48
Jessica has a softball game every 3 days. She has
a piano lesson every 7 days. Every fourth day it
is her turn to wash the dishes after supper.
Today Jessica has a softball game and piano
lesson, and it is her turn to wash the dishes.
How soon will these three activities occur again
on the same day? Write to help explain your best
thinking using words, numbers, or pictures.
Answer in 64 days
49
The total cost of a model plane and a model boat
is 9. The total cost of 3 model planes and 2
model boats is 22. What is the cost of a model
plane? What is the cost of a model boat? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 4-plane 5-model boats
50
There are rectangular tables in the school
cafeteria. Two students can sit on each side, and
one student can sit at each end. How many tables
need to be pushed together to form one long table
that will seat 34? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 8 tables
51
A cereal company puts a 10 cents-off coupon in
every other box of cereal it packages. It puts a
pencil in every fifth box. It puts a coupon for a
free hamburger in every eighth box. Out of the
first 100 boxes, how many will have a 10
cents-off coupon, a pencil, and a coupon for a
free hamburger? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 2 boxes
52
On Friday Ann earned half as much as she did on
Thursday. On Saturday she earned twice as much as
she earned on Thursday. If her total earnings on
those three days was 63, how much did she earn
on each day? Write to help explain your best
thinking using words, numbers, or pictures.
Answer Thurs.18 Fri.9 Sat.36
53
A jar contains 48 marbles. Each marble is yellow,
blue, red, or white. There are twice as many
yellow as red marbles and twice as many blue as
white marbles. There are 6 more white marbles
than red marbles. How many marbles of each color
are there? Write to help explain your best
thinking using words, numbers, or pictures.
Answer Red-5 yellow-10 white-11 blue-22
54
The number of people seated in a theater doubled
every minute. It took 10 minutes to completely
fill the theater. How many minutes did it take
for the theater to become half full? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 9 minutes
55
Jill's bug collection contains 12 beetles and
spiders. Beetles are worth 10 cents and spiders
are worth 20 cents. Altogether Jill's collection
is worth 1.70. How many beetles and how many
spiders does Jill have? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 5 spiders and 7 beetles
56
A dress and a hat cost 40. The Dress cost 6
more than the hat. What was the cost of the hat?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 17 for a hat
57
Mr. Lee, a physical education teacher, bought 4
soccer balls and 5 baseballs for the school. The
total cost was60. A soccer ball costs 6 more
than a baseball. What is the price of a baseball
and a soccer ball? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 4-baseball 10-soccer ball
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58
The tower below is made up of five horizontal
layers of cubes with no gaps. How many
individual cubes are in the tower? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 35 cubes
59
Mrs. Smith is taking a log to the lumberyard. The
log is 12 feet long, and she wants to have it cut
into four pieces that are each 3 feet long. If
the lumber-yard charges 2 per cut, how much will
she spend? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 6
60
Joan went fishing. On the first cast she hooked a
trout 80 feet from the boat. Each time she reeled
in 10 feet of line the trout would take out 5
feet. How many times did she have to reel in to
get the fish to the boat? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 15 times
61
A square piece of paper is folded in half as
shown and then cut into two rectangles along the
fold. The perimeter of each of the two
rectangles is 18 inches. What is the perimeter
of the original square? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 24 inches
62
Each of the boxes in the figure below is a
square. Using the lines of the figure, how many
different squares can be traced?
Answer 22 Squares
63
Teresa built a 2-story apartment house for her
hamsters Gerald, Farley, Sam, Meredith, Lana,
and Lara. She put each hamster in one of the 6
apartments. She put Gerald next to Lara and above
Farley. Lana was at the other end from Lara. Sam
was not directly below Lana. Where did Teresa put
each of the hamsters? Write to help explain your
best thinking using words, numbers, or pictures.
Answer top Lana-Gerald-Lara bottom
Meredith-Farley-Sam
64
A rectangular garden is 14 feet by 21 feet and is
bordered by a concrete walk 3 feet wide. How
many square feet are in the surface area of just
the concrete walk? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 246 square feet
65
Muriel and Betty are stacking cartons in the
middle of the room. They are stacking the cartons
side by side, 2 rows of 9 cartons across and 6
cartons high. They have to mark each carton where
there is a side facing out, except for the tops
of the cartons. How many sides do they have to
mark? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 132
66
Troy was feeding the animals at the zoo. He
started at the monkey's cage. Then he walked down
the hill 3 cages to feed the birds. The birds are
in the first cage in the zoo. Then Troy went up
the hill 7 cages to feed the seals. From there he
went down the hill 5 cages to feed the bears.
Next he went up the hill 8 cages to the
elephants. They are in the last cage in the zoo.
How many cages are there in the zoo? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 11 cages
67
Libby and Kay were setting out records and tapes,
jewelry, toys, books, posters, and T-shirts for
the White Elephant Sale at school. They were
setting up six tables in two rows. They put the
records and tapes across from T-shirts and next
to the books. They put the posters at the
Opposite end of the row from the T-shirts. The
toys were not put next to the T-shirts. How did
Libby and Kay set up the tables for the White
Elephant Sale? Write to help explain your best
thinking using words, numbers, or pictures.
Answer row l records tapes-books-toys row 2
t-shirts-jewelry-posters
68
There are 4 separate large boxes, and inside each
large box there are 3 separate small boxes, and
inside each of these small boxes there are 2
separate smaller boxes. How many boxes, counting
all sizes, are there altogether? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 40 boxes
69
Clayton is getting some friends together to go to
a movie. He is getting his friends who live on
his floor of the apartment building. First he
walks down the hall 6 apartments to get Martha.
Martha lives in the last apartment on the floor.
Then Clayton goes up the hall 10 apartments to
get William. Next he goes down the hall 3
apartments to find Rita. From here he goes up the
hall 6 apartments to pick up James. He lives in
the last apartment on the floor. If there are
the same number of apartments on both sides of
the hall, how many apartments are there
altogether on Clayton's floor? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 28
70
Mr. Granger is building a fence. He places 15
fence posts 8 feet apart. What is the distance
from the first fence post to the last? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 112 feet
71
Five flags are spaced evenly around a track. It
took a runner 30 seconds to get from the first
flag to the third flag. If the runner continues
at the same speed, how long will it take her to
get completely around the track? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 75 seconds
72
Rectangular cards, each 2 inches by 3 inches, are
cut from a rectangular sheet 2 feet by 3 feet.
What is the greatest number of cards that can be
cut from the sheet? Write to help explain your
best thinking using words, numbers, or pictures.
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Answer 144 rectangles
73
Tod and Pat set up the display case of toys for
sale. The display case had 5 columns and 5 rows.
They put 5 cars, 5 planes, 5 trains, 5 trucks,
and 5 boats in the case. The store manager told
them to be sure to have 5 different things in
each column and each row. How did they set up the
display? Write to help explain your best
thinking using words, numbers, or pictures.
Answer CPTnBTk / TkTnCPB / PTkBTnC / BCPTkTn /
TnBTkCP
74
Blaine, Trevor Deanna, and Ann all love animals
and they each have one of these animals for a
pet a snake, a llama, a chicken, and a goat.
Blaine hates snakes. Deanna has a pet that can
carry a pack, and Trevor likes fresh eggs for
breakfast. Can you match the people with their
pets? Write to help explain your best thinking
using words, numbers, or pictures.
Answer Blaine-goat Deanna-llama
Trevor-chicken Ann-snake
75
Iris, Maxine, Ben, and Ralph were dreaming about
competing in the Olympics in track, swimming, the
high jump, and gymnastics. Iris is the fastest
runner at school, and Ralph hates water. When Ben
goes to school, he jumps over the gate instead of
going through it. Which Olympic sport do you
think each of the kids would choose? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer Ralph-gymnastics, Iris-track,
Ben-high-jump, Manine-swimming
76
Lloyd, Toby, Pepe, and Gene were talking one day
about where they would like to live a farm, a
boat, a mountain cabin, and with a circus. Toby
hates to travel. Pepe loves the ocean, and Gene
loves to plant things and watch them grow. Which
place to live do you think each person would
choose? Write to help explain your best
thinking using words, numbers, or pictures.
Answer Toby-mountains, Gene-farm, Pepe-boat,
Lloyd-circus
77
Fred is a magician who loves flowers. He has part
of a field planted with flowers that keeps
doubling in size every day. From the time that
the first flower appears until the field is
covered takes about 40 days. On what day is the
field half covered? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 39th day
78
Bob, Tye, Maria, James, and Rick are all
different ages. Maria is older than Bob and
younger than Tye. James is older than Tye. Rick
is older than Bob and younger than Maria. List
the names of the five people, from oldest to
youngest. Write to help explain your best
thinking using words, numbers, or pictures.
Answer James, Tye, Maria, Rick, Bob
79
Derek, Lisa, Curt, and Sue are brothers and
sisters. Each plays one of the following
instruments piano, drums, clarinet, and trumpet.
Derek's brother does no use his mouth when
playing his instrument. One of Derek's sisters
plays the clarinet. Lisa is glad she will never
have to march in a parade playing her instrument.
Which instrument does each play? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer Derick-trumpet Lisa-piano Curt-drums
Sue-clairinet
80
You have 8 white socks and 8 blue socks in your
drawer. You reach in without looking and pull out
one sock at a time. What is the fewest number of
socks you would need to take out to be sure you
got a matching pair? Explain. Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 3 socks
81
At the end of the track meet Team A had 5 points
less than Team B. Team D had 15 points more than
Team A. Team B had 15 points more than Team C.
What was the order of finish? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer Teams D, B, A, C
82
It takes 4 carpenters 4 minutes to nail 4 boards
in place. At this rate, how long will it take 80
carpenters to nail 80 boards in place? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 4 minutes
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83
The weight of a glass bowl and the marbles it
contains is 50 ounces. If the number of marbles
in the bowl is doubled, the total weight of the
bowl and marbles is 92 ounces. What is the weight
of the bowl? (Assume that each of the marbles
has the same weight.) Write to help explain your
best thinking using words, numbers, or pictures.
Answer 8 ounces
84
Helen bought popcorn at the movies. She bought 2
large bags, and each one cost 1.35. How much
change did she receive from a 5 bill? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 2.30
85
Sally caught two fish. One had to be thrown back
since it was smaller than the legal limit. Sally
said, "If that trout had been half again as long,
it would have been just long enough to keep." The
fish was four inches long. What is the legal
limit length? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 6 inches
86
James bought a hamburger for 89 cents and a cola
for 39 cents. He gave the clerk a 5 bill. How
much change did he get? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 3.72
87
Martha bought a used record for 1.89 and another
for 2.98. She gave the clerk a 10 bill. How
much change did she get? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 5.13
88
Michael bought a new camera that cost more than
30 but less than 40. He paid for the camera
with 5 bills and 1 bills. He paid with the same
number of each. What did the camera cost? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 36
89
Along the curb on Main Street, there are six
trees. The Merchants' Association decided to
string lights along the street. They use 100 feet
of lights between each pair of trees. How many
feet of lights do they need? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 500 feet
90
Jerry wants to enclose the largest rectangular
garden possible with the 24 feet of fencing that
he has. What are the dimensions of his garden?
(Use only whole numbers.) Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 6x6 feet
91
A road sign reads "Clarkvill126 miles North" and
"Smithtown84 miles South." How many miles would
you be from Smithtown, if you are on the road,
halfway between Clarkville and Smithtown? Write
to help explain your best thinking using words,
numbers, or pictures.
Answer 105 miles
92
Jim is a busboy. He makes 15 per day plus tips.
Last week he made 27.50 in tips. What were his
total earnings during those five days? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer 102.50
93
Sue, Sandy, and Sarah bought presents costing 98
cents, 99 cents, 1.19, and 1.49. They want to
share the cost. How much should each of them pay?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 1.55
94
Slim has 6 to spend on hamburgers and colas.
Hamburgers cost 80 cents each and colas cost 50
cents each. If he buys 5 hamburgers, how many
colas can he buy? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 8 colas
95
A monthly magazine sells for 75 cents per month
at the store. If you buy a yearly subscription it
costs 6. How much do you save by buying the
yearly subscription? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 3
96
What is the largest amount of money (all coins)
you can have and still be unable to give change
for one dollar? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 1.19 (1-50, 1-25, 4-10, 4-1)
97
Six dollars were exchanged for nickels and dimes.
The number of nickels was the same as the number
of dimes. How many nickels were there in the
change? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 40 nickels
98
Antonio was saving pennies and nickels. He had a
total of 95 coins worth 2.75. How many pennies
and how many nickels did he have? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 50 pennies, 45 nickels
99
They were painting a huge mural at Los Amigos
School. They started on Monday and finished on
Friday, when they painted 12 feet. Each day they
painted 2 1/2 more feet than the day before. How
many feet long was the mural? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 35 feet
100
Kim's mother and father own a toy store. Today
Kim and her mother are buying some tiny clay
animals for the store. Her mother likes the seals
that are 22 cents each. Kim likes the bears that
are 29 cents each. Her mother gets some of both
and pays 5.39. How many of each kind of animal
did Kim's mother buy? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 10 at 22 cents, 11 at 29 cents
101
Russell and Gwen signed up to bike and run in the
Holly School Move-a-thon. People signed up to
give money for every mile they biked or ran. They
got 15 cents for every mile they biked and 25
cents for every mile that they ran. Russell biked
and Gwen ran. Together they raised 3.05. How
many miles did Russell bike and how many miles
did Gwen run? Write to help explain your best
thinking using words, numbers, or pictures.
Answer Gwen-8 miles Russell-7 miles
102
At Albertson's you can buy a 5-lb package of
ground beef for 11.50. At Safeway a 3-lb package
of the same quality ground beef sells for 6.75.
Which is the better buy? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer 3 pound package
103
Marie is saving to buy a bike that costs 200. He
has already saved one fourth of the money. If he
saves 3 per week, will he be able to buy the
bike within one year? Write to help explain your
best thinking using words, numbers, or pictures.
Answer yes
104
Which is the better buy, a gallon of paint for
7.75 or a quart of paint for 1.99? Write to
help explain your best thinking using words,
numbers, or pictures.
Answer a gallon for 7.75
105
The Wabash Cannonball traveled 55 miles in 50
minutes. The Orange Blossom Special covered 136
miles in 2 hours. Which train had the greater
average speed? Write to help explain your best
thinking using words, numbers, or pictures.
Answer Wabash Cannonball
106
Mark has 2 quarters, 3 nickels, and 3 pennies.
Joan has 1 quarter, 2 dimes, and 1 penny. Frank
has 1 half-dollar and 4 pennies. How can Mark,
Joan, and Frank share the coins so that each has
the same amount of money? Write to help explain
your best thinking using words, numbers, or
pictures.
Answer Mark gives Frank 2 cents and Joan 2
nickels
107
At her fruit stand, Wendy sells apples for 25
cents each. One day she sold three fourths of her
apples and had 33 apples left. How much money did
she make on the apples she sold? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 24.75
108
Sue can't resist donuts. She saw that plain
donuts were on sale for 35 cents each and fancy
donuts for 50 cents each. Sue bought a dozen
donuts and paid 4.65. How many fancy donuts did
she buy? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 3 fancy donuts
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109
A bag contains 3 purple, 4 green, 4 blue, and 4
white marbles. What is the probability of taking
a marble that is not purple out of the bag?
Write to help explain your best thinking using
words, numbers, or pictures.
Answer 12/15 or 4/5
110
In three bowling games, Alice scores 139, 143,
and 144. What score will Alice need in a fourth
game in order to have an average score of 145 for
all four games? Write to help explain your best
thinking using words, numbers, or pictures.
Answer score of 154
111
Tanya and Jane were going to a musical show at
the county fair. First they could go through 8
different gates to get into the fair. Once inside
there were 6 ticket booths. Past the ticket
booths were 4 different paths to the musical
show. How many different ways could Tanya and
Jane get from outside the fair to the musical
show? Write to help explain your best thinking
using words, numbers, or pictures.
Answer 192 different ways
112
When Merilee goes to the building where her
mother works, she can go through 3 different
doors into the lobby. Then she can go to the 7th
floor by taking 3 different elevators or 2
different stairways. How many different ways can
Merilee get from outside the building to her
mother's office on the 7th floor? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 15 different ways
113
Joe is typing up a list of 2-digit numbers, but
he has a problem. He is using a very old
typewriter and a lot of the keys are stuck. The
only numerals that will type are 1, 4, 6, and 8.
How many different 2-digit numbers could he make
with these numerals? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 16 different 2-digit numbers
114
Mary, Anna, Sonia, Rita, and Paula were at summer
camp. One day they decided to exchange T-shirts
for the next 5 days. Together they had a brown, a
white, a yellow, a pink, and a red T-shirt. They
decided that no girl could wear a T-shirt more
than one day, so they would have to exchange
shirts each day. How could they arrange the
shirts for the next 5 days? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer B-W-Y-P-R R-Y-B-W-P W-R-P-Y-B
P-B-W-R-Y Y-P-R-B-W
115
On Saturday Megan liked to go to Sandwich Heaven.
Megan could choose the bread, filling, and
topping for her sandwich. She could choose
between wheat, rye, or white bread. She could
have chicken salad, turkey, or ham for the
filling. She could also have lettuce, tomato, or
sprouts on top. How many different sandwiches
could Megan order? Write to help explain your
best thinking using words, numbers, or pictures.
Answer 27 different sandwiches
116
Rod and Lucas were painting scenery for the
school play. They had to decide what color to
paint the house, the car, and some flowers. For
the house they could choose between blue and
green. For the car they could pick silver, black,
or brown. For the flowers they could choose red,
pink, or yellow. How many different combinations
of colors could they choose? Write to help
explain your best thinking using words, numbers,
or pictures.
Answer 18 different combinations
117
For dessert you can choose apple, cherry,
blueberry, or peach pie to eat, and milk or juice
to drink. How many different combinations can you
choose from? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 8 different combinations
118
Meg has a choice of 3 blouses, 4 skirts, and 2
pairs of shoes as she plans her outfit for a
school dance. How many different outfits are
possible? Write to help explain your best
thinking using words, numbers, or pictures.
Answer 24 outfits
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119
Oozy Pond is filled with crayfish and mud turtles
who are there for an egg-laying contest. Betsy
Beaver says she doesn't know how many crayfish
and turtles there are, but she counted 76 legs in
all. Each crayfish has 10 legs, and each turtle
has 4 legs. How many crayfish and how many
turtles could there be in Oozy Pond? Write to
help explain your best thinking using words,
numbers, or pictures.
Strategy Guess, check and revise Answer 6
crayfish 4 turtles 6 crayfish 9 turtles 2
crayfish 14 turtles
120
Monica and Marty are llamas at the petting zoo.
They like to count their visitors, and the number
of people who pet them. After visiting hours on
Sunday Monica reported that 105 people in all had
petted both of them. She bragged that 2 1/2
times as many people petted her as petted Marty.
How many people petted Monica and how many petted
Marty? Write to help explain your best thinking
using words, numbers, or pictures.
Strategy Guess, check and revise Answer Monica
75 Marty 30
121
The gremlins' garden has special tomato plants
and pumpkin vines. Every tomato plant has 5
tomatoes on it and every pumpkin vine has 4
pumpkins on it. If the gremlins have a total of
253 tomatoes and pumpkins in their garden, how
many tomato plants and how many pumpkin vines do
they have? Write to help explain your best
thinking using words, numbers, or pictures.
Strategy Guess, check and revise Answer 45
tomato plants, 7 pumpkin vines
122
I am thinking of a number. Multiply the number by
2. Then add 11. The answer is 39. What is the
number? Write to help explain your best thinking
using words, numbers, or pictures.
Strategy Guess, check and revise Answer 14
123
Zork is looking for friends to play spaceball.
His friends all live in his galaxy. Zork leaves
his planet and flies 5 planets west to get Zeek.
Zeek lives on the first planet in the galaxy.
Then Zork flies east 8 planets to get Zook. From
here he flies west 6 planets to find Zurk. Then
he flies east 9 planets for Zack. Zack lives on
the last planet in the galaxy. How many planets
are in Zork's galaxy? Write to help explain your
best thinking using words, numbers, or pictures.
Strategy Draw a picture Answer 12
124
The animals were having a meeting at the Big Oak.
Roger gave Rachel Raccoon directions to the Big
Oak from the tallest redwood tree. "Stand to the
left of the redwood tree. Go ahead 6 trees, turn
right and go ahead 9 trees and then turn left. Go
straight until you see the eagle's nest, which is
in the 12th tree ahead on your left. Turn left
there and look for the mark a hunter made on the
tree, 4 trees ahead on your left. Look to your
right and you'll be at the Big Oak." Can you make
a map to show how Rachel got to the Big Oak?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Draw a picture Answer (map)
125
Hugo the Horrible lived in a castle with a moat
around it. Anyone who had to see him could enter
the castle yard over 3 different drawbridges.
From the castle yard they could enter the castle
through 4 different gates. Finally, they could go
into Hugo's throne room through 3 different
doors. How many different ways could some poor
unfortunate person take from outside the moat to
Hugo's throne room? Write to help explain your
best thinking using words, numbers, or pictures.
Strategy Draw a picture Answer 36
126
Your mother asked you to cut a 20 foot long log
into 10 equal lengths for the fireplace. How long
will it take you if each cut takes 3 minutes?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Draw a picture Answer 27 minutes
127
Two hunters came to a river. They met three
youngsters who had a small boat. The boat could
hold two youngsters or one adult. How did all
five persons get across the river? How many trips
will be necessary? Write to help explain your
best thinking using words, numbers, or pictures.
Strategy Draw a picture
128
Dana's mother was telling her where to find
things in the six sections of aisle E at the
supermarket. Her mother said that the orange
juice and pizza were at opposite ends of the same
side of the aisle. She said the fish was across
from the pizza and next to the French fries. She
said the vegetables were not on the same side as
the pizza. Where did Dana find the pizza, French
fries, ice cream, orange juice, fish, and
vegetables on aisle E? Write to help explain
your best thinking using words, numbers, or
pictures.
Strategy Act out the problem or use objects
Answer (orange juice-ice cream-pizza)/(vegetables
-French fries-fish)
129
Ingrid and Kirsten are making the art room very
colorful. They are painting one wall with squares
of red, green, blue, and yellow. They divided the
wall into 4 columns with 4 rows. Before painting
they marked each square with an R, G, B, or Y.
They didn't want any color to be repeated in the
same row or in the same column. How did Ingrid
and Kirsten arrange the colors in the squares on
the wall? Write to help explain your best
thinking using words, numbers, or pictures.
Strategy Act out the problem or use objects
Answer (sketch)
130
Ashley is a spy and she knows she is being
watched. This week she has to meet with 5 spies
A, B, C, D, and E. She has to meet with each spy
for one hour every day and she wants to make sure
that she doesn't meet with the same spy at the
same hour on any other day of the week. She will
meet with them between 900 and 200. What is one
way Ashley could meet with the spies this week?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Act out the problem or use objects
131
Dr. Feather is trying to find out how many birds
are feeding in the marsh. The first week he
counts 5 long-necked farlings and 5 short-beaked
fuzzlings. The next week he counts 10 farlings
and 6 fuzzlings. In the third week he counts 14
farlings and 8 fuzzlings. In the fourth week he
sees 19 farlings and 11 fuzzlings. At the end of
the fifth week he counts 23 farlings and 15
fuzzlings. When did Dr. Feather count the same
number of farlings and fuzzlings again, if the
birds continue coming at the same rate? Write to
help explain your best thinking using words,
numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 9
132
Guests at the Shadow Inn have reported seeing
ghosts in room F and in S, the attic room. In
January, 7 people reported seeing a ghost in room
F and 7 people reported seeing a ghost in room S.
In February, there were 12 reports for room F and
9 reports for room S. In March, 11 people
reported a ghost in room F and 12 reported a
ghost in room S. In April, there were 16 reports
for room F and 14 for room S. And in May they had
15 reports for room F and 17 for room S. If the
reports continued at this same rate, what would
be the next month that they would have the same
number of ghosts reported for room F and room S?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer August
133
At the Halloween Carnival Tora is throwing balls
at witches and ghosts. She gets 5 points for
every witch she hits and she gets 8 points for
every ghost. She can win a black cat by getting
100 points. Tora has hit 13 witches and ghosts
altogether and she has 80 points. How many ghosts
and how many witches did she hit? Write to help
explain your best thinking using words, numbers,
or pictures.
Strategy Make a table, chart, or organized list
Answer 8 witches 5 ghosts
134
"Warty Toads and Smooth Frogs. I will pay 3 cents
for each toad, and 5 cents for each frog."
claimed Professor Q in a news ad. Bert and Bruno
saw the professor's ad, so they brought a sack of
10 toads and frogs to her. The professor looked
at the animals and then gave the boys 38 cents.
How many of the animals were toads and how many
were frogs? Write to help explain your best
thinking using words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 6 toads - 4 frogs
135
The guards of Clock Castle open the two gates at
the same time every hour to let visitors go into
the castle. The guards keep track of how many
people they let in through their gates. This is
what they wrote today (King-Queen Gates) -- 8 am
(1-1), 9 am (5-4), 10 am (9-9), 11 am (13-12),
1200 (17-17). The guards kept letting visitors
go into the castle in the same ways all day. How
many visitors went through Queen's Gate at the
time that 33 visitors went through King's Gate?
Write to help explain your best thinking using
words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 33
136
Ellen is 10 years old now and Cheryl is 15. A few
years ago, when Cheryl was twice as old as Ellen,
Cheryl taught Ellen how to swim. How old was
Ellen when she learned to swim? Write to help
explain your best thinking using words, numbers,
or pictures.
Strategy Make a table, chart, or organized list
Answer 5 years old
137
Ariel rides the Starlight Express from Misty
Station to her home. The Starlight Express zooms
past 100 stars an hour. Ariel will not tell us
how far her home is from Misty Station, but she
did give us these clues I ride past more than
39 stars. I ride past fewer than 48 stars. I
ride past an odd number of stars. One part of
the number tells how many letters there are in my
name. How many stars does Ariel pass on her way
home? Write to help explain your best thinking
using words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 45
138
Julio is mailing a small package to Tony, who
lives in another city. Julio has to put 18 cents
worth of stamps on the package. Julio has 1O cent
stamps, 4 cent stamps, and 2 cent stamps that he
can use. How many different groups of stamps
could Julio use on his package? Write to help
explain your best thinking using words, numbers,
or pictures.
Strategy Make a table, chart, or organized list
Answer 8
139
One summer Osha kept a record of how many
kilometers she rode on her skateboard. She won't
tell what the number is but she will give you
these clues It is less than 100. It is more
than 44. If you count by 4s, you say the
number's name. The number can be divided evenly
by 5 and 8. How many kilometers did Osha go on
her skateboard? Write to help explain your best
thinking using words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 80
140
In the movie "The Secret Step" the heroine,
Pauline, is at the bottom of a pyramid. She has a
note that tells her to climb the pyramid,
carefully counting the steps. When she has
climbed a special number of steps, she should
look for a loose stone. Behind the stone is the
treasure map. The note gives Pauline clues about
the special number of steps she should climb up
There are more than 125. There are fewer than
180. If you count by 5s, you say the number's
name. The number can be divided evenly by 4 and
8. How many steps did Pauline climb up? Write to
help explain your best thinking using words,
numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 160
141
"We're hungry!" yelled Martina's sister and
brothers. "Where are the pancakes?" Martina
didn't pay any attention. She was trying to
figure out how to measure out 24 ounces of milk.
She had 3 different cans, marked 12 ounces, 6
ounces, and 4 ounces. Each can had just one
number marked on it. How many different ways
could Martina measure 24 ounces of milk? Write
to help explain your best thinking using words,
numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 6
142
Allen was at a neighborhood garage sale. He was
standing at a table with all sorts of comic books
divided into 3 piles. One pile was marked 10
cents, the second 5 cents, and the third 1 cent.
Allen had 26 cents. How many different
combinations of comic books could Allen buy for
26 cents? Write to help explain your best
thinking using words, numbers, or pictures.
Strategy Make a table, chart, or organized list
Answer 12
143
You have a penny, a nickel, a dime, and a
quarter. What amounts can you make if you use
1,2,3, or 4 of the coins? Write to help explain
your best thinking using words, numbers, or
pictures.
Strategy Make a table, chart, or organized list
144
"The Monsters of Muzz" opened on Monday. The
first day there were 25 people who saw the movie.
Word got out and on the second day 17 more people
came than on the first day, so that 67 people had
seen the movie after the second day. On the third
day 59 people came, 17 more than on the second
day. If each day 17 more people saw the movie
than the day before, on what day would 500 people
have seen the movie? Write to help explain your
best thinking using words, numbers, or pictures.
Strategy Look for a pattern Answer 7
145
In Furland, the king of the Fuzzies was sad to
hear that there was an outbreak of flu. On the
first day 58 Fuzzies came down with the flu. On
the second day 68 Fuzzies got sick, and 60 got
sick on the third day. On the fourth day 70
Fuzzies got sick, and 62 new cases were reported
on the fifth day. If the Fuzzies kept getting the
flu at this same rate, how many Fuzzies would
come down with the flu on the 10th day? Write
to help explain your best thinking using words,
numbers, or pictures.
Strategy Look for a pattern Answer 76
146
Find answers for 1x81____, 12x82___,
123x83___, 1234x84___. Predict the answer for
123,456x86_____. Write to help explain your
best thinking using words, numbers, or pictures.
Strategy Look for a pattern
147
Trina, Avi, Luis, and Roxanne are trying to
decide whether to go see "Trolls From Outer
Space, The Lost Pelican," "The Yellow Ghost," or
"Singing In The Snow." Luis loves to read books
on science fiction. Trina likes singing and
dancing in the school plays, and Roxanne hates
scary programs on television. Which movie do you
think each one of them would choose? Write to
help explain your best thinking using words,
numbers, or pictures.
Strategy Use logical reasoning Answer
Luis-"Trolls From Outer Space," Trina-"Singing in
the Snow," Ai-"The Yellow Ghost," Roxanne-"The
Lost Pelican"
148
There are cans and bottles of Lemon Lite at the
store. 2 cans and one bottle of Lemon Lite weigh
the same as 5 cans of Lemon Lite. If a can of
Lemon Lite weighs 12 ounces, then what does a
bottle of Lemon Lite weigh? Write to help
explain your best thinking using words, numbers,
or pictures.
Strategy Use logical reasoning Answer 36 oz
149
Larry, Curly, and Moe left the theater together.
Each one was wearing the jacket and the shoes of
someone else. Curly was wearing Moe's jacket and
Larry's shoes. Whose jacket and whose shoes was
each one wearing? Write to help explain your
best thinking using words, numbers, or pictures.

Strategy Use logical reasoning
150
North Park was filled with people one Saturday.
There were one third as many people skateboarding
as there were biking. There were twice as many
people biking as there were skating. There were
one fourth as many people skating as there were
playing softball. North Park was a popular place
for softball. There were 60 people playing
softball. How many people were skateboarding,
biking, and skating? Write to help explain your
best thinking using words, numbers, or pictures.
Strategy Work backward Answer 4 lbs
151
Slowly Katie peeked around the door. The huge
monster wiped its mouth, smiled, went to sleep,
and started to snore. Katie had been watching
while the monster ate the cakes in the bakery.
The first hour it ate 21 of all the cakes in the
bakery the second hour it ate 21 of all the
cakes left the third hour it ate 21 of what was
left and the fourth hour it ate 21 the cakes
left again. Now there are 3 cakes left. How many
cakes did the monster eat? Write to help explain
your best thinking using words, numbers, or
pictures.
Strategy Work backward Answer 40
152
Six lords came to live in the city of Gimiro. The
first lord built himself a tower. The second lord
built a tower that was 6 feet higher than the
first lord's tower. The third lord built a tower
6 feet taller than the second lord's tower. Each
lord built a tower 6 feet taller than the tower
built by the lord before him. The sixth lord's
tower was 40 feet hi