Transcript 5th Grade WASL Warm Up Questions

5th Grade Warm Up
Questions
Number Sense
Geometry
Algebraic Thinking
Logic
Probability and Statistics
Strategy
Measurement
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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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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.
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
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
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
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
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
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: Amy=90 minutes; George=30 minutes
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Mr. Lee, a physical education teacher, bought 4 soccer
balls and 5 baseballs for the school. The total cost
was$60. 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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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
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
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
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
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
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
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
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
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
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 Tshirts 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
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
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
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
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
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.
Answer: 144 rectangles
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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
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
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
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
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
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
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
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
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
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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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
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
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
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
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
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
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
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
A road sign reads "Clarkvill~126 miles North" and
"Smithtown~84 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
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
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
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
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
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¢)
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
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
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
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
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
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
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
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
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
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
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
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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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
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
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
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
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
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
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
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
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
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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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
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
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
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
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
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)
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
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
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
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)
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)
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 9:00
and 2:00. 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
Dr. Feather is trying to find out how many birds are
feeding in the marsh. The first week he counts 5 longnecked 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
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
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
"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
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), 12:00 (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
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
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
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
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
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
"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
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
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
"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
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
Find answers for 1x8+1=____, 12x8+2=___,
123x8+3=___, 1234x8+4=___. Predict the answer for
123,456x8+6=_____. Write to help explain your best
thinking using words, numbers, or pictures.
Strategy: Look for a pattern
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"
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
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
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
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
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 high. If the six towers
were piled on top of each other, how high would they
reach? Write to help explain your best thinking using
words, numbers, or pictures.
Strategy: Work backward Answer: 150
Priscilla Pig loves pink. Everything she has is pink. She
just built a brick wall and she is going to paint it pink.
The wall has 14 bricks across and is 11 bricks high. She
is going to paint each side of the bricks that are facing
out. How many sides will Priscilla have to paint? Write
to help explain your best thinking using words,
numbers, or pictures.
Strategy: Make it Simpler Answer: 344
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