5th Grade

1
5th Grade
2
Susan wrote a number in expanded form
1,000,000 90,000 500 2. Dan wrote a
number in expanded form 1,000,000 90,000
9,000 500 2. Who wrote the larger number?
Explain your process.
TAKS Objective 1 5.1A
3
Drew, Jeremy, and Adam each had a bag of 100
marbles. In Drews bag 0.35 of the marbles were
red. In Jeremys bag, 0.8 of the marbles were
red, and in Adams bag, 0.6 of the marbles were
red. Which boy had the most red marbles and how
many red marbles did he have? Explain your
process.
5.1B
4
5.2A
5
5.2B
6
5.2C
7
Ms. Stevens, the physical education teacher at
Spring Elementary, has roped off the rectangular
playground into five equal sections. One of the
sections will be used for soccer, one section
will be used for football, one of the sections
will be used for gymnastics, and one section will
be used for kickball. The other section will not
be used. What decimal number would represent the
section of the playground being used? Explain
your process.
5.2C
8
5.2C
9
James and Roberto were playing a game using the
spinner below. Each boy spun the spinner two
times and added to find the sum. Robertos two
numbers gave the sum nearest to 3,000. Which two
numbers did Roberto spin, if he did not spin the
same number twice? Explain your process.
5.3A
10
Jo Ann is building rectangular picture frames.
Each frame is 5.4 meters wide and 3.75 meters in
length. She needs to buy wood. If she can buy
the wood in only 1-meter lengths, about how many
pieces does she need to buy to build one picture
frame? Explain your process.
5.3A
11
On Saturday, the Corner Store sold 263 newspapers
and Stop and Go sold 351 newspapers. On Sunday,
the Corner Store will need 6 times as many
newspapers, and Stop and go will need 4 times as
many newspapers. How would John, the newspaper
delivery person, know how many more papers to
take to each store? How many more newspapers
will the Corner Store get than Stop and Go?
Explain your process.
5.3B
12
Louisa got 300 for her birthday. She wants to
buy some video games to take on vacation with
her. She went to the store on Saturday and
picked out 5 games costing a total of 210. Then
Louisa saw a bonus package of video games on sale
for 280. The bonus package contained 8 video
games. Which buy would be the cheaper cost per
video game, and how much cheaper per video game
would it be? Explain your process.
5.3C
13
Ms. Davis wants to save 515 to buy a new coffee
table for her living room. She plans to save 58
each month until she has enough to purchase the
coffee table. She thinks she will have enough
money in 8 months. Is 8 months the correct
number of months it will take Ms. Davis to save
the money? Explain your process.
5.3C
14
Clarissa and Shashi are working on their math
homework together. They need to find the prime
factors of 80. So far they have 2 x 2 x 2 x
____ x 5. Clarissa thinks the missing number is
2 or 3, but Shashi thinks the missing number is 4
or 5. Which of the girls is correct, and what
number do they need to complete the prime factors
of 80? Explain your process.
5.3D
15
5.3E
16
Use the clues below to fill in the missing
blanks _ _ _. _ _ 9 When rounded to the
hundreds place, I am 400. My tens place when
rounded is twice my hundreds. The sum of my
hundreds place and tens is equal to my ones
place. The difference between my tenths and
hundredths place is 5. I have the same number in
my thousandths place as in my tenths. The sum
of my digits is 38. Explain your process.
5.4A
17
The members of the track team charted their times
for their daily workouts. Sam jogged an average
of 193 meters per minute for 25 minutes each day.
If he ran exactly 25 minutes each day, about how
many meters would he jog in 3 days? in 8 days? in
14 days? Explain your process.
5.4A
18
Susan was keeping her science log at home to
record the exact height of her bean plant over 35
days. She had noticed that it grew about the
same height every 5 days, so she only recorded
the height every fifth day. On the way to
school, she spilled water on the record sheet.
Using the numbers she can still see, complete her
chart by rounding the exact measurements and
looking for a pattern. Explain your process.
5.4A
19
Miguel is training to ride in cycling contest
next month. He cycled 4.2 miles on Monday, 4.7
miles on Tuesday, and 1.8 miles on Wednesday.
Each day he received credit for the mile marker
that he was nearest to. How many credits did he
have by the end of the 3 days? Explain your
process.
5.4A
20
Dennis has 4 boards. They measure 0.63 meters,
0.38 meters, 0.24 meters, and 0.79 meters.
Dennis needs to mend part of the fence that is
approximately 1.8 meters in length. When rounded
to the nearest tenths, three of the boards will
have a sum of 1.8 meters. Which of the three
boards will Dennis need to use? Explain your
process.
5.4A
21
Joshua decided to create Mothers Day cards to
sell to students in his school. He used about
11.75 cm. of yarn on one card and 5.1 cm. of yarn
on one envelope. He can buy yarn in 1 m pieces.
If he made 12 cards, how many pieces of yarn
should he buy? Explain your process.
5.4B
22
For the fifth grade party, the PTO created a new
drink. They mixed 10.5 gallons of orange juice,
25.25 gallons of strawberry soda, and 12.75
gallons of gingerale. About how many one cup
servings will they get? Explain your process.
5.4B
23
While driving to the airport one weekend, the
Nguyen family ran out of gasoline. After pushing
the car to the station, Mr. Nguyen decided to put
in just enough to reach the airport and return to
the station. Their van gets 10 miles per gallon,
and they are 24 miles from the airport. How many
gallons of gas should he purchase? Explain your
process.
5.4B
24
Manuel and Bobby went to Hamburger Heaven for
lunch on Saturday. Manuel had 10.00. He looked
at the menu to see what he could buy.
How many combinations of 3 items could he buy if
one of the items was a hamburger, a drink, French
fries or onion rings? Explain your process.
TAKS Objective 2 5.5A
25
Ethan and Tosin decided to make bead bracelets
for Market Place which is held at their school
every year. They decided to use 4 different
color beads. They chose red, blue, yellow, and
green. If they used all of the colors of beads
in every bracelet, how many different
combinations could they offer for sale? Explain
your process.
5.5A
26
Javier collects baseball cards. For every 5
cards he buys, he gives his little brother,
Justin, 2 cards. If he continues to do this, how
many cards will he need to buy to have 30 cards
in his collection. How many cards will Justin
have when Javier has 30? Explain your process.
5.5B
27
John and Sarah were building shelves using
blocks. The 1st shelf was made with 1 block, the
2nd shelf with 3 blocks, and the 3rd shelf with
5 blocks. It took blocks 17 blocks to build the
9th shelf. What pattern can you find to predict
the number of blocks for the 53rd shelf? Explain
your process.
5.5B
28
Juanita was marching with the drum and bugle band
in the Fourth of July parade. They marched in
square formations. The first square was made of
1 member, the second 4 members, the third 9
members, and the fourth 16 members. If they had
seven squares, how many members in the drum and
bugle band? Explain your process.
5.5B
29
Shelby and Jacovie were exploring prime and
composite numbers. Jacovie made the statement
that all prime numbers are odd and all composite
numbers are even. Is he correct? Explain your
process.
5.6A
30
Angelica has invited her new friend, Hue, to her
house for dinner. Angelica gives Hue a map.
Hue notices that tree streets run north and
south. She sees that Pine intersects Alabama at
a right angle and that Alabama is perpendicular
to Oak. Angelica says she lives on Maple which
is located east of Oak and west of Pine and
intersects Alabama. Delaware intersects Oak and
is parallel to Alabama. Delaware is south of
Alabama. Angelicas home is located at the
intersection of Maple and Delaware. Show the
location of each street and Angelicas home.
Explain your process.
TAKS Objective 3 5.7A
31
The bilingual teacher wanted her students who
just arrived in Texas to learn color words in
English. He wrote these words in capital letters
on the board
He said, I am thinking of a color. At least one
of the letters has a perpendicular line. At
least two of the letters have parallel lines.
More than one of the letters has both parallel
and perpendicular lines. Two of the letters each
have 2 pairs of parallel lines. My letters are
line segments. What is the color? Explain your
process.
BLACK BLUE BROWN GREEN MAIZE ORANGE
RED TAWNY TEAL VIOLET WHITE
YELLOW
5.7A
32
Ashley, Eddy, George and Mandy each have
different triangles. George and Eddy each have a
90-degree angle in their triangles. Neither
George nor Mandys figure has any congruent
sides. One of Mandys angles measures greater
than 90 degrees. Each side of Ashleys figure
and Eddys congruent sides are six inches long.
Name each persons triangle as classified by his
or her angle and length measure. Explain your
process.
5.7B
33
Julius folded a square sheet of paper in half.
After Julius had cut along the fold, he told
Cesar that the perimeter of each of the
rectangles formed was 21 inches. Julius
challenged Cesar to find the area of Julius
original sheet of paper. Help Cesar. Explain
your process.
5.7B
34
The miniature pool table and the computer desk in
your room need to be moved. The pool table is
located at (2,3), (8,3), (2,1) and (8,1). Your
computer desk is located at (8,9), (10,9), (8,6)
and (10,6). Youve given your dad directions to
move the pool table so that the NW corner (2,3)
will become the SW corner (2,3) and the NE corner
(8,3) will become the NW corner (2,9). The
desks SW corner (8,6) will be at (8,4) and the
NW corner will be at (8,7) when it is moved to
its new location. Describe the type of move made
for the pool table and the desk. Name their new
locations. Explain your process.
5.8A
35
The road signs below needed to be repainted and
then returned to their poles. The painter took
down the signs, repainted them, and then put them
back on the poles.
Unfortunately, he had turned all of the pictures
by rotating them 90 degrees counter clockwise
when he put them back on the poles. What do the
road signs look like now? Explain your process.
5.8A
36
You and your mom have decided to make a special
quilt for Aunt Lisa. The size of the quilt will
be 4 ft by 6 ft. The size of each panel will be
1ft by 1ft. Your mom has made this pattern to
cut the fabric that will be sewn on each panel of
the quilt
Your mom then placed the panel below in the
second row, third column of the quilt.
Oh, Mom! It will be a boring quilt if you just
put an L in each square! What if we reflect
each L? Then it will be a beautiful quilt for
Aunt Lisa! You cut several paper Ls and begin
placing them on the panels around the L your
mom put on the quilt, making sure youve
transformed each panel by only reflecting the
L. Show what the quilt will look like when it
is finished. Explain your process.
5.8A
37
Below are three posters of geometric shapes that
are stapled to the wall in the math lab.
The custodians removed the posters when they were
repainting the walls. After painting the walls,
they tacked the posters to the wall again. This
is what they looked like.
Describe which transformation occurred when the
custodians replaced each picture. Name each
shape according to its attributes. Explain your
process.
5.8B
38
Mrs. Scott asked Eric to make a symmetrical shape
on grid paper and then to sketch the ways he
could show a translation, reflection, and
rotation of the shape. Demonstrate how you would
show each transformation and explain your process.
5.8B
39
Bob made a pentomino shaped like the letter L
using 5 color tiles. He used this shape to show
a translation, reflection, and a rotation. Using
the color tiles, make this pentomino and show a
translation, reflection, and rotation. Sketch
your results and explain your process.
5.8B
40
Mr. Espinoza has hired you as ranch manager.
Your job is to move his herds to their new
grazing areas. He realized he had forgot to
bring the coordinate map of his ranch, but he
remembered where the animals are located. He
writes the following data on a scrap sheet of
paper and gives it to you.
Mr. Espinoza informs you he wants each herd to be
moved 4 miles east and 2 miles north from their
original grazing areas. What are their new
locations and how will you prove to Mr. Espinoza
that youve moved all the animals to their new
locations? Explain your process.
5.9
41
Gina and Tom are playing battleship. Ginas
ships are located at the following coordinates
(3,6) (0,4) (1,3) and (6,4). Locate where each
ship is on the grid and explain your process you
used to find each coordinate
5.9
42
John has several stops to make after leaving
home. First, he will go to the library (2,1) to
turn in books. Then he will go by Blockbuster
Video (3,3) to turn in a DVD. He will stop by
the park (5,6) to see if his friends are there.
Finally, he will go to Baskin-Robbins (1,5) to
get an ice cream cone. Plot and label these
places on a grid. Explain your process.
5.9
43
The fifth grade students are helping put away
math manipulatives by building boxes for the
centimeter cubes. If the boxes are 6 centimeters
long, 4 centimeters tall and 5 centimeters deep,
how many boxes will be needed to hold the 2,075
cubes that they have? Explain your process.
TAKS Objective 4 5.10A
44
The students are constructing towers to stand up
on their desks out of 8-inch by 12-inch
construction paper. Sue folds her paper in
fourths vertically to make a tower, and Julie
folds hers horizontally in fourths for a tower.
Which tower will have the largest volume?
Explain your process.
5.10A
45
For a Mother's Day project, Sue's class of 27 was
planting flowers using their milk cartons from
lunch. They unfolded the top of one carton and
filled it 5 centimeters from the top with dirt.
How many cubic centimeters of dirt do they need
for the class? Explain your process.
5.10A
46
Lucy works in the school store. The school store
sells notepads that measure 8 centimeters long by
5 centimeters wide by 2 centimeters tall. She
needs to know how many notepads will fit in a box
on the shelf that measures 17 centimeters long by
10 centimeters wide by 4 centimeters tall.
Explain your process.
5.10B
47
Allen plans to put tile down in his 10 foot by 12
foot bathroom floor. He will use 12-inch square
tiles in a red and white pattern. He wants to
use an equal number of red and white squares.
The tiles come only in boxes of 12. How many
boxes of tiles does he need of each color to do
his floor? Explain your process.
5.11A
48
James was building a stage for the choir. His
blue prints use a scale of 1 inch 2 feet. The
drawings show his stage to be 6 inches wide and
12 inches deep. He predicted the actual area of
the stage would be less than 300 square feet.
Find the area and explain your process.
5.11A
49
Kelly read every day for three weeks in January,
every day for two weeks in February, and 12 days
in March. If she read 30 minutes each day, how
many hours and minutes did Kelly read? Explain
your process.
5.11A
50
Rebecca is allowed to wear shorts once the
temperature has been above 80 degrees for three
consecutive days. In the month of March the
temperature increased 4 degrees on all even
numbered days and decreased by 2 degrees on odd
numbered days. If the temperature on March 1st
was 68 degrees, when was Rebecca allowed to wear
shorts? Explain your process.
5.11A
51
Jill was making a rectangular picture frame for a
5-inch by 7-inch picture. She wants to add a
ribbon border. She has 1 foot of red ribbon, 3
feet of blue ribbon, 4 feet of pink ribbon, and 5
feet of green ribbon. Which color would be the
most efficient for her to use and how much would
she have left over? Explain your process.
5.11A
52
Your grandmother has offered to pay you to expand
the miniature vegetable garden in her back yard.
She will pay you 5 for each square foot of the
newly completed plots. She wants the lengths of
each side of the vegetable plots to be doubled,
but the SW corner of each plot has to stay in the
same spot. She gives you the present locations
of the vegetable plots
Carrots (6,1), (7,1), (6,4), (7,4) Corn
(10,2), (12,2), (10,4) (12,4) Green beans
(0,4), (2,4), (0,7), (2,7) Lettuce (1,0),
(2,0), (1,1), (2,1) Tomatoes (7,9), (11,9),
(7,10), (11,10) You accept her offer and start
digging!
Name the coordinates for each expanded vegetable
plot and prove to your grandmother that she owes
you 360 for your hard work! Explain your
process.
5.11A
53
Bertha folded a rectangular sheet of paper in
half length-wise and width-wise. When Bertha cut
along the folds, she told Jamie each of the four
new rectangles has a perimeter of 18 units. Each
new rectangle has an area of 18 square units.
Bertha told Jaime the perimeter of the original
rectangle is one-half the number of the area of
the original rectangle. Show how Jaime proved to
Bertha he knew the length and width of Berthas
original rectangle. Explain your process.
5.11A
54
For her birthday, Rebecca received a pool that
holds three feet of water for her birthday. If
the pool fills at the rate of 4 inches every 15
minutes, and Rebecca starts the water at 1000
a.m., at what time will the pool reach its
three-foot level? Explain your process.
5.11B
55
Durell asked Thi and Binh if they wanted to race
their dogs against his dog, Max, the wonder dog.
This dog, Jenny Mae, is small and fast. Binhs
dog Rex has long legs. Therefore, each child
felt her or his dog would win the races. The
following chart shows the results of the 10
races, and the x shows the winner of each race
What is the probability of each dog winning the
50th race? Explain your process.
TAKS Objective 5 5.12B
56
Mrs. Johnson took a survey of her class and found
that 2 out of 5 of her students had a pet. Out
of 35 students how many had pets? Explain your
process.
5.12B
57
Mrs. Bajoive put 10 color tiles in a sack. She
told Dion the sack contained yellow, blue, green,
and red tiles. He wanted to know how many of
each color were in the sack. He drew out a tile,
recorded the color and put it back in the sack.
After 10 draws these were his results
Based on his results, what fraction do you think
would show the results for each color after 20
draws? Explain your process.
5.12A/B
58
Mary wanted to go into the lemonade stand
business. Her mother said that she could conduct
her business for four months. Mary decided that
she needed to know the months that had the
highest temperature. She thought when the
temperature was hottest, then people would drink
more lemonade and she would sell the most. She
called the weather station and found out the
following data for the last year.
Graph the data. What would be the best four
months to sell lemonade? Explain your process.
5.13A
59
Martine wanted to know the middle (median) number
of the amount of rainfall and the spread (range)
of rainfall for Houston over a year. He decided
to call the weather service to get the data he
needed. They gave him the following data for the
year 2001
Graph the data. Describe the middle (median)
number of rainfall and spread (range) of the
graph. Explain your process.
5.13B
60
Robertos dad gave him a choice of how to be paid
his allowance for the next week. He can receive
10 cents a day, or he can be paid 1 cent for the
first day and double the amount each day. Which
way will be most profitable for Roberto after 1
week? Prove your answer by creating a T chart,
graphing the results, and explain your process.
5.13C
61
Mrs. Jones fifth grade class is going on a filed
trip with the other fifth grade classes. Three
buses are needed to take all the fifth grade
students. There are 28 students in Mrs. Jones
class. One half of her class will ride on bus
number 43 and 3 of her students will ride on bus
number 201. How many students will ride with
Mrs. Jones on the third bus? Explain your
process.
TAKS Objective 6 5.14A
62
Mr. Hernandezs science class needed 6
caterpillars for a science project on
metamorphosis. The caterpillars cost 2.00 each
and the caterpillar containers cost 3.00 each.
Mr. Hernandezs science class raises the money to
buy the materials by selling book covers. If
they sold seven book covers and each book cover
cost five dollars, did they raise enough money to
purchase the science materials? Explain your
process.
5.14B
63
Bobby wants to buy a 75-cent snack at the school
back sale. He has 7 nickels, 5 dimes, and 2
quarters. What are the fewest number of coins
Bobby could use to pay for his snack? Explain
your process.
5.14C
64
A group of 5th grade students are participating
in a service project for their community
assistance center. They will be designing the
shape of a storage room for the food pantry. If
the area of the storage room must be 60 square
feet, use color tiles to design 2 possible floor
designs and record your answers. Explain your
process.
5.14D
65
Drews class conducted an experiment to find out
how quickly water-cooled after ice was added to
the cup of water. He recorded his observations
in the following graph.
Celsius Degrees
Time in Minutes
When did the largest difference in temperature
occur? Explain your process.
5.15A
66
Rays third grade brother, Doug, was studying
geometry. Dougs teacher had used pattern blocks
to demonstrate the following three
transformations.
Doug said his teacher called these, flips, turns,
and slides. Ray told Doug he could use one
correct geometric vocabulary word for all three
transformations. What word did Ray tell Doug to
use to explain the movement of the pattern block?
Explain your process.
5.15B
67
During math class, Katherine took some letters
from the alphabet and split them into two groups.
In one group, she wrote the letters E T F L H
and in another group she wrote the letters A N V
K Z. Enrique thinks the letter X will go in
the first group. Is Enrique correct? Explain
your process.
5.16A
68
At Wades Wheel Tire Store, they make wheels
and tires for all forms of transportation. They
produce 124 wheels for skateboards every hour.
They produce enough wheels for 56 bicycles every
hour. They also make 96 wheels every hour for
tricycles, which require three wheels each. On
Wednesday, a customer called and needed 108
bicycle wheels and enough wheels for 34
tricycles. Is it possible for Wades Wheel
Tire Store to have the customers order completed
in an hour? Explain your process.
5.16B