Jasmine wants to rent a bike while she is on vacation. The rental fee is $8.00 plus an additional $2.50 for
every hour the bike is rented.
Construct a table to show the total cost of renting a bike for 1, 2, 3, 4, and 5 hours. Then, write an
expression that Jasmine can use to find the total cost of renting a bike for any number of hours.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
Seven blocks are arranged below.
Draw this figure from three different perspectives: from the front, from the top, and from the right side.
Label each drawing.
Now draw the bottom view of this figure and compare it to the top view.
(4 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
The number of flowers on each of 8 bushes is shown in the table.
Find the mean number of flowers per bush and explain how the mean would change if the bush with 38
flowers is not included. Use mathematics to support your explanation.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
Estimate the amount of water Brian has in the beaker, to the nearest 50 mL. Explain your reasoning for
your estimate.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
During a sale, the price of all televisions in a store is being reduced by 20%. Abe is interested in a
television with an original cost of $575.
Two weeks later, the sale price of this television is reduced by an additional 5%. Abe thinks he can now
get the television for 25% off the original price.
Describe how the sale price with the additional 5% reduction is different than a single reduction of 25%.
Use mathematics to justify your answer.
(4 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
Caleb drew two congruent triangles as shown.
Jan asks Caleb to prove that the triangles are congruent.
Explain how Caleb can prove to Jan that triangle ABC is congruent to triangle XYZ.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
The table shows the number of games won by each of the five teams in the Women’s National
Basketball Association during the 2002 and 2003 seasons.
Create a double-bar graph to display these data. Be sure to title and label your graph appropriately and
include a key.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
After exercising, two students checked their pulses to see how fast their hearts were beating. Marit’s
heart beat 13 times in 10 seconds. Coleman’s heart beat 18 times in 15 seconds.
State a unit that can be used to compare the students’ heart rates. Identify which student has the faster
heart rate. Show work to support your comparison.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
Abby and Brittany are playing a board game. They determine how many spaces to move by spinning
two spinners and adding together the numbers on which the spinners land.
Each player has only one more turn. Abby needs to move exactly 6 spaces to win, and Brittany needs to
move exactly 8 spaces to win.
Determine which girl has the greater probability of winning. Justify your answer by finding the
probability for each girl.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
Carson wanted to make a cylindrical pillow for his mother’s birthday. The pillow was to be 15 inches
long, with a diameter of 6 inches and would be filled with stuffing.
Determine how many cubic inches of stuffing Carson will need to make the pillow. Show your work.
Before he started making the pillow, Carson decided he wanted to make it bigger.
Compare the amount of stuffing needed when he doubles the length to the amount of stuffing needed
when he doubles the diameter. Show work or provide an explanation to support your comparison.
(4 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
An Olympic-size pool is shown.
Troy is building a pool that is proportional to the Olympic-size pool. The width of his pool will be 625
centimeters.
Find the scale factor Troy will use to build his pool.
Then show or explain how you found the scale factor. Use the scale factor to find the length of Troy’s
pool. Show or explain how you found the length.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
Two circles are shown.
Find the ratio of the circumference of Circle A to the circumference of Circle B. Show your work or
provide an explanation to support your answer.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
After a game, Coach Larson wants to serve punch to the players on her soccer team. She will mix 1
quart of ginger ale and 1 gallon of fruit punch together.
Find the number of 8-ounce servings she can make. Show how you found the answer.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
A spinner and a number cube are used to play a game.
The sides of the cube are numbered 1 through 6. A player’s score is the sum of the numbers on which
the spinner lands and the number rolled on the cube.
Find probability of getting a sum greater than 25. Show your work or provide an explanation to support
your answer.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
A drawing for a house uses the scale of ¼ inch = 1 foot.
The dimensions of a kitchen on the drawing are 2 inches by 4 inches.
Determine the actual dimensions of the kitchen. Show or describe how you found the length and width.
Label your answer with appropriate units.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
Sal is hosting a party for 50 people. He will have people sit at a long line of tables. Each table can seat 4
people, plus one person can sit at each end of the line of tables, as shown.
Use this formula to find the number of tables he will need to seat 50 people. Show all steps you use to
find the answer.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
John has a $100 budget to buy sandwich meat and cheese for a picnic. His shopping list and the prices
at the deli are shown in the table. There is no tax on these food products.
Determine how many pounds of salami John can buy after he purchases the turkey, roast beef and
cheese that he needs. Be sure that John stays within his budget. Show or describe all the steps you use
to find the number of pounds he can buy.
When John gets to the deli he finds that the cheese is on sale for $2.50 per pound. Write how you can
determine how many additional pounds of salami John can now purchase and still stay within his
budget.
(4 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
A company needs to create a box shaped like a rectangular prism. The volume must be 216 cubic
inches, but the surface area needs to be as small as possible. One possible box is shown.
Sketch or describe a different box that has the same volume as Box A, and a surface area less than that
of box A. Show work or provide an explanation to verify that the new box meets the criteria.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
A cone with a height of 7 inches and a base with a diameter of 3 inches is standing on its base. A
cylinder with a height of 7 inches and a base with a diameter of 3 inches is also standing on its base next
to the cone.
Draw a sketch of the cone and the cylinder. Label the dimensions.
Describe how the cone and the cylinder will look when each object is viewed from the top. Draw and
label sketches of this top-view perspective.
Now describe how the cone and the cylinder will look when each object is viewed from the front. Draw
and label sketches of this front-view perspective.
(4 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
Below are the total points scored by two players for six games.
The players are each allowed to drop their lowest score before their averages are calculated.
Explain which player would benefit the most by dropping their lowest score.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org
Alberto subtracts different negative integers from 13.
Show three different examples of what Alberto does. Explain what happens when you subtract negative
integers from 13.
(2 points)
Compiled by Leah Fullenkamp
http://technology.wgschools.org