March 24, 2015
Answer questions 1-35 on your Scantron. Questions 1-30 will be scored for the Power
Bowl event. In the event of a tie, questions 31-35 will be used as the tiebreaker.
1.
David is making his own strawberry yogurt. In David’s mixture, the number of strawberries is
proportional to the amount of milk, in cups. David uses 4 cups of milk for every 14 strawberries
in his mixture.
Which equation represents the relationship between 𝑠, the number of strawberries, and m, the
number of cups of milk he uses?
1
a. s = 10 m
2.
The median of
a. 1
4.
2
m c. s =
2 5
m
!
d. s = !m
2
e. s = 7 m
Which of the following numbers is farthest from the number 1 on the number line?
a. −59/10
3.
7 b. s =
b. −5
c. −49/11
! ! ! ! ! !
,
!
b.
,
!
,
,
! ! and
! !!"
!"#
!
d. 5
e. 60/8
is c.
!
!"
d.
!"
!"
e.
!"
!"
What is the square root of 6 ∙ 10 ∙ 15? a. 30
b. 300
c. 450
d. 500
e. 900
7th Grade Power Bowl
Page 1
5.
Randy wants to use the map shown to get from his house, H, to his campsite, X. He knows it is
around 40 miles, but wants to measure it more precisely.
Which scale does the map most likely show? a. one inch = 0.01 mile
b. one inch = 0.1 mile
c. one inch = 1 mile
d. one inch = 10 miles
e. one inch = 100 miles
6.
Evan is making a kite. Approximately how many square feet of fabric is the kite? a. Between 5 and 7 square feet
b. Between 8 and 10 square feet
c. Between 11 and 14 square feet
d. Between 15 and 17 square feet
e. Between 18 and 20 square feet
7th Grade Power Bowl
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7.
If three numbers are randomly selected without replacement from 0, 1, 2, 3, and 4, how many
three-digit numbers greater than 100 can we make?
a. 125
8.
c. 60
The numerical expression
a. −
9.
b. 64
!"
!"
b. −
!
!
!
d. 48
e. 24
!
− ! 6 − ! + ! is equal to ! !"
!"
c.
!"
!"
d.
!"
21
e. 21
!"
Students were asked to explain the first step in solving the equation: 3y + 4 = 16. Four students
volunteered their answer. Susan says, “multiply by 3.” Ted says, “add 4 to both sides.” Greg
says, “subtract 4 from both sides.” Tonya says, “add 16 to both sides.”
Who is correct?
a. Susan
b. Ted
c. Greg
d. Tonya
e. none of these
10. Three times a certain number is 36. What is one-third of that certain number?
a. 4
b. 6
c. 12
d. 36
e. 108
11. If my mom is 38 and my dad is 44, after how many years will the sum of their ages equal 100?
a. 7 years
b. 8 years
c. 9 years
d. 10 years
e. 11 years
7th Grade Power Bowl
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12.
𝟒𝟗 – 𝟏𝟔 =
a. 65 b. 33 c. 25 d. 9 e. 3 13. The sum of six consecutive integers could be which of the answers below?
a. 81
b. 88
c. 92
d. 98
e. 114
14. A rectangular hay field has a length of 3000 ft. and width of 1200 ft. A rectangular wheat field is
twice the length and one quarter the width of the hay field. What percent of the hayfield’s area is
the wheat field? a. 0%
b. 25%
c. 50%
d. 100%
e. 40%
15. One of the factors of 24 is chosen at random. What is the probability that the chosen factor is
NOT an even number? a. 13%
b. 25%
c. 75%
d. 87%
e. none of these
16. The perimeter of a rectangle is 40 cm. If its width is 6 cm, what is the area of the rectangle?
a. 84 cm2
b. 100 cm2
c. 102 cm2
d. 168 cm2
e. 204 cm2
7th Grade Power Bowl
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17. Of 162 seventh graders, 80% of the 90 girls and 75% of the boys attended the school dance. How
many of these seventh graders attended the school dance?
a. 121 students
b. 126 students
c. 130 students
d. 132 students
e. 135 students
18. The marks on this thermometer are equally spaced. What is the positive difference in
temperature between the two marks?
a. 2.7°
b. 3.6°
c. 4.2°
d. 4.6°
e. 4.7°
19. One new oil well in North Dakota required 10,560 feet of steel pipe. Each segment of the pipe
was 32 feet long and weighed ¼ of a ton. (1 ton = 2,000 pounds)
How many pounds of steel were used for this one oil well?
a. 84,480 pounds
b. 124,000 pounds
c. 165,000 pounds
d. 660,000 pounds
e. 2,640,000 pounds
20.
Of the following numbers, which is closest to 10.98?
a. 10.00
b. 10.50
c. 10.90
d. 10.95
e. 11.00
7th Grade Power Bowl
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21.
How many of these five fractions are between 1.5 and 2?
a. 1
b. 2
! ! ! !
!
!
c. 3
! !" !
!"
d. 4
e. 5
22. John starts a savings account with $100. Every week he adds $6 to his account. Which equation
can be used to determine the number of weeks, w, when John’s account reaches $220?
a. 6w + 100 = 220
b. 6w – 100 = 220
c. 6w + 220 = 100
d. 6 + w = 220
e. 100w + 6 = 220
23. At the discount furniture store, Chris offered a salesperson $600 for a couch and a chair. The
offer includes the 8% sales tax. If the salesperson accepts the offer, what would be the price of
the furniture, to the nearest dollar, before tax?
a. $552
b. $556
c. $592
d. $648
e. $608
24. Use this box-and-whisker graph to answer the following questions.
What is the Interquartile Range of the data set?
a. 9
b. 16
c. 19
d. 46
e. 75
7th Grade Power Bowl
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25. Which set of numbers includes a number with an odd number of positive integer factors?
a. 2, 8, 10, 12
b. 14, 16, 24, 32
c. 5, 20, 30, 40
d. 87, 93, 101, 140
e. none of these
26. A cookie recipe calls for ¾ cup of milk for 3 dozen cookies. If you are making a very large batch
of cookies and have 1 quart of milk (4 cups). How many cookies can you make if you want to
use all of the milk?
a. 9 cookies
b. 16 cookies
c. 48 cookies
d. 144 cookies
e. 192 cookies
27. One box of cereal contains 12% more cereal than another box. The larger box contains 3 more
ounces of cereal than the smaller box. How many ounces of cereal are in the larger box?
a. 22 ounces
b. 25 ounces
c. 28 ounces
d. 31 ounces
e. 36 ounces
28. A set of numbers includes all of the two digit perfect square numbers. How many of the numbers
have both digits that are perfect squares?
a. 1
b. 2
c. 3
d. 4
e. 5
29. Four times a number decreased by negative twelve is ninety-two. What is the number? a. −20
b. 11.5
c. 20
d. 26
e. 24
7th Grade Power Bowl
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30. A computer programmer makes $34.32 per hour for 40 hours per week, 50 weeks per year. She is
offered a new job with a $72,500 annual salary. How much more would she earn per hour in the
new job if she works the same numbers of hours per year? a. $1.93
b. $3.63
c. $36.25
d. $38.60
e. $3860.00
31. A stack of 5 quarters is 1 cm tall. A stack of 4 dimes is the same height as a stack of 3 quarters.
Which is the total value of a 20 cm stack of quarters and a 30 cm stack of dimes?
a. $45.00
b. $48.00
c. $50.50
d. $54.40
e. $60.50
32. If 12 woodchucks could chuck 6 cords of wood in 4 hours, in one hour how much wood could a
woodchuck chuck if a woodchuck could chuck wood?
a. 1/8 cord
b. 1/4 cord
c. 1/2 cord
d. 3/4 cord
e. 1 cord
33. A 100 foot bungee chord with a ¾ in. diameter will stretch to 150 feet with a 140-pound load. If
the stretched length is proportional to the unstretched length under a constant load, how far would
a 150 ft. bungee chord with a ¾ in. diameter stretch with a 140 pound load? a. 225 ft.
b. 250 ft.
c. 275 ft.
d. 300 ft.
e. 210 ft.
7th Grade Power Bowl
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34. What is ratio of the area of triangle ABC to triangle ABD?
a. 1 to 3
b. 2 to 1
c. 3 to 1
d. 1 to 2
e. 1 to 4
35. Which of the following numbers is the smallest when p < -1 and 0 < q < 1?
a. −1/p
b. −1/q
c. |p|
d. −p
e. −q
7th Grade Power Bowl
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