February 16, 2016
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.
Which of the following points is NOT on the graph of the function y = 2x + 1?
a. (0,1)
2.
d. (-1,-1)
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e. (0.5,1)
"
Lena paid $18.96 for 3 pounds of coffee. How much would it cost Lena to buy 4 pounds of
#
coffee?
a. $6.32
3.
"
c. ( ,2)
b. (2,5)
b. $28.44
c. $7.50
d. $25.28
e. $25.78
George has had a collection of baseball cards for several years. When he started his collection,
his grandfather gave him 200 baseball cards. Each year for his birthday he gets 100 more
baseball cards. Suppose that B, the number of cards in the collection, can be described as a
function of t, which is the amount of time in years since the collection was started. Which
equation could represent the number of cards in his collection?
a. B = 200 + 100t
b. B = 100 + 200t
c. B = 100 − 200t
d. B = 100 − 200t
e. None of these
4.
Solve the inequality: −4𝑥 + 3 ≥ 10.
a. 𝑥 ≥ 1
1
2
b. 𝑥 ≤
2
4
c. 𝑥 ≤ 1
1
2
d. 𝑥 ≥ −
2
4
e. 𝑥 ≤ −1
8th Grade Power Bowl
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Page 1
5.
How many squares of any size are in the figure below?
a. 16
6.
b. 17
c. 18
d. 19
e. 20
Simplify the expression:
3x – 4y – 6(2x – y) + (– 5y)
a. – 9x – 8y
7.
c. – 9x – 3y
d. 15x – 8y
e. – 9x – 10y
Nine bus stops are equally spaced along a bus route. The distance from the first to the third is
600 m. How far is it from the first stop to the last stop?
a. 600 m
8.
b. 15x + 10y
b. 1600 m
c. 1800 m
d. 2400 m
e. 2700 m
The sum of any 5 consecutive integers is always divisible by which of the following numbers?
a. 3
b. 7
c. 5
d. 4
e. None of these
8th Grade Power Bowl
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9.
The scatter plot below shows the relationship between the number of airports in a state and the
population of that state according to the 2010 Census. Each dot represents a single state.
How would you characterize the relationship between the number of airports in a state and the
state’s population? (Select one):
a. The variables are positively associated; states with higher populations tend to
have fewer airports.
b. The variables are negatively associated; states with higher populations tend to
have fewer airports.
c. The variables are positively associated; states with higher populations tend to
have more airports.
d. The variables are negatively associated; states with higher populations tend to
have more airports.
e. The variables are not associated.
8th Grade Power Bowl
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10. What is the length of 𝐴𝐵 in triangle ABC (the triangle is NOT drawn to scale)?
a. 2 units
b. 7 units
c. 4 21 units
d. 12 units
e.
28
units
11. The square has area 36 cm2 . What is the area (in cm2) of the inscribed circle?
a. 6π cm2
b. 9π cm2
c. 12π cm2
d. 36π cm2
e. 81π cm2
12. Which of these is a multiple of 3?
a. 2009
b. 2 + 0 + 0 + 9
c. (2 + 0) • (0 + 9)
d. 29
e. 200 −9
8th Grade Power Bowl
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13. Given the graph below, what is the transformation of figure ABCDE to figure A’B’C’D’E’?
a. Translation of 4 units down
b. Reflection over the x-axis
c. Reflection over the y-axis
d. Rotation about (0,2)
e. Translation of 4 units to the right
14. Four of the points below lie on a single straight line. Which one is NOT on the line?
a. (5,5)
b. (6,11)
c. (4,7)
d. (8,15)
e. (2,3)
8th Grade Power Bowl
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15.
The three eighth grade classes at Washington Middle School collected the most box tops for a
school fundraiser, and so they won a $600 prize to share among them. Mr. Allen’s class
collected 3,760 box tops, Mrs. Bieber’s class collected 2,301 box tops, and Mr. Canseco’s class
collected 1,855. If they divide the money so that each class gets the same fraction of the prize
money as the fraction of the box tops that they collected, how much money should Mrs.
Bieber’s class receive?
a. $276
16.
b. $140.60
c. $284.99
d. $174.41
e. $180
c. 44°
d. 45°
e. 64°
What is the measure of angle x?
a. 30°
b. 36°
17. A rectangular prism has a square base measuring 3.5 inches on each edge length, and is 8.2
inches high. What is the volume?
a. 11.7 in.3
b. 15.2 in.3
c. 28.7 in.3
d. 57.4 in.3
e. 100.45 in.3
8th Grade Power Bowl
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18. Neil’s washing machine is broken. Shown below are the price estimates that Neil received from
five different companies. If it will take 5 hours to fix the washing machine, which company
would be the least expensive?
•
•
Company A charges $35 per hour to its customers.
Company B charges a $20 service fee for coming out to the house and then $25 per hour.
•
Company C charges a $45 service fee for coming out to the house and then $20 per hour.
•
Company D charges $25 service fee for coming out to the house and $25 per hour.
•
Company E charges $30 service fee for coming out to the house and $15 per hour.
a. Company A
19.
c. Company C
d. Company D
e. Company E
Which equation below has no solution?
a. 3𝑥 = 5
20.
b. Company B
b. 𝑦 = 𝑦 + 1
c. 7– 5𝑤 = 3
d. 4𝑎 = 9𝑎
e. 5𝑧 + 7 = 3
The graph below show the distance two cars have traveled along the freeway over a period
of several seconds. Car A is traveling 30 meters per second.
Which equation from those shown below is the best choice for describing the distance traveled
by car B after x seconds?
a. 𝑦 = 85𝑥
b. 𝑦 = 60𝑥
c. 𝑦 = 45𝑥
d. 𝑦 = 30𝑥
e. 𝑦 = 15𝑥
8th Grade Power Bowl
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21. Lines L and M have the same slope. The equation of line L is 4y = x. Line M passes through
the point (0,-5).
What is the equation of line M?
"
a. 𝑦 = 2 𝑥 − 5
b. 𝑦 = 4𝑥 − 5
"
c. 𝑦 = 2 𝑥 + 5
d. 𝑦 = 4𝑥 + 5
e. 𝑦 = 4𝑥
22. Two cars are traveling in the same direction, one at 40km/hr and the other at 50 km/hr. If the
slower car is 15 km ahead of the faster car, how long will it take the faster car to catch up with
the slower car?
a. 60 minutes
b. 75 minutes
c. 80 minutes
d. 90 minutes
e. None of these
23. A pilot flew 80 km. He flew the first 4 minutes at half speed and the second 4 minutes at full
speed. What is the full speed of the plane?
a. 400 km/hr
b. 600 km/hr
c. 800 km/hr
d. 1000 km/hr
e. None of these
24. Josh buys a jacket that is on sale for a 25% discount. They charge him 6% sales tax and he pays
$63.60. What was the original price of the jacket before the sale?
a. $75.00
b. $80.00
c. $85.00
d. $87.00
e. None of these
8th Grade Power Bowl
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25. There are 5 ice cream flavors, 3 syrup toppings, and 4 different types sprinkles. An ice cream
sundae has 1 scoop of ice cream with 1 syrup topping and 1 type of sprinkles. How many
different types of sundaes could be made?
a. 60
b. 35
c. 12
d. 19
e. None of these
26. One angle of an isosceles triangle measures 82.64 degrees. The other two angles are congruent
to each other. What is the measure of each of the two congruent angles?
a. 48.68°
b. 138.68°
c. 41.32°
d. 97.36°
e. None of these
27. The graph below shows the number of cars produced each year from 2001-2003. If the number of
cars produced in 2004 was 250,000, which value would NOT change?
a. median
28.
b. range
c. mean
d. All of these
e. None of these
The equation of two lines are 4𝑥– 𝑦 = 8 and 𝑦 = 2𝑥 + 16. Where do these lines intersect?
a. (12, 40)
b. (8, 16)
c. (4, 12)
d. (40, 12)
e. (4, 8)
8th Grade Power Bowl
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29.
Which expression equals 5 if x = 1, y = – 2, and z = 10?
a.
30.
AB#C
b. x2 (y + x)
DE
CA
D
−
DA
A
d. (x – y) 2 • (x + z)
e.
xz
y
(x+y)
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Ashton ran of a mile in 7 minutes. If Ashton runs at that speed, how long will it take him to run
1
1 mile?
a. 8.5 minutes
31.
c.
A penny is about
b. 9 minutes
"
"F
c. 9.5 minutes
d. 10.5 minutes
e. 12 minutes
of an inch thick. In 2011, there were approximately 5 billion pennies
minted. If all of these pennies were placed in a single stack, about how many feet high would
that stack be?
a. 25 million feet high
b. 26 million feet high
c. 27 million feet high
d. 28 million feet high
e. 313 million feet high
32.
DVDs can be made in a factory in New Mexico at the rate of 20 DVDs per $3, but the factory
costs $80,000 to build. If they make 1 million DVDs, what is the unit cost per DVD?
a. $0.15
33.
b. $0.20
c. $0.23
d. $0.25
e. $2.30
Which of the following is equivalent to 800 ?
a. 2 400
b. 20 2
c. 40 2
d. 200
e. 400
8th Grade Power Bowl
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34. Christine invested $800 in a savings account. Her account earned $51 in simple interest in 9
months. What was the annual interest rate?
1
a. 6 %
G
35.
b. 7%
c. 8%
"
d. 8 %
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e. 9%
For how many positive integers is the number of digits of its square the same as the number of
digits of its cube?
a. 0
b. 3
c. 4
d. 9
e. Infinitely many
8th Grade Power Bowl
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