Transcript Jeopardy

JEOPARDY
Numbers &
Operations
Algebra &
Functions
Geometry
& Measure
Statistics &
Probability
Potpourri
Q $100
Q $100
Q $100
Q $100
Q $100
Q $200
Q $200
Q $200
Q $200
Q $200
Q $300
Q $300
Q $300
Q $300
Q $300
Q $400
Q $400
Q $400
Q $400
Q $400
Q $500
Q $500
Q $500
Q $500
Q $500
Final Jeopardy
$100 QUESTION FROM NUMBERS &
OPERATIONS
The month of July has 31 days. What is the
greatest possible number of Saturdays that
can occur in July?
$100 ANSWER FROM NUMBERS &
OPERATIONS
5
$200 QUESTION FROM NUMBERS &
OPERATIONS
In a particular card game, the minimum score a
player can achieve in a single game is 20, and the
maximum score possible in a single game is 52. If a
player plays three games and scores a total of 141
points, what is the least number of points that the
player could have scored in one the games?
a)
b)
c)
d)
e)
35
36
37
38
39
$200 ANSWER FROM NUMBERS &
OPERATIONS
C
$300 QUESTION FROM NUMBERS &
OPERATIONS
A particular integer n is divisible by two
different prime numbers p and q. Which of
the following must be true?
I. N is not a prime number
II. N is divisible by pq
III. N is an odd integer
a)
b)
c)
d)
e)
I only
II only
I and II only
I and III only
I, II and III
$300 ANSWER FROM NUMBERS &
OPERATIONS
C
$400 QUESTION FROM NUMBERS &
OPERATIONS
What percent of the non-negative integers
less than 30 are prime?
$400 ANSWER FROM NUMBERS &
OPERATIONS
33.3
$500 QUESTION FROM NUMBERS &
OPERATIONS
Two consecutive integers m and n are prime
numbers. Which of the following is equal to
mn?
a)
b)
c)
d)
e)
1
2
6
9
15
$500 ANSWER FROM NUMBERS &
OPERATIONS
C
$100 QUESTION FROM ALGEBRA &
FUNCTIONS
For all numbers x, y, and z, let x y z be
defined by x y z = x – y + z. What is the
value of 1 2 3 ?
a)
b)
c)
d)
e)
1
2
3
4
5
$100 ANSWER FROM ALGEBRA &
FUNCTIONS
B
$200 QUESTION FROM ALGEBRA &
FUNCTIONS
If x + 1 = 7, what is the value of x2 + 2x + 1?
a)
b)
c)
d)
e)
36
37
48
49
81
$200 ANSWER FROM ALGEBRA &
FUNCTIONS
D
$300 QUESTION FROM ALGEBRA &
FUNCTIONS
Let f(x) = (x + 3)(x – 3) for any value of x. What
is the least possible value of f(x)?
a)
b)
c)
d)
e)
-9
-3
0
3
9
$300 ANSWER FROM ALGEBRA &
FUNCTIONS
A
$400 QUESTION FROM ALGEBRA &
FUNCTIONS
Let
x
be defined by
x
= x + 3 for any x such that x≠1.
x -1
Which of the following is equivalent to
a) x + 2
b)
c)
d)
e)
x -1
4
x -1
2x + 4
x -1
2
x -1
x+2
x-2
x
- 1?
$400 ANSWER FROM ALGEBRA &
FUNCTIONS
B
$500 QUESTION FROM ALGEBRA &
FUNCTIONS
Let f(x) = ax2 and g(x) = bx4 for any value of x. If
a and b are positive constants, for how many
values of x is f(x) = g(x)?
a)
b)
c)
d)
e)
None
One
Two
Three
Four
$500 ANSWER FROM ALGEBRA &
FUNCTIONS
D
$100 QUESTION FROM GEOMETRY &
MEASURE
In the figure above, two line segments meet
at a point on line l. What is the value of x?
$100 ANSWER FROM GEOMETRY &
MEASURE
45
$200 QUESTION FROM GEOMETRY &
MEASURE
A particular cube has edges of length 2. If
half the faces are painted green and half the
faces are painted red, what is the total area
of the faces painted green?
$200 ANSWER FROM GEOMETRY &
MEASURE
12
$300 QUESTION FROM GEOMETRY &
MEASURE
The length of a particular rectangle is 4
greater than the width of the rectangle. If the
perimeter of the rectangle is 16, what is the
area of the rectangle?
a)
b)
c)
d)
e)
2
6
8
12
16
$300 ANSWER FROM GEOMETRY &
MEASURE
D
$400 QUESTION FROM GEOMETRY &
MEASURE
The height of a right circular cylinder is 5 and
the diameter of its base is 4. What is the
distance from the center of one base to a
point on the circumference of the other
base?
a) 3
b) 5
c) 29 (approximately 5.39)
d) 33 (approximately 5.74)
e) 41 (approximately 6.40)
$400 ANSWER FROM GEOMETRY &
MEASURE
C
$500 QUESTION FROM GEOMETRY &
MEASURE
In the figure, AB = 6 and BC = 8. What is the
area of triangle ABC?
a)
b)
c)
d)
e)
12
12
24
24
36
2
3
2
3
3
$500 ANSWER FROM GEOMETRY &
MEASURE
B
$100 QUESTION FROM STATISTICS &
PROBABILITY
In the triangle above, what is the average
(arithmetic mean) of x, y, and z?
a)
b)
c)
d)
e)
30
45
60
75
90
$100 ANSWER FROM STATISTICS &
PROBABILITY
C
$200 QUESTION FROM STATISTICS &
PROBABILITY
Telephone Call Costs
From City X to
First 3 minutes
Each additional minute
City Y
$0.60
$0.20
City Z
$0.20
$0.05
Based on the table above, what is the cost of a 15minute phone call from city X to city Y?
a) $0.80
b) $3.00
c) $4.00
d) $4.60
e) $5.00
$200 ANSWER FROM STATISTICS &
PROBABILITY
B
$300 QUESTION FROM STATISTICS &
PROBABILITY
The pie chart gives the breakdown of a company’s
profits last month from its three
geographic sales regions. If the
total profits last month were
$20,000, what was the profit from
the Central sales region?
$300 ANSWER FROM STATISTICS &
PROBABILITY
$5,000
$400 QUESTION FROM STATISTICS &
PROBABILITY
Electricity Charges for Power Company A
0 – 100 Kilowatt-Hours
$15.00
Each Kilowatt-Hour over 100
$0.09
Use the table shown to answer the following
question. What does Power Company A charge for
the use of 1,000 kilowatt-hours?
a)
b)
c)
d)
e)
15
90
96
105
120
$400 ANSWER FROM STATISTICS &
PROBABILITY
C
$500 QUESTION FROM STATISTICS &
PROBABILITY
Movie Rating Chart
Movie
Adult Rating
Children Rating
A
3
1
B
2
4
C
3
4
D
4
2
E
1
1
Worse
1
2
3
4
Best
5
If the shown rating system is used, how many
different combinations of adult and children rating is
it possible for a movie to receive?
a) 2
b) 4
c) 8
d) 16
e) 24
$500 ANSWER FROM STATISTICS &
PROBABILITY
D
$100 QUESTION FROM POTPOURRI
How many positive integers less than 100
are divisible by 3, 5, and 7?
a)
b)
c)
d)
e)
None
One
Two
Three
Four
$100 ANSWER FROM POTPOURRI
A
$200 QUESTION FROM POTPOURRI
3m < 13
2m > 7
If m is an integer that satisfies the equations
above, what is the value of m?
a)
b)
c)
d)
e)
0
2
3
4
5
$200 ANSWER FROM POTPOURRI
D
$300 QUESTION FROM POTPOURRI
m, 2m, 4m, …
The first term in the sequence above is m,
and each term thereafter is equal to twice the
previous term. If m is an integer, which of
the following could NOT be the sum of the
first four terms of this sequence?
a)
b)
c)
d)
e)
-25
-15
45
75
120
$300 ANSWER FROM POTPOURRI
A
$400 QUESTION FROM POTPOURRI
What is the sum of all the odd positive integers less
than 100?
a)
b)
c)
d)
e)
2400
2500
2525
2600
2650
$400 ANSWER FROM POTPOURRI
B
$500 QUESTION FROM POTPOURRI
In the x-y plane, the lines y = 2x – 1 and
y = x + c intersect at point P, where c is a
positive number. Portions of these lines
are shown in the figure. If the value of c is
between 1 and 2, what is one possible
value of the x-coordinate of P?
$500 ANSWER FROM POTPOURRI
2< x < 3
FINAL JEOPARDY
If x, y, and z are positive numbers, and x is y% of z,
then which of the following must be equal in value to
y?
a)
b)
x
x
z
100z
c) 100x
z
d) z x
e) 100z
x
FINAL JEOPARDY ANSWER
C