JEOPARDY
Numbers &
Operations
Algebra &
Functions&
Functions
Geometry &
Measure &
Measure
Statistics &
Probability
Q $100
Q $100
Q $100
Q $100
Q $200
Q $200
Q $200
Q $200
Q $300
Q $300
Q $300
Q $300
Q $400
Q $400
Q $400
Q $400
Q $500
Q $500
Q $500
Q $500
Final Jeopardy
$100 QUESTION FROM NUMBERS &
OPERATIONS
x, 2x, 4x, …
The first term in the sequence above is x,
and each term thereafter is equal to twice the
previous term. Which of the following is the
sum of the first five terms of this sequence?
a)
b)
c)
d)
e)
10x
15x
30x
31x
32x
$100 ANSWER FROM NUMBERS &
OPERATIONS
D
$200 QUESTION FROM NUMBERS &
OPERATIONS
A positive integer is subtracted from its
square. The units digit of the result could be
which of the following?
a)
b)
c)
d)
e)
3
4
5
6
7
$200 ANSWER FROM NUMBERS &
OPERATIONS
D
$300 QUESTION FROM NUMBERS &
OPERATIONS
A total of 120,000 votes were cast for 2
opposing candidates, Garcia and Perez. If
Garcia won by a ratio of 5 to 3, what was the
number of votes cast for Perez?
a)
b)
c)
d)
e)
15,000
30,000
45,000
75,000
80,000
$300 ANSWER FROM NUMBERS &
OPERATIONS
C
$400 QUESTION FROM NUMBERS &
OPERATIONS
If t is a number greater than 1, then t2 is how
much greater than t?
a)
b)
c)
d)
e)
1
2
t
t(t -1)
(t – 1)(t + 1)
$400 ANSWER FROM NUMBERS &
OPERATIONS
D
$500 QUESTION FROM NUMBERS &
OPERATIONS
If j, k, and n are consecutive integers such that
0 < j < k < n and the units (ones) digit of the
product jn is 9, what is the units digit of k?
a)
b)
c)
d)
e)
0
1
2
3
4
$500 ANSWER FROM NUMBERS &
OPERATIONS
A
$100 QUESTION FROM ALGEBRA &
FUNCTIONS
If x + 1 = 23, what is the value of 3x + 3?
a)
b)
c)
d)
e)
22
46
66
69
72
$100 ANSWER FROM ALGEBRA &
FUNCTIONS
D
$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
Suppose that n is an integer such that
n
is 12
3
greater than n . Which of the following is the
2
value of n?
a)
b)
c)
d)
e)
-72
-36
-24
24
72
$300 ANSWER FROM ALGEBRA &
FUNCTIONS
A
$400 QUESTION FROM ALGEBRA &
FUNCTIONS
Let m and n be positive integers such that onethird of m is n less than one-half of m. Which
of the following is a possible value of m?
a)
b)
c)
d)
e)
15
21
24
26
28
$400 ANSWER FROM ALGEBRA &
FUNCTIONS
C
$500 QUESTION FROM ALGEBRA &
FUNCTIONS
Let m be an even integer. How many possible
values of m satisfy m + 7 £ 3 ?
a)
b)
c)
d)
e)
One
Two
Three
Four
Five
$500 ANSWER FROM ALGEBRA &
FUNCTIONS
E
$100 QUESTION FROM GEOMETRY &
MEASURE
In the figure above, line l is perpendicular to the
y-axis and a distance of two units from the xaxis. Which of the following points is on line l?
a) (-1, 2)
b) (-2, 1)
c) (2, 3)
d) (3, 1)
e) 4, 3)
$100 ANSWER FROM GEOMETRY &
MEASURE
A
$200 QUESTION FROM GEOMETRY &
MEASURE
In the figure above, ABCD is a rectangle. If
AD = 6, which of the following could be the
length of AC?
a) 3
b) 4
c) 5
d) 6
e) 7
$200 ANSWER FROM GEOMETRY &
MEASURE
E
$300 QUESTION FROM GEOMETRY &
MEASURE
Semicircular arcs AO and OB divide the circle
above with center O into two regions. If the length
of diameter AB is 12, what is the area of the
shaded region?
a) 6π
b) 9π c) 18π
d) 36π
e) 72π
$300 ANSWER FROM GEOMETRY &
MEASURE
C
$400 QUESTION FROM GEOMETRY &
MEASURE
x2
y=
2
y=
x
2
The curve
and the line
intersect at the
origin and at the point (a, b), as shown in the figure
above. What is the value of b?
a) 1
b) 1 4
c) 1 2
d) 1
e) 2
8
$400 ANSWER FROM GEOMETRY &
MEASURE
B
$500 QUESTION FROM GEOMETRY &
MEASURE
In the figure above, AB = 6 and BC = 8. What is the
length of segment BD?
a)
2
b) 12
5
c)
4
d)
24
5
e)
6
$500 ANSWER FROM GEOMETRY &
MEASURE
D
$100 QUESTION FROM STATISTICS &
PROBABILITY
y
°
x
°
z
°
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
The circle graph above shows how David’s monthly
expenses are divided. If David spends $450 per month for
food, how much does he spend per month on his car?
a) $200
b) $320
c) $360
d) $400
e) $450
$200 ANSWER FROM STATISTICS &
PROBABILITY
C
$300 QUESTION FROM STATISTICS &
PROBABILITY
{1, 2, 3, 4, 5, 6, 7}
Set M is shown above. Each number in set N is
generated by dividing each number in set M by 2.
What is the average (arithmetic mean) of the
numbers in set N?
a) 1
b) 3/2
c) 7/4
d) 2
e) 4
$300 ANSWER FROM STATISTICS &
PROBABILITY
D
$400 QUESTION FROM STATISTICS &
PROBABILITY
The first term in a sequence is the number n,
and each term thereafter is 5 greater than
the term before. Which of the following is the
average (arithmetic mean) of the first nine
terms of this sequence?
a)
b)
c)
d)
e)
n + 20
n + 180
2n
2n + 40
9n + 180
$400 ANSWER FROM STATISTICS &
PROBABILITY
A
$500 QUESTION FROM STATISTICS &
PROBABILITY
The average (arithmetic mean) of a particular
set of seven numbers is 12. when one of the
numbers is replaced by the number 6, the
average of the set increases to 15. What is
the number that was replaced?
a)
b)
c)
d)
e)
-20
-15
-12
0
12
$500 ANSWER FROM STATISTICS &
PROBABILITY
B
FINAL JEOPARDY
If x and y are positive integers, which of the
following is equivalent to (2x)3y – (2x)y ?
a)(2x)2y
b)2y(x3 – xy)
c)(2x)y[(2x)2y-1]
d)(2x)y(4xy-1)
e)(2x)y[(2x)3-1]
FINAL JEOPARDY ANSWER
C