Numbers &
Operations
Algebra &
Functions
Geometry &
Measure
Statistics &
Probability
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Final Jeopardy

$100 QUESTION FROM NUMBERS &
OPERATIONS
Aubrey can run at a pace of 6 miles per hour.
Running at the same rate, how many miles can she run in 90 minutes?
a) 4 b) 6 c) 8 d) 9 e) 12

$100 ANSWER FROM NUMBERS &
OPERATIONS
D

$200 QUESTION FROM NUMBERS &
OPERATIONS
Which of the following is a factor of 15 + 45?
a) 18 b) 25 c) 30 d) 35 e) 45

$200 ANSWER FROM NUMBERS &
OPERATIONS
C

$300 QUESTION FROM NUMBERS &
OPERATIONS
A number is divided by four. The result is divided by three, for a final result of two.
What was the original number?
a) 6 b) 12 c) 18 d) 24 e) 36

$300 ANSWER FROM NUMBERS &
OPERATIONS
D

$400 QUESTION FROM NUMBERS &
OPERATIONS
Which of the following is NOT a positive multiple of 9 + 3?
a) 3 b) 12 c) 24 d) 48 e) 60

$400 ANSWER FROM NUMBERS &
OPERATIONS
A

$500 QUESTION FROM NUMBERS &
OPERATIONS abcdeabcdeabc…
In the sequence of letters shown above, the first letter is a , followed by b, c, d, and e , at which point the pattern repeats. Which of the following is the 31 st letter in this sequence?
a) a b) b c) c d) d e) e

$500 ANSWER FROM NUMBERS &
OPERATIONS
A

$100 QUESTION FROM ALGEBRA &
FUNCTIONS
A pool that is being drained contains 300 – 6 t gallons of water after t minutes of draining.
How many gallons of water does the pool contain after 15 minutes of draining?

$100 ANSWER FROM ALGEBRA &
FUNCTIONS
210

$200 QUESTION FROM ALGEBRA &
FUNCTIONS
Bill is 27 years older than Ted, who is 38 years younger than Amy. In how many years will Bill be the same age as Amy is now?

$200 ANSWER FROM ALGEBRA &
FUNCTIONS
11

$300 QUESTION FROM ALGEBRA &
FUNCTIONS
A three-digit number, XYZ , is formed of three non-zero digits X, Y, Z.
If the value of X is twice the value of Z , and the value of Y is three times the value of X , what is the number X, Y, Z .

$300 ANSWER FROM ALGEBRA &
FUNCTIONS
261

$400 QUESTION FROM ALGEBRA &
FUNCTIONS
Amy is two years older than Bill. The square of Amy ’s age in years is 36 greater than the square of Bill ’s age in years. What is the sum of Amy ’s age and Bill’s age in years?

$400 ANSWER FROM ALGEBRA &
FUNCTIONS
18

$500 QUESTION FROM ALGEBRA &
FUNCTIONS x
3
+ y
12
= z
In the equation shown above, x, y, and z are positive integers. All of the following could be a possible value of y EXCEPT a) 4 b) 6 c) 8 d) 12 e) 20

$500 ANSWER FROM ALGEBRA &
FUNCTIONS
B

$100 QUESTION FROM GEOMETRY &
MEASURE
Three lines L1, L2, and L3 lie in a plane. If L1 || L2, which of the following is never true? a) A point on L1 can lie on L3.
b) A point on L1 cannot lie on L2.
c) A point on L2 can lie on L3.
d) A point on L3 can lie on both L1 and L2.
e) A point on L3 cannot lie on both L1 and L2.

$100 ANSWER FROM GEOMETRY &
MEASURE
D

$200 QUESTION FROM GEOMETRY &
MEASURE
A square is tangent to a line at point P in the figure above. What is the value of x ?

$200 ANSWER FROM GEOMETRY &
MEASURE
30

$300 QUESTION FROM GEOMETRY &
MEASURE
In the figure above, ABCD is a rectangle.
What is the area of ABCD?
a) 2 b) 3 c) d)
6
2 2 e) 2 3

$300 ANSWER FROM GEOMETRY &
MEASURE
B

$400 QUESTION FROM GEOMETRY &
MEASURE
The circle shown with center O is divided into 4 equal p perimeter of the shaded region? a) 32
+
16 b) c) d) e)
4
+
16
2
+
16
8
2 p
2 p p p p

$400 ANSWER FROM GEOMETRY &
MEASURE
E

$500 QUESTION FROM GEOMETRY &
MEASURE
In the figure above, a square is inscribed in a circle. If the area of the square is 36, what is the perimeter of the shaded region?
a) b)
6
+
3 2
6
+
3 p
2 p c) d) e)
6
+
3 2
36
+
6 2
9 p -
9
2 p p

$500 ANSWER FROM GEOMETRY &
MEASURE
A

$100 QUESTION FROM STATISTICS &
PROBABILITY
A gab contains tomatoes that are either green or red. The ratio of green tomatoes to red tomatoes in the bag is 4 to 3. When five green tomatoes and five red tomatoes are removed, the ratio becomes 3 to 2. How many tomatoes were originally in the bag?
a) 12 b) 15 c) 16 d) 24 e) 30

$100 ANSWER FROM STATISTICS &
PROBABILITY
B

$200 QUESTION FROM STATISTICS &
PROBABILITY
The average of four different integers is 808.
One of the integers is 107 and one of the integers is 800. If all of the integers are positive, what is the largest that one of the other two numbers could be?

$200 ANSWER FROM STATISTICS &
PROBABILITY
2324

$300 QUESTION FROM STATISTICS &
PROBABILITY
All cabbages are red.
Which of the following statements shows that the statement above is FALSE?
a) David is eating a red apple.
b) Bill is eating a green apple.
c) Alice is not eating a red cabbage.
d) Ted is eating a red cabbage.
e) Keisha is eating a green cabbage.

$300 ANSWER FROM STATISTICS &
PROBABILITY
E

$400 QUESTION FROM STATISTICS &
PROBABILITY
From City X to
City Y
City Z
Telephone Call Costs
First 3 minutes
$0.60
$0.20
Each additional minute
$0.20
$0.05
Based on the table above, what is the difference in cost of a 20-minutes call from city X to city Y and a
20 minute call from city X to city Z? a) $1.05
b) $1.20 c) $1.95 d) $2.95 e) $3.00

$400 ANSWER FROM STATISTICS &
PROBABILITY
D

$500 QUESTION FROM STATISTICS &
PROBABILITY
Which of the following answer choices is equal to the sum of three consecutive odd integers?
a) 153 b) 154 c) 155 d) 156 e) 157

$500 ANSWER FROM STATISTICS &
PROBABILITY
E

In a series of integers, each term (after the first term) is twice as large as the prior term.
If the first term is 3, what is the third term?
a) 3 b) 6 c) 9 d) 12 e) 27

D

If 3 x = 13 and 2 y = 7, what is the value of
3(2 x ) – 2(3 y )?

5

In the figure above, two line segments meet at a point on line l . If the value of y is equal to the square of the value of x , what is the value of y ?

100

The median of a particular set of 10 integers is itself an integer. Which of the following could be true?
I. The integers of the set are all identical
II. The integers of the set are consecutive
III. The 5 th largest and 6 th largest integers of the set are odd.
a) I only b) II only c) I and II only d) I and III only e) I, II, and III

D

Two cars are racing at a constant speed around a circular racetrack. Car A requires 15 seconds to travel once around the racetrack, and car B requires 25 seconds to travel once around the racetrack. If car A passes car B, how many seconds will elapse before car A once again passes car B?

37.5

The sum of two integers is 33. The difference between the two integers is 3.
What is the smaller of the two integers?
a) 11 b) 15 c) 18 d) 32 e) 36

B