JEOPARDY Numbers & Operations Algebra & Functions Geometry & Measure Statistics & Probability...

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Transcript of JEOPARDY Numbers & Operations Algebra & Functions Geometry & Measure Statistics & Probability...

JeopardyNumbers & 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 $500Final 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) 35b) 36c) 37d) 38e) 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 numberII. N is divisible by pqIII. N is an odd integer

• 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) 1b) 2c) 6d) 9e) 15

$500 Answer from Numbers & Operations

C

$100 Question from Algebra & Functions

For all numbers x, y, and z, let be defined by = x – y + z. What is the value of ?

a) 1b) 2c) 3d) 4e) 5

x y z

x y z

1 2 3

$100 Answer from Algebra & Functions

B

$200 Question from Algebra & Functions

If x + 1 = 7, what is the value of x2 + 2x + 1?

a) 36b) 37c) 48d) 49e) 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) -9b) -3c) 0d) 3e) 9

$300 Answer from Algebra & Functions

A

$400 Question from Algebra & Functions

Let be defined by = for any x such

that x≠1. Which of the following is

equivalent to - 1?

a)

b)

c)

d)

e)

xx

x

$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)?

• 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) 2b) 6c) 8d) 12e) 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) 3b) 5c) (approximately 5.39)d) (approximately 5.74)e) (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)

$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) 30b) 45c) 60d) 75e) 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 $0.05Based on the table above, what is the cost of a 15-minute 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

Use the table shown to answer the following question. What does Power Company A charge for the use of 1,000 kilowatt-hours?

a) 15b) 90c) 96d) 105e) 120

Electricity Charges for Power Company A

0 – 100 Kilowatt-Hours $15.00

Each Kilowatt-Hour over 100 $0.09

$400 Answer from Statistics & Probability

C

$500 Question from Statistics & Probability

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

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

$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) Noneb) Onec) Twod) Threee) Four

$100 Answer from Potpourri

A

$200 Question from Potpourri

3m < 132m > 7

If m is an integer that satisfies the equations above, what is the value of m?

a) 0b) 2c) 3d) 4e) 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) -25b) -15c) 45d) 75e) 120

$300 Answer from Potpourri

A

$400 Question from Potpourri

What is the sum of all the odd positive integers less than 100?

a) 2400b) 2500c) 2525d) 2600e) 2650

$400 Answer from Potpourri

B

$500 Question from Potpourri

In the x-y plane, the lines y = 2x – 1 andy = 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 JeopardyIf 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)

c)

d)

e)

Final Jeopardy Answer

C