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