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 If each digit in an integer is greater than the digit to the left, the integer is said to be ‘monotonic’. For example 12 is a monotonic integer since 2 > 1. How many positive twodigit monotonic integers are there? a) b) c) d) e) 28 32 36 40 44 $100 ANSWER FROM NUMBERS & OPERATIONS C $200 QUESTION FROM NUMBERS & OPERATIONS If p is a prime number, how many factors does p3 have? a) b) c) d) e) One Two Three Four Five $200 ANSWER FROM NUMBERS & OPERATIONS D $300 QUESTION FROM NUMBERS & OPERATIONS a, 2a – 1, 3a – 2, 4a – 3, … For a particular number a, the first term in the sequence above is equal to a, and each term thereafter is 7 greater than the previous term. What is the value of the 16th term in the sequence? $300 ANSWER FROM NUMBERS & OPERATIONS 113 $400 QUESTION FROM NUMBERS & OPERATIONS A perfect square is an integer that is the square of an integer. Suppose that m and n are positive integers such that mn > 15. If 15mn is a perfect square, what is the least possible value of mn? $400 ANSWER FROM NUMBERS & OPERATIONS 60 $500 QUESTION FROM NUMBERS & OPERATIONS If p is a number, which of the following could also be a prime number? a) b) c) d) e) p/2 2p p2 p+2 2p - 2 $500 ANSWER FROM NUMBERS & OPERATIONS D $100 QUESTION FROM ALGEBRA & FUNCTIONS x 1 2 3 4 5 6 g(x) 3 11 19 27 a 43 The table above defines several values of the linear function g. What is the value of a? a) b) c) d) e) 31 33 35 37 41 $100 ANSWER FROM ALGEBRA & FUNCTIONS C $200 QUESTION FROM ALGEBRA & FUNCTIONS If 3m-3 + 3m-3 =18, what is the value of m? a) b) c) d) e) 3 4 5 6 9 $200 ANSWER FROM ALGEBRA & FUNCTIONS C $300 QUESTION FROM ALGEBRA & FUNCTIONS The graphs of the functions f and g are lines, as shown. If a=f(4), what is the value of g(a)? a) b) c) d) e) 1.5 2 3 4 4.5 $300 ANSWER FROM ALGEBRA & FUNCTIONS C $400 QUESTION FROM ALGEBRA & FUNCTIONS If (x + 1)2 = 4 and (x – 1)2 = 16, what is the value of x? a) b) c) d) e) -3 -1 1 3 5 $400 ANSWER FROM ALGEBRA & FUNCTIONS A $500 QUESTION FROM ALGEBRA & FUNCTIONS t 0 1 2 N(t) 128 16 2 The table above shows some values for the function N. If N(t) = k 2-at for positive constants k and a, what is the value of a? a) b) c) d) e) -3 -2 1 3 2 3 $500 ANSWER FROM ALGEBRA & FUNCTIONS E $100 QUESTION FROM GEOMETRY & MEASURE In the figure shown, AB || CD and ÐABC = 75°. What is the value of ÐBCD? a) 65 b) 75 c) 80 d) 95 e) 115 $100 ANSWER FROM GEOMETRY & MEASURE B $200 QUESTION FROM GEOMETRY & MEASURE Rectangle ABCD is subdivided into two identical square regions, as in the figure above. If the area of each square is 9, what is the perimeter of ABCD? $200 ANSWER FROM GEOMETRY & MEASURE 18 $300 QUESTION FROM GEOMETRY & MEASURE A particular square has a side of length s. If the area of the square is numerically equal to the perimeter of the square, then what is the value of s? $300 ANSWER FROM GEOMETRY & MEASURE 4 $400 QUESTION FROM GEOMETRY & MEASURE The figure shown is two semicircles of diameter d connected by segment AB. If the length of AB is ½ of d, and d = 4, what is the total length of the figure? a)2π b) 2π+2 c) 4π d) 4π+1 e) 4π+2 $400 ANSWER FROM GEOMETRY & MEASURE E $500 QUESTION FROM GEOMETRY & MEASURE In the figure above, AC = 7 and AB = BC. What is the smallest possible integer value of AB? $500 ANSWER FROM GEOMETRY & MEASURE 4 $100 QUESTION FROM STATISTICS & PROBABILITY A basket contains turnips that are either red or white. If the total number of turnips in the basket is 24, and the probability of choosing a red turnip at random is 5 6 , how many red turnips are in the basket? $100 ANSWER FROM STATISTICS & PROBABILITY 20 $200 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 According to the table shown, which of the movies was rated worst for adults? a) A b) B c) C d) D e) E $200 ANSWER FROM STATISTICS & PROBABILITY E $300 QUESTION FROM STATISTICS & PROBABILITY If x is chosen at random from the set {2, 3, 4, 5, 6}, and y is chosen at random from the set {11, 13, 15}, what is the probability that xy is even? $300 ANSWER FROM STATISTICS & PROBABILITY 3 5 $400 QUESTION FROM STATISTICS & PROBABILITY According to the graphs above, how many seniors are enrolled at Taft High School? a) 375 b) 525 c) 750 d) 1500 e) 2125 $400 ANSWER FROM STATISTICS & PROBABILITY A $500 QUESTION FROM STATISTICS & PROBABILITY A drawer contains 4 blue socks and 6 green socks, and you randomly select two socks. What is the probability that both socks are blue? $500 ANSWER FROM STATISTICS & PROBABILITY 2 15 $100 QUESTION FROM POTPOURRI If 3x2 = 75, then x = a) b) c) d) e) -5 3 5 5 or -5 5 3 $100 ANSWER FROM POTPOURRI D $200 QUESTION FROM POTPOURRI An integer is subtracted from its square. The result could be which of the following? a) b) c) d) e) A negative integer An odd integer A product of two even integers The product of two odd integers The product of two consecutive integers. $200 ANSWER FROM POTPOURRI E $300 QUESTION FROM POTPOURRI If x = a + b, then which of the following is equivalent to x? a) b) c) d) e) a + b + 2 ab a + b + 2ab a + b + ab a+b 2a + 2b $300 ANSWER FROM POTPOURRI A $400 QUESTION FROM POTPOURRI The numbers q, r, s, t and u are indicated in the number line above. Which of the following is the largest in value? a) b) c) d) e) qu rs qr qt u $400 ANSWER FROM POTPOURRI C $500 QUESTION FROM POTPOURRI Let f(x) = 4x – 3. If f(a) = 9 and f(b) = 5, then what is f(a + b)? a)5 b)7 c)14 d)16 e)17 $500 ANSWER FROM POTPOURRI E FINAL JEOPARDY In the figure above, AC is a diameter of the large circle and B lies on AC so that AB is a diameter of the small circle. If AB = 1 and BC = 2, what is the area of the shaded region? a) p 4 b) p c) 2p d) 9p 4 e) 9p FINAL JEOPARDY ANSWER C