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Jeopardy. 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 two-digit monotonic integers are there? 28
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Jeopardy 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 two-digit monotonic integers are there? • 28 • 32 • 36 • 40 • 44
$200 Question from Numbers & Operations • If p is a prime number, how many factors does p3 have? • One • Two • Three • Four • Five
$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?
$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?
$500 Question from Numbers & Operations • If p is a number, which of the following could also be a prime number? • p/2 • 2p • p2 • p + 2 • 2p - 2
$100 Question from Algebra & Functions • The table above defines several values of the linear function g. What is the value of a? • 31 • 33 • 35 • 37 • 41
$200 Question from Algebra & Functions • If what is the value of m? • 3 • 4 • 5 • 6 • 9
$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)? • 1.5 • 2 • 3 • 4 • 4.5
$400 Question from Algebra & Functions • If (x + 1)2 = 4 and (x – 1)2 = 16, what is the value of x? • -3 • -1 • 1 • 3 • 5
$500 Question from Algebra & Functions • 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? • -3 • -2 • c) • 2 • 3
$100 Question from Geometry & Measure In the figure shown, AB || CD and . What is the value of ? a) 65 b) 75 c) 80 d) 95 e) 115
$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?
$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?
$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? • 2π b) 2π+2 c) 4π d) 4π+1 e) 4π+2
$500 Question from Geometry & Measure In the figure above, AC = 7 and AB = BC. What is the smallest possible integer value of AB?
$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 , how many red turnips are in the basket?
$200 Question from Statistics & Probability According to the table shown, which of the movies was rated worst for adults? a) A b) B c) C d) D e) 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?
$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
$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?
$100 Question from Potpourri • If 3x2 = 75, then x = • -5 • b) • c) 5 • 5 or -5 • e)
$200 Question from Potpourri • An integer is subtracted from its square. The result could be which of the following? • A negative integer • An odd integer • A product of two even integers • The product of two odd integers • The product of two consecutive integers.
$300 Question from Potpourri • If then which of the following is equivalent to x? • a) • b) • c) • d) • e)
$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? • qu • rs • qr • qt • u
$500 Question from Potpourri • Let f(x) = 4x – 3. If f(a) = 9 and f(b) = 5, then what is f(a + b)? • 5 • 7 • 14 • 16 • 17
