2. JEOPARDY Numbers & Operations Algebra & Functions Geometry & Measure Statistics & Probability Potpourri Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy

3. $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? a)28 b)32 c)36 d)40 e)44

4. $100 ANSWER FROM NUMBERS & OPERATIONS C

5. $200 QUESTION FROM NUMBERS & OPERATIONS If p is a prime number, how many factors does p 3 have? a)One b)Two c)Three d)Four e)Five

6. $200 ANSWER FROM NUMBERS & OPERATIONS D

7. $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 16 th term in the sequence?

8. $300 ANSWER FROM NUMBERS & OPERATIONS 113

9. $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?

10. $400 ANSWER FROM NUMBERS & OPERATIONS 60

11. $500 QUESTION FROM NUMBERS & OPERATIONS If p is a number, which of the following could also be a prime number? a) p/2 b)2p c) p 2 d) p + 2 e)2p - 2

12. $500 ANSWER FROM NUMBERS & OPERATIONS D

13. $100 QUESTION FROM ALGEBRA & FUNCTIONS The table above defines several values of the linear function g. What is the value of a? a)31 b)33 c)35 d)37 e)41 x 123456 g(x) 3111927a43

14. $100 ANSWER FROM ALGEBRA & FUNCTIONS C

15. $200 QUESTION FROM ALGEBRA & FUNCTIONS If what is the value of m? a)3 b)4 c)5 d)6 e)9

16. $200 ANSWER FROM ALGEBRA & FUNCTIONS C

17. $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)1.5 b)2 c)3 d)4 e)4.5

18. $300 ANSWER FROM ALGEBRA & FUNCTIONS C

19. $400 QUESTION FROM ALGEBRA & FUNCTIONS If (x + 1) 2 = 4 and (x – 1) 2 = 16, what is the value of x? a)-3 b)-1 c) 1 d) 3 e) 5

20. $400 ANSWER FROM ALGEBRA & FUNCTIONS A

21. $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? a)-3 b)-2 c) d) 2 e) 3 t 012 N(t) 128162

22. $500 ANSWER FROM ALGEBRA & FUNCTIONS E

23. $100 QUESTION FROM GEOMETRY & MEASURE In the figure shown, AB || CD and. What is the value of ? a) 65b) 75c) 80 d) 95 e) 115

24. $100 ANSWER FROM GEOMETRY & MEASURE B

25. $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?

26. $200 ANSWER FROM GEOMETRY & MEASURE 18

27. $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?

28. $300 ANSWER FROM GEOMETRY & MEASURE 4

29. $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)2πb) 2π+2c) 4π d) 4π+1 e) 4π+2

30. $400 ANSWER FROM GEOMETRY & MEASURE E

31. $500 QUESTION FROM GEOMETRY & MEASURE In the figure above, AC = 7 and AB = BC. What is the smallest possible integer value of AB?

32. $500 ANSWER FROM GEOMETRY & MEASURE 4

33. $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?

34. $100 ANSWER FROM STATISTICS & PROBABILITY 20

35. $200 QUESTION FROM STATISTICS & PROBABILITY Movie Rating Chart MovieAdult RatingChildren Rating A31 B24 C34 D42 E11 Worse1 2 3 4 Best5 According to the table shown, which of the movies was rated worst for adults? a) A b) B c) Cd) D e) E

36. $200 ANSWER FROM STATISTICS & PROBABILITY E

37. $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?

38. $300 ANSWER FROM STATISTICS & PROBABILITY

39. $400 QUESTION FROM STATISTICS & PROBABILITY According to the graphs above, how many seniors are enrolled at Taft High School? a) 375b) 525 c) 750 d) 1500 e) 2125

40. $400 ANSWER FROM STATISTICS & PROBABILITY A

41. $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?

42. $500 ANSWER FROM STATISTICS & PROBABILITY

43. $100 QUESTION FROM POTPOURRI If 3x 2 = 75, then x = a)-5 b) c) 5 d)5 or -5 e)

44. $100 ANSWER FROM POTPOURRI D

45. $200 QUESTION FROM POTPOURRI An integer is subtracted from its square. The result could be which of the following? a)A negative integer b)An odd integer c)A product of two even integers d)The product of two odd integers e)The product of two consecutive integers.

46. $200 ANSWER FROM POTPOURRI E

47. $300 QUESTION FROM POTPOURRI If then which of the following is equivalent to x? a) b) c) d) e)

48. $300 ANSWER FROM POTPOURRI A

49. $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)qu b)rs c)qr d)qt e) u

50. $400 ANSWER FROM POTPOURRI C

51. $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

52. $500 ANSWER FROM POTPOURRI E

53. 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) b) c) d) e)

54. FINAL JEOPARDY ANSWER C