1. MATH COUNTS 2009 School Competition Countdown Round 

2. Please note that videotaping, photographing, reproducing or publishing the following questions or answers is strictly prohibited. A sample question follows that you are allowed to reproduce. MATH COUNTS 

3. A 3-ounce can of tomato sauce costs $1.68. In cents, what is the price per ounce? Sample Question

4. Answer: 56 (cents) Sample Question

5. MATH COUNTS 2009 School Competition Countdown Round 

6. 1. A regular hexagon can be divided into six equilateral triangles. If the perimeter of one of the triangles is 21 inches, what is the perimeter, in inches, of the regular hexagon?

7. Answer: 42 (inches)

9. Answer: 15

10. 3. Four standard six-sided dice are rolled. What is the probability that the product of the numbers on the top faces of all four dice is a prime number? Express your answer as a common fraction.

11. Answer:

12. 4. What is of 90?

13. Answer: 10

14. 5. Two-thirds of the students at Baker Middle School take music. There are 834 students who take music. How many students are there at Baker Middle School?

15. Answer: 1251 (students)

16. 6. The product of two positive integers is 36. The difference of the same two integers is 9. What is the value of the larger integer?

17. Answer: 12

18. 7. A square and four circles, each with a radius of 5 inches, are arranged as shown. What is the area, in square inches, of the square?

19. Answer: 400 (sq inches)

20. 8. What is the sum of 22 ones, 22 tens and 22 hundreds?

21. Answer: 2442

22. 9. When January 1st falls on a Thursday, on what day of the week is February 8th in the same year?

23. Answer: Sunday

24. 10. What is the largest sum that can be obtained when each of the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 is used exactly once to form 3 three-digit integers which are then added together?

25. Answer: 2556

26. 11. Ten consecutive integers between −9 and 9 are chosen. What is their product?

27. Answer: 0

29. Answer:

31. Answer: 27 (girls)

33. Answer: 125 (dollars)

35. Answer: 96 (combinations)

37. Answer: 44 (percent)

39. Answer: 97

41. Answer: 20,000 (dollars)

43. Answer: 1

45. Answer: 4

47. Answer: 5

49. Answer: 468 (seconds)

51. Answer: 9

53. Answer: 3.14

55. Answer: M

57. Answer: 20

59. Answer: 210

61. Answer:

63. Answer: 0

65. Answer: 7 (zeros)

67. Answer: 4

69. Answer: 30 (oranges)

71. Answer: 15 (committees)

73. Answer: 288

75. Answer: Fourth (quadrant), (quadrant) 4, or IV

77. Answer:

79. Answer: 17 (unit squares)

81. Answer: (units)

83. Answer: 40 (percent)

85. Answer:

87. Answer: 0

89. Answer: 19 (times)

91. Answer: 30 (degrees)

93. Answer:

95. Answer: 60 (dollars)

97. Answer: 6

99. Answer: 16 (pansies)

101. Answer: 12

103. Answer: 6

105. Answer: 8 (sq yards)

107. Answer: 1056

109. Answer: 18,107

111. Answer: 80 (degrees)

113. Answer: 9

115. Answer: 8 (inches)

117. Answer: 16 (pieces)

119. Answer: 120

121. Answer: 60 (inches)

123. Answer: 6 (jogs)

125. Answer: 121