1. MATH COUNTS 2009 Chapter 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 Chapter Competition Countdown Round 

6. 1. What is the units digit when 5 4 is multiplied out?

7. Answer: 5

9. Answer: 9

10. 3. The complement of angle M is 10 degrees. What is the measure, in degrees, of angle M?

11. Answer: 80 (degrees)

12. 4. Stephen has four blue socks and six gray socks in a drawer. What is the least number of socks he must select, at random, to guarantee having at least two socks of the same color?

13. Answer: 3 (socks)

14. 5. In the land of Ink, the money system is unique. One Trinket is equal to 4 Blinkets, and 3 Blinkets are equal to 7 Drinkets. In Trinkets, what is the value of 56 Drinkets?

15. Answer: 6 (Trinkets)

16. 6. An integer is tripled, then divided by 2 and then reduced by 1. If the result is 11, what was the original integer?

17. Answer: 8

18. 7. The acute angles of a particular isosceles trapezoid each measure 40 degrees. What is the measure, in degrees, of each obtuse angle in the trapezoid?

19. Answer: 140 (degrees)

20. 8. How many distinct prime factors does 56 have?

21. Answer: 2 (factors)

22. 9. The quotient of two positive integers is and their product is 160. What is the value of the larger of the two integers?

23. Answer: 20

24. 10. During a year when Thanksgiving is on Thursday, November 23, on what day of the week does December 23 occur?

25. Answer: Saturday

26. 11. A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the sum of the measures of the two acute angles. What is the common measure of the large angles, in degrees?

27. Answer: 135 (degrees)

29. Answer: 11

31. Answer: 24 (stamps)

33. Answer:

35. Answer: 0

37. Answer: 70 (chickens)

39. Answer: 8 (girls)

41. Answer: 240 (sq units)

43. Answer: 17 (free throws)

45. Answer: 20 (minutes)

47. Answer: 5 (diagonals)

49. Answer: 8

51. Answer: 5 (units)

53. Answer: 8

55. Answer: 4000 or 4000.00 (dollars)

57. Answer: 2 (factors)

59. Answer: 15,554

61. Answer: 10 (cu inches)

63. Answer: 30 (workers)

65. Answer: 3 (integers)

67. Answer: 20 (times)

69. Answer: 5 (percent)

71. Answer: (3, -3)

73. Answer: 31

75. Answer: 200 (sq inches)

77. Answer:

79. Answer:

81. Answer: 0

83. Answer: 20

85. Answer: 84 (outfits)

87. Answer: 19

89. Answer: 9

91. Answer: 36 (degrees)

93. Answer: 13 (rooms)

95. Answer: 112 (beeps)

97. Answer: 16 π (sq units)

99. Answer: 61

101. Answer: 15

103. Answer: 30 (minutes)

105. Answer: 69 (points)

107. Answer: 49 π (sq feet)

109. Answer: 15

111. Answer: 168

113. Answer: 100

115. Answer: 36 (stickers)

117. Answer: 6 (centimeters)

119. Answer:

121. Answer: 6 (integers)

123. Answer: 17 (nickels)

125. Answer: 5

127. Answer: 78 (inches)

129. Answer: 72,000 (miles)

131. Answer: 987,436

133. Answer: 81 (cubic feet)

135. Answer: 9

137. Answer: 24 (sides)

139. Answer: 13.5

141. Answer: 144 (students)

143. Answer: 240

145. Answer: 12

147. Answer: 36 (sq centimeters)

149. Answer: 204 (digits)

151. Answer: 6

153. Answer: 21 (days)

155. Answer: 84 (degrees)

157. Answer: 39

159. Answer: 2010

161. Answer: 33 (percent)

163. Answer: 14

165. Answer: 20 (cu feet)