1. MATH COUNTS 2008 State 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 2008 State Competition Countdown Round 

6. 1. The distribution of populations in a group of counties is shown in this pie chart. What percent of the counties have fewer than 100,000 residents? Distribution of County Populations

7. Answer: 83 (percent)

9. Answer: 8

10. 3. The two figures shown are made of unit squares. What is the positive difference of the perimeters, in units?

11. Answer: 4 (units)

12. 4. If 9 wazzits can be purchased for $1.80, what is the cost of 18 wazzits?

13. Answer: 3.60 or 3 dollars, 60 cents

14. 5. What is the measure of angle 4 if m 1 = 76°, m 2 = 27° and m 3 = 17°?

15. Answer: 120 (degrees)

16. 6. The graph of the equation x + 2 y + 3 = 0 is perpendicular to the graph of the equation ax + 2 y + 3 = 0. What is the value of a ?

17. Answer: –4

18. 7. A triangle has sides measuring 1 unit and 3 units. The length of the third side is an integer value of units. What is the length of the third side, in units?

19. Answer: 3 (units)

20. 8. A worm has to climb a barrier 19 feet high. It climbs 8 feet every day and slips down 5 feet every night. Starting from the bottom of the barrier on Sunday morning, on which day of the week will the worm reach the top of the barrier?

21. Answer: Thursday

22. 9. If 2 x = 5 y and 7 y = 10 z , what is the value of expressed as a common fraction?

23. Answer:

24. 10. How many fifteen-minute appointments can a doctor fit into her schedule if she works from 8:30 am to noon and from 1 pm to 4:30 pm?

25. Answer: 28 (appointments)

26. 11. If j and k are inversely proportional and j = 16 when k = 21, what is the value of j when k = 14?

27. Answer: 24

29. Answer: 1

31. Answer: 7 (volumes)

33. Answer: 0 (dollars)

35. Answer: 160 (pounds)

37. Answer: 7 (erasers)

39. Answer: 6 (integers)

41. Answer: 7

43. Answer: 10

45. Answer: 6

47. Answer: 29 (solutions)

49. Answer:

51. Answer: 4 y 2

53. Answer: 61

55. Answer: (units)

57. Answer: 6 (integers)

59. Answer: 8.5 (units)

61. Answer: 118 (degrees)

63. Answer: 23.40 or 23 dollars, 40 cents

65. Answer: 20 (lines)

67. Answer: 29 (inches)

69. Answer: 1152 (cups)

71. Answer: 4

73. Answer: 900

75. Answer: 6

77. Answer: 84 (sq inches)

79. Answer: 121

81. Answer: 60 (seconds)

83. Answer: (Word) 11

85. Answer: 45 (sandwiches)

87. Answer: 24 (units)

89. Answer: 2 (units)

91. Answer: 5372

93. Answer:

95. Answer: 9

97. Answer: (centimeters)

99. Answer: 24

101. Answer: 16 (centimeters)

103. Answer: 8

105. Answer:

107. Answer: 5

109. Answer: 400

111. Answer:

113. Answer: 16 (rectangles)

115. Answer: 15

117. Answer: 85 (cents)

119. Answer: 36 (arrangements)

121. Answer: 33

123. Answer: 70 (miles per hour)

125. Answer: –37

127. Answer: 47

129. Answer: –10

131. Answer: 22

133. Answer: 72.9 (percent)

135. Answer:

137. Answer: 6

139. Answer: 0

141. Answer: 72 (degrees)

143. Answer: m + n or n + m (integers)

145. Answer: (gallons)

147. Answer: 9

149. Answer: 125

151. Answer: 252 π (cubic units)

153. Answer: 36

155. Answer: – 125

157. Answer: –14

159. Answer: 6

161. Answer: 300

163. Answer: 16

165. Answer: