1. MATH COUNTS 2008 Chapter Competition Countdown Round 

2. 1. The forecasted maximum wind speeds, in mph, for the next five days are 13, 6, 10, 5 and 8. What is the range of the wind speeds, in miles per hour?

3. Answer: 8 (miles per hour)

5. Answer: 6

6. 3. A segment with endpoints at A(2,  2) and B(14, 4) is extended through B to point C. If BC = ( )AB, what are the coordinates for point C? Express your answer as an ordered pair.

7. Answer: (18, 6)

8. 4. If a snack-size tin of peaches has 40 calories and is 2% of a person’s daily caloric requirement, how many calories fulfill a person’s daily caloric requirement?

9. Answer: 2000 (calories)

10. 5. If Ellen chooses a day of the week at random, what is the probability that its English spelling uses the letter “n”? Express your answer as a common fraction.

11. Answer:

12. 6. A catalogue sells pencils two ways: (1) 50 cents each and (2) $2 per pack of 12. What is the least expensive purchase price for exactly 30 pencils?

13. Answer: 7 or 7.00 (dollars)

14. 7. The five highest kick return averages, in yards, in the NFL’s history were 25.0, 24.3, 24.1, 23.8 and 23.4. What is the median of these five averages? Express your answer as a decimal to the nearest tenth.

15. Answer: 24.1 (yards)

16. 8. How many 4-inch by 4-inch squares can be cut from a rectangular piece of leather measuring 4 feet by two-thirds of a yard?

17. Answer: 72 (squares)

18. 9. The product of three consecutive integers is 720. What is the largest of these integers?

19. Answer: 10

20. 10. Margo walks to her friend’s house in 10 minutes. Using the same route, it takes Margo 20 minutes to get back home. If her average walking rate for the entire trip is 4 miles per hour, how many total miles did she walk?

21. Answer: 2 (miles)

22. 11. Adjacent sides of Figure 1 are perpendicular. Four sides of Figure 1 are removed to form Figure 2. What is the total length, in units, of the segments in Figure 2?

23. Answer: 19 (units)

25. Answer: 6 (rectangles)

27. Answer: 48 (square units)

29. Answer: 6 (values)

31. Answer: 16 (square units)

33. Answer: 83 (unit cubes)

35. Answer: 9

37. Answer: 8

39. Answer: 2500 (miles per hour)

41. Answer: 432 or 432.00 (dollars)

43. Answer: 135 (minutes)

45. Answer: 21

47. Answer: 7

49. Answer: 2

51. Answer: 1.1

53. Answer:

55. Answer: 60 (square units)

57. Answer: 75 or 75.00 (dollars)

59. Answer: (0,5)

61. Answer: 2 (square inches)

63. Answer: 20 (cents)

65. Answer: 120 (minutes)

67. Answer:

69. Answer: 240 (pounds)

71. Answer:

73. Answer: 49 (feet)

75. Answer:

77. Answer: 78 (percent)

79. Answer: 49

81. Answer: 4 (grapes)

83. Answer: -41

85. Answer: (square units)

87. Answer: 6

89. Answer:

91. Answer: 48 (endpoints)

93. Answer: (units)

95. Answer: 5.5 (inches)

97. Answer: 34

99. Answer: 60 (units)

101. Answer: 448

103. Answer: 1

105. Answer: 13 (square inches)

107. Answer: 50 (cents)

109. Answer: 22.5 (degrees)

111. Answer: 40

113. Answer: 400 (percent)

115. Answer: 286 (integers)

117. Answer: 23 (feet)

119. Answer: 15

121. Answer: 28 (units)

123. Answer: 10 (quarters)

125. Answer: 3

127. Answer: 70 or 70.00 dollars

129. Answer: 2

131. Answer: 4 (sums)

133. Answer: 27,500

135. Answer: 281 (seconds)

137. Answer: 720 (degrees)

139. Answer: 12 (miles per hour)

141. Answer: 6

143. Answer: 3

145. Answer: 700 (square feet)

147. Answer: 12

149. Answer: 216

151. Answer: 153

153. Answer: 2

155. Answer: 14.7

157. Answer: 2

159. Answer: 8 (miles per hour)

161. Answer: 15 (units)