1. Level One Countdown Round

2. Question 1 How many lines of symmetry does a square have?

3. Question 1 How many lines of symmetry does a square have? Answer: 4

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5. Question 2 What is the greatest common factor between the numbers 36 and 84?

6. Question 2 What is the greatest common factor between the numbers 36 and 84? Answer : 12

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8. Question 3 Find the mode of this data set: {2,4,9,2,65,3,1,6}

9. Question 3 Find the mode of this data set: {2,4,9,2,65,3,1,6} Answer : 2

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11. Question 4 What is the least common multiple between 12 and 24?

12. Question 4 What is the least common multiple between 12 and 24? Answer : 24

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14. Question 5 A car drives 60 mph for 5 hours, but on the return trip, only drives 40mph. What is the car’s average speed?

15. Question 5 A car drives 60 mph for 5 hours, but on the return trip, only drives 40mph. What is the car’s average speed? Answer : 48 mph

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17. Question 6 If I roll a fair standard six sided die, what is the probability that I get a prime number?

18. Question 6 If I roll a fair standard six sided die, what is the probability that I get a prime number? Answer : ½

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20. Question 7 What is the product of the prime numbers that are less than 10?

21. Question 7 What is the product of the prime numbers that are less than 10? Answer : 210

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23. Question 8 What is the probability of flipping two coins and getting both heads?.

24. Question 8 What is the probability of flipping two coins and getting both heads?. Answer : ¼

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26. Question 9 What is the 16th digit after the decimal point in the repeating decimal 0.47314731...?

27. Question 9 What is the 16th digit after the decimal point in the repeating decimal 0.47314731...? Answer : 1

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29. Question 10 A regular pentagon has side length 5. What is its perimeter?

30. Question 10 A regular pentagon has side length 5. What is its perimeter? Answer : 25

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32. Question 11 Right now it is 5:34 PM. In 49 hours and 42 minutes, what time is it? Include AM/PM in your answer.

33. Question 11 Right now it is 5:34 PM. In 49 hours and 42 minutes, what time is it? Include AM/PM in your answer. Answer : 7:16 pm

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35. Question 12 There is a right triangle with legs 5 and 12. What is the length of its hypotenuse?

36. Question 12 There is a right triangle with legs 5 and 12. What is the length of its hypotenuse? Answer : 13

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38. Question 13 What is the sum of the exterior angles of a square?

39. Question 13 What is the sum of the exterior angles of a square? Answer : 360 degrees

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41. Question 14 I throw a stack of 5 cards labeled ‘A’, ‘B’, ‘C’, ‘D’, and ‘E’ on the ground. I randomly pick them up. What is the probability that I pick them up in alphabetical order?

42. Question 14

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44. Question 15 What number is the largest even prime number?

45. Question 15 What number is the largest even prime number? Answer : 2

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47. Question 16 How many factors does 100 have?

48. Question 16 How many factors does 100 have? Answer : 9 factors

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50. Question 17 How many prime numbers are there between 50 and 60?

51. Question 17 How many prime numbers are there between 50 and 60? Answer : 2 prime numbers

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53. Question 18 How many ways are there to choose two people to be president and vice president out of a group of 10 people?

54. Question 18 How many ways are there to choose two people to be president and vice president out of a group of 10 people? Answer : 90 ways

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56. Question 19 Today is a Monday, what day of the week is it 1982 days from now?

57. Question 19 Today is a Monday, what day of the week is it 1982 days from now? Answer : Tuesday

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59. Question 20 What is the sum of the first 5 prime numbers?

60. Question 20 What is the sum of the first 5 prime numbers? Answer : 28

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62. Question 21 How many distinct factors does 99 have?

63. Question 21 How many distinct factors does 99 have? Answer : 6 factors

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65. Question 22 What is the area of a triangle with side length 6,8, and 10?

66. Question 22 What is the area of a triangle with side length 6,8, and 10? Answer : 24

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68. Question 23 A perfect number is a number whose factors sum to itself. The first perfect number is 6, as 1 plus 2 plus 3 is 6. What perfect number lies between 25 and 30?

69. Question 23 A perfect number is a number whose factors sum to itself. The first perfect number is 6, as 1 plus 2 plus 3 is 6. What perfect number lies between 25 and 30? Answer : 28

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71. Question 24 How many degrees does the minute hand of a clock move cover 50 minutes?

72. Question 24 How many degrees does the minute hand of a clock move cover 50 minutes? Answer : 300 degrees

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74. Question 25 Lewis can write 8 songs every day. For a week he writes songs. On the 3rd night of that week, Lewis gets sick and can only write 4 songs a day for the rest of the days in the week. How many songs did he produce over that week?

75. Question 25 Lewis can write 8 songs every day. For a week he writes songs. On the 3rd night of that week, Lewis gets sick and can only write 4 songs a day for the rest of the days in the week. How many songs did he produce over that week? Answer : 40 songs

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77. Question 26

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80. Question 27 What is the sum of the interior angles in a hexagon?

81. Question 27 What is the sum of the interior angles in a hexagon? Answer : 720 degrees

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83. Question 28 What is the cube root of 8?

84. Question 28 What is the cube root of 8? Answer : 2

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86. Question 29 Evaluate: 1 7 × 2 5 × 3 3

87. Question 29 Evaluate: 1 7 × 2 5 × 3 3 Answer : 864

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89. Question 30 If = −0.5 and = −0.75, what is the value of 2 − 4?

90. Question 30 If = −0.5 and = −0.75, what is the value of 2 − 4? Answer : 2

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92. Question 31 What is the largest prime number that divides 120?

93. Question 31 What is the largest prime number that divides 120? Answer : 5

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95. Question 32 Steven can write a math problem in two minutes and Matthew can write two problems in three minutes. How many more problems does Matthew write than Steven in half an hour?

96. Question 32 Steven can write a math problem in two minutes and Matthew can write two problems in three minutes. How many more problems does Matthew write than Steven in half an hour? Answer : 5 more problems

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98. Question 33 The two digit number ( and represent digits) is divisible by 2, 3, 4, 5, and 6. What is the value of + ?

99. Question 33 The two digit number ( and represent digits) is divisible by 2, 3, 4, 5, and 6. What is the value of + ? Answer : 6

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101. Question 34 How many positive factors do 24 and 32 have in common?

102. Question 34 How many positive factors do 24 and 32 have in common? Answer : 4 factors

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104. Question 35

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107. Question 36 What is the height of the trapezoid with base lengths of 5 and 7 and an area of 24?

108. Question 36 What is the height of the trapezoid with base lengths of 5 and 7 and an area of 24? Answer : 4

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110. Question 37 What is the sum of the first 5 squares, starting with 1?

111. Question 37 What is the sum of the first 5 squares, starting with 1? Answer : 55

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113. Question 38 There are 40 blue and 60 red balls in a basket. If Steven selects one ball from this basket, what is the probability that the ball will be red?

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116. Question 39 What is the product of the least common multiple and the greatest common factor of 25 and 78?

117. Question 39 What is the product of the least common multiple and the greatest common factor of 25 and 78? Answer : 1950

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119. Question 40 Find the surface area of a rectangular prism with width = 6, length = 5, and height = 10.

120. Question 40 Find the surface area of a rectangular prism with width = 6, length = 5, and height = 10. Answer : 280

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122. Question 41 Steven and Matthew each flipped a coin. What is the probability that Steven will get heads, and Matthew, tails?

123. Question 41 Steven and Matthew each flipped a coin. What is the probability that Steven will get heads, and Matthew, tails? Answer : ¼

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125. Question 42 Steven bought a mechanical pencil using a $5 bill and received a change of $1.25. Irving bought a pen using three $1 bills and received a change of $0.75. How much more does the mechanical pen cost than the pen?

126. Question 42 Steven bought a mechanical pencil using a $5 bill and received a change of $1.25. Irving bought a pen using three $1 bills and received a change of $0.75. How much more does the mechanical pen cost than the pen? Answer : $1.50

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128. Question 43 How many integers between 5 and 25 are multiples of 2 or 3, but not both?

129. Question 43 How many integers between 5 and 25 are multiples of 2 or 3, but not both? Answer : 9

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131. Question 44 100 participants are shaking hands with each other. If only one handshake can occur per two participants, what is the total number of handshakes that can occur?

132. Question 44 100 participants are shaking hands with each other. If only one handshake can occur per two participants, what is the total number of handshakes that can occur? Answer : 4950 handshakes

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134. Question 45 What is the largest two-digit integer that is a multiple of 7?

135. Question 45 What is the largest two-digit integer that is a multiple of 7? Answer : 98

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137. Question 46 What is the smallest prime number greater than 40?

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140. Question 47 What is the sum of the positive integer factors of 8?

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143. Question 48 How many prime numbers are less than 12?

144. Question 48 How many prime numbers are less than 12? Answer : 5

145. The End