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MATH COUNTS

MATH COUNTS . . Countdown Round. 1. Half of 12 is equal to what number?. Answer: 6. 2. What is the smallest positive integer that can be added to 100 to make a multiple of 3?. Answer: 2. 3. Five U.S. coins are worth a total of 35 cents. How many of the coins are dimes?.

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MATH COUNTS

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  1. MATHCOUNTS  Countdown Round

  2. 1. Half of 12 is equal to what number?

  3. Answer: 6

  4. 2. What is the smallest positive integer that can be added to 100 to make a multiple of 3?

  5. Answer: 2

  6. 3. Five U.S. coins are worth a total of 35 cents. How many of the coins are dimes?

  7. Answer: 2 coins

  8. 4. How much more than 42 is 33?

  9. Answer: 11

  10. 5. What is the greatest common factor of 40 and 48?

  11. Answer: 8

  12. 6. What is the sum of the number of faces and edges of a triangular prism?

  13. Answer: 14

  14. 7. The value of eight nickels and six dimes is the same as four nickels and how many dimes?

  15. Answer: 8 dimes

  16. 8. Fred has 2 yellow, 2 red and 2 green tokens. One red token is equal to 9 green tokens. One yellow token is equal to 3 green tokens. Fred converts all of his tokens to green tokens. How many green tokens does he have?

  17. Answer: 26 tokens

  18. 9. If the last two digits of 9567 were interchanged, how much larger would the new number be?

  19. Answer: 9

  20. 10. The average of five numbers is 10. Four of the numbers are 10, 10, 10 and 9. What is the value of the fifth number?

  21. Answer: 11

  22. 11. In the figure shown, polygons ABCD, CDEF and DEGH are squares. The length of segment FG is 10 cm. How many square centimeters are in the area of hexagon ABFGHD? E G F H C D B A

  23. Answer: 75 square centimeters

  24. 12. How many positive integers are less than 10p?

  25. Answer: 31 integers

  26. 13. In training, Petra runs of a mile in 60 seconds. At this rate, how many seconds does it take Petra to complete a run of 1 mile?

  27. Answer: 360 seconds

  28. 14. What is the remainder when 4697 is divided by 9?

  29. Answer: 8

  30. 15. How many more boxes are needed if 70 ornaments are packaged in boxes that each hold 5 ornaments rather than boxes that each hold 7 ornaments?

  31. Answer: 4 boxes

  32. 16. What reduced fraction is equivalent to 25%?

  33. Answer:

  34. 22. The area of a square is 49 square centimeters. How many centimeters are in the length of a side of the square?

  35. Answer: 7 centimeters

  36. 17. At which of the following stores is the average cost per pencil the least? Store A: 17 pencils for $1.70 Store B: 7 pencils for $1.40 Store C: 5 pencils for $0.85

  37. Answer: Store A

  38. 18. In any month with a “Friday the 13th,” what day of the week is the first day of the same month?

  39. Answer: Sunday

  40. 19. Each side of pentagon ABCDE has length less than or equal to 7 units, AB = 5 units and BC = 4 units. How many units are in the greatest possible perimeter of ABCDE?

  41. Answer: 30 units

  42. 20. Two figures each have a perimeter of 80 feet. One is a square and one is a rectangle with dimensions of 10 feet by 30 feet. What is the positive difference in the number of square feet of their areas?

  43. Answer: 100 square feet

  44. 21. What is the greatest integer less than ?

  45. Answer: 5

  46. 22. Using two distinct members of the set {0, 1, 2, 3}, how many different sums can be found?

  47. Answer: 5 sums

  48. 23. How many integers between 20 and 90 are perfect squares?

  49. Answer: 5 integers

  50. 24. What is the greatest two-digit multiple of 4?

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