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MATH COUNTS 

MATH COUNTS . 2003 School Competition Countdown Round. 1. What number tripled is half of 42?. Answer: 7. 2. A circular region of radius 2 units is completely inside a circular region of radius 5 units. What percent of the larger region is occupied by the smaller region?.

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MATH COUNTS 

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  1. MATHCOUNTS 2003 School Competition Countdown Round

  2. 1. What number tripled is half of 42?

  3. Answer: 7

  4. 2. A circular region of radius 2 units is completely inside a circular region of radius 5 units. What percent of the larger region is occupied by the smaller region?

  5. Answer: 16 (percent)

  6. 3. What is the least positive integer that can be added to 412 to yield a multiple of 3?

  7. Answer: 2

  8. 4. Eight U.S. coins are worth a total of 38 cents. How many of the coins are dimes?

  9. Answer: 2 (coins)

  10. 5. How much more is 34 than 43?

  11. Answer: 17

  12. 6. Compute: .

  13. Answer: 81

  14. 7. What is the greatest common factor of 40 and 48?

  15. Answer: 8

  16. 8. What is the sum of the number of faces, edges and vertices of a triangular prism?

  17. Answer: 20

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

  19. Answer: 8 (dimes)

  20. 10. Find the number of square units bounded by the x-axis, the y-axis and the line x + y = 6.

  21. Answer: 18 (square units)

  22. 11. What is the value of x when 43 + 62 = 10x ?

  23. Answer: 2

  24. 12. Fred has 2 yellow, 2 red and 2 green tokens. One red token is equivalent to 3 yellow tokens. One yellow token is equivalent to 3 green tokens. Fred converts all of his tokens to green tokens. How many green tokens does he have?

  25. Answer: 26 (tokens)

  26. 13. A right triangle has legs with lengths of 5 units and 12 units. How many units long is the hypotenuse?

  27. Answer: 13 (units)

  28. 14. Using only the digits 1 through 5, how many even three-digit positive integers less than 500 can be written if digits can be used more than once?

  29. Answer: 40 (integers)

  30. 15. The average of five numbers is 10.6. Four of the numbers are 10, 4, 5 and 20. What is the value of the fifth number?

  31. Answer: 14

  32. 16. In the figure shown, polygons ABCD, CDEF and DEGH are squares. The perimeter of hexagon ABFGHD is 40 cm. How many square centimeters are in the area of hexagon ABFGHD? E G F H C D B A

  33. Answer: 75 (square centimeters)

  34. 17. How many non-negative integers are less than 10 ?

  35. Answer: 32 (integers)

  36. 18. 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 of a mile?

  37. Answer: 90 (seconds)

  38. 19. What is the remainder when 5462 is divided by 9?

  39. Answer: 8

  40. 20. How many more boxes are needed if 70 ornaments are packaged in boxes of five rather than boxes of seven?

  41. Answer: 4 (boxes)

  42. 21. What common fraction is equivalent to 2.5%?

  43. Answer:

  44. 22. The perimeter of a rectangle is 32 cm. Its length is three times its width. How many centimeters are in the length of the rectangle?

  45. Answer: 12 (centimeters)

  46. 23. At which of the following stores is the average cost per pencil the least? Store A sells 17 pencils for $1.50, Store B sells 5 pencils for $0.85 and Store C sells 7 pencils for $1.20.

  47. Answer: (Store) A

  48. 24. In any month with a “Friday the Thirteenth,” what day of the week is the first day of the same month?

  49. Answer: Sunday

  50. 25. What is the maximum number of regions in the plane created by three distinct lines, no two of which are parallel?

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