1 / 161

MATH COUNTS 

MATH COUNTS . 2002 State Competition Countdown Round. 1. What is the slope of the line determined by any two solutions to the equation ? Express your answer as a common fraction. Answer: . 2. How many different prime factors does 20! have?. Answer: 8 (factors).

phelan-mcmillan
Download Presentation

MATH COUNTS 

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MATHCOUNTS 2002 State Competition Countdown Round

  2. 1. What is the slope of the line determined by any two solutions to the equation ? Express your answer as a common fraction.

  3. Answer:

  4. 2. How many different prime factors does 20! have?

  5. Answer: 8 (factors)

  6. 3. Murphy’s sells notebooks at a cost of five for $2, Right-Ade sells six for $3 and Callahan’s sells twelve for $5. What is the number of cents in the cost per notebook for the least expensive store?

  7. Answer: 40 (cents)

  8. 4. Compute:

  9. Answer:

  10. 5. A rectangle has an area of 100 square units. Its dimensions are whole units. What is the number of units in the greatest possible perimeter?

  11. Answer: 202 (units)

  12. 6. What is the sum of the roots of 2x2 + 1 = 3x ? Express your answer as a common fraction.

  13. Answer:

  14. 7. The circumference of a circle increases from 20 cm to 30 cm. By how many centimeters will the radius increase?

  15. Answer: 5 (centimeters)

  16. 8. is similar to . What is the number of centimeters in the length of ? Express your answer as a decimal to the nearest tenth. B 8cm 5cm E C A 3cm F D

  17. Answer: 4.8 (centimeters)

  18. 9. Warren buys limes at a cost of three for 50¢. He then sells them at a price of five for 90¢. How many limes must he sell to make a total profit of $2?

  19. Answer: 150 (limes)

  20. 10. Solve for x:

  21. Answer:

  22. 11. What is the length of the diagonal of a square with side length cm? Express your answer in simplest form.

  23. Answer: 100 (centimeters)

  24. 12. One leg of a right triangle is 12 inches, and the measure of the angle opposite that leg is 30°. What is the number of inches in the hypotenuse of the triangle?

  25. Answer: 24 (inches)

  26. 13. Compute: 25 (1999 + 2000 + 2001 + 2002).

  27. Answer: 200,050

  28. 14. How many squares of area 4 square units have all four vertices on the points in the 6 x 6 grid of points below? 5 units 5 units

  29. Answer: 16 (squares)

  30. 15. For what integer n is

  31. Answer: 6

  32. 16. If 3% of 400 is equal to 5n + 2, then what is the value of n ?

  33. Answer: 2

  34. 17. Determine the area in square units of parallelogram ABCD with vertices A (-6, 2), B (12, 2), C (15, 8) and D (-3, 8).

  35. Answer: 108 (square units)

  36. 18. Determine the sum of all single-digit replacements for n such that the number 42,789,n37 is divisible by 3.

  37. Answer: 15

  38. 19. A large cube is made from unit cubes. The large cube’s faces are then painted, and the unit cubes are separated. Twenty-seven unit cubes have no faces painted. How many unit cubes were used to make the large cube?

  39. Answer: 125 (unit cubes)

  40. 20. Lola had 7 bags. Each bag contained 7 mice. Each mouse had 7 pieces of cheese. How many pieces of cheese were in all of Lola’s bags combined?

  41. Answer: 343 (pieces)

  42. 21. How many different integers can be written as the sum of two distinct members of the set {1, 3, 5, 7, 9, 11, 13}?

  43. Answer: 11 (integers)

  44. 22. For what value of b is the set { } equal to the set {4, 5, 6}?

  45. Answer: 4

  46. 23. Kristin has 5 different pairs of earrings. What is the probability that two randomly-selected earrings will be a matching pair? Express your answer as a common fraction.

  47. Answer:

  48. 24. The digits 2, 3, 5 and 7 are arranged randomly to form a four-digit number. What is the probability that the number is odd? Express your answer as a common fraction.

  49. Answer:

  50. 25. How many miles will a race car travel in 90 seconds at a rate of 80 miles per hour?

More Related