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9 3 X 9 X (D) 9 X 2 (E) 3 X 2

A circle has a radius of R and an area of X. In terms of X , what is the area of a circle with radius 3 R?. 9 3 X 9 X (D) 9 X 2 (E) 3 X 2.

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9 3 X 9 X (D) 9 X 2 (E) 3 X 2

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  1. A circle has a radius of R and an area of X. In terms of X, what is the area of a circle with radius 3R? • 9 • 3X • 9X • (D) 9X2 • (E) 3X2

  2. 19 What is the freight charge for transporting seven drums of motor oil weighing 165 pounds each, if the charge is 50 cents per pound? • (A) $95.60 (B) $255.63 • $361.25 (D) 484.80 • (E) $577.50

  3. A vertical antennae tower is supported by a wire that runs from the top of the tower to the ground. If the wire makes an angle of 62° with the ground and is 575 yards long, how tall is the tower? (A)(B)(C)(D)(E) 575 cos 62° 575 sin 62° 575 tan 62°

  4. The volume of a rectangular carton with a square base is 36 cubic feet. If the height of the carton is 24 inches, how many feet are there on each side of the base? (A)(B)(C)(D)(E)

  5. An investment of $7,000 earns $800 each year. At the same rate, how much must be invested to earn $1,200 a year? (A)(B)(C)(D)(E) $7,800 $10,500 $10,700 $11,500 $11,700

  6. If the angles of a given triangle are in a ratio of 2 : 3 : 4. What type of triangle is it? (A)(B)(C)(D)(E) equilateral isosceles right obtuse acute

  7. If 2x + 5y = 12, then 6x + 15y = (A)(B)(C)(D)(E) 18 24 36 42 Cannot be determined

  8. The value of an investment after one year was $24,000. The increase in value during the year was $6,000. What was the percent of increase in the value of the investment? (A)(B)(C)(D)(E) 12.5% 25% 33.3% 50% 66.7%

  9. Of the 200 members of a club, 30% are women, and of these ¼ are new members. If the number of men that are new members is three times the number of women that are new members, how many men are new members? (A)(B)(C)(D)(E) 10 15 30 25 45

  10. Of the 200 members of a club, 30% are women, and of these ¼ are new members. If the number of men that are new members is three times the number of women that are new members, how many men are new members? (A)(B)(C)(D)(E) 10 15 30 25 45

  11. What is the area of the parallelogram shown? (A) (B) (C) (D) (E) 6 30° 12

  12. (A)(B)(C)(D)(E) Mr. Tower takes 8 hours to drive from New York City to Buffalo. What fractional part of the drive still remains after he has driven x hours?

  13. The value of an investment after one year was $24,000. The increase in value during the year was $6,000. What was the percent of increase in the value of the investment? (A)(B)(C)(D)(E) 12.5% 25% 33.3% 50% 66.7%

  14. 18 24 36 42 Cannot be determined (A)(B)(C)(D)(E)

  15. Find the value of x if DE | | AC D E 40 75 x A B C (A) 20 (B) 35 (C) 52.5 (D) 60 (E) 65

  16. Perform the indicated operation and express the result in lowest terms. • (B) • (C) • (D) • (E)

  17. 208 • (B) 200 • 32 • 10 • 2

  18. Express 0.005 as a percent • 0.5% • (B) 0.05% • 0.005% • 0.0005% • 0.00005%

  19. If the radius of a circle is quadrupled, then • The circumference and area are both quadrupled. • The circumference is quadrupled and the area is multiplied by 8. • The circumference is quadrupled and the area is multiplied by 16. • The circumference is multiplied by 16 and the area is multiplied by 32. • The circumference and the area are both multiplied by 16.

  20. If , then a possible value of x is • 110 • (B) 52 • -5 • -52 • -110

  21. A coin purse contains 7 pennies, 4 nickels, and 5 dimes. If one coin is removed from the purse at random, what is the probability that the coin is either a dime or a penny? • 5/8. • 2/6 • 2/3 • (D) 11/16 • (E) 3/4

  22. (B)

  23. P 3 Q 7 R In the right triangle PQR below, what is the value of cos Q?

  24. Which of the following fractions is the largest? (A)(B)(C)(D)(E)

  25. A secretary is paid time and a half for working overtime. Last week, he earned $297 for working 9 hours of overtime. What is his regular hourly salary? (A) $12 (B) $18(C) $22 (D) $26(E) $33

  26. A used fax machine is purchased for $225. This was 45% of the machine’s original price. What was the machine’s original price? • $200 (B) $300 (C) $400 • (D) $500 (E) $620.32

  27. (A)(B)(C)(D)(E)

  28. What is the area, in square inches, of the figure shown below? (A) 18(B) 30(C) 36(D) 44(E) 60 8 inches 5 inches 3 inches 12 inches

  29. B C E 60° D 80° A

  30. 40° x° 65°

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