1. A 15-foot ladder is leaning against a 30-foot wall. The bottom end of the ladder is 9 feet from the wall. How many feet above the ground does the ladder touch the wall?

A) 1.7 B) 6 C) 12 D) 17.5 E) 144

2. What is the probability that, by guessing at random, one can correctly guess the month of birth of a stranger?

A) 1/12 B) 1/9 C) 1/6 D) 1/4 E) 1/3

3. Mrs. Falbo bought 9 adult tickets and 5 children’s tickets for the recital. The total she paid was $67. Mrs. Ustinov bought 7 adult tickets and paid $38.50. How much does each type of ticket cost?

A) adult = $7.44; children’s = $13.40 B) adult = $5.50; children’s = $3.50

C) adult = $6.59; children’s = $7.70 D) adult = $3.50; children’s = $5.50

E) adult = $13.40; children’s = $47.44

4. The graph above represents a time analysis of Ray's eight-hour workday. Based on the graph, approximately how many hours does Ray spend observing other employees?

A) 1.2

B) 1.7

C) 2.0

D) 2.4

E) 3.0

Use the following information for Question 5

On a certain compact disc, three songs have the following playing times: Song A: 4 minutes and 56 secondsSong B: 2 minutes and 30 secondsSong C: 10 minutes and 16 seconds

5. What is the average playing time of these three songs?

A) 5 minutes and 8 seconds B) 5 minutes and 54 seconds C) 6 minutes

D) 6 minutes and 7 seconds E) 17 minutes and 42 seconds

6. The drawing above shows CD parallel to AB. If AB = 4 miles, BP = 3 miles, and CP = 6 miles, how many miles is it from C to D?

A) 4.0 B) 4.5 C) 5.0 D) 6.5 E) 8

Use the following information to answer question 7

Karen is joining a book club. To join, she must buy two books, and then she will get one free book. The following are the prices for the 8 books being offered: A. $29.50 E. $16.25B. $25.00 F. $19.98C. $18.00 G. $49.00D. $39.50 H. $17.98

7. Karen wants to select her books with the maximum dollar value and yet pay as little as possible. What three books should she select?

A) A, C, D B) A, B, G C) C, E, H D) E, F, G E) E, G, H

8. One of the first electronic computers was in the shape of a huge box. It was 96 feet long and 2.5 feet wide. The amount of space inside was approximately 3,000 cubic feet. How many feet high was the computer?

A) 1.25 B) 12.50 C) 27.60 D) 125.00 E) 276.00

9. The perimeter of a square flower bed is 100 feet. What is the area of the flower bed in square feet?

A) 25 B) 100 C) 400 D) 625 E) There is not enough information to solve the problem.

10. Armando is a barber. He gets 40% of what each of his customers is charged. If the customer leaves a tip, Armando gets 100% of the tip. How much does Armando earn on an $8.50 haircut if the customer tips him $1.30?

A) $9.80 B) $6.40 C) $5.30 D) $4.70 E) $3.92

11. In the figure above, <RXT measures 90˚. Which other angle(s) is a complement of <a?

A) <b only B) <d only C) <c only D) <c and <d

E) <e and <c

12. A string of Christmas tree lights has 15 lights. One of the lights does not work. What is the probability that the defective light is the third one from the plug?

A) 1/15 B) 1/14 C) 1/5 D) 12/15 E) 14/15

13. Simplify 6(k – 3) – 5(k + 2).

A) k + 20 B) k – 1 C) k – 13 D) k – 16 E) k – 28

14. Lisa spends 1/4 of her earnings on rent and 1/5 of her earnings on food. Let m stand for her monthly earnings in dollars. Which of the following expressions represents the number of dollars Lisa has left at the end of the month after paying rent and buying food?

A) m – m/4 – m/5 B) m – 1/4 – 1/5 C) m(1/4 – 1/5) D) 1/5 (m – m/4)E) 1/5 (m – m/5)

15. The four babies born at the local hospital on New Year’s Day had weights of 5 pounds 7 ounces, 6 pounds 4 ounces, 6 pounds 12 ounces, and 7 pounds 2 ounces. What was the median weight of the babies?

A) 6 pounds 4 ounces B) 6 pounds 8 ounces C) 6 pounds 10 ounces

D) 6 pounds 14 ounces E) 6 pounds 15 ounces

16. Samantha is buying ground beef for her club’s picnic. They will make 76 hamburgers; each hamburger will contain 5 ounces of meat. Which of the following expressions can Samantha use to find out how many pounds of ground beef she must buy?

A) 5 x 76 B) 5 + 76 C) 5 x 76 x 16

D) (5 x 76) ÷ 16 E) 76(5 + 16)

17. What are the factors of 6x – 6?

A) (3x – 2)(2x + 3) B) 6(x – 1) C) (2x – 3)(3x + 2)

D) (6x + 1)( x – 1) E) 6(x + 1)

18. In ∆ABC above, how many degrees are in <B?

A) 42˚ B) 48˚ C) 58˚ D) 138˚ E) 180˚

19. If Mark purchased x t-shirts at $6 apiece, and y sweaters at $20 apiece, which expression represents the total value of the purchases?

A: 6x - 20y B: 6x + 20y C: 20x - 3y D: 20x + 3y

20. Solve: 4 - (-5 +8) = A: 15 B: 10 C: 1 D: 3

21. Matt scored 8 more points than Ted in the basketball game, and their scores together made up a quarter of the team's total scoring, which was 112. Which equation represents this scenario?

A: 4(8 + x) = 112 B: 4(2x + 8) = 112 C: 112/4 = 8 + x D: x = 112/(4 x 8)

22. Simplify: 8x + 19x - 6y - (-y) A: 27x -5y B: 27x - 7y C: 11x -5y D: 11x + 7y

23. Simplify: -3(x + 2x2 + 3x) A: 12x - 6x2 B: -3x + 2x2 - 6x C: -18x2 D: -12x - 6x2

24. If Janet buys 6 dresses at 15% off the normal price x, which expression represents how much she has saved?

A: 15(6x) B: .15 (6x) C: 1.5(6x) D: .159x(6)

25. Simplify: 7x3 + 5y2 - 4y2 + 2x A: 9x4 +1 B: 9x4 + y4 C: 9x2 + y2 D: 7x3 + y2 +2x

26. Solve: (3x + 9)/2 = 9 A: 3 B: 4 C: 2 D: 10

27. What is the value of 20x - 3y2 if x = 2 and y = 3? A: 45 B: 48 C: 15 D: 13

28. Simplify: 4(x + x2 + 3x2 - 6x) A: -20x + 16x2 B: 24x +16x2 C: 20x + 16x2 D: -4x2

29. How many 36-passenger buses will it take to carry 144 people?

 A. 3.  B. 4.  C. 5.  D. 6.

30. It costs $0.50 per square yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15'x24'?

 A. $6.67.  B. $18.00 .  C. $20.00.  D. $180.00.

31. If X + 6 = 7, then X is equal to

 A. -1.  B. 0.  C. 1.  D. 7/6.

32. What is the area of this square?

Ý

A. 1 square foot. B. 5 square feet. C. 10 square feet.  D. 25 square feet.

33. A father is making spaghetti for his daughter. The recipe on the box says to add 0.75 grams of salt to the water for 500 grams of spaghetti. However, the man only wants to make 125 grams of spaghetti. How much salt should he add to the water?

A. 0.75 grams B. 0.38 grams C. 0.25 grams D. 0.19 grams E. 0.15 grams

34. A computer supplies store sold $19,304.56 in goods during the month of May. If the cost of the products was $5,284.34, the cost to rent the space was $2,920.99, and employees were paid a total of 8,384.76, what was the store's total profit during the month of May?

A. $2,714.47 B. $5,635.46 C. $10,919.80 D. $14,020.22 E. $16,383.57

35. A woman is catering a wedding and trying to determine how much wine she will need. The marrying couple is always given two liters of wine to share. Each guest is given 0.20 liters of wine. If y represents the total amount of wine needed in liters, and x represents the number of guests, which of the following equations should the caterer use to calculate how many liters of wine she will need?

A. y = 2x + 0.20 B. y = 0.20x + 2 C. y = 2.20x D. x = 0.20y2 E. x = 0.20y + 2

36. Bonnie invested $5,000 in a high interest savings account at the beginning of 1998. She earns 4% interest each year. At the end of 1998, after her interest for the year was awarded, what was Bonnie's new balance?

A. $5,020 B. $5,110 C. $5,200 D. $6,400 E. $7,000

37. Bill bought basketball shoes that were on sale for 20% off. The sale price was $31.20. What was the regular price of the shoes?

A) $24.96 B) $37.44 C) $39.00 D) $39.98 E) $51.20

38. While Hugh was driving to work, he noticed a sign in a store window that said he could save $120 on a color TV that was specially discounted 20%. What was the original price of the set?

A) $900 B) $600 C) $480 D) $360 E) Not enough information is given.

39. Mrs. Harper took out a 2-year loan for $300 at an interest rate of 8% per year. How much did she have to pay in interest at the end of the two years?

A) $348 B) $324 C) $174 D) $48 E) $24

40. At a manufacturing plant, 15 percent of the workers belong to the company HMO. If the plant has 300 employees, how many DO NOT belong to the HMO?

A) 15 B) 45 C) 60 D) 255 E) 285

41. Which of the following could be the measures of the three angles of a triangle?

A) 20°, 40°, and 110° B) 20°, 40°, and 130° C) 30°, 50°, and 90° D)

30°, 50°, and 100° E) 40°, 40°, and 110°

41. In the diagram, what is the measure of angle x?

A) 30°

B) 60°

C) 90°

D) 120°

E) Not enough information is given.

A radio antenna is constructed from three metal rods: AB, CD, and EF. A wire connects the ends of the rods at BCF and at ADE at right angles.

42.

If rod EF is 6 centimeters long, how many centimeters long is rod AB?

A) 6 centimeters

B) 12 centimeters

C) 18 centimeters

D) 24 centimeters

E) Not enough information is given.

To find the height of a building, Oscar stuck the end of a 4 ½-foot stick 6 inches straight into the ground. He measured the shadow of the stick and found it was 1 foot long. Oscar then measured the building’s shadow and found it was 16 feet long.

43. How many feet tall is the building?

A) 32 feet B) 64 feet C) 72 feet D) 128 feet E) 256 feet

44. How many feet from the building was the stick?

A) 8 B) 24 C) 192 D) 200 E) Not enough information is given.

45. A square piece of cloth is cut from a larger square as in the figure above. The corners of the smaller square are the midpoints of the sides of the larger square. How much cloth, in square centimeters, is left over?

A) 16 B) 32 C) 64 D) 128 E) Not enough information if given.