12. If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take both Steve and Cheryl to tile the floor if they worked together? a. 2 hours 12 minutes b. 2 hours 24 minutes c. 3 hours d. 3 hours 12 minutes e. 10 hours 13. Given the area of the three squares, find the perimeter of ᭝ABC. a. 12 b. 12.5 c. 19.5 d. 20 e. 25 14. During a sale, the price of a pair of shoes is marked down 10% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes? a. 9% b. 10% c. 11% d. 15% e. 90% 9 16 25 A B C – QUANTITATIVE PRACTICE TEST– 373 15. How many degrees is the smaller angle? a. 44 b. 88 c. 92 d. 132 e. 180 16. If the average (arithmetic mean) of x, x + 2, and x + 4 is 33, what is the value of x? a. 30 b. 31 c. 32 d. 32 e. 37 17. If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what is the total cost of 125 posters? a. 25d + 100e b. 100d + 25e c. 125de d. d + 25e e. 18. If the volume of a cube is x 3 cubic units, what is the number of square units in the surface area of the cube? a. x 2 b. x 3 c. x 6 d. 6x 2 e. 6x 3 125 de 3x – 40 2x NOTE: FIGURE NOT DRAWN TO SCALE – QUANTITATIVE PRACTICE TEST– 374 19. If x – 3 is a multiple of two, what is the next larger multiple of two? a. 2x b. x – 2 c. x – 1 d. x – 5 e. x + 2 20. If 3 x + 1 = 81, then x – 1 = a. 2 b. 3 c. 4 d. 9 e. 27 21. For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal? a. x + y + z + 1 b. xyz + xz c. xy + z + 1 d. xyz + 1 e. xyz + ᎏ 1 2 ᎏ 22. If x $ y is defined as 2(x + y) 2 , then what is the value of 2 $ 3? a. 25 b. 36 c. 50 d. 100 e. 144 23. If x, y, and z are real numbers, which is always true? I. x(yz) = (xy)z II. III. z (x + y) = zx + zy a. I only b. II only c. I and II only d. I and III only e. I, II, and III x y ϭ y z – QUANTITATIVE PRACTICE TEST– 375 24. If y = 6 x , then 6y equals a. 6 x b. 6 x+1 c. 6 x + 6 d. 6x e. 6 x – 1 25. What is the smallest of six consecutive odd integers whose average (arithmetic mean) is x + 2? a. x – 5 b. x – 3 c. x – 1 d. x e. x + 1 26. The product of a and b is equal to 11 more than twice the sum of a and b.Ifb = 7, what is the value of b – a? a. 2 b. 5 c. 7 d. 24 e. 35 27. a. ͙ ෆ x b. 3͙ ෆ x c. x d. x 2 e. x 3 28. The instructions state that Cheryl needs ᎏ 4 9 ᎏ square yards of one type of material and ᎏ 2 3 ᎏ square yards of another type of material for a project. She buys exactly that amount. After finishing the project, how- ever, she has ᎏ 1 8 8 ᎏ square yards left that she did not use. What is the total amount of square yards of material Cheryl used? a. b. c. d. e. 2 1 9 1 1 9 2 3 1 9 1 12 c 3 212x2 2 d 3 ϭ – QUANTITATIVE PRACTICE TEST– 376 29. Which of the following values of x would satisfy the inequality x Ͼ 1? I. x = II. x = III. x = a. I only b. II only c. II and III only d. I and III only e. I, II, and III 30. John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam two years ago? a. 2 b. 4 c. 6 d. 8 e. 16 31. Given a spinner with four sections of equal size labeled A, B, C, and D, what is the probability of NOT getting an A after spinning the spinner two times? a. b. c. d. e. 32. A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1. What is the percent of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually? a. 9% b. 11% c. 15% d. 25% e. 90% 15 16 1 2 1 4 1 8 9 16 1 –1 3 2 –2 1 –4 3 2 2 1 1 2 2 3 – QUANTITATIVE PRACTICE TEST– 377 33. How many different committees can be formed from a group of two women and four men if three people are on the committee and at least one member must be a woman? a. 6 b. 8 c. 10 d. 12 e. 16 34. Susan spent one-third of her money on books and half of the remaining money on clothing. She then spent three-fourths of what she had left on food. She had $5 left over. How much money did she start with? a. $60 b. $80 c. $120 d. $160 e. $180 35. A truck travels 20 miles due north, 30 miles due east, and then 20 miles due north. How many miles is the truck from the starting point? a. 20.3 b. 70 c. 44.7 d. 50 e. 120 36. a. .20 b. .5 c. 2 d. 5 e. 20 1 1 2 2× 1 2 5 2 .04 ϭ – QUANTITATIVE PRACTICE TEST– 378 . 90% 9 16 25 A B C – QUANTITATIVE PRACTICE TEST– 373 15. How many degrees is the smaller angle? a. 44 b. 88 c. 92 d. 132 e. 180 16. If the average (arithmetic mean) of x, x + 2, and x + 4 is 33, what is the value. for a project. She buys exactly that amount. After finishing the project, how- ever, she has ᎏ 1 8 8 ᎏ square yards left that she did not use. What is the total amount of square yards of material. had left on food. She had $5 left over. How much money did she start with? a. $60 b. $80 c. $120 d. $160 e. $ 180 35. A truck travels 20 miles due north, 30 miles due east, and then 20 miles due