15. What is the perimeter of a pentagon with three sides of 3 inches, and the remaining sides 5 inches long? a. 19 inches b. 14 inches c. 12 inches d. 9 inches 16. What is the result of multiplying 11 by 0.032? a. 0.032 b. 0.0352 c. 0.32 d. 0.352 17. If a school buys three computers at a, b, and c dollars each, and the school gets a discount of 90%, which expression would determine the average price paid by the school? a. 0.9 ϫ ᎏ (a + 3 b + c) ᎏ b. ᎏ (a + 0 b .9 + c) ᎏ c. (a + b + c) ϫ 0.9 d. ᎏ (a +3 3 b + c) ᎏ Question 18 is based on the following diagram. 18. If the two triangles in the diagram are similar, with angle A equal to angle D, what is the perimeter of triangle DEF? a. 12 b. 21 c. 22.5 d. 24.75 19. Roger wants to know if he has enough money to purchase several items. He needs three heads of lettuce, which cost $.99 each, and two boxes of cereal, which cost $3.49 each. He uses the expres- sion (3 ϫ $0.99) + (2 ϫ $3.49) to calculate how much the items will cost. Which of the following expressions could also be used? a. 3 ϫ ($3.49 + $.99) – $3.49 b. 3 ϫ ($3.49 + $.99) c. (2 + 3) ϫ ($3.49 + $.99) d. (2 ϫ 3) + ($3.49 ϫ $.99) 20. Rosa finds the average of her three most recent golf scores by using the following expression, where a, b, and c are the three scores: ᎏ (a + 3 b + c) ᎏ ϫ 100. Which of the following would also deter- mine the average of her scores? a. ( ᎏ 3 a ᎏ + ᎏ 3 b ᎏ + ᎏ 3 c ᎏ ) ϫ 100 b. c. (a + b + c) ϫ ᎏ 1 3 00 ᎏ d. ᎏ (a ϫ 3 b ϫ c) ᎏ + 100 21. What is ᎏ 2 3 ᎏ divided by ᎏ 1 5 2 ᎏ ? a. ᎏ 1 5 3 ᎏ b. ᎏ 1 1 5 8 ᎏ c. ᎏ 1 3 7 6 ᎏ d. ᎏ 1 6 5 ᎏ 22. A 15-serving recipe of a casserole must be increased by 20%. What is the new serving size? a. 17 servings b. 18 servings c. 20 servings d. 30 servings a + b + c ᎏ ᎏ 10 3 0 ᎏ 2 4 3 A B CF E D 5 – THEA PRACTICE EXAM 3– 255 23. City High School basketball coach Donna Green earns $26,000 a year. If she receives a 4.5% salary increase, how much will she earn? a. $26,110 b. $26,450 c. $27,170 d. $27,260 24. In the Pinebrook school district last year, 220 students were vaccinated for measles, mumps, and rubella. Of those, 60% reported that they had the flu at some time in their lives. How many students had not had the flu previously? a. 36 b. 55 c. 88 d. 126 25. Of the 1,125 teachers in a study of bilingual edu- cation, 135 speak fluent Spanish. What percent- age of the group of teachers in the study speaks fluent Spanish? a. 12% b. 7.3% c. 8.3% d. 9.3% – THEA PRACTICE EXAM 3– 256 MAJOR CAUSES OF HOME FIRES IN THE PREVIOUS 4-YEAR PERIOD CAUSE FIRES (% OF TOTAL) CIVILIAN DEATHS (% OF TOTAL) Heating equipment 161,500 (27.5%) 770 (16.8%) Cooking equipment 104,800 (17.8%) 350 (7.7%) Incendiary, suspicious 65,400 (11.1%) 620 (13.6%) Electrical equipment 45,700 (7.8%) 440 (9.6%) Other equipment 43,000 (7.3%) 240 (5.3%) Smoking materials 39,300 (6.7%) 1,320 (28.9%) Appliances, air conditioning 36,200 (6.2%) 120 (2.7%) Exposure and other heat 28,600 (4.8%) 191 (4.2%) Open flame 27,200 (4.6%) 130 (2.9%) Child play 26,900 (4.6%) 370 (8.1%) Natural causes 9,200 (1.6%) 10 (0.2%) Questions 26 and 27 are based on the following diagram. 26. What is the percentage of the total fires caused by electrical equipment and other equipment combined? a. 7.8% b. 14.9% c. 15.1% d. 29.9% 27. Of the following causes, which one has the high- est ratio of total fires to percentage of deaths? a. heating equipment b. smoking materials c. exposure and other heat d. child play 28. The snack machine in the teachers’ lounge accepts only quarters. Candy bars cost 25¢, pack- ages of peanuts cost 75¢, and cans of cola cost 50¢. How many quarters are needed to buy two candy bars, one package of peanuts, and one can of cola? a. 8 b. 7 c. 6 d. 5 29. All of the rooms on the top floor of a govern- ment building are rectangular, with 8-foot ceil- ings. One room is 9 feet wide by 11 feet long. What is the combined area of the four walls, including doors and windows? a. 99 square feet b. 160 square feet c. 320 square feet d. 72 square feet 30. A child has a temperature of 40° C. What is the child’s temperature in degrees Fahrenheit? F = ᎏ 9 5 ᎏ C + 32. a. 101° F b. 102° F c. 103° F d. 104° F 31. Mr. Tupper is purchasing gifts for his family. He stops to consider what else he has to buy. A quick mental inventory of his shopping bag so far reveals the following: 1 cashmere sweater valued at $260 3 diamond bracelets, each valued at $365 1 computer game valued at $78 1 cameo brooch valued at $130 Later, having coffee in the Food Court, he sud- denly remembers that he has purchased only 2 diamond bracelets, not 3, and that the cashmere sweater was on sale for $245. What is the total value of the gifts Mr. Tupper has purchased so far? a. $1,198 b. $1,183 c. $975 d. $833 Question 32 is based on the following table. SURVEY REGARDING READING HABITS BOOKS PER MONTH PERCENTAGE 013 1–3 27 4–6 32 >6 28 32. A recent survey polled 2,500 people about their reading habits. The results are shown in the table above. According to the table, how many people surveyed had read books in the last month? a. 700 b. 1,800 c. 1,825 d. 2,175 – THEA PRACTICE EXAM 3– 257 Questions 33 and 34 are based on the following list of ingredients needed to make 16 brownies. Deluxe Brownies ᎏ 2 3 ᎏ cup butter 5 squares (1 ounce each) unsweetened chocolate 1 ᎏ 1 2 ᎏ cups sugar 2 teaspoons vanilla 2 eggs 1 cup flour 33. How much sugar is needed to make 8 brownies? a. ᎏ 3 4 ᎏ cup b. 3 cups c. ᎏ 2 3 ᎏ cup d. ᎏ 5 8 ᎏ cup 34. What is the greatest number of brownies that can be made if the baker has only 1 cup of butter? a. 12 b. 16 c. 24 d. 28 35. One lap on a particular outdoor track measures a quarter of a mile around. To run a total of three and a half miles, how many complete laps must a person complete? a. 14 b. 18 c. 10 d. 7 36. On Monday, a kindergarten class uses 2 ᎏ 1 4 ᎏ pounds of modeling clay the first hour, 4 ᎏ 5 8 ᎏ pounds of modeling clay the second hour, and ᎏ 1 2 ᎏ pound of modeling clay the third hour. How many pounds of clay does the class use during the three hours on Monday? a. 6 ᎏ 3 8 ᎏ b. 6 ᎏ 7 8 ᎏ c. 7 ᎏ 1 4 ᎏ d. 7 ᎏ 3 8 ᎏ 37. A floor plan is drawn to scale so that one quarter inch represents 2 feet. If a hall on the plan is 4 inches long, how long will the actual hall be when it is built? a. 12 feet b. 18 feet c. 24 feet d. 32 feet 38. Student track team members have to buy run- ning shoes at the full price of $84.50, but those who were also team members last term get a 15% discount. Those who have been team members for at least three terms get an additional 10% off the discounted price. How much does a student who has been a track team member at least three terms have to pay for shoes? a. $63.38 b. $64.65 c. $65.78 d. $71.83 – THEA PRACTICE EXAM 3– 258 Question 39 is based on the following diagram. 39. In the diagram above, lines a, b and c intersect at point O. Which of the following are NOT adja- cent angles? a. Є1 and Є6 b. Є1 and Є4 c. Є4 and Є5 d. Є2 and Є3 40. There are 176 men and 24 women in the local chess club. What percentage of the members is women? a. 6% b. 12% c. 14% d. 16% 41. The basal metabolic rate (BMR) is the rate at which our body uses calories. The BMR for a man in his twenties is about 1,700 calories per day. If 204 of those calories should come from protein, about what percent of this man’s diet should be protein? a. 1.2% b. 8.3% c. 12% d. 16% 42. The condition Down syndrome occurs in about 1 in 1,500 children when the mothers are in their twenties. About what percent of all children born to mothers in their twenties are likely to have Down syndrome? a. 0.0067% b. 0.067% c. 0.67% d. 6.7% 43. If a population of cells grows from 10 to 320 in a period of 5 hours, what is the rate of growth? a. It doubles its numbers every half hour. b. It doubles its numbers every hour. c. It triples its numbers every hour. d. It doubles its numbers every two hours. 44. A certain water pollutant is unsafe at a level of 20 ppm (parts per million). A city’s water supply now contains 50 ppm of this pollutant. What percentage of improvement will make the water safe? a. 30% b. 40% c. 50% d. 60% 45. An insurance policy pays 80% of the first $20,000 of a certain patient’s medical expenses, 60% of the next $40,000, and 40% of the $40,000 after that. If the patient’s total medical bill is $92,000, how much will the policy pay? a. $36,800 b. $49,600 c. $52,800 d. $73,600 b a 6 1 23 O 4 5 c – THEA PRACTICE EXAM 3– 259 Question 46 is based on the following diagram. 46. If you take recyclables to whichever recycler will pay the most, what is the greatest amount of money you could get for 2,200 pounds of alu- minum, 1,400 pounds of cardboard, 3,100 pounds of glass, and 900 pounds of plastic? a. $409 b. $440 c. $447 d. $485 Question 47 is based on the following diagram. BRAND W X Y Z PRICE 0.21 0.48 0.56 0.96 WEIGHT 6 152032 IN OUNCES 47. Which of the brands listed on the table is the least expensive? a. W b. X c. Y d. Z 48. To lower a fever of 105°, ice packs are applied for 1 minute and then removed for 5 minutes before being applied again. Each application lowers the fever by half a degree. How long will it take to lower the fever to 99°? a. 36 minutes b. 1 hour c. 1 hour and 12 minutes d. 1 hour and 15 minutes Section 3: Writing (Part A— Multiple-Choice) Questions 1–3 are based on the following passage. (1) As soon as she sat down on the airplane, Rachel almost began to regret telling the travel agent that she wanted an exotic and romantic vacation; after sifting through a stack of brochures, the agent and her decided the most exotic vacation she could afford was a week in Rio. (2) As the plane hurtled toward Rio de Janeiro, she read the information on Carnival that was in the pocket of the seat in front of hers. (3) The very definition made her shiver: “from the Latin carnavale, meaning a farewell to the flesh.” (4) She was searching for excitement, but had no intention of bidding her skin good-bye. (5) “Carni- val,” the brochure informed her, originated in Europe in the Middle Ages and served as a break from the requirements of daily life and society. (6) Most of all, it allowed the hard-working and des- perately poor serfs the opportunity to ridicule their wealthy and normally humorless masters.” (7) Rachel, a middle manager in a computer firm, wasn’t entirely sure whether she was a serf or a master. (8) Should she be making fun, or would others be mocking her? (9) She was strangely relieved when the plane landed, as though her fate were decided. 1. Which of the following changes needs to be made to the above passage? a. Part 6: Italicize serfs. b. Part 2: Insert the before Carnival. c. Part 5: Change Middle Ages to middle ages. d. Part 9: Change were to was. – THEA PRACTICE EXAM 3– 260 RECYCLER ALUMINUM CARDBOARD GLASS PLASTIC X ᎏ po .0 u 6 nd ᎏᎏ po .0 u 3 nd ᎏᎏ po .0 u 8 nd ᎏᎏ po .0 u 2 nd ᎏ Y ᎏ po .0 u 7 nd ᎏᎏ po .0 u 4 nd ᎏᎏ po .0 u 7 nd ᎏᎏ po .0 u 3 nd ᎏ . alu- minum, 1 ,40 0 pounds of cardboard, 3,100 pounds of glass, and 900 pounds of plastic? a. $40 9 b. $44 0 c. $44 7 d. $48 5 Question 47 is based on the following diagram. BRAND W X Y Z PRICE 0.21 0 .48 0.56. and Є6 b. Є1 and 4 c. 4 and Є5 d. Є2 and Є3 40 . There are 176 men and 24 women in the local chess club. What percentage of the members is women? a. 6% b. 12% c. 14% d. 16% 41 . The basal metabolic. (2.7%) Exposure and other heat 28,600 (4. 8%) 191 (4. 2%) Open flame 27,200 (4. 6%) 130 (2.9%) Child play 26,900 (4. 6%) 370 (8.1%) Natural causes 9,200 (1.6%) 10 (0.2%) Questions 26 and 27 are based on