Question 18 is based on the following figure. 18. The measures of the angles of a triangle are in the ratio 3:2:1. What is the measure of the largest angle of the triangle? a. 65° b. 70° c. 72° d. 80° e. 90° Question 19 is based on the following figure. 19. If m∠1 = 36° and m∠2 = 2(m∠3), then m∠3 equals a. 36°. b. 40°. c. 44°. d. 48°. e. Not enough information is given. 20. Ms. Klein bought 4 pounds of beef and 3 ᎏ 1 2 ᎏ pounds of chicken for $13.98. If the beef cost $2.76 per pound, what was the cost of the chicken per pound? a. $0.72 b. $0.80 c. $0.84 d. $0.87 e. $0.92 Question 21 is based on the following graph. Distribution of Expenses for Sales of $240,000 Ace Manufacturing Company 21. How many dollars were spent for labor? a. $4,800 b. $9,600 c. $48,000 d. $96,000 e. $960,000 22. The distance between two heavenly bodies is 63,150,000,000 miles. What is the number expressed in scientific notation? a. 631.5 × 10 8 b. 63.15 × 10 9 c. 6315 × 10 7 d. 6.315 × 10 10 e. 6.315 × 10 −10 Operating Expenses 20% Raw Materials 33 % Labor 40% Net Profit 6 % 1 2 3 CBA D E C B A ЄA:ЄB:ЄC = 3:2:1 – GED MATHEMATICS PRACTICE QUESTIONS– 430 Question 23 is based on the following graph. 23. What is the slope of the line passing through points A (5,4) and B (0,3)? a. ᎏ 1 1 0 ᎏ b. ᎏ 1 5 ᎏ c. ᎏ 3 5 ᎏ d. ᎏ 4 5 ᎏ e. 5 24. 1 kilometer = a. 10 meters b. 100 meters c. 1,000 centimeters d. 10,000 centimeters e. 1,000,000 millimeters Question 25 is based on the following figure. 25. To measure the distance (DC) across a pond, a surveyor takes points A and B so that AB ឈ is par- allel to DC ឈ .IfAB ឈ = 60 feet, EB ឈ = 48 feet, and ED ឈ = 80 feet, find DC ឈ . a. 72 ft. b. 84 ft. c. 96 ft. d. 100 ft. e. Not enough information is given. Question 26 is based on the following graph. 26. The graph shows what happens to each $100 taken in by a small business. How many dollars out of each $100 taken in represent profit? a. $5 b. $6 c. $7 d. $7.5 e. $8 27. Nick scored 7 more points than Josh in a basket- ball game. Paul scored 2 points less than Josh in the same game. If the three boys scored a total of 38 points, how many points did Josh score? a. 5 b. 9 c. 11 d. 14 e. 15 28. A box in the form of a rectangle solid has a square base 5 feet in length and a height of h feet. If the volume of the rectangular solid is 200 cubic feet, which of the following equations may be used to find h? a. 5h = 200 b. 5h 2 = 200 c. 25h = 200 d. h = 200 ÷ 5 e. h = 5(200) Profit ? Materials $40 Insurance $5 Misc. $6 Salaries $30 Taxes $11 60′ 48′ 80′ AB E CD 0 x y B (0,3) A (5,4) – GED MATHEMATICS PRACTICE QUESTIONS– 431 Question 29 is based on the following figure. 29. Which point on the number line represents the closest approximation to the square root of 12? a. A b. B c. C d. D e. E Question 30 is based on the following figure. 30. The diagram represents a large living room. What is the area, in square yards, of the room? a. 16.6 b. 33.3 c. 45 d. 50 e. 450 31. If 1 dollar is worth x French francs, what is the value, in dollars, of y French francs? a. xy b. ᎏ x y ᎏ c. ᎏ x y ᎏ d. ᎏ x 1 y ᎏ e. x + y 32. Evaluate y 2 (4x − y) if y = −2 and x = 8. a. −18 b. 18 c. 86 d. 96 e. 136 33. On a road map, ᎏ 1 4 ᎏ inch represents 8 miles of actual road distance. The towns of Alton and Waverly are represented by points 2 ᎏ 1 8 ᎏ inches apart on the map. What is the actual distance, in miles, between Alton and Waverly? a. 17 b. 32 c. 40 d. 60 e. 68 Question 34 is based on the following figure. 34. What is the area, in square graph units, of the triangle? a. 8 b. 10 c. 16 d. 32 e. 48 35. At a certain time of day, a man 6 feet tall casts a shadow 4 feet in length. At the same time, a church steeple casts a shadow 28 feet in length. How high, in feet, is the church steeple? a. 30 b. 32 c. 42 d. 48 e. 56 8 units 4 units 10′ 15′ 25′ 20′ 012 ACBED 345 – GED MATHEMATICS PRACTICE QUESTIONS– 432 Questions 36 through 38 are based on the following information. A 3-foot-wide walkway is built around a swimming pool that is 20 feet by 30 feet, as shown in the following figure. 36. In order to determine how much flagstone to buy, the homeowner needs to know the total area, in square feet, of the walkway. Which of the following expressions represents this area? a. (23)(33) b. (26)(36) c. (23)(33) − (20)(30) d. (26)(36) − (20)(30) e. (26)(36) − (23)(33) 37. If the depth of the pool is 6 feet, what volume of water, in cubic feet, is needed to fill the pool? a. 56 b. 300 c. 600 d. 3,000 e. 3,600 38. What is the total area, in square feet, of the pool and the walkway? a. 50 b. 62 c. 759 d. 936 e. Not enough information is given. 39. Evaluate (6 × 10 5 ) ÷ (4 × 10 3 ). a. 20 b. 100 c. 150 d. 1,500 e. 2,000 40. A house and a lot cost $120,000. If the house cost three times as much as the lot, how much did the house cost? a. $30,000 b. $40,000 c. $60,000 d. $90,000 e. $100,000 41. Joan borrowed $1,300 to buy tools for her job as an auto mechanic. The loan is for one year and six months at 9% simple interest. Which of the following expressions could be used to find the amount she will pay back at the end of the loan period? a. $1,300 × 1.5 × 0.09 b. $1,300 × 1.6 × 0.09 c. $1,300 × 1.5 × 9 d. $1,300 + ($1,300 × 9 × 1.5) e. $1,300 + ($1,300 × 0.09 × 1.5) 42. Norm borrows $8,000 for five years to make improvements to his home office. If the simple interest rate is 13%, how much will he pay in interest? a. $5,200 b. $4,000 c. $1,040 d. $420 e. $400 43. The solution x = −5 makes which of the follow- ing equations true? a. 14 − x = 9 b. ᎏ 5 x ᎏ = 1 c. x + 3 = 8 d. ᎏ 3 x 0 ᎏ = 6 e. 12x = −60 44. Marc had $572.18 in his checking account. After writing a check, he had $434.68. Which of the following equations could be used to find the amount of the check (c)? a. $572.18 + c = $434.68 b. $572.18 − c = $434.68 c. $572.18c = $434.68 d. $572.18 − 2c = $434.68 e. $434.68 + c = $572.18 3 ft. 30 ft. 20 ft. – GED MATHEMATICS PRACTICE QUESTIONS– 433 45. Ken earned x dollars at his part-time job on Fri- day. His wife earned $12 more than twice Ken’s pay (2x + 12). Together, they earned $174. How much did Ken earn on Friday? a. $54 b. $87 c. $108 d. $120 e. $162 46. Two adults and four children pay $48 to get into the fair. A child’s ticket is $6 less than an adult’s ticket. What is the cost of an adult’s ticket? a. $18 b. $15 c. $12 d. $9 e. $6 47. What is the median value of $268, $1,258, $654, $1,258, $900, $1,558, and $852? a. $1,258 b. $960 c. $900 d. $913 e. $852 48. What is the mode of the following: 14, 17, 14, 12, 13, 15, 22, and 11? a. 13.5 b. 14 c. 14.75 d. 16.5 e. Not enough information is given. 49. Charlie borrowed $1,500 from his aunt. He plans to pay his aunt back in nine months. If he pays 4% interest on the loan, what is the total amount he will pay back in nine months? a. $540 b. $1,455 c. $1,545 d. $1,560 e. $2,040 50. Max needs to ship six identical packages, each weighing 3 lb. 12 oz. What is the total weight of the shipment? a. 19 lb. 2 oz. b. 22 lb. 5 oz. c. 22 lb. 8 oz. d. 24 lb. 12 oz. e. 25 lb. 2 oz. 51. In a theater audience of 650 people, 80% were adults. How many children were in the audience? a. 130 b. 150 c. 450 d. 500 e. 520 52. On a certain map, 1 inch represents 60 miles. If two towns are 255 miles apart, what is the dis- tance, in inches, between the towns on the map? a. 4 b. 4 ᎏ 1 4 ᎏ c. 4 ᎏ 1 2 ᎏ d. 4 ᎏ 5 6 ᎏ e. 4 ᎏ 7 8 ᎏ 53. A carpenter has a board 4 feet 3 inches in length. He cuts off a piece 2 feet 8 inches in length. The length of the piece that is left is a. 1 ft. 5 in. b. 1 ft. 7 in. c. 2 ft. 7 in. d. 2 ft. 5 in. e. 2 ft. 3 in. 54. A cardboard crate is 5 feet long, 3 feet wide, and 2 feet tall. What is its holding capacity? a. 45 ft. 3 b. 37 ft. 3 c. 9 ft. 3 d. 30 ft. 3 e. 10 ft. 3 – GED MATHEMATICS PRACTICE QUESTIONS– 434 Questions 55 through 57 are based on the following graph. 55. How many gallons of paint were sold on Wednesday? a. 3 b. 4 c. 5 d. 6 e. 7 56. How much more paint was sold on Saturday than on Monday? a. 6 gallons b. 8 gallons c. 10 gallons d. 11 gallons e. 12 gallons 57. What was the total amount, in gallons, of paint sold by the store that week? a. 20 b. 25 c. 30 d. 60 e. Not enough information is given. Question 58 is based on the following figure. 58. O is the center of the circle, and the measure of ∠O is 70°. What is the measure of ∠OAB ? a. 55° b. 60° c. 70° d. 70° e. 75° 59. A bookcase has 3 large shelves and 4 small shelves. Each large shelf contains 8 more books than each small shelf. If the bookcase contains 297 books, how many books does each small shelf hold? a. 29 b. 31 c. 32 d. 35 e. 39 60. Ms. Kraus buys 40 feet of wool to use for scarves. How many scarves of 3 feet 4 inches each in length can she cut from this material, assuming each scarf is as wide as the original piece of fabric? a. 12 b. 15 c. 16 d. 18 e. 120 A B O 70° 20 Number of Gallons Days of the Week Paint Sales at Carolyn’s Hardware M T W Th F Sa Su 18 16 14 12 10 8 6 4 2 – GED MATHEMATICS PRACTICE QUESTIONS– 435 . end of the loan period? a. $1,300 × 1.5 × 0. 09 b. $1,300 × 1.6 × 0. 09 c. $1,300 × 1.5 × 9 d. $1,300 + ($1,300 × 9 × 1.5) e. $1,300 + ($1,300 × 0. 09 × 1.5) 42. Norm borrows $8,000 for five years. adult’s ticket? a. $18 b. $15 c. $12 d. $9 e. $6 47. What is the median value of $268, $1,258, $654, $1,258, $90 0, $1,558, and $852? a. $1,258 b. $96 0 c. $90 0 d. $91 3 e. $852 48. What is the mode of. $30 Taxes $11 60′ 48′ 80′ AB E CD 0 x y B (0,3) A (5,4) – GED MATHEMATICS PRACTICE QUESTIONS– 431 Question 29 is based on the following figure. 29. Which point on the number line represents the closest