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1. When the bicyclists had traveled for 6 hours, how many miles FARTHER had A gone than B?

2. Fiona had written checks totaling $2157 but had only $1843 in her checking account. To cover the balance, she transferred money from her savings account, which held $3145.

If Fiona transferred exactly enough money to cover the checks she had written, how much money remained in her savings account after the transfer?

$2831

$2471

$1529

$1302

$ 988

3. CORRECT TEXT

A line has a slope of1/2and passes through the point (-4,1). Part of the line is shown below.

What is the location of the point where the line intersects the y-axis? Click on the grid to mark your answer. If you want to change your answer, click on another location in the grid.

4. Anna hired Byron to refloor a 15-foot by 20-foot rectangular room. Farley hired Byron to refloor a 12-foot by 25-foot rectangular room.

If both paid the cost for transporting the materials, how much MORE did Byron charge Farley than Anna?

$250

$200

$100

$ 50

$ 0

5. Trapezoid ABCD is shown in the diagram below.

Which of the following words best describes the relationship between side AB and side DC?

equal

perpendicular

intersecting

skewed

parallel

6. The base and sides of the roof of an A-frame structure are all 30 feet long. A front view of the structure is shown in the diagram below.

What is the approximate height (h), in feet, of the structure?

7. CORRECT TEXT

What is the location of the point where the line intersects the y-axis? Click on the grid to mark your answer. If you want to change your answer, click on another location in the grid.

8. A team set a goal of winning 70 percent of the 40 games it would play. Of the first 10 games the team played, it won only 4.

How many of the REMAINING games must the team win to reach its original goal?

9. Which of the following represents the PERIMETER of the rectangle?

13x

26x

8x2

40x2

10. The highway patrol uses the following formula to estimate the speed (s), in miles per hour, at which a car was traveling if the car skidded d feet before stopping after the brakes were applied:

The variable f relates to the friction of the road surface. The following table estimates ffor certain types of road surfaces and conditions.

If a car skids 80 feet on wet gravel, what is the approximate speed, in miles per hour, at which the car was traveling?

43.8

31.4

22.6

15.5

10.4

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11. Which investment lost money?

Not enough information is given.

12. If a, b, and c are three different numbers, and a minus b equals c, which of the following statements must be true?

b = ac

a = bc

b = a - c

a = b - c

a = c - b

13. Last month Wanda had Plan D and used 20 minutes of long distance during the month. This month she has the same plan but called 50 minutes of long distance during the month.

How much MORE was her long-distance charge this month than last month?

$0.00

$0.50

$1.00

$1.50

$2.00

14. Elena screens all candidates for a position in her company. The candidates have exactly1 3/4 hours to complete the screening exercise.

If the exercise begins at 140 p.m., at what time must Elena tell the candidates their time has ended?

25 p.m.

55 p.m.

15 p.m.

20 p.m.

25 p.m.

15. How many hours does it take to empty the generator’s gasoline tank?

16. For which two investments was the same amount of money initially invested?

B and C

B and D

A and B

A and C

A and D

17. CORRECT TEXT

Alice’s belt rack contains 1 red, 3 black, 4 brown, and 2 blue belts.

If she were to randomly select one belt from the rack, what is the probability that it would be black?

A)

Option A

Option B

Option C

Option D

Option E

18. If a helicopter flies at an average speed of 80 kilometers per hour, approximately how long will it take to travel 650 kilometers?

5 to 6 hours

6 to 7 hours

7 to 8 hours

8 to 9 hours

9 to 10 hours

19. If a skydiver with mass m, in kilograms, jumps from a plane, the maximum speed she will attain in free-fall (v), in meters per second, is given by the formula

Approximately what is the maximum speed, in meters per second, of a skydiver weighing 60 kilograms?

6.3

7.7

39.2

48.5

2352.0

20. Shortly after the tank was filled to capacity, a leak was discovered. By the time the hole was repaired, the level of the liquid had dropped 2 meters.

What portion of the original liquid REMAINED after the leak was repaired?

1/10

1/5

2/5

1/2

4/5

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21. What is the measure, in degrees, of angle D?

37°

53°

143°

153°

Not enough information is given.

22. What is the ratio of the percent of sales from sporting goods to the percent of sales from stationery?

23. The cost to hire Mighty Mo Movers to deliver goods is based on the following formula:

C = 0.1w + 2.75d + 50

C is the total cost in dollars; w is the weight of the goods in pounds; and d is the distance in miles that the goods are delivered.

The Kales are moving to a new house that is 40 miles from their present home. They have budgeted $500 for their move.

What is the maximum weight of goods, in pounds, that the Kales can afford to hire Mighty Mo Movers to deliver and still stay within their budget?

340

390

3400

3900

6600

24. Eli has a net (after-tax) monthly income of $2000. Each month, he takes his check to the bank, deposits most into his three accounts, and receives some cash for miscellaneous expenses.

The money is distributed as shown in the table below.

Approximately what percent of Eli’s GROSS (before-tax) monthly income is deposited into his two savings accounts?

2.5%

5.0%

7.5%

10.0%

Not enough information is given.

25. CORRECT TEXT

For a plant to grow to a height of 40 centimeters, how many MORE weeks did it take using fertilizer B than using fertilizer A?

26. City Commuter Airplane Service is considering the purchase of another airplane for its fleet.

The cruising speeds of the two choices are shown in the graph below.

In minutes, how much LONGER would it take plane B to travel 300 miles than it would take plane A to travel the same distance?

27. In what year was the frog population the greatest?

1997

1998

1999

2000

2001

28. If the interest is compounded continuously, which of the following is the best estimate of the worth of each $1.00 invested for 3 years at 6.75%?

1.0725

1.1801

1.1841

1.2245

1.3231

29. How many MORE small boxes than large boxes can be purchased for $6?

30. CORRECT TEXT

To convert Celsius temperature to Fahrenheit temperature, the following procedure is used:

Multiply Celsius degrees by 9, divide by 5, then add 32.

If a temperature reading is 40° Celsius, what is the equivalent temperature in degrees Fahrenheit?

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31. If a person randomly selects a drink, what is the probability that it will be a type of milk?

Option A

Option B

Option C

Option D

Option E

32. According to the graph, how much MORE does it cost to mail an overseas letter weighing 4.1 ounces than a letter weighing 3.5 ounces?

$0.50

$0.60

$1.50

$2.00

$2.50

33. What is true about the perimeters (shown by the solid lines) and the areas of the two arrangements?

The perimeters are the same, but the areas are different.

The perimeters are different, but the areas are the same.

The perimeters and areas are both the same.

The perimeters and areas are both different.

Not enough information is given.

34. A college recruiter interviewed 18 potential students about their interests. Ten students said they participated in sports and 12 in music programs. All said they participated in at least one of these programs, and some participated in both.

How many students said they participated in both sports and music programs?

35. A new store offered its first 80 customers a chance to win a prize by selecting a ball from a container. Of the 80 balls in the container, 45% contained a number that would win the customer a prize.

How many of the first 80 customers won prizes?

36. A construction firm hired 8 carpenters at a rate of $18 per hour and 4 helpers at a rate of $9 per hour.

What is the weekly cost for the construction firm to pay these workers for working a 40-hour week?

$12,960

$ 7,200

$ 3,600

$ 720

$ 180

37. Based on the graph, which trend of behavior while sleeping can be inferred about people as they get older?

They are less likely to snore but more likely to talk.

They are more likely to snore but less likely to talk.

The likelihood of snoring and talking stays constant.

They are less likely to snore and talk.

They are more likely to snore and talk.

38. The dimensions of the rectangle shown at the left are represented by 9n and 6n.

Which of the following represents the PERIMETER of the rectangle?

15n

30n

9n 2

54n 2

39. Katya found temporary work for herself and her brother, Dimitri. The job will pay a total of $400. Since Katya found the work, they agreed that she would get $30 more than Dimitri.

How much money will Dimitri earn from this work?

$185

$200

$215

$245

$370

40. What is the volume, in cubic meters, of a railway boxcar that is 10 meters long,2 meters wide, and 3 meters high?

113

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41. A painter uses the formula C = 20h + 20c to determine how much he should charge a customer in dollars if a job takes h hours and c cans of paint.

How much should the painter charge if it took 15 hours and 3 cans of paint to paint a house?

$ 160

$ 220

$ 360

$ 400

$1800

42. CORRECT TEXT

A carton of paper weighs 13 kilograms, and a box of file folders weighs 8.5 kilograms. A truck was loaded with 9 cartons of paper and 24 boxes of file folders.

What was the total weight, in kilograms, of the cartons of paper and boxes of file folders loaded onto the truck?

43. Because correcting errors reduces the actual number of words per minute a person might type, some people use the following formula to calculate effective typing speed (T) in words per minute:

Where w is the number of words typed in 5 minutes, and e is the number of errors made.

If Cesar types 325 words in 5 minutes and makes 5 errors, what would be the value of T?

315

44. Louise is raising money for a charity fund by participating in a walk-a-thon. Each of her 30 co-workers has pledged $0.25 for each mile she walks.

If Louise walks the entire 20-mile route, which of the following expressions represents the total amount, in dollars, she will raise for the charity fund?

30 × 20 × 0.25

30 × 20 + 0.25

20 × 0.25 + 30

20 + 30 × 0.25

20 + 30 + 0.25

45. Which country has the least percent of inland water area?

Australia

China

Colombia

Russia

Tanzania

46. To be eligible to vote in the town of Clayton, a person must be a citizen of the town and at least 18 years of age. Of the town’s 5000 residents, 3000 are at least 18 years old. Of these, 2700 have registered to vote.

A pool of 35 Clayton jurors is to be randomly selected next month from the town’s registered voters. Luis, who is 15 years old, lives in Clayton.

What is the probability Luis will be among those selected for the jury pool next month?

A) 0

B)

E) Not enough information is given.

Option A

Option B

Option C

Option D

Option E

47. CORRECT TEXT

The slopes of the lines give the average rates of speed, in miles per hour, for the two bicyclists.

What is the average rate of speed, in miles per hour, for bicyclist A?

48. If the postage on an overseas letter costs $1.50, which of the following could be the weight of the letter in ounces?

1.5

2.2

3.4

3.8

4.1

49. The boards on the surface of an outdoor deck are often placed at a 45° angle for decorative appeal. The hypotenuse of a 45°-45°-90° right triangle is found by multiplying the length of a leg by2.

To the nearest tenth of a foot, how long must a board be to cover the diagonal of the square deck shown at the left?

11.9

12.6

13.2

13.8

14.1

50. The slope of the function gives the cost per hour for using each Internet service.

To the nearest whole dollar, what is the approximate cost per hour for using the Cost Cutter Service?

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51. CORRECT TEXT

A blueprint of a building uses a scale where 1 centimeter represents 15 meters.

If the actual distance between two points on the building is 210 meters, how long, in centimeters, must a line segment be to represent that distance on the blueprint?

52. Maria treated Carla to breakfast at the local diner. Maria’s breakfast cost $5.99, and Carla’s cost $3.59. Maria left a $2.00 tip at the table and then paid for the two breakfasts at the register with a $20 bill.

How much change should Maria receive?

$ 8.42

$ 9.58

$10.42

$11.58

$12.42

53. Approximately what percent of the floor area of the warehouse was used for the sale of household items?

22%

48%

56%

71%

78%

54. Which of the following proportions shows the relationship between the height of the object (AB) and the height of its image (DE) in the diagram at the left?

Option A

Option B

Option C

Option D

Option E

55. At Grant’s Stereo Shop, economy cassette tapes are sold in packages of 10 for $16, or separately for $2 each. Jimmy buys 1 package of 10 tapes and 5 separately packaged tapes.

Which of the following expressions equals the average price, in dollars, of his cassette tapes?

A)

Option A

Option B

Option C

Option D

Option E

56. To create a vegetable garden, Lian plans to enclose a 200-square-foot portion of her backyard with fencing.

How many feet of fencing will she need?

108

Not enough information is given.

57. CORRECT TEXT

A discount electronics store had a month-long sale on CD players. On average, one out of every 36 customers who purchased a CD player was dissatisfied and returned it to the store.

If 576 CD players were sold, how many were returned?

58. On which day was the difference between the high and low temperatures the LEAST?

Sunday

Monday

Tuesday

Wednesday

Thursday

59. Biologists tagged trout and released them into a new man-made lake.

The numbers of trout by gender and species are shown in the table below.

Later, biologists will net and inspect 50 of the tagged fish and re-release them into the lake.

If the netting captures fish randomly and all of the fish remain in the lake, approximately how many of the 50 fish are likely to be speckled trout?

60. Which of the following statements is supported by the graph?

The growth rate of bacteria A is constant.

The growth rate of bacteria B is constant.

The difference between the numbers of bacteria A and B is constant.

The growth rates of the two bacteria are approximately the same.

The difference between the counts of bacteria A and B is constantly increasing.

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61. CORRECT TEXT

On the grid, what is the location of point D, the fourth vertex of the parallelogram? Click on the grid to mark your answer.

62. In a shipment of 400 computer chips, were found to be satisfactory.

How many computer chips in the shipment were found to be satisfactory?

100

300

320

360

63. Fran works 6 hours each day and Karen works 8 hours each day. Fran makes $2 more per hour than Karen.

How many days must Karen work to earn $240?

Not enough information is given.

64. The remainder of a bolt of fabric, 971/2 inches long, is to be cut into 3 pieces. One piece is to be 22 inches long, and the other two are to be of equal length.

What will be the length, in inches, of each of the two equal pieces?

A)

Option A

Option B

Option C

Option D

Option E

65. Approximately what will Kira’s profit be if she sells 50 sandwiches?

$170

$190

$200

$240

$250

66. In the figure below, two parallel lines are intersected by a straight line.

What is the measure of angle ABC?

10°

20°

80°

100°

120°

67. CORRECT TEXT

What point represents the center of the circle that circumscribes the rectangle?

68. Walter hired Byron to refloor a 12-foot by 12-foot rectangular room. To save some money, Walter transported the materials himself.

How much LESS did Walter pay than he would have paid if Byron had transported the materials?

$ 250

$ 600

$1200

$3600

Not enough information is given.

69. A storage room is 8 meters long, 4 meters wide, and 2 meters high.

What is the volume of the storage room in cubic meters?

70. If ray XA is rotated 185° clockwise about X, its endpoint will then be closest to which of the points on the circle?

Latest GED Mathematical Reasoning Dumps Valid Version with 299 Q&As

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Instant Download GED Mathematical Reasoning PDF

Latest GED Mathematical Reasoning Dumps Valid Version with 299 Q&As

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