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GED-Mathematical-Reasoning Sample Questions Answers

Questions 4

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?

Options:

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Questions 5

Marion works Monday, Wednesday, and Friday evenings at the Fairfield Family Restaurant. After she received a 5% raise, her take-home pay was $120.

What was Marion’s hourly wage before she received her raise?

Options:

A.

$5.00

B.

$5.25

C.

$6.00

D.

$6.50

E.

Not enough information is given.

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Questions 6

Marta wants to hire Byron to refloor a 10-foot by 12-foot rectangular room. How much would Byron charge to do the job?

Options:

A.

$ 110

B.

$ 360

C.

$2250

D.

$3000

E.

$3250

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Questions 7

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?

A)

B)

C)

D)

E)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Questions 8

If x = 7 and y = 3x + 2, what is the value of y?

Options:

A.

3/5

B.

5/3

C.

12

D.

20

E.

23

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Questions 9

 

The number of games in a shipment must be a multiple of 25 and 40. What is the FEWEST number of games that could be in the shipment?

Options:

A.

800

B.

200

C.

120

D.

75

E.

50

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Questions 10

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?

Options:

A.

$ 250

B.

$ 600

C.

$1200

D.

$3600

E.

Not enough information is given.

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Questions 11

Hazel bought a pre-owned truck from East End Motors. The truck cost $6250, and Hazel made a 10% down payment on it.

What was the balance Hazel owed after making the down payment?

Options:

A.

$  625

B.

$5625

C.

$6150

D.

$6240

E.

$6875

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Questions 12

 

A teacher has 12 pieces of candy for each of his 20 students. However, 5 students do not want any. If all the candy is distributed evenly to the remaining students, how many pieces will each receive?

Options:

A.

24

B.

20

C.

18

D.

16

E.

15

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Questions 13

The seamstress made 2 complete outfits that include a blouse, skirt, and belt. How many yards of material were needed to make these outfits?

Options:

A.

5

B.

5 1/2

C.

8

D.

10

E.

11

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Questions 14

Which investment showed the least change in value?

Options:

A.

A

B.

B

C.

C

D.

D

E.

Not enough information is given.

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Questions 15

Flavio needs a total of 48 ounces of beans to make chili for a party. He can buy 12-ounce cans for $1.29 each or 16-ounce cans for $1.49 each. How much would he SAVE by buying the 16-ounce cans?

Options:

A.

$0.20

B.

$0.69

C.

$4.47

D.

$5.16

E.

$9.63

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Questions 16

Of the first 80 customers entering a store, 35% purchased at least one item.

How many of the first 80 customers purchased at least one item?

Options:

A.

20

B.

28

C.

30

D.

35

E.

52

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Questions 17

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

A)

B)

C)

D)

E)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Questions 18

If a seamstress were to make 8 blouses and 10 skirts without belts, which expression below equals the total amount of material, in yards, needed to complete the skirts and blouses?

A)

B)

C)

D)

E)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Questions 19

Avery charges a fixed amount for a house call plus an hourly fee of $12.50 for repairing televisions. His bill for repairing a television in a customer’s home was $62.00.

If Avery worked 4 hours, what was the fixed amount he charged for the house call?

Options:

A.

$ 6.00

B.

$12.00

C.

$16.50

D.

$49.50

E.

$50.00

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Questions 20

Exhibit:

For how many CDs purchased during the year would the cost be the same whether or not Keisha joined the club?

Options:

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Questions 21

 

In the diagram below, ABCD is a rectangle, and BE = BC

What is the measure, in degrees, of angle AEC?

Options:

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Questions 22

What percent of its goal did the organization achieve?

Options:

A.

64%

B.

71%

C.

76%

D.

79%

E.

82%

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Questions 23

How many minutes must the chute remain open before all the grain is emptied?

Options:

A.

1

B.

2

C.

3

D.

4

E.

5

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Questions 24

How many minutes after the medication is taken is the increase from the initial pulse rate the greatest?

Options:

A.

3

B.

5

C.

7

D.

9

E.

10

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Questions 25

A farmer built a barn at a cost of $48,000 and wishes to insure it for the same amount. If insurance costs $0.35 per $100 of the amount insured, how much must the farmer pay for insurance?

Options:

A.

$35.00

B.

$168.00

C.

$350.00

D.

$480.00

E.

$16,800.00

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Questions 26

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

Options:

A.

22%

B.

48%

C.

56%

D.

71%

E.

78%

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Questions 27

Santos runs a restaurant in his neighborhood. Of his employees,4/5are willing to work nights. Of those willing to work nights,½are willing to work on weekends.

If Santos has 40 employees, how many are willing to work on weekend nights?

Options:

A.

  5

B.

16

C.

20

D.

24

E.

32

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Questions 28

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?

Options:

A.

19

B.

23

C.

24

D.

28

E.

32

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Questions 29

The slope of each line shows the cost per box. What is the cost of each LARGE box?

Options:

A.

$0.50

B.

$1.00

C.

$1.50

D.

$2.00

E.

$3.00

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Questions 30

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

Options:

A.

b = ac

B.

a = bc

C.

b = a - c

D.

a = b - c

E.

a = c - b

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Questions 31

CableTV charges $37.50 per month for its premium service plus $3.25 for each movie requested by phone. Andre subscribed to the premium service for 10 months and requested 20 movies by phone during that time. What was the total amount, in dollars, that he paid CableTV during those 10 months?

Options:

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Questions 32

Which of the following statements is supported by the graph?

Options:

A.

The growth rate of bacteria A is constant.

B.

The growth rate of bacteria B is constant.

C.

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

D.

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

E.

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

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Questions 33

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

Options:

A.

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

B.

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

C.

The likelihood of snoring and talking stays constant.

D.

They are less likely to snore and talk.

E.

They are more likely to snore and talk.

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Questions 34

It takes Raymond 1 hour and 40 minutes to drive to his parents’ house. Raymond’s brother Carl can get to their parents’ house in half that time because he lives closer.

If Raymond leaves for his parents’ home at 00 P.M., what time should Carl leave if they plan to arrive at the same time?

Options:

A.

20 P.M.

B.

50 P.M.

C.

10 P.M.

D.

20 P.M.

E.

40 P.M.

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Questions 35

Jasmine had a piece of wood that was  inches long. She cut off one piece that was 12 inches long, and cut the remaining section intotwo pieces of equal length. If 87 3/4inch of wood was wasted making the two cuts, how long, in inches, were each of the two equal pieces?

A)

B)

C)

D)

E)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Questions 36

A library raised money by holding a book sale on older books in its collection. Hardback books were sold for $4.50 each, and paperback books sold for $1.25 each. By the end of the sale, 40 hardback books and 60 paperback books had been sold.

How much money, in dollars, did the library raise during the book sale?

Options:

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Questions 37

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?

Options:

A.

$250

B.

$200

C.

$100

D.

$ 50

E.

$ 0

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Questions 38

The deposits at the local bank total $8,489,517.00. What is this amount rounded to the nearest thousand dollars?

Options:

A.

$8,480,000

B.

$8,489,000

C.

$8,489,500

D.

$8,490,000

E.

$8,490,517

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Questions 39

Two groups collected aluminum cans for a recycling drive. The first group had 40 members, and each collected 18 cans. The second group had half as many members, but each collected twice as many cans as any member of the first group had.

What was the total number of cans collected by the two groups?

Options:

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Questions 40

A 0.45-acre tract of land sells for $36,000. At this rate, what would 1 acre cost?

Options:

A.

$80,000

B.

$72,000

C.

$60,000

D.

$19,800

E.

$16,200

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Questions 41

How many MORE votes did Viaman receive than the other three candidates combined?

Options:

A.

4

B.

48

C.

52

D.

400

E.

Not enough information is given.

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Questions 42

A 12-meter by 6-meter rectangular floor, shown in the diagram below, is to be covered by vinyl tile.

One box of vinyl tile covers an area of 2.25 square meters. What is the minimum number of boxes of vinyl tile needed to cover the floor?

Options:

A.

32

B.

16

C.

14

D.

10

E.

  8

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Questions 43

Which of the following lists the numbers in order from LEAST to GREATEST?

Options:

A.

-2,5, -8

B.

-2, -8,5

C.

5, -2, -8

D.

5, -8, -2

E.

-8, -2,5

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Questions 44

Refers to the following information and diagram.

When segment PQ, shown in the diagram below, is moved using the translation {4 left, 5 down}, the new location of point P, designated by P’, is (-6, 1).

What is the location of Q’, the new location of point Q under the same translation?

Click on the grid to mark your answer.

Options:

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Questions 45

Each bag of topsoil that Kyle wants to purchase will cover an area of 2.25 square feet. What is the minimum number of bags he should purchase to cover the garden area?

Options:

A.

8

B.

9

C.

10

D.

16

E.

20

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Questions 46

Estelle receives a commission of 5% on her sales up to $10,000 and 8% for sales in excess of that amount. In one week, she had sales that totaled $12,000.

Which of the following expressions shows the number of dollars Estelle earned in commissions during that week?

Options:

A.

0.05 × 12,000

B.

0.08 × 12,000

C.

0.13 × 12,000

D.

(0.05 × 2,000) + (0.08 × 10,000)

E.

(0.05 × 10,000) + (0.08 × 2,000)

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Questions 47

If 0.45 tons of wood pulp will produce 27,000 sheets of premium paper, how many sheets of premium paper can be produced from 1 ton of wood pulp?

Options:

A.

60,000

B.

54,000

C.

45,000

D.

14,850

E.

12,150

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Questions 48

To create a corral for horses, a rancher plans to enclose an 80-square-meter portion of his ranch with fencing. How many meters of fencing will he need?

Options:

A.

36

B.

42

C.

48

D.

84

E.

Not enough information is given.

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Questions 49

If the patterns continue as shown in the graph, under which plan would a family spend the LEAST to rent 15 videos per month?

Options:

A.

A

B.

B

C.

C

D.

D

E.

Not enough information is given.

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Questions 50

DVDs-by-Mail offers DVD rentals by mail. A customer can subscribe to any of the three levels of service listed in the table at the left.

Lee subscribed to the Premium service. What was he charged for renting 18 DVDs during one month?

Options:

A.

$ 18.00

B.

$ 19.95

C.

$ 26.70

D.

$ 60.45

E.

$180.00

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Questions 51

 

If a = -4 and b = 3, which of the following is the value of the expression 2ab 2 + a 2?

Options:

A.

-56

B.

-64

C.

-80

D.

-92

E.

-124

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Questions 52

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

Options:

A.

3

B.

7

C.

15

D.

4

E.

12

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Questions 53

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?

Options:

A.

25 p.m.

B.

55 p.m.

C.

15 p.m.

D.

20 p.m.

E.

25 p.m.

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Questions 54

The table at the left shows the distribution of 32 students in a night-school class by gender and by marital status.

If half of the females in the class are married, how many of the males in the class are NOT married?

Options:

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Questions 55

 

Potatoes can be purchased in 10-kilogram bags for $14 or loosely for $2 per kilogram. Harry bought one 10-kilogram bag of potatoes and 3 kilograms of loose potatoes.

Which of the following expressions equals the average price per kilogram, in dollars, for the potatoes Harry bought?

A)

B)

C)

D)

E)

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Questions 56

A shipment of 84 cell phones was sent in two types of boxes. Some boxes contained 6 phones and others contained 8 phones. An equal number of each type of box was used.

How many of each type of box was used?

Options:

A.

6

B.

12

C.

36

D.

42

E.

48

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Questions 57

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

Options:

A.

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

B.

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

C.

The perimeters and areas are both the same.

D.

The perimeters and areas are both different.

E.

Not enough information is given.

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Questions 58

Seats in an auditorium are numbered in order from 1 to 150. The seat that is numbered 7 and every 35th seat thereafter has a card taped beneath it to indicate that the person sitting there has won a prize.

What is the highest numbered seat in which a person can win a prize?

Options:

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Questions 59

If the pattern continues this year, and there are 4000 students in the incoming freshman class, how many will be commuting from home?

Options:

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Questions 60

How much MORE does it cost to use Advanced Access service for 6 hours per month than to use the same service for 2 hours per month?

Options:

A.

$ 0

B.

$ 4

C.

$20

D.

$40

E.

Not enough information is given.

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Questions 61

If 3x + 30 = 9x, what is the value of x?

Options:

A.

-10

B.

-5

C.

5

D.

10

E.

24

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Questions 62

A roadway rises uniformly 12 meters over a horizontal distance of 80 meters, as shown in the diagram below.

What is x, the height (in meters) of the roadway at a horizontal distance of 60 meters from where the roadway began?

Options:

A.

8.0

B.

9.0

C.

9.6

D.

16.0

E.

60.0

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Questions 63

For Plan B, the slope of the line gives the cost per minute of long-distance use (in dollars). What is the cost per minute using Plan B?

Options:

A.

$0.01

B.

$0.05

C.

$0.10

D.

$0.15

E.

$0.50

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Questions 64

A CD club offered Kathy 8 CDs for $1.00 each if she would purchase 8 more at $12.00 each. In dollars, what is the total amount that Kathy would pay for all 16 CDs?

Options:

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Questions 65

Conrad is required to review an average of 30 insurance cases each day during his five-day workweek. The table at the left shows how many cases he reviewed during the first four days.

What is the minimum number of cases Conrad must review on Friday to meet his required average for the week?

Options:

A.

150

B.

127

C.

33

D.

30

E.

23

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Questions 66

Cassandra, the sales manager at a jewelry store, receives a commission of 30% of her sales. In addition, she receives a commission of 4.5% of the total sales of other salespeople under her supervision.

If Cassandra sells jewelry worth $2250 and her sales staff sells jewelry worth a total of $6800, what is her total commission in dollars?

Options:

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Questions 67

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?

Options:

A.

$2831

B.

$2471

C.

$1529

D.

$1302

E.

$ 988

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Questions 68

In which of the listed cities is the population in 2015 projected to be more than a 50% increase from the 1995 population?

Options:

A.

Tokyo

B.

Mexico City

C.

Sao Paulo

D.

New York City

E.

Mumbai

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Questions 69

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?

Options:

A.

$12,960

B.

$  7,200

C.

$  3,600

D.

$     720

E.

$     180

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Questions 70

Adora’s car averages 28 miles per gallon of gas. Approximately how many gallons of gas should she expect to use for a trip of 190 miles?

Options:

A.

3

B.

5

C.

7

D.

9

E.

10

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Questions 71

What is the measure of angle E?

Options:

A.

70°

B.

65°

C.

60°

D.

50°

E.

Not enough information is given.

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Questions 72

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)

B)

C)

D)

E)

Options:

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Questions 73

Which of the following represents the PERIMETER of the rectangle?

Options:

A.

13x

B.

26x

C.

26

D.

8x2

E.

40x2

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Questions 74

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?

Options:

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Questions 75

For how many videos rented per month is the cost with Plan A the same as the cost with Plan B?

Options:

A.

12

B.

5

C.

4

D.

2

E.

Not enough information is given.

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Questions 76

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?

Options:

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Questions 77

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

Options:

A.

3

B.

6

C.

15

D.

30

E.

60

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Questions 78

Refers to the following information and diagram.

Three vertices of a square are shown on the graph below.

What is the location of the fourth vertex of the square?

Click on the grid to mark your answer.

Options:

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Questions 79

In the diagram below, segment AD is perpendicular to segment BC, and segment AB is perpendicular to segment BD.

If the measure of angle A is 50°, what is the measure, in degrees, of angle D?

Options:

A.

150°

B.

130°

C.

50°

D.

40°

E.

Not enough information is given.

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Questions 80

 

Jamie has 6 shirts and 4 ties. How many different combinations of a shirt and a tie can he wear?

Options:

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Questions 81

Harry plans to buy a holiday basket at Diane’s Gift Shop. Each basket contains a beverage, cheese, and crackers. Harry must choose one of 4 types of beverages, one of 5 kinds of cheeses, and one of 3 types of crackers.

From how many holiday baskets with different contents can Harry choose?

Options:

A.

12

B.

17

C.

23

D.

35

E.

60

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Questions 82

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?

Options:

A.

1/10

B.

1/5

C.

2/5

D.

1/2

E.

4/5

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Questions 83

Linda and Sean used separate machines for two different copying jobs. A graph comparing the jobs is shown at the left.

How do the number of copies in the second copying job and the speed of the second copier compare to those of the first job?

Options:

A.

more copies, and the copier is faster.

B.

more copies, and the copier is slower.

C.

the same number of copies, and the copier is faster.

D.

fewer copies, and the copier is faster.

E.

fewer copies, and the copier is slower.

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Questions 84

An octagonal lamp has 8 square glass sides.The total area of the glass used for the lamp is given by the formula g = 8x2, where g is the area of the glass and x is the length of one side of the squares.

If the squares have sides whose length is 6 inches, what is the total area (in square inches) of the glass used to make the lamp?

Options:

A.

2340

B.

288

C.

96

D.

48

E.

8

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Questions 85

Five items were purchased for a total of $52.50. The three least expensive items cost $3.40, $7.90, and $9.80, respectively.

What was the cost of the most expensive of the 5 items?

Options:

A.

$15.70

B.

$42.70

C.

$44.60

D.

$49.10

E.

Not enough information is given.

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Questions 86

Which investment lost money?

Options:

A.

A

B.

B

C.

C

D.

D

E.

Not enough information is given.

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Questions 87

In the diagram below, K is a point on line AD.

What is the measure, in degrees, of angle BKC?

Options:

A.

30

B.

42

C.

70

D.

80

E.

116

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Questions 88

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?

Options:

A.

45

B.

36

C.

35

D.

24

E.

20

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Questions 89

Marion County’s total population of 184,026, the number of people employed (including self employed) is 122,939. The number of people employed is broken down by age group in the graph below.

Which of the following is closest to the number of employed people aged 45 to 54 who live in Marion County?

Options:

A.

21,273

B.

23,516

C.

26,144

D.

28,055

E.

29,891

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Exam Code: GED-Mathematical-Reasoning
Exam Name: GEDMathematical ReasoningExam
Last Update: Sep 15, 2025
Questions: 299
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