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Frequently Asked Questions

GED GED-Mathematical-Reasoning Sample Question Answers

Question # 1

What is the measure of angle BCD?

A. 130°
B. 120°
C. 70°
D. 60°
E. 50°

Question # 2

Which country has the least percent of inland water area?

A. Australia
B. China
C. Colombia
D. Russia
E. Tanzania

Question # 3

What is the cost of 10 small boxes?

A. $ 4
B. $ 5
C. $ 6
D. $12
E. $15

Question # 4

John is taking a test that has ten questions. Each question has four answer choices withonly one correct answer. Which of the following expressions shows the probability thatJohn could answer all ten questions correctly by randomly guessing the correct answers?  

A. Option A
B. Option B
C. Option C
D. Option D
E. Option E

Question # 5

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

A. Option A
B. Option B
C. Option C
D. Option D
E. Option E

Question # 6

Santos runs a restaurant in his neighborhood. Of his employees,4/5are willing to worknights. 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?

A. 5
B. 16
C. 20
D. 24
E. 32

Question # 7

Anna hired Byron to refloor a 15-foot by 20-foot rectangular room. Farley hired Byron torefloor a 12-foot by 25-foot rectangular room.If both paid the cost for transporting the materials, how much MORE did Byron chargeFarley than Anna?

A. $250
B. $200
C. $100
D. $ 50
E. $ 0

Question # 8

Which of the following statements is supported by the graph?

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.

Question # 9

The ratio of trucks to cars sold at Marathon Motors during the year is about 2 to 5. If thecompany sold about 500 cars last year, about how many trucks did it sell?

A. 200
B. 250
C. 300
D. 500
E. 700

Question # 10

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

A. 800
B. 200
C. 120
D. 75
E. 50

Question # 11

Avery charges a fixed amount for a house call plus an hourly fee of $12.50 for repairingtelevisions. 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?

A. $ 6.00
B. $12.00
C. $16.50
D. $49.50
E. $50.00

Question # 12

The list price of a certain bread machine is $200. A discount store sells this machine for$130, saving the customer $70. What is the percent of discount?

A. 35%
B. 54%
C. 65%
D. 70%
E. 130%

Question # 13

If the letter y represents a negative number, which of the following represents a positivenumber?

A. y + y
B. y 3
C. (1/3)y
D. 1.5(y)
E. -7(y)

Question # 14

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

A. 5 to 6 hours
B. 6 to 7 hours
C. 7 to 8 hours
D. 8 to 9 hours
E. 9 to 10 hours

Question # 15

A roadway rises uniformly 12 meters over a horizontal distance of 80 meters, as shown inthe diagram below. What is x, the height (in meters) of the roadway at a horizontal distance of 60 meters fromwhere the roadway began?

A. 8.0
B. 9.0
C. 9.6
D. 16.0
E. 60.0

Question # 16

The surface area of a cube is given by the formula s = 6x2, where s is the surface area ofthe cube, and x is the length of an edge of the cube.If a cardboard box is in the shape of a cube, what is the surface area (in square inches) ofthe cardboard box if its edge is 5 inches in length?

A. 6
B. 30
C. 60
D. 150
E. 900

Question # 17

Fran works 6 hours each day and Karen works 8 hours each day. Fran makes $2 more perhour than Karen. How many days must Karen work to earn $240?

A. 15
B. 24
C. 30
D. 40
E. Not enough information is given.

Question # 18

The expression (3 × 102) + (2 × 103) equals which of the following numbers?

A. 500
B. 2300
C. 3200
D. 5000
E. 6000

Question # 19

Shortly after the tank was filled to capacity, a leak was discovered. By the time the holewas repaired, the level of the liquid had dropped 2 meters. What portion of the originalliquid REMAINED after the leak was repaired?

A. 1/10
B. 1/5
C. 2/5
D. 1/2
E. 4/5

Question # 20

A vegetable garden is divided into areas for growing different vegetables. The layout of thegarden is shown in the diagram at the left.How much GREATER, in square feet, is the area for growing beans than the area forgrowing squash?

A. 198
B. 126
C. 114
D. 72
E. 54

Question # 21

Ben has a net (after-tax) monthly income of $1200. He has budgeted part of that money forthe expenses listed in the table below Approximately what percent of Ben’s net monthly income has he budgeted for expensesrelated to his car?

A. 4%
B. 7%
C. 11%
D. 14%
E. 15%

Question # 22

What is the length of the roof, in feet, from the floor to the top of the open front of theshelter?

A. 6
B. 8
C. 10
D. 12
E. 14

Question # 23

The weight of a can of soup is listed as 10.8 ounces, or 306 grams. A larger can of thesame soup weighs 18.8 ounces.Which of the following is closest to the weight, in grams, of the larger can of soup?

A. 520
B. 530
C. 540
D. 550
E. 560

Question # 24

A rectangular garden was separated into two equal areas by placing a fence along adiagonal of the rectangle, as shown in the diagram below.What is the length (d), in feet, of the diagonal fence?

A. 20
B. 22
C. 23
D. 26
E. 28

Question # 25

If Keisha purchased 10 CDs during the year, how much MORE would she pay if she wereNOT a member of the club than if she were a member?

A. $10
B. $20
C. $30
D. $40
E. $50

Question # 26

From what approximate height, in feet, is the rocket launched?

A. 5
B. 10
C. 25
D. 50
E. 75

Question # 27

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

A. 3/5
B. 5/3
C. 12
D. 20
E. 23

Question # 28

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?

A. $15.70
B. $42.70
C. $44.60
D. $49.10
E. Not enough information is given.

Question # 29

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

A. 1
B. 2
C. 3
D. 4
E. 5

Question # 30

Lamar and Angela each bought sofas that cost $399.00 each, including tax. Angela paidcash, but Lamar paid 10% of the cost and made 12 monthly payments of $36.00 each.How much MORE did Lamar pay than Angela?

A. $ 39.90
B. $ 33.00
C. $ 72.90
D. $ 432.00
E. $ 471.90

Question # 31

A painter uses the formula C = 20h + 20c to determine how much he should charge acustomer in dollars if a job takes h hours and c cans of paint. How much should the paintercharge if it took 15 hours and 3 cans of paint to paint a house?

A. $ 160
B. $ 220
C. $ 360
D. $ 400
E. $1800

Question # 32

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

A. 3
B. 5
C. 7
D. 9
E. 10

Question # 33

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 thematerials?

A. $ 250
B. $ 600
C. $1200
D. $3600
E. Not enough information is given.

Question # 34

The slopes of the lines give the average growth rates of the plants, in centimeters perweek, using the two fertilizers.What is the average growth rate, in centimeters per week, using fertilizer A?

A. 85
B. 45
C. 15
D. 10
E. 5

Question # 35

Robert’s car averages 32 miles to the gallon in highway driving. Approximately how manygallons of gas should he expect to use for a trip of 220 miles?

A. 3
B. 5
C. 7
D. 9
E. 10

Question # 36

Marion County’s total population of 184,026, the number of people employed (including selfemployed) is 122,939. The number of people employed is broken down by age group in thegraph below. Which of the following is closest to the number of employed people aged 45 to 54 who livein Marion County?

A. 21,273
B. 23,516
C. 26,144
D. 28,055
E. 29,891

Question # 37

Student tickets to a high school music concert cost $3 less than adult tickets. One studentticket and one adult ticket can be purchased for less than $15.If x is the cost of one adult ticket to the concert, which of the following statements iscorrect?

A. x + x - 3 < 15
B. x + x + 3 < 15
C. x + 2x < 15
D. x + 2x + x < 15
E. x + x - 4 < 15

Question # 38

The diagram below shows a ramp that rises uniformly 24 feet over a distance of 80 feet.How many feet high will the ramp be at a point 60 feet from its beginning?

A. 4
B. 18
C. 19.2
D. 32
E. 60

Question # 39

Louise is raising money for a charity fund by participating in a walk-a-thon. Each of her 30co-workers has pledged $0.25 for each mile she walks.If Louise walks the entire 20-mile route, which of the following expressions represents thetotal amount, in dollars, she will raise for the charity fund?

A. 30 × 20 × 0.25
B. 30 × 20 + 0.25
C. 20 × 0.25 + 30
D. 20 + 30 × 0.25
E. 20 + 30 + 0.25

Question # 40

Plastic recyclables are collected every Monday in Kingsview. If the first Monday of themonth falls on the 4th, which of the following dates will also be a Monday during thatmonth?

A. 14th
B. 17th
C. 19th
D. 21st
E. 25th

Question # 41

After how many weeks of growth was the height of the seeds in fertilizer the same as theheight of the small plants not fertilized?

A. 1
B. 2
C. 3
D. 4
E. 5

Question # 42

Kendra is buying a television set that will cost $299.00, including tax. She can pay cash orput down 10 percent of the cost and make 12 monthly payments of $28.00 each. Howmuch will Kendra save if she pays cash?

A. $28.00
B. $29.90
C. $37.00
D. $66.90
E. $94.40

Question # 43

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

A. 12
B. 5
C. 4
D. 2
E. Not enough information is given.

Question # 44

An octagonal lamp has 8 square glass sides.The total area of the glass used for the lamp isgiven by the formula g = 8x2, where g is the area of the glass and x is the length of oneside 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?

A. 2340
B. 288
C. 96
D. 48
E. 8

Question # 45

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

A. 4
B. 48
C. 52
D. 400
E. Not enough information is given.

Question # 46

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

A. $ 0
B. $ 4
C. $20
D. $40
E. Not enough information is given.

Question # 47

All the office supplies listed in the chart at the left increased in price.Which item increased by more than 10 percent?

A. A
B. B
C. C
D. D
E. E

Question # 48

The Dewey Decimal System (DDS) is used to organize books in many libraries. Each bookis assigned a number based on its content and author. Listed at the left are five booksclassified under American Literature in English and their corresponding DDS number.If the books were arranged on a shelf with the lowest number to the left, which of the bookswould appear farthest to the left?

A. City Lights
B. Dawn Breaks
C. Laughing Clowns
D. Strawberry Fields
E. Winter Palace

Question # 49

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

A. 18
B. 19
C. 20
D. 21
E. 22

Question # 50

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

A. Option A
B. Option B
C. Option C
D. Option D
E. Option E

Question # 51

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

A. A
B. B
C. C
D. D
E. Not enough information is given.

Question # 52

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

A. 5
B. 5 1/2
C. 8
D. 10
E. 11

Question # 53

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

A. B
B. C
C. D
D. E
E. F

Question # 54

Dan is 2 years younger than Amy, and the sum of their ages is less than 20. Which of thefollowing is a correct statement about Amy's and Dan's ages? (Let A = Amy's age.)

A. A + A – 2 < 20
B. A + A + 2 < 20
C. A + 2A < 20
D. A + 2A + A < 20
E. A + A – 3 < 20

Question # 55

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

A. Option A
B. Option B
C. Option C
D. Option D
E. Option E

Question # 56

The United States and Indonesia have the same percent of inland water area, but their total areas are different. Approximately how many times as great as the total area of Indonesia is the total area of the United States?

A. 4
B. 6
C. 8
D. 10
E. 12

Question # 57

The style of fencing that Kyle has chosen requires 15 feet of wood for every 3 feet offencing. How many feet of wood will he need?

A. 21
B. 45
C. 105
D. 225
E. 315

Question # 58

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

A. Tokyo
B. Mexico City
C. Sao Paulo
D. New York City
E. Mumbai

Question # 59

Harry estimates that he calls long distance for no more than 20 minutes per month. Usingthat estimate, from how many option plans can he choose and have a long-distance chargeof $1.00 or less?

A. none
B. one
C. two
D. three
E. four

Question # 60

Trapezoid ABCD is shown in the diagram below. Which of the following words best describes the relationship between side AB and side DC?

A. equal
B. perpendicular
C. intersecting
D. skewed
E. parallel

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