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GED GED-Mathematical-Reasoning GEDMathematical ReasoningExam Exam Practice Test

GEDMathematical ReasoningExam Questions and Answers

Question 1

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

Question 2

The community theater put on a play on Friday and Saturday evenings. There were 68 tickets sold for the Friday performance and 82 for the Saturday performance. All ticket prices were the same, and the total amount raised from ticket sales was $1200.

What was the total amount, in dollars, of the ticket sales for Friday’s performance?

Options:

Question 3

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

Options:

Question 4

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 miles, how much FARTHER can plane A travel in 3 hours than plane B can travel in the same amount of time?

Options:

A.

100

B.

150

C.

300

D.

450

E.

600

Question 5

 

Petra earns $75 per week while working at a pizza parlor on Monday, Tuesday, and Friday evenings.

If Petra receives a promised raise of $0.50 per hour, how much will she then earn per week?

Options:

A.

$ 75.50

B.

$ 76.50

C.

$ 82.50

D.

$112.50

E.

Not enough information is given.

Question 6

What is the length, in inches, of the diagonal brace?

Options:

A.

42

B.

48

C.

60

D.

72

E.

84

Question 7

Juan is taking a computer software class to improve his job skills. His employer will pay for the course if Juan’s average test grade in the class is 90% or higher. On the first three tests, Juan’s grades were 86%, 88%, and 95%.

What is the minimum grade Juan must earn on his fourth and final test so that his employer will pay for the class?

Options:

A.

90%

B.

91%

C.

92%

D.

93%

E.

94%

Question 8

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.

What is the DIFFERENCE, to the nearest thousand, between the number of employed people in Marion County in the 25-to-34 age group and the 55-and-over age group?

Options:

A.

11,000

B.

14,000

C.

26,000

D.

37,000

E.

48,000

Question 9

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.

Question 10

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

Question 11

How much MORE would it cost to rent 6 videos per month under Plan D than to rent 6 videos per month under Plan C?

Options:

A.

$ 8

B.

$10

C.

$12

D.

$16

E.

$20

Question 12

The slopes of the lines give the average growth rates of the plants, in centimeters per week, using the two fertilizers.

What is the average growth rate, in centimeters per week, using fertilizer A?

Options:

A.

85

B.

45

C.

15

D.

10

E.

5

Question 13

--

Here is an opportunity to view math resources.

1. Click on the Formulas button to view the formulas in a window.

2. Close the window that contains the formulas.

3. Click on the Calculator Directions button to view the directions for the onscreen calculator in a window.

4. Close the window that contains the calculator directions.

5. Click on the Calculator button to open the on-screen TI-30XS calculator.

6. Close the window that contains the on-screen TI-30XS calculator.

 

A rectangular photograph has a length of 10 inches and a width of 6 inches. What is the area, in square inches, of the photograph?

Options:

A.

16

B.

22

C.

26

D.

32

E.

60

Question 14

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

Question 15

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

Question 16

In the diagram below, the angle whose measure is y° is an exterior angle of the triangle.

What is the value of y?

Options:

A.

20

B.

40

C.

70

D.

110

E.

140

Question 17

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

Question 18

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?

Options:

A.

7

B.

8

C.

10

D.

15

E.

25

Question 19

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.

Question 20

 

The ratio of VCR tapes to DVD disks available for rent at a local video store is 5.6 to 1. If there are 2436 VCR tapes, how many DVD disks are available?

Options:

Question 21

In mechanical robotics, the linear movement of a robotic arm can be described by a translation of points. The diagram below shows the initial location of point A and its new location, A’, under the translation {3 left, 4 up}.

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

Click on the grid to mark your answer.

Options:

Question 22

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

Options:

A.

500

B.

2300

C.

3200

D.

5000

E.

6000

Question 23

To raise funds for a charity drive, Danielle convinced 40 businesses to each pledge to donate $10 per month for 6 months.

Which expression equals the total number of dollars pledged for the charity drive?

Options:

A.

40(10)(6)

B.

40(6)(6)

C.

40(10)(60)

D.

40(6)(60)

E.

Not enough information is given.

Question 24

Maggie purchased 10 drawing easels at $19.50 each and 20 boxes of crayons at $2.25 each for the pre-school she operates.

What was the total amount, in dollars, that Maggie paid for her purchases?

Options:

Question 25

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

Options:

A.

none

B.

one

C.

two

D.

three

E.

four

Question 26

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

Question 27

In order to separate participants in a research study into groups, each will be given a card. The card will be one of 9 different colors, and each will contain one of 4 different shapes.

How many different cards are possible?

Options:

Question 28

An art gallery has 27 paintings for sale, each at a different price. The median price of the paintings is $250.

How many of the paintings have a price higher than $300?

Options:

A.

10

B.

12

C.

13

D.

14

E.

Not enough information is given.

Question 29

On Saturday mornings, Rosa exercises by riding her bicycle along a route from her home and back again. Her ride normally takes 1 hour and 40 minutes to complete.

If Rosa leaves home at 10:30 A.M. and rides for the usual amount of time, when will she arrive back home?

Options:

A.

130 A.M.

B.

140 A.M.

C.

110 P.M.

D.

130 P.M.

E.

140 P.M.

Question 30

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?

Options:

A.

64

B.

34

C.

32

D.

16

E.

14

Question 31

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

Question 32

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

Question 33

Boxes for shipping telephones can contain a maximum of 18 phones. What is the FEWEST number of boxes needed to ship an order for 110 phones?

Options:

A.

6

B.

7

C.

8

D.

9

E.

10

Question 34

A rectangular garden was separated into two equal areas by placing a fence along a diagonal of the rectangle, as shown in the diagram below.

What is the length (d), in feet, of the diagonal fence?

Options:

A.

20

B.

22

C.

23

D.

26

E.

28

Question 35

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?

Options:

A.

$  8.42

B.

$  9.58

C.

$10.42

D.

$11.58

E.

$12.42

Question 36

If n is a positive number, which of the fractions below has the GREATEST value?

A)

B)

C)

D)

E.Not enough information is given.

Options:

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

Question 37

A police officer stopped Martin for driving 65 miles per hour, or 10 miles per hour over the posted speed limit. The fine for speeding is $50.00 plus $10.00 for each mile per hour over the speed limit, up to 5, and then $15.00 for each mile per hour over that. Which expression below shows how much Martin was fined?

Options:

A.

$50.00 + $10.00

B.

$50.00 + $10.00E.

C.

$50.00 + $15.00E.

D.

$50.00 + $10.00(10)

E.

$50.00 + $10.00E.+ $15.00E.

Question 38

What was the amount of the bonus that Wanda used to open her savings account?

Options:

A.

$550

B.

$500

C.

$450

D.

$425

E.

$ 50

Question 39

Over time, a leaky faucet can waste many gallons of water. If a faucet drips at a rate of 2 ounces per minute, how many gallons of water will be wasted in one week?(1 gallon = 128 ounces)

Options:

A.

22.5

B.

78.75

C.

135

D.

157.5

E.

9450

Question 40

The cost (c) to produce x units of corn and the revenue (r) from selling x units of corn are represented by the following functions:

c = 100x + 6000

r = 500x

How many units of corn must be sold for revenue to equal production cost?

Options:

A.

5

B.

10

C.

15

D.

20

E.

25

Question 41

 

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

Question 42

On the grid, what is the location of point D, the fourth vertex of the parallelogram?

Click on the grid to mark your answer.

Options:

Question 43

During which year did the height of the tree first exceed 3 meters?

Options:

A.

1

B.

2

C.

3

D.

4

E.

5

Question 44

A sales supervisor assigns Asha, Bella, Cameron, Donnell, and Ernesto to work the cash register on a rotating daily basis.The rotation begins with Asha on the first day and continues in alphabetical order, as shown in the pattern below, which uses their initials.

A, B, C, D, E, A, B, C, D, E, …

Who is assigned to work the cash register on the 46th day?

Options:

A.

Asha

B.

Bella

C.

Cameron

D.

Donnell

E.

Ernesto