GED-Mathematical-Reasoning GEDMathematical ReasoningExam Question and Answers

A lottery prize can be paid in one lump sum of $6000 or monthly payments of $550 for one year. How much MORE, in dollars, would a person receive if the monthly payments were accepted rather than the lump sum?

When the contents have settled and the package is opened, the height of the empty space measures 4 centimeters.

What portion of the volume of the package is filled with the SETTLED contents?

A)

B)

C)

D)

E)

The committee responsible for making the arrangements for an upcoming conference can rent the following sizes of tables.

There are 600 people registered for the conference. All of the following combinations of tables will allow all those registered to be seated. Which will allow them to be seated at the LEAST cost?

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

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

What is the DIFFERENCE, in feet above ground, between the height of the rocket at 8 seconds and its height at 2 seconds?

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.

 

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?

Several numbers, some of which are the same, are represented by variables and arranged in order from least to greatest. The list of numbers is as follows:

a, b, b, c, d, d, d

What is the median of the numbers?

A)c

B)d

C)d – a

D)

E)

Bacteria infected 3/5 of the 300 trees in a forest. How many of the trees were infected with the bacteria?

Exhibit:

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

What OTHER point on the grid is on the line passing through the two points shown?

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?

 

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?

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

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

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

What is the measure of angle ABC?

 

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?

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

A soccer team played 30 games. The team won 40 percent of the first 10 games and 70 percent of the remaining games. Which expression correctly shows how many games they won in all?

Exhibit:

Exhibit:

For how many minutes of long-distance use per month are the costs of all four plans the same?

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

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?

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?

How many gallons of gas were in the generator’s gasoline tank before the generator was turned on?

A window washer charges an hourly fee of $8.50 plus an additional fee of $0.50 for each window washed.

Which of the following expressions accurately represents the number of dollars charged by the window washer to work 4 hours and wash x windows?

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)

B)

C)

D)

E)

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?

The values of which two investments changed at the same rate?

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?

A triangle that does not contain a right angle has one side that measures 15 cm and another that measures 6 cm.

What is the measure, in centimeters, of the third side of the triangle?

Which of the following graphs shows the number of pages yet to be duplicated in that print job as time goes by if the copying machine is not working?

A)

B)

C)

D)

E)

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)

A real estate agent has an appointment to show a house to a couple who lives out of town. It will take the couple 2½ hours to drive to the house, but the real estate agent can get there in 45 minutes.

If the couple left at 15 P.M., at what time should the real estate agent leave to arrive at the house at the same time?

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?

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?

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

The population trend of Smalltown for the years 1990 through 1996 is shown in the graph at the left.

If the trend continued, what was the population of Smalltown in 1997?

 

The surface area of a cube is given by the formula s = 6x2, where s is the surface area of the 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) of the cardboard box if its edge is 5 inches in length?

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?

Adrienne entered the garage at 10:00 A.M. and left at 10:35 A.M. that same day.

What did she have to pay for parking?