GED-Mathematical-Reasoning Practice Exam Questions and Answers

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 investment lost money?

What was the depth, in meters, of the water in the tank 6 hours after the tank began to be refilled?

Point C (not shown) is the reflection of point B in the y-axis. Point D is the reflection of point C in the x-axis. What is the location of point D?

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?

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

Margaret’s monthly income is $1200. Of that income, 25% is used to pay her rent, and another 10% goes into savings.

How much of her monthly income can Margaret use for expenses other than rent and savings?

Trapezoid ABCD is shown in the diagram below.

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

After two weeks, what was the approximate height (in centimeters) of the small plants that were not fertilized?

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)

B)

C)

D)

E)

For the weekend sale, a department store reduced the price of all merchandise by 15% of the list price. What is the sale price of a pair of running shoes whose list price is $72.00?

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?

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?

What percent of its goal did the organization achieve?

In a shipment of 400 computer chips,were found to be satisfactory. How many computer chips in the shipment were found to be satisfactory?

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?

If x = -3 and y = 4, which of the following is the value of the expression 2xy2+ x2?

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?

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?

Debra’s job description allocates her time among her tasks as shown in the graph at the left.

If Debra works 40 hours this week, how many of those hours should be spent on customer service?

If n represents a negative number, which of the following expressions represents a positive number?

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

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?

What is the measure of angle E?

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?

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?

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?

Sven bought plants for his garden. He bought some large plants costing $8 each and twice as many small plants costing $6 each. His total cost, before taxes, was $80.

How many of the $8 plants did Sven buy?

Tara earns $460 for working 40 hours a week. This week she also earned $69 in overtime pay and a bonus of $75 for meeting her weekly production quota. Withheld from her pay were $86 for taxes and $18 for insurance.

Which of the following expressions represents the number of dollars Tara received in her paycheck this week?

In the diagram at the left, figure SRQP is a non-square rectangle.

Which of the following statements is/are true?

If Keisha purchased 10 CDs during the year, how much MORE would she pay if she were NOT a member of the club than if she were a member?

A vegetable garden is divided into areas for growing different vegetables. The layout of the garden is shown in the diagram at the left.

How much GREATER, in square feet, is the area for growing beans than the area for growing squash?

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?

If bicyclist B were to travel at his same rate of speed for 10 hours, how many miles would he travel?

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

Which of the following functions represents the depth of water (d) in the tank in terms of the number of hours (t) after the refilling began?

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?

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

Kevin has 100 forms to complete and can finish 20 of them per hour. The number of forms (f) that Kevin still has to complete after h hours is represented by the following function.

f = 100 – 20h

Darla has more forms to complete than Kevin and can complete more per hour.

Which of the following functions could represent the number of forms (f) that Darla needs to complete after h hours?

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

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?

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

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?

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?