GED-Mathematical-Reasoning Practice Exam Questions with Answers GEDMathematical ReasoningExam Certification

Question 13

When each plant had been growing for 6 weeks, how much TALLER, in centimeters, was the plant on which fertilizer A had been used than the one using fertilizer B?

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?

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?

If the trend from March to July continues, approximately how many items will be in the warehouse in August?

Jerard is shopping for a new stereo. World Market has a stereo on sale for $109.99, and Jerard has a coupon that will give him $20 off any purchase over $100. Yates’ Electronics has the same stereo on sale for 25 percent off their regular price of $129.99. What is the lowest price Jerard can pay for this stereo?

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

If a skydiver with mass m, in kilograms, jumps from a plane, the maximum speed she will attain in free-fall (v), in meters per second, is given by the formula

Approximately what is the maximum speed, in meters per second, of a skydiver weighing 60 kilograms?

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

Click on the grid to mark your answer.

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?

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?

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.

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

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?

Expressions for the measures of the angles of a triangle are shown in the diagram below.

Which of the following equations would be used to find the value of x?

It takes 10 days to mow a 140-acre park using a tractor that is available only 4 hours per day.

If the same amount of acreage is mowed each day, how many acres per hour must be mowed?

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)

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?

How many MORE small boxes than large boxes can be purchased for $6?

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?

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?

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?

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?

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

Javier wanted to make a profit of $80 for selling the 4 vases he had made. He had spent $12 for materials. Since he planned to charge the same price for each vase, he used the following equation to determine x, the price he would charge:

4x - 12 = 80

How much did Javier plan to charge for each vase?

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)

Ben has a net (after-tax) monthly income of $1200. He has budgeted part of that money for the expenses listed in the table below.

Approximately what percent of Ben’s net monthly income has he budgeted for expenses related to his car?

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?

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

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

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?

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?

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)

Student tickets to a high school music concert cost $3 less than adult tickets. One student ticket 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 is correct?

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

Which of the following statements is supported by the graph?

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?

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?

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?

A map has a scale of 1 centimeter for 45 kilometers. If the real distance between 2 towns is 810 kilometers, how many centimeters long must a line segment be to represent the distance on the map?

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)

What is the cost, in dollars, to rent each video under Plan A?

Using any area code followed by a 7-digit number, 107, or 10,000,000, telephone numbers are possible. Originally, 800 was the only toll-free area code.

If two additional toll-free area codes were made available, how many MORE toll-free telephone numbers would be possible?

An irrigation system for a small farm uses 750 gallons of water per hour. The system was turned on for 5 consecutive days for the following numbers of hours: 4.5, 8, 6.5, 2.5, and 8. What was the mean (average) number of gallons of water used daily by the irrigation system during those 5 days?

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.

Dwayne’s dentist appointment is at 20 p.m. He plans to allow 45 minutes for the trip from home to the dentist’s office. At what time should he leave his home so that he will arrive at the dentist’s office exactly at 20 p.m.?

Of the 4000 votes cast in a recent election, 8% were incorrectly marked and could not be counted.

How many of the votes were CORRECTLY marked?

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

Louise is raising money for a charity fund by participating in a walk-a-thon. Each of her 30 co-workers has pledged $0.25 for each mile she walks.

If Louise walks the entire 20-mile route, which of the following expressions represents the total amount, in dollars, she will raise for the charity fund?

Women are 3 times as likely as men to have rheumatoid arthritis. A survey conducted in a city of 4,000,000 people revealed about 40,000 cases of rheumatoid arthritis. Approximately how many of these 40,000 could be expected to be WOMEN?

During which year did the tree grow most rapidly?

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

What is the measure of angle ABC?

What percent of its goal did the organization achieve?

The highway patrol uses the following formula to estimate the speed (s), in miles per hour, at which a car was traveling if the car skidded d feet before stopping after the brakes were applied:

The variable f relates to the friction of the road surface. The following table estimates ffor certain types of road surfaces and conditions.

If a car skids 80 feet on wet gravel, what is the approximate speed, in miles per hour, at which the car was traveling?

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

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

A)

B)

C)

D)

E)

A computer chip is designed to be 3.2 cm long, but the actual manufactured length can be up to 0.015 cm larger or smaller than the designed length. Which of the following lengths, in centimeters, of manufactured chips would be acceptable?

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?

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

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?

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?

What was the approximate height of the tree, in meters, when it was transplanted?

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?

Which country has the least percent of inland water area?

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?

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?

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?

According to the graph, what is the maximum increase from the initial pulse rate in beats per minute?

The cost to place an ad in a local paper is $4.50 for the first 25 words and $0.10 for each additional word. Carla placed an ad that cost $6.00.

How many words were in Carla’s ad?

By what calendar year does the model predict there will be no frogs in the lake?

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.

The numbers of sweat shirts and T-shirts sold at a street stand during the first six months of the year are shown in the graph at the left.

During which month were the numbers of sweat shirts and T-shirts sold the same?

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

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?

The members sold 120 candy bars. Each candy bar was sold for the same price.

What was the charge for one candy bar?

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?

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?

Exhibit:

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

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?

Byron charged Theresa $4750, including the cost for transporting the materials, to refloor a room in her house. What was the area, in square feet, of the room?

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?

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

Which of the following statements is/are true?

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

The annual salaries of the owner and employees of a small business are listed below.

The mean (average) salary of the 5 people is $31,000, and the median salary is $28,000.

What will happen to the mean and median salaries if the owner’s salary increases to $60,000 and the other salaries remain the same?