GED Mathematics PRACTICE Test

Question 1

GED Mathematics PRACTICE Test. A circle has a radius of 146 feet. What is the area of the circle, to the nearest square foot?

• A. 458
• B. 917
• C. 66,932
• D. 133,864

Answer: C. 66,932

Question 2

Raul has $t$ tokens. Karen has 4 more tokens than Raul. Raul has 5 fewer tokens than he had yesterday. Which expression represents the ratio of the number of tokens Karen has to the number of tokens Raul had yesterday?

• A. $\frac{t – 4}{t + 5}$
• B. $\frac{t + 4}{t – 5}$
• C. $\frac{t + 4}{t + 5}$
• D. $\frac{t – 4}{t – 5}$

Answer: B. $\frac{t + 4}{t – 5}$

Question 3

The locations of two points, $X$ and $Y$, on a number line are shown. Point $X$ is at -4 and Point $Y$ is at 3. Which expression represents the distance between the two points?

• A. $|-4 + 3|$
• B. $|4 – 3|$
• C. $|-4 – 3|$
• D. $|4 + 3|$

Answer: C. $|-4 – 3|$

Question 4

Simplify the following expression: $5^2 – 2^2$

• A. 3
• B. 9
• C. 12
• D. 21

Answer: D. 21

Question 5

What is the product of 2.75 and 1.2?

• A. 2.3
• B. 3.3
• C. 3.35
• D. 3.4

Answer: B. 3.3

Question 6

Three students, $h, j,$ and $k,$ took a test. Which expression represents their average score?

• A. $h + j + k$
• B. $\frac{h + j + k}{2}$
• C. $\frac{h + j + k}{3}$
• D. $3(h + j + k)$

Answer: C. $\frac{h + j + k}{3}$

Question 7

What is the solution set of the equation $x^2 + 3x – 4 = 6$?

• A. $\{-5, 2\}$
• B. $\{5, -2\}$
• C. $\{-4, 1\}$
• D. $\{4, -1\}$

Answer: A. $\{-5, 2\}$

Question 8

Which expression is equivalent to “the quotient of 3 times the difference of $x$ and 5 and 6 times $x$”?

• A. $\frac{3x – 5}{6x}$
• B. $\frac{3(5 – x)}{6x}$
• C. $\frac{3(x – 5)}{6x}$
• D. $3(x – 5) – 6x$

Answer: C. $\frac{3(x – 5)}{6x}$

Question 9

A cylinder has a diameter of 28 inches and a height of 66 inches. What is the surface area of the cylinder to the nearest square inch? GED Mathematics PRACTICE Test

• A. 5,803
• B. 7,037
• C. 11,607
• D. 40,640

Answer: B. 7,037

Question 10

The prices of different sizes of canvases are proportional to a $4 \times 5$ photo. Which two prices must be selected?

• $6.43
• $8.50
• $11.65
• $15.20

Answer: $6.43 and $11.65

Question 11

A wind turbine has 5 blades with the following lengths in feet: 102, 116, 146, 148, 148. What is the median blade length?

• A. 102
• B. 132
• C. 142
• D. 146

Answer: D. 146

Question 12

A rental car company charges a flat fee of $\$60.00$ for the first 40 miles and $\$0.50$ for each additional mile. What is the greatest number of miles a person can drive without spending more than $\$270.00$?

• (Numerical Entry)

Answer: 460

Question 13

The original price of a canvas and frame was $\$22.80$ and $\$89.98$ respectively. If there is a 5% discount, how much is saved?

• A. $\$1.14$
• B. $\$4.50$
• C. $\$5.12$
• D. $\$5.64$

Answer: D. $5.64

Question 13

Stella is renting a car for a business trip. The car rental agency charges a flat rate of $60 plus $0.50 per mile for every mile she drives over 40 miles. Stella’s company will pay up to $270, excluding the ¹cost of gasoline, for the use of th²e rental car. What is the greatest nu³mber of⁴ miles Stella can drive the rental car without spending more than $270?

Answer: 420

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Question 14

Add one number to each column of the table so that it shows a function. Do not repeat an ordered pair that is in the table. Click on the numbers you want to select and drag them into the table. GED Mathematics PRACTICE Test

x	y
6	6
3	8
9	12
7	8

Choices:

• 3
• 6
• 7
• 8
• 9
• 12

Answer: x = 12, y = 8 (Note: For the x-column, 12 is the only correct choice to maintain a function. For the y-column, any number from the choices can be used as long as the pair (12, y) is not already in the table).

Question 1

What is the value of $x$ in the linear inequality?

$$-3(4x – 8.2) < -11.98x + 14\frac{3}{4}$$

• A. $x < 49.25$
• B. $x > 49.25$
• C. $x < 492.5$
• D. $x > 492.5$

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Question 2

What is the difference, in feet, between the minimum and maximum heights of a car on the Ferris wheel?

• A. 0
• B. 3.5
• C. 140
• D. 150

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Question 3

What are the coordinates of the three locations on the graph? GED Mathematics PRACTICE Test

• A. (-2, -3), (4, -1), (-5, 2)
• B. (2, 3), (4, 1), (5, 2)
• C. (-3, -2), (-1, 4), (2, -5)
• D. (-2, -3), (-1, 4), (5, 2)

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Question 4

The function f(x) = 2.15(2x^2 – 4x – 6) models the cost, in dollars, of a rug with width $x$ feet. What is the cost of a rug that is 9 feet wide?

• A. $120
• B. $258
• C. $606
• D. $655

Question 20

Justin is exchanging dollars for rolls of quarters and rolls of dimes at a bank. Each roll of quarters has a value of $10 and each roll of dimes has a value of $5. He exchanges $90 and receives 11 rolls of coins. How many of each t¹ype of roll of coins did he receive²?

• A. 4 rolls of quarters, 7 rolls of dimes
• B. 7 rolls of quarters, 4 rolls of dimes
• C. 5 rolls of quarters, 6 rolls of dimes
• D. 6 rolls of quarters, 5 rolls of dimes

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Question 16

What is the difference, in feet, between the minimum and maximum heights of a car on the Ferris wheel?

• A. 0
• B. 3.5
• C. 140
• D. 150

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Question 15

What is the value of $x$ in the linear inequality? $-3(4x – 8.2) < -11.98x + 14\frac{3}{4}$ GED Mathematics PRACTICE Test

• A. $x < 49.25$
• B. $x > 49.25$
• C. $x < 492.5$
• D. $x > 492.5

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Question 14

Add one number to each column of the table so that it shows a function. Do not repeat an ordered pair that is in the table.

(Table contains: (6,6), (3,8), (9,12), (7,8), (12,3))

• x-column: 8
• y-column: 3 (or any other available number from the list)

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Question 13

Stella is renting a car for a business trip. The car rental agency charges a flat rate of $60 plus $0.50 per mile for every mile she drives over 40 miles. Stella’s company will pay up to $270, excluding the cost of gasoline, for the use of the rental car. What is the greatest number of miles Stella can drive the rental car without spending more than $270?³ GED Mathematics PRACTICE Test

• Answer: 460⁴

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Question 12⁵

The manager of a six-screen movie theater was analyzing the ticket-sales data for Monday through Friday ⁶of the past week. There were 500 tickets sold on Wednesday. She noticed that there were more tickets sold on Wednesday than on Monday and Tuesday combined. On Thursday, and again on Friday, more than twice as many tickets were sold as were sold on Wednesday. Which bar graph could represent the ticket sales?⁷⁸

• A. (Graph showing Thursday and Friday sales both above 1,000)⁹¹⁰
• B.¹¹¹²
• C.¹³¹⁴
• D.¹⁵¹⁶

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Question 11¹⁷

An artist wants to paint a canvas based on a photograph that measures 4 inches by 5 inches. Based on the canvas prices listed in the¹⁸ table, the artist could use canvases at which prices to make a painting that is proportional to the photograph?

• Choice 1: $6.43 (8 by 10)
• Choice 2: $11.65 (16 by 20)¹⁹
• Choice 3: $18.47²⁰
• Choice 4: $22.80²¹

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Question 10²²

Anne plans to increase the prices of all the items in her store by 5%. To the nearest cent, how much will an artist save if the artist buys a canvas and a frame that each ²³measure 24 by 36 inches before the price increase goes into effect?

• A. $1.14
• B. $3.36
• C. $4.50
• D. $5.64

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Question 6

The equation $y = 45x$ represents the number of miles, $y$, Mr. Miller’s car can travel using ²⁴$x$ gallons of gas. Which data display represents a car that gets more miles per gallon than Mr. Miller’s car?²⁵

• A. (Table showing 2 gallons for 96 miles, 4 for 192, 6 for 288)²⁶
• B.²⁷
• C.²⁸
• D.²⁹