GED Math Practice Test 3: Advanced Math Challenges

Last Updated on June 10, 2024

GED Math Practice Test 3: Advanced Math Challenges. Challenge yourself with our GED Math Practice Test 3, featuring advanced math problems: access free printable questions and solutions to excel in your GED exam prep.

Our practice test offers more complex math problems, step-by-step solutions, and advanced practice exercises. Use these resources to enhance your math skills and increase your chances of achieving a high score on the 2024 GED test.

Advanced math challenges in the GED Math test include complex problem-solving, higher-order algebra, advanced geometry, and trigonometry. This section evaluates your ability to solve more sophisticated mathematical problems, often involving multiple steps and higher-level concepts.

Advanced Math covers quadratic equations, exponential functions, systems of equations, geometry involving circles and triangles, and basic trigonometry. Mastery of these areas is essential for tackling the most challenging questions on the GED Math test.

Test Name	GED Practice Test
GED full form	General Educational Development
Subject Name	Mathematics
Mode of Exam	Computer-based adaptive test
Test Type	Math Sample / Mock Test 3
Available Printable PDF	YES (Download link is given below)
Total Question (MCQs)	35
Available of Answers	YES
Explanation	YES
Topics	Basic Math Geometry Basic Algebra Graphs and Functions

Table of Contents

GED Math Practice Test 3

1. Where does the line with the equation x – 2y =4 intersect with the line with the equation 6y + 5x =4.

A) (2, 1)
B) (1, 2)
C) (2, -1)
D) (1, -2)

2. Find the solution to the equations y= 3x – 15 and x + y = 13.

A) (3, 6)
B) (7, 6)
C) (7, -14)
D) (6, -7)

3. Which of the following is an equation of a line that intersects with the line y = 4x + 2?

A) y= -4x + 2
B) y= -2x + 2
C) y= 8x + 2
D) y= -4x – 2

4. A chef will make a soup with five ingredients: one of four meats, one of four vegetables, one of four kinds of noodles, one of four kinds of broth, and one of four spices. How many different combinations of ingredients could the chef put into the soup?

A) 16
B) 32
C) 512
D)1024

5. Soraya has been given six tasks to do at work, but she has time to complete only four of them. She must decide in what order to do the tasks. How many possible orderings of four tasks are available to Soraya?

A) 90
B) 180
C) 360
D) 720

6. A club with 24 members is forming a three-person committee to plan a fund-raiser. What is the number of different three-person committees that can be formed?

A) 2
B) 123
C) 1024
D) 2024

7. A minor-league baseball team is giving a local charity the sum of $1500 and $0.50 for 2000 sold or one game. Let t represent the number of tickets sold. If the team sells more than 2000 tickets, which of the following expressions could be used to find the amount of the donation?

A. $1500 + $0.50t
B. $1500 + $0.50(2000-t)
C. $1500 + $0.50(t- 2000)
D. $1500 + (200-t)($0.50)

8. What is the value of 36x—8y2 when x = 3 and y = -6?

A. -180
B. -390
C. 1390
D. 1180

9. Annie is planning a business meeting for her company. She has a budget of $1,325 for renting a meeting room at a local hotel and providing lunch. She expects 26 people to attend the meeting. The cost of renting the meeting room is $270. Which inequality shows how to find the amount, x, Annie can spend on lunch for each perso?

A) 26x + 270 ≥ 1,325
B) 26x + 270 ≤ 1,325
C) 270x + 26 ≥ 1,325
D) 270x + 26 ≤ 1,325

10. 4. There are s steps from the pedestal to the head of the Statue of Liberty. The number of steps in the Washin ton Monument is 2 le s than 6 times the number of the in the Statue of Libert. Which expression represents the number of steps in the Washington Monument in terms of s?

A) 6s -27
B) 27 < 6s
C) 6(s + 27)
D) 6s < 27

11. The Chimney Sweep charges $25 for a chimney inspection. If the customer purchases additional services, $15 of the inspection fee is deducted. Let s represent the cost of any additional services. The total cost, C, of an inspection and services can be determined by the function C= $25 + (s – $15) where s is greater than 0.

After an inspection, Ahmed decides to have a new damper installed for $255. How much will he pay?

A) $115
B) $265
C) $315
D) $515

Answers:

C, 2. B, 3. 1, 4, D, 5. C, 6. D, 7. C, 8. A, 9. B, 10. A, 11. B,

In-depth Explanations of Concepts

Quadratic Equations

Standard Form: $a x^{2} + b x + c = 0$
Factoring: Breaking down the quadratic equation into factors.
Quadratic Formula: $x = 2 a - b \pm b ^{2} - 4 a c$

Completing the Square: Rewriting the equation to make it easier to solve.

Exponential Functions

Understanding Exponents: The basic principles of exponents.
Exponential Growth and Decay: Modeling real-world scenarios using exponential functions.
Solving Exponential Equations: Using logarithms and other methods to solve equations involving exponents.

Systems of Equations

Solving by Substitution: Replacing one variable with an equivalent expression.
Solving by Elimination: Adding or subtracting equations to eliminate a variable.
Graphical Solutions: Finding the point of intersection of two lines on a graph.

Geometry

Circles: Calculating circumference, area, and understanding arc lengths and sectors.
Triangles: Using the Pythagorean theorem, understanding special triangles (e.g., 45-45-90, 30-60-90), and calculating area and perimeter.
Coordinate Geometry: Working with distances, midpoints, and slopes on the coordinate plane.

Trigonometry

Basic Trigonometric Ratios: Sine, cosine, and tangent.
Solving Right Triangles: Using trigonometric ratios to find unknown sides and angles.
Unit Circle: Understanding the unit circle and its applications.

See also:

Sample Math Tests

Equations and Inequalities

Algebraic Expressions

Fractions and Decimals