GACE Mathematics (6-12) Practice Test

Free GACE Mathematics (6-12) Practice Test (updated 2025)

The Georgia Assessments for the Certification of Educators (GACE) Mathematics examination is designed to assess the knowledge and skills of individuals seeking admission to an educator preparation program, certification in Georgia, or wanting to become qualified in teaching 6th-12th-grade mathematics.

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Exam Eligibility

If you are seeking admission or are enrolled in a Georgia state-approved teacher preparation program, you must have approval from your program provider to take the exam. Individuals who have completed a teacher education program or seek state certification will use their Georgia Professional Standards Commission (MyPSC) account.

GACE Mathematics Exam Outline

The GACE Mathematics (6-12) assessment is made of six testlets, which you can take individually in different sessions or all at once in one session. The total combined time limit is 5 hours, and the total number of questions is 145.

Mathematical Processes and Number Sense

(Testlet 209)

There are 20 questions in this testlet, and you’ll be timed at 45 minutes. These questions test your knowledge and abilities regarding the following:

• Using estimation in a variety of situations
• Solving problems involving integers, rational numbers, decimals, and percents
• Solving problems involving ratios, proportions, and average rates of change
• Translating multiple representations
• Identifying viable arguments
• Solving multi-step problems
• Analyzing the group structure of real numbers
• Using complex numbers and their operations
• Properties of numbers and operations
• Principles of basic number theory

Algebra and Functions

(Testlet 210)

There are 30 questions in this testlet, and you’ll be timed at 1 hour. These questions test your knowledge and abilities regarding the following:

• The relationship between a linear, quadratic, or higher-order polynomial function and its graph
• Manipulating algebraic expressions, equations, and inequalities
• Solving systems of linear equations and inequalities
• Modeling application-based problems in contexts that are familiar to residents of Georgia
• Determining inverses and compositions of algebraic functions
• Laws of exponents and logarithms
• Exponential and logarithmic functions and their graphs
• Manipulating rational, radical, and absolute value expressions

Measurement and Geometry

(Testlet 211)

There are 25 questions in this testlet, and you’ll be timed at 1 hour. These questions test your knowledge and abilities regarding the following:

• Various units and unit conversions
• The concepts of similarity, scale factors, and proportional reasoning
• Precision, error, and rounding in measurements and computed quantities
• The concepts of perimeter, circumference, area, surface area, and volume
• Using nets and cross sections to analyze 3D figures
• The axioms of Euclidean and non-Euclidean geometries
• Properties of polygons and circles
• Analyzing formal and informal geometric proofs
• The concepts of distance, midpoint, and slope
• Performing transformations and identifying symmetries

Trigonometry and Calculus

(Testlet 212)

There are 20 questions in this testlet, and you’ll be timed at 45 minutes. These questions test your knowledge and abilities regarding the following:

• Characteristics of and relationships between sine, cosine, and tangent functions and their inverses
• Solving problems involving distance, angles, and the unit circle
• Manipulating trig expressions and equations
• The laws of sine and cosine
• Analyzing conic sections algebraically
• Evaluating limits with and without bound
• Points of discontinuity
• Calculating the derivatives of functions
• Analyzing graphs of functions
• Solving problems involving rates of change and optimization
• Calculating integrals of functions

Statistics and Probability

(Testlet 213)

There are 20 questions in this testlet, and you’ll be timed at 45 minutes. These questions test your knowledge and abilities regarding the following:

• Using visual representations to organize and display data
• Analyzing the use of measures of central tendency and variability
• Analyzing the effects of bias and sampling techniques
• Counting principles
• The concepts of permutations and combinations
• Determining probabilities of simple and compound events
• Selecting simulations that model application-based events
• Analyzing uniform, binomial, and normal probability distributions

Financial Literacy

(Testlet 501)

There are 30 questions in this testlet, and you’ll be timed at 45 minutes. These questions test your knowledge and abilities regarding the following:

• Principles of financial responsibility, decision-making, and planning
• Tools used to inform consumers and manage risk
• Principles of investing
• Managing credit and debt

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Registration

To register for the GACE Mathematics (6-12) exam, you need to create a MyPSC account. Once you’ve created your account, you’ll receive your Georgia certification ID number and be able to submit a request for testing eligibility.

Once you have been approved for the Mathematics (6-12) exam, you can register to take the test by creating an Evaluation Systems GACE testing account.

Fees

You can register to take the testlets individually ($25.50-$43.00) or combined ($169). Individuals taking the GACE exam at an international testing site are subject to an additional $50 test site fee.

Test Day

On exam day, you should report to the testing center 30 minutes before your scheduled exam. If you arrive later than the listed reporting time on your admission ticket, you will not be able to take the exam and your testing fees will be forfeited.

You will be asked to provide at least one form of valid identification, which must contain your photo and signature.

Once the check-in process is complete, you will be asked to place all personal items (cell phone, keys, wallet, bags, etc.) in a secure locker outside the testing room.

Once you are ready, the proctor will lead you to the testing area and provide some short instructions before starting the exam.

How the Exam is Scored

When you have completed your exam, you are given the option to report or cancel your scores. They cannot be reinstated if you choose to cancel your scores.

You should also receive an unofficial score report right after the exam. Your official report will be made available about three weeks after the testing window closes.

Passing Score

Your final score for the full exam will be a scaled score between 100 and 300. For the GACE Mathematics (6-12) exam, the passing score is 220.

Retaking the Exam

If you wish to retake the exam, you must wait at least 30 days.

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By Eric Richter

Eric is the Product Development Manager responsible for developing and updating the Mometrix Teacher Certification and K-12 products. Eric has a bachelor’s degree in Sociology and a master’s of education in Teaching ESOL.

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