GACE Mathematics (6-12) Practice Test

If you need help studying for the GACE Mathematics test or just want some more information about what the test is like, you’ve come to the right place!

Click below to take a free GACE Mathematics practice test!

What’s on the Test?

Questions: 145
Time limit: 5 hours

 
The GACE Mathematics (6-12) test contains 145 multiple-choice questions and is timed at 5 hours.

The exam is split into six testlets, which are taken in separate testing sessions (but can be taken on the same day if you’d like).


Mathematical Processes and Number Sense (209)
20 questions | 45 minutes

  • Using estimation
  • Solving multi-step problems
  • Integers, rational numbers, decimals, and percents
  • Ratios, proportions, and average rates of change
  • Identifying viable arguments
  • Analyzing the group structure of real numbers
  • Using complex numbers and their operations
  • Basic number theory

Algebra and Functions (210)
30 questions | 1 hour

  • Linear, quadratic, and higher-order polynomial functions and their graphs
  • Exponential and logarithmic functions and their graphs
  • Systems of linear equations and inequalities
  • Determining inverses and compositions of algebraic functions
  • Laws of exponents and logarithms
  • Manipulating rational, radical, and absolute value expressions
  • Manipulating algebraic expressions, equations, and inequalities

Measurement and Geometry (211)
25 questions | 1 hour

  • Units and unit conversions
  • Similarity, scale factors, and proportional reasoning
  • Perimeter, circumference, area, surface area, and volume
  • Properties of polygons and circles
  • Precision, error, and rounding in measurements and computed quantities
  • Using nets and cross sections to analyze 3D figures
  • Euclidean and non-Euclidean geometries
  • Formal and informal geometric proofs
  • Distance, midpoint, and slope
  • Performing transformations
  • Identifying symmetries

Trigonometry and Calculus (212)
20 questions | 45 minutes

  • Sine, cosine, and tangent functions and their inverses
  • Distance, angles, and the unit circle
  • Manipulating trigonometry expressions and equations
  • The laws of sine and cosine
  • Analyzing conic sections
  • Evaluating limits
  • Points of discontinuity
  • Calculating the derivatives of functions
  • Analyzing graphs of functions
  • Rates of change and optimization
  • Calculating integrals of functions

Statistics and Probability (213)
20 questions | 45 minutes

  • Organizing and displaying data visually
  • Measures of central tendency and variability
  • The effects of bias and sampling techniques
  • Permutations and combinations
  • Probabilities of simple and compound events
  • Selecting simulations that model application-based events
  • Uniform, binomial, and normal probability distributions

Financial Literacy (501)
30 questions | 45 minutes

  • Financial responsibility, decision-making, and planning
  • Investing principles
  • Managing credit and debt
  • Tools used to inform consumers and manage risk

How to Register

To get started with the registration process, you’ll need to create a MyPSC account on the GaPSC website. You should receive a Georgia Certification ID (GA CERT ID) during this process, which you’ll use for identification throughout the registration and testing process.

The next step is to create an Evaluation Systems GACE account. This account will allow you to register for the exam and pay the testing fee(s). If you take each subtest separately, the fee is $25.50 for each testlet. If you take all six testlets together, the fee is $169.

GACE Mathematics Study Guide and Flashcards

Get practice questions, detailed study lessons, and complex subjects broken down into easily understandable concepts.

Study Guide

How the Exam is Scored

The GACE Mathematics test is scored using a scaled scoring method. Here’s how it works:

Scaled Scoring
For every question you answer correctly, you get one point added to your raw score. At the end of the test, your final raw score will be converted to a scaled score.

You’ll need to get a final score of at least 220 to pass the exam.

 
The reason your raw score is converted to a scaled score is because everyone that takes the test is given a slightly different set of questions. Since everyone has a different arrangement of questions, and because some questions are harder than others, converting your raw score to a scaled score ensures a more even playing field.

Retaking the Exam

If you don’t get the score you want on your first try, that’s okay! You can take the exam again after a mandatory 30-day waiting period.

FAQs

Q

How many questions are on the GACE Mathematics exam?

A

The exam contains 145 questions.

Q

What is the time limit for the GACE Mathematics exam?

A

The exam is timed at 5 hours.

Q

What is the passing score for the GACE Mathematics exam?

A

You’ll need to get a final score of at least 220 to pass the exam.

Q

How much does the GACE Mathematics exam cost?

A

The examination fee is $169.

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