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Praxis 5165 is a computer-based exam designed to evaluate a candidate’s understanding of the major content areas taught in secondary mathematics. It is commonly required for those seeking certification to teach high school mathematics. The test measures mastery of mathematical principles rather than teaching strategies, focusing on problem solving, conceptual understanding, and application of mathematical concepts.
Praxis® Mathematics (5165) Practice Test
The Praxis Mathematics (5165) exam evaluates the mathematical knowledge and instructional skills required for aspiring middle and high school mathematics teachers. This exam is essential for certification in many states and covers a wide range of math domains, including algebra, calculus, geometry, statistics, and probability.
Prepare for your Praxis® Mathematics (5165) exam with our comprehensive practice test questions, study tips, and step-by-step resources designed to help you score your best. At Prepsaret, we offer free practice tests, study guides, and flashcards to ensure you walk into test day fully prepared.
Praxis Mathematics Exam Test Format and Structure
The Praxis Mathematics test gives you 3 hours to answer 66 selected-response questions. These questions can come in several formats, and you may encounter any blend of them during the exam.
- Drag-and-drop
- Single-selection multiple-choice
- Drop-down
- Numeric entry
- Sentence selection
- Hot spot
Basic Test Information
- Test Code: 5165
- Number of Questions: 66 selected-response & numeric-entry questions
- Time Limit: 2.5 hours
- Test Format: Computer-delivered
Question Types: Multiple-choice, numeric entry, and the use of an on-screen graphing calculator
Scoring Information
The Praxis Mathematics (5165) uses a scaled scoring system. Most states require a passing scaled score of 159, but requirements vary by state. Unofficial scores are typically available immediately upon completion of the exam, while official score reports are released approximately 10–16 business days after your test date.
The examination fee is $130. To register, create an Educational Testing Service (ETS) account and select either remote testing or an in-person testing center, along with your preferred date and location.
Praxis Mathematics (5165) Exam Outline
The exam includes four major content categories:
I. Number & Quantity and Algebra (20 Questions)
This category assesses your understanding of:
- The structure of the real number system
- Properties of radicals and rational exponents
- Quantitative reasoning
- The structure of the complex number system
- Writing algebraic expressions in equivalent forms
- Creating equations and inequalities that describe relationships
- Varied techniques used to solve equations and inequalities
- Varied techniques used to solve systems of equations and inequalities
- Rate of change of nonlinear functions
- Extracting and interpreting information about linear equations when presented in various forms
- The relationship between zeros of polynomial functions and factors of the related polynomial expressions
- Rewriting rational expressions
- Justifying the reasoning process used to solve equations
II. Geometry (13 Questions)
Expect questions related to:
- The properties of lines and angles
- The properties of triangles, quadrilaterals, and other polygons
- Transformations in the plane
- Congruence and similarity
- Proving geometric theorems
- Applying trigonometry to triangles
- Applying theorems about circles
- Using coordinate geometry to describe properties of geometric objects
- Solving problems involving perimeter and area
- Solving problems involving solids
III. Statistics & Probability (13 Questions)
Topics include:
- Making inferences and justifying conclusions
- Summarizing, representing, and interpreting data collected from measurements on one or more variables
- Creating and interpreting linear regression models
- The concept of independence
- Computing probabilities of compound events
- Finding probabilities involving finite sample spaces and independent trials
- Making informed decisions using probabilities and expected values
- Normal distributions
IV. Function and Calculus (2O Questions)
This section evaluates:
- Functions and function notation
- Analyzing function behavior
- Using functions and relations to model relationships between quantities
- Obtaining new functions from existing ones
- Differences between linear, quadratic, and exponential models
- Using logarithms to solve problems
- The relationship between points on the unit circle and the values of trigonometric functions for any given angle measure
- Using trigonometric functions to model periodic phenomena
- The meaning of a limit of a function
- Calculating limits of functions and conditions
- The derivative of a function as a limit, as the slop of a line tangent to a curve, and as a rate of change
- The relationship between continuity and differentiability
- How and when to use standard differentiation and integration techniques
- Analyzing the behavior of a function
III. Statistics & Probability (13 Questions)
Topics include:
- Making inferences and justifying conclusions
- Summarizing, representing, and interpreting data collected from measurements on one or more variables
- Creating and interpreting linear regression models
- The concept of independence
- Computing probabilities of compound events
- Finding probabilities involving finite sample spaces and independent trials
- Making informed decisions using probabilities and expected values
- Normal distributions
Free Praxis Mathematics (5165) Practice Test
Start preparing with our free diagnostic practice test. Identify your strengths, pinpoint your weak areas, and track your progress as you build mastery over the exam content.
Additional Resources
Study Guide:
Explore essential concepts, worked examples, and exam-ready explanations in our full Praxis Mathematics Study Guide.
Flashcards:
Test your memory and reinforce key formulas and definitions with our easy-to-use Praxis Mathematics Flashcards.
Online Course:
Get structured video lessons, practice quizzes, and in-depth walkthroughs designed by expert educators.
Why Choose Prepsaret?
At Prepsaret, we’re committed to helping future teachers succeed. Our prep materials are crafted to:
- Break complex math topics into simple, digestible explanations
- Provide exam-style practice questions with step-by-step solutions
- Teach proven test-taking strategies that boost confidence
- Support learners at every level, from basic review to advanced preparation
All materials are developed by certified teachers, mathematics specialists, and test-prep experts who understand what it takes to pass the 5165 exam.
Prepsaret is not affiliated with or endorsed by the Educational Testing Service (ETS). All organizational and test names are trademarks of their respective owners.
Get Started Today
Prepare smarter with our expert-crafted resources. Begin with our free practice test, explore the study guide, and strengthen your skills with flashcards to ensure you're fully ready for test day.
Testimonials
What do our clients say?
I struggled with the Praxis 5165 at first, but switching to Prepsaret completely changed my prep. The practice tests showed me exactly where I was weak, and the study guide explained things in a way I actually understood. I used the flashcards every night. By test day I felt confident for the first time—and I passed with room to spare.
Sarah M.
I needed a structured way to study for the Praxis Math 5165, and Prepsaret gave me exactly that. The diagnostic test helped me see what topics I kept missing, especially geometry and calculus. Their step-by-step solutions made all the difference. I followed their plan for six weeks, and honestly, that consistency is what helped me finally pass.
Jason T.
After failing the Praxis Math once, I was really discouraged. A coworker recommended Prepsaret, and it was the best decision I made. The questions looked and felt like the real exam, and the explanations helped me understand why the answers were right. I studied a little each day and used the flashcards on breaks. I passed on my next attempt!
Monique R.
As someone who’s been out of school for years, jumping into Praxis 5165 prep was intimidating. Prepsaret’s materials broke everything down into plain language, especially the calculus section. The free practice test showed me exactly where to start, and their study guide kept me focused.
David L.
FAQs About Praxis Mathematics (5165)
The Praxis Mathematics exam measures the knowledge and skills needed to teach middle and secondary mathematics, covering algebra, geometry, statistics, calculus, and more.
There are 66 selected-response and numeric-entry questions.
You will have 2 hours and 30 minutes to complete the exam
Passing scores vary by state, but many require 159. Check your state’s specific licensure requirements.
The fee is $130.
Create an ETS account, choose remote or test-center delivery, select your preferred date/location, and submit payment.
The exam covers five categories:
- Number & Quantity
- Algebra
- Geometry
- Statistics & Probability
- Calculus
Your raw score (questions answered correctly) is converted to a scaled score. Your state determines what qualifies as a passing score.
Official score reports are usually available 10–16 business days after testing.
Yes. ETS allows remote proctoring for eligible candidates.
We offer free practice tests, complete study guides, flashcards, and an online course to help you master key concepts and build confidence.
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