- The 5164 has 66 questions, a 180-minute limit, and costs $130 to register through ETS.
- Numbers and Operations and Algebra tie as the largest domains at 23% each.
- About 30% of questions embed math content inside a Task of Teaching Mathematics.
- An on-screen graphing calculator and a formula/conversion reference sheet are provided.
What Is the 5164 Certification?
Praxis Middle School Mathematics (5164) is a content-and-pedagogy licensure exam administered by Educational Testing Service (ETS) through the Praxis testing program. It is designed to measure whether a candidate has the mathematical knowledge and instructional judgment needed to teach mathematics at the middle school level. Unlike a purely academic math exam, the 5164 blends traditional problem-solving with questions that ask candidates to think like a classroom teacher - interpreting student work, spotting misconceptions, and choosing appropriate examples.
The test is delivered on computer at Praxis test centers, including the Prometric network, and it is also available through at-home online proctoring for candidates who qualify. If you're still getting oriented to what this credential actually covers, the What Is 5164? and 5164 Meaning guides walk through the basics in more depth, and What Does 5164 Stand For? clarifies the naming convention ETS uses for Praxis subject assessments.
Exam Format and Question Types
The 5164 contains 66 selected-response and numeric-entry questions, some of which are unscored pretest items used by ETS to evaluate future test content. Candidates have 180 minutes to complete the entire test, and everything is delivered on computer - there is no paper-and-pencil version.
The question formats go well beyond simple multiple choice. You'll encounter:
- Select-one and select-multiple items
- Numeric entry and fraction entry
- Select-an-area questions (clicking a region of a figure or graph)
- Drag-and-drop items
- Table-grid formats
- Text-completion questions
An on-screen graphing calculator is provided during the test, along with a reference sheet covering unit conversions and key formulas - area, perimeter, circumference, volume, surface area, the quadratic formula, arithmetic sequences, the Pythagorean theorem, and interior angle sums. This means you don't need to memorize every formula cold, but you do need to know when and how to apply each one quickly, since the reference sheet only helps if you already recognize which formula a question requires.
Key Takeaway
Practice using an on-screen graphing calculator and a printed formula sheet under timed conditions before test day - the format itself takes some getting used to, separate from the math content.
The Five Content Domains
Content on the 5164 is organized into five domains, each weighted differently. Understanding these weights should directly shape how you allocate study time.
Domain 1: Numbers and Operations (23%)
The largest domain, covering roughly 16 questions. Expect items on rational numbers, ratios, proportional reasoning, place value, number theory, and operations with fractions, decimals, and integers - often framed through a student's incorrect answer that you must diagnose.
- Ratio and proportion reasoning
- Fraction and decimal operations, including error analysis
- Properties of operations and number systems
Domain 2: Algebra (23%)
Tied for the largest domain at about 15 questions. Covers expressions, equations, inequalities, and the transition from arithmetic to symbolic reasoning that defines middle-grades algebra instruction.
- Solving and interpreting linear equations and inequalities
- Writing and simplifying algebraic expressions
- Representing patterns and relationships symbolically
Domain 3: Functions (17%)
Focuses on function concepts appropriate for middle grades: identifying functions, interpreting graphs, and connecting tables, equations, and graphs to real situations.
- Linear and nonlinear function behavior
- Multiple representations of the same function
- Rate of change and slope in applied contexts
Domain 4: Geometry and Measurement (20%)
Draws heavily on the formulas provided in the reference sheet, but tests whether you can apply them to composite figures, scale drawings, and measurement conversion problems.
- Area, perimeter, volume, and surface area of composite shapes
- The Pythagorean theorem and coordinate geometry
- Angle relationships and interior angle sums
Domain 5: Statistics and Probability (17%)
Covers data displays, measures of center and spread, and probability reasoning, often paired with a scenario asking you to evaluate a student's interpretation of a graph or data set.
- Mean, median, mode, and variability
- Reading and critiquing data displays
- Simple and compound probability
Numbers and Operations and Algebra together account for nearly half the exam, so a study plan that shortchanges either one carries real risk. For a fuller breakdown of subtopics inside each domain, see the 5164 Exam Domains 2026: Complete Guide to All 5 Content Areas.
| Domain | Weight | Approx. Questions |
|---|---|---|
| Numbers and Operations | 23% | ~16 |
| Algebra | 23% | ~15 |
| Geometry and Measurement | 20% | ~13 |
| Functions | 17% | ~11 |
| Statistics and Probability | 17% | ~11 |
Why the Teaching Task Matters So Much
The single most distinctive feature of the 5164 is that roughly 30% of the test embeds mathematics content inside what ETS calls a Task of Teaching Mathematics. These items don't just ask you to solve a problem - they ask you to think about instruction:
- Evaluating a piece of student work for correctness and reasoning
- Judging whether a student's explanation or justification is mathematically valid
- Selecting a useful example or nonexample to illustrate a concept
- Assessing whether a representation or model correctly captures a mathematical idea
- Diagnosing a likely misconception behind a wrong answer
This pedagogical layer is why the 5164 feels different from a standard math test, and it's also where many candidates lose points even when their own math skills are strong. Content alignment comes from the NCTM Standards for the Preparation of Middle Level Mathematics Teachers (2020) and CAEP, and the current ETS Study Companion carries a 2023 copyright - meaning the framework behind these teaching-focused items is deliberate and standards-based, not incidental.
Registration, Fees, and Scheduling
Registering for the 5164 costs $130, the same fee for all candidates regardless of state. If you need to change your test date or testing center after registering, expect an additional fee of about $40. Because rescheduling isn't free, it pays to lock in a realistic date only once your preparation is on track.
The exam is offered through the Praxis test-center network, including Prometric locations, and also through at-home online proctoring, which gives candidates more flexibility in choosing a testing date. For a full walkthrough of the registration process, eligibility windows, and how to pick a testing appointment, see 5164 Exam Dates 2026: Testing Windows, Deadlines & Scheduling and 5164 Requirements 2026: Eligibility, Prerequisites & How to Qualify.
A detailed cost breakdown - including how the base fee compares to rescheduling fees and other potential expenses - is available in 5164 Certification Cost 2026: Complete Pricing Breakdown.
Scoring, Retakes, and Reporting
Praxis exams, including the 5164, use a 100-200 scale, and each state sets its own required passing score for licensure purposes. That means there is no single universal "passing score" - you need to check the requirement for the state where you intend to teach. The 5164 Passing Score 2026: Exactly What You Need to Pass guide breaks down how to find your state's threshold.
Every registration includes four free score recipients, so you can send your results to multiple institutions or state agencies at no extra cost. If you don't pass on your first attempt, ETS requires a 28-day waiting period before you can retake the test. Once scored, results remain reportable for 10 years, which is useful if you relocate or apply for certification in a new state down the line.
Key Takeaway
Because retakes require a mandatory 28-day wait, treat your first attempt as the one that counts - thorough domain-by-domain preparation upfront is far more efficient than planning to "test and adjust."
Who Takes the 5164 and Why
Candidates pursuing middle school mathematics teaching licensure in states that require or accept the Praxis Middle School Mathematics exam typically take the 5164 as part of their certification pathway. It's commonly required for teacher preparation program completers, career-changers entering teaching through alternative certification routes, and out-of-state teachers seeking reciprocity in a new state. School districts hiring for middle grades math positions often list this Praxis score as a prerequisite for full licensure.
If you're weighing whether pursuing this credential fits your career goals, Is the 5164 Certification Worth It? Complete ROI Analysis 2026 and 5164 Jobs discuss the practical employment context in more detail, while 5164 Salary Guide 2026: Complete Earnings Analysis covers compensation considerations tied to this specific licensure path. For those still deciding whether this is the right credential at all, What Is 5164 Certification? and What Is A 5164? offer additional grounding.
Building a Domain-Aligned Prep Plan
Because Numbers and Operations and Algebra together make up nearly half the test, an efficient study sequence front-loads those two domains, then works through Geometry and Measurement, Functions, and Statistics and Probability before finishing with mixed review and full-length timed practice.
Numbers and Operations + Algebra
- Drill ratio, proportion, and fraction/decimal operations with an eye toward common student errors
- Practice solving and interpreting linear equations and inequalities
Geometry and Measurement + Functions
- Memorize when to apply each reference-sheet formula, not just how
- Work through table, graph, and equation representations of the same function
Statistics and Probability
- Practice critiquing data displays and identifying flawed statistical reasoning
Teaching Task Integration + Full Practice Test
- Review practice items specifically for misconception-diagnosis and example-selection formats
- Take a full 180-minute timed practice exam under real test conditions
A more granular, week-by-week study plan - including how to pace review sessions and when to schedule full practice exams - is laid out in the 5164 Study Guide 2026: How to Pass on Your First Attempt. If you want a quick-reference summary of must-know formulas and concepts to review the night before your test, the 5164 Cheat Sheet 2026: One-Page Review of Must-Know Facts condenses the highest-yield material into one page.
To gauge how much preparation time you realistically need, it also helps to understand where most candidates struggle. How Hard Is the 5164 Exam? Complete Difficulty Guide 2026 and 5164 Pass Rate 2026: What the Data Shows both dig into what the exam's difficulty actually looks like in practice. Running timed sets on our practice test platform before your real exam date is one of the most direct ways to see how your pacing and accuracy hold up across all five domains under the 180-minute limit.
Frequently Asked Questions
The 5164 contains 66 selected-response and numeric-entry questions, including unscored pretest items, with a 180-minute time limit on computer.
About 30% of the exam places math content inside a Task of Teaching Mathematics, requiring candidates to evaluate student work, judge explanations, and diagnose misconceptions rather than just solve problems.
Numbers and Operations and Algebra each carry 23% weight and together make up nearly half the exam, making them the highest-priority domains for study time.
Registration is $130 for all candidates. Changing your test date or location afterward costs an additional fee of about $40.
ETS requires a 28-day waiting period between attempts, and your scores remain reportable for 10 years once you do pass.