- 5164 is Praxis Middle School Mathematics, administered by ETS with 66 questions in 180 minutes.
- Numbers and Operations and Algebra tie as the largest domains, each worth 23% of the exam.
- About 30% of questions embed math content inside a "Task of Teaching Mathematics" context.
- Registration costs $130, and each state sets its own passing score on the 100-200 scale.
What Is Praxis Middle School Mathematics (5164)?
Praxis Middle School Mathematics (5164) is a content-knowledge licensure exam developed and administered by Educational Testing Service (ETS) as part of the broader Praxis testing system. It is designed to measure whether a candidate has the mathematical knowledge and pedagogical judgment needed to teach mathematics to students in grades roughly spanning upper elementary through early high school, depending on how a given state defines "middle school." States use 5164 scores as one component of the teacher licensure process, and each state independently decides what score counts as passing.
The exam is built around content aligned to the NCTM Standards for the Preparation of Middle Level Mathematics Teachers (2020) and to CAEP program-review expectations, with the current ETS Study Companion carrying a 2023 copyright. That alignment matters because it shapes not just which topics appear, but how they appear: 5164 is not simply a math test disguised as a licensure exam. It regularly asks candidates to think like a teacher, not just a mathematician.
If you landed here searching for a plain-language explanation of the credential itself, you may also want the companion piece What Is 5164? or the shorter definitional post 5164 Meaning, both of which cover the same core facts from a slightly different angle.
Who Takes This Exam and Why
Candidates pursuing licensure to teach middle-level or junior-high mathematics take 5164 because their state education agency requires a passing score as part of certification. Traditional teacher-preparation program graduates, alternative-certification candidates, and out-of-state teachers transferring credentials all encounter this test at some point in their licensure pathway. Because requirements vary by state, it's worth reviewing the specific prerequisites before you register - the 5164 Requirements 2026: Eligibility, Prerequisites & How to Qualify guide walks through eligibility details in more depth.
School districts hiring for middle school math positions typically list a passing Praxis score (or eligibility to obtain one) as a condition of employment, alongside a state teaching license. If you're evaluating whether this career path makes sense for you financially and professionally, the site's 5164 Jobs overview and Is the 5164 Certification Worth It? Complete ROI Analysis 2026 article both dig into that question without relying on borrowed statistics.
Exam Format, Timing, and Question Types
5164 consists of 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 exam, and it is delivered entirely by computer - either at a Praxis test center (including the Prometric network) or via at-home online proctoring, depending on availability and candidate preference.
The question formats go well beyond simple multiple choice. You'll encounter:
- Select-one and select-multiple items
- Numeric-entry and fraction-entry responses
- Select-an-area questions, where you click a region of a graph or diagram
- Drag-and-drop items
- Table-grid formats
- Text-completion questions
This format variety means familiarity with the interface matters almost as much as content mastery - a candidate who has never used a drag-and-drop or select-an-area question before test day will lose time figuring out the mechanics instead of solving the math. ETS provides an on-screen graphing calculator during the test, along with a reference sheet covering unit conversions and formulas for area, perimeter, circumference, volume, surface area, the quadratic formula, arithmetic sequences, the Pythagorean theorem, and interior angle sums. Knowing that these tools exist - and practicing with equivalents beforehand - is a meaningful part of readiness.
Key Takeaway
Because a reference sheet and graphing calculator are provided, memorizing formulas is less valuable than practicing how to apply them quickly within the on-screen tools.
The Five Content Domains
5164 content is organized into five domains, and their relative weight tells you where to spend your preparation time. For a full breakdown of subtopics inside each area, see the 5164 Exam Domains 2026: Complete Guide to All 5 Content Areas guide.
Domain 1: Numbers and Operations - 23% (about 16 questions)
This domain covers the number sense and operational fluency that underpin middle-level math: rational numbers, ratios, proportional relationships, and operations with fractions, decimals, and integers.
- Ties with Algebra as the single largest domain on the exam
Domain 2: Algebra - 23% (about 15 questions)
Expect expressions, equations, inequalities, and the reasoning skills needed to move between symbolic and verbal representations of algebraic relationships.
- Together with Numbers and Operations, these two domains make up nearly half the exam
Domain 3: Functions - 17%
This domain focuses on interpreting and representing functions across tables, graphs, equations, and verbal descriptions, along with recognizing patterns of change.
- Candidates should be comfortable translating between multiple representations of the same function
Domain 4: Geometry and Measurement - 20%
Covers area, perimeter, volume, surface area, transformations, and the Pythagorean theorem, drawing directly on the formulas listed on the provided reference sheet.
- The reference sheet reduces the memorization burden but not the application burden
Domain 5: Statistics and Probability - 17%
Includes data displays, measures of center and spread, and basic probability reasoning appropriate to a middle-level curriculum.
- Often underestimated relative to Algebra and Numbers and Operations, despite carrying real weight
Because Numbers and Operations and Algebra tie at 23% each and together approach half the total exam, a study plan that shortchanges either one is taking on unnecessary risk. If you're trying to gauge how challenging the exam is likely to feel given your own math background, How Hard Is the 5164 Exam? Complete Difficulty Guide 2026 breaks that down domain by domain.
The Task of Teaching Mathematics
The single most distinctive feature of 5164 - and the reason generic math review isn't sufficient preparation - is that roughly 30% of the questions embed content inside what ETS calls a "Task of Teaching Mathematics." Rather than simply asking you to solve a problem, these items ask you to reason about how a student might solve it, or fail to.
Concretely, this task category asks candidates to:
- Evaluate sample student work for correctness and reasoning quality
- Judge whether a student's explanation or justification is mathematically sound
- Select useful examples and nonexamples to illustrate a concept
- Assess whether a representation or model accurately captures a mathematical idea
- Diagnose likely misconceptions behind an incorrect student response
This means a candidate who can solve every equation on the exam but has never practiced looking at flawed student work will still struggle with a meaningful chunk of the test. Effective preparation has to include time spent analyzing sample responses, not just solving problems independently.
Registration, Fees, and Test Delivery
Registering for 5164 through ETS costs $130. If you need to change your test date or testing location after registering, expect an additional fee of about $40. Test delivery happens at Praxis test centers, including those in the Prometric network, or through at-home online proctoring for candidates who qualify and prefer that option.
For a full accounting of what the credential actually costs once you factor in preparation materials, potential retakes, and score-reporting logistics, see 5164 Certification Cost 2026: Complete Pricing Breakdown. And because testing appointments fill up and windows shift, it's worth checking 5164 Exam Dates 2026: Testing Windows, Deadlines & Scheduling before you lock in a plan tied to a hiring deadline.
Scoring, Retakes, and Reporting
Praxis exams, including 5164, report scores on a 100-200 scale. There is no single national passing score - each state sets its own threshold, so a score that clears one state's requirement may not clear another's. Before you test, confirm the number your state requires; the 5164 Passing Score 2026: Exactly What You Need to Pass article walks through how to find and interpret your state's specific requirement.
Every registration includes four free score recipients, meaning you can send your official results to up to four institutions or agencies without an extra fee. Scores remain reportable for 10 years, which is useful if you relocate or pause your licensure process and return to it later.
If you don't pass on your first attempt, ETS requires a 28-day wait before you can retake the exam. That waiting period is a real scheduling constraint - plan around it rather than assuming you can simply re-register the next week. For context on how common it is to need a second attempt, and how to think about that possibility without relying on invented numbers, see 5164 Pass Rate 2026: What the Data Shows.
| Exam Detail | Specification |
|---|---|
| Registration fee | $130 |
| Date/location change fee | About $40 |
| Total questions | 66 (includes unscored pretest items) |
| Time limit | 180 minutes |
| Delivery mode | Computer-based; test center or at-home online proctored |
| Score scale | 100-200 (passing score set by each state) |
| Retake wait time | 28 days |
| Score validity | 10 years |
| Free score recipients | 4 |
How to Approach Preparation
Because the exam splits so clearly into content domains and a teaching-reasoning layer, an effective plan treats those as two separate skills to build rather than one. Standard study techniques like spaced repetition or timed practice sets are useful, but only when they're mapped onto the specific weight of each 5164 domain rather than applied generically.
Numbers and Operations + Algebra
- These tie at 23% each and together approach half the exam, so front-load review here
- Practice fraction-entry and numeric-entry formats specifically, since these question types appear disproportionately in this content
Geometry and Measurement + Functions
- Work through problems using the actual reference sheet formulas so recall isn't the bottleneck
- Practice translating functions between table, graph, and equation form
Statistics and Probability + Teaching Task Practice
- Don't skip this domain just because it's weighted at 17% - it's still nearly one in five questions
- Dedicate specific sessions to analyzing sample student work and identifying misconceptions, since this skill cuts across every domain
Full-Length Practice and Format Familiarity
- Take timed practice sets that include drag-and-drop, select-an-area, and table-grid items so the interface feels routine
- Review weak domains identified during practice rather than restarting from scratch
For a more detailed week-by-week breakdown with specific resource recommendations, the 5164 Study Guide 2026: How to Pass on Your First Attempt article expands significantly on this framework. It's also worth keeping a condensed reference nearby in the final days before your test - the 5164 Cheat Sheet 2026: One-Page Review of Must-Know Facts is built for exactly that purpose.
Running full-length timed practice under realistic conditions is one of the most reliable ways to convert content knowledge into exam performance, since the format variety and 180-minute limit both reward familiarity. You can build that familiarity using the practice resources on the main site, which mirror the question formats described above.
Frequently Asked Questions
5164 is the test code ETS assigns to the Praxis Middle School Mathematics exam. It isn't an acronym for a phrase - it's simply the identifying number within the Praxis testing system. See What Does 5164 Stand For? for more on the naming convention.
The exam contains 66 selected-response and numeric-entry questions, some of which are unscored pretest items, and candidates are given 180 minutes to complete it.
Numbers and Operations and Algebra tie as the largest domains at 23% each, together making up nearly half the exam, so they generally deserve the most preparation time if you must prioritize.
Both. Roughly 30% of questions place math content inside a "Task of Teaching Mathematics," asking you to evaluate student work, judge explanations, and identify likely misconceptions rather than just solve problems.
You must wait 28 days before retaking the exam. Your state's specific passing score determines whether your result clears the bar, since Praxis scores are reported on a 100-200 scale with no single national cutoff.