Teaching & Education • Exam
Praxis Geometry (5163)
Praxis Geometry (5163) — Education & Teaching credential from ETS
Researched and maintained by TestPrepPilot Editorial BoardTeacher licensure & education certifications desk · Figures last verified August 2026
The short version
What is the Praxis Geometry (5163) and is it worth it?
Praxis Geometry (5163) is a professional credential administered by ETS. It validates job-ready knowledge and skills in the Education & Teaching field and is used for career entry, advancement, or compliance.
- Recognized credential from ETS
- Demonstrates verified competence in Education & Teaching
- Supports career advancement and may satisfy licensing or employer requirements
What is it?
What exactly is the Praxis Geometry (5163)?
Praxis Geometry (5163) — Education & Teaching credential from ETS
Focused mathematics test on congruence, similarity, trigonometry, circles, measurement and geometric proof for geometry teachers. Offered by ETS, it is designed for candidates who need to demonstrate verified competence in the Education & Teaching field. The credential is commonly used for career entry, advancement, regulatory compliance, or employer requirements. Candidates should review the official handbook for eligibility, exam format, and scoring before registering.
The path in brief
- Confirm you meet any eligibility or prerequisites
- Review the official handbook and study materials
- Register and pay through the awarding body or authorized provider
- Schedule and take the exam (test center or online proctoring)
- Receive your score and, if passed, your credential
Before you book
Who is eligible to sit the Praxis Geometry (5163)?
Eligibility varies; many credentials are open to all, while others require coursework, work experience, or sponsorship.
Who it is for: Professionals and candidates seeking to validate Education & Teaching competence.
The test itself
What is the format of the Praxis Geometry (5163)?
The Praxis Geometry (5163) is administered by ETS and runs ~3 hours (verify current).
| Administered by | ETS |
|---|---|
| Questions | ~60 questions (verify current) |
| Time limit | ~3 hours (verify current) |
| Pass mark | Passing score set by the awarding body; see the official score report |
| Exam fee | ~$130 |
| Format | Proctored, computer-based (test center or online remote proctoring) |
Content outline
What topics are on the Praxis Geometry (5163)?
The Praxis Geometry (5163) covers 4 content domains.
Weightings come from the official exam outline. Study time is best allocated in roughly these proportions rather than evenly across domains.
- Subject content
Topic area tested on the exam; see the official blueprint for the detailed breakdown.
- Instruction & pedagogy
Topic area tested on the exam; see the official blueprint for the detailed breakdown.
- Assessment
Topic area tested on the exam; see the official blueprint for the detailed breakdown.
- Classroom management
Topic area tested on the exam; see the official blueprint for the detailed breakdown.
Study materials
Which study guide should you use for the Praxis Geometry (5163)?
Start with the exam sponsor's official content outline. If you also want one structured resource to work through, these are the Mometrix titles that match this exam.
This links to Mometrix's Praxis subject-test range rather than a single Praxis Geometry (5163) title. Check that it lists an edition for Praxis Geometry (5163) before you buy.
Affiliate links We may earn a commission if you buy through these links, at no extra cost to you. Mometrix has no say in what our exam guides cover. How we make money.
The path
How do you register for the Praxis Geometry (5163)?
- 1
Read your state requirements page20 minutes
Open hiset.org and select your state or jurisdiction. Age minimums, residency rules, whether you must enrol in an adult education programme first, and the exact fees are all set locally.
- 2
Create a myHiSET account15 minutes
Sign up through the state requirements page to generate your HiSET number, which you need for scheduling, score access and any state paperwork.
- 3
Take the official practice tests1 to 2 hours per subtest
HiSET publishes free and low-cost official practice tests for each subtest. Unlike the GED at-home route, HiSET does not require a practice-test pass before you can schedule.
- 4
Schedule subtests one at a time10 minutes each
Book any of the five subtests in any order, on paper or computer at a test centre or through HiSET@Home online proctoring where your state allows it.
- 5
Test with valid photo ID65 to 120 minutes per subtest
Bring a current government-issued photo ID showing your name, date of birth, signature and photograph. At-home testers need a private room, a webcam and a stable connection.
- 6
Check scores and claim your credential1 to 2 weeks
Multiple-choice results typically post within about five to seven days and essay results within about seven to ten days. Once all five subtests pass, your state issues the credential.
The fine print
What are the retake and renewal rules for the Praxis Geometry (5163)?
- Proctoring & delivery
- HiSET is offered in three ways: paper-based at a test centre, computer-based at a test centre and HiSET@Home under live online proctoring, with availability depending on the state. Calculators and formula sheets are supplied at test centres. The full battery in English or Spanish is permitted, and several states allow candidates to mix languages across subtests.
- Retake policy
- Retake rules are set per state, but a common pattern allows three attempts per subtest in a calendar year, sometimes extending to six. Several states use a favourable pricing structure in which the full fee is charged only on the first and fourth attempts while the second and third cost only the test centre or proctor fee.
- Score reporting
- Each of the five subtests is scored 1 to 20. To pass you must score at least 8 on every subtest, at least 2 out of 6 on the Language Arts Writing essay, and at least 45 out of 100 in total across the five. A score of 15 or higher on a subtest is treated as HiSET honours-level performance in several states.
- Recertification
- The credential a state issues on the strength of a passing HiSET battery is permanent and needs no renewal. Passing subtest scores are carried forward within a state-defined window while you complete the remaining subjects.
- Refunds & rescheduling
- Refund and reschedule windows are administered by PSI and vary by state and test centre; most centres require cancellation at least 24 hours before the appointment. Registering by phone rather than online attracts an additional fee in some states.
Context
HiSET subtests at a glance
| Subtest | Questions | Time | |
|---|---|---|---|
| Language Arts - Reading | About 40 to 50 multiple choice | 65 minutes | |
| Language Arts - Writing | About 50 multiple choice plus 1 essay | 120 minutes | |
| Mathematics | About 50 multiple choice | 90 minutes | |
| Science | About 50 multiple choice | 80 minutes | |
| Social Studies | About 50 multiple choice | 70 minutes |
What it pays
How much does this credential pay?
$64,580 median for high school teachers (BLS, May 2024)
The direct conclusion for a Geometry (5163) candidate is that this exam is a licensing gate for a teaching assignment, not a lever on pay: the credential qualifies a teacher to hold a geometry teaching position, and the wage for that work is captured by the closest BLS occupation, High School Teachers, SOC 25-2031, which had a May 2024 median annual wage of $64,580. The BLS classifies by job duties rather than by certificate, so there is no wage series that isolates geometry teachers, and secondary math teachers are paid on district salary schedules where years of service and graduate credit hours drive progression far more than the specific subject endorsement does. The distribution matters more than the median: geography dominates the spread, with state-level medians ranging from the high $40,000s to more than $90,000, and the highest-paying states are largely the highest-cost ones such as California, New York and Massachusetts. BLS counted 1,094,500 high school teachers in 2024 and projects a 2 percent decline in employment from 2024 to 2034, while still expecting about 66,200 openings a year, almost all of them replacement need from retirement and career change. The practical reading for a 5163 candidate is that mathematics teachers remain in persistent demand in most regions, which is why states run a dedicated geometry endorsement at all, and a certified geometry teacher has some negotiating room on stipends and course load; but the base wage moves with the salary schedule, not with the credential. One nuance specific to 5163: because the test is a single-course endorsement used by a limited set of states, the candidate pool is largely practicing or newly hired teachers, so the exam functions as a condition of an assignment rather than a career entry point, and the cost of failure is measured in lost teaching time and a second fee rather than in a forgone career.
| Measure | Figure | Source / note |
|---|---|---|
| Median annual wage, high school teachers | $64,580 | BLS Occupational Outlook Handbook (SOC 25-2031), May 2024 |
| Employment, 2024 | 1,094,500 jobs | BLS OOH Quick Facts, 2024 |
| Projected annual openings | ~66,200 per year | BLS OOH Job Outlook, 2024-34 — almost all replacement need |
| Geometry teacher premium | Market-dependent | Math teachers are in persistent demand; stipends and salary credit vary by district, not by this exam |
Job growth.-2% projected change 2024-34 (decline driven by falling secondary enrollment), with ~66,200 replacement openings a year. Pay is set by district salary schedules, so geography and experience matter more than the credential.
Source: BLS Occupational Outlook Handbook — High School Teachers
Your odds
What are the pass rates?
ETS publishes no pass rate — the 5163 cut score is set by each state, commonly around 150-160
ETS does not publish a pass-rate statistic for Praxis 5163 or any other Praxis test, and there is no single national passing score: each state education agency that accepts 5163 sets its own cut on the 100-200 scaled score scale, and for the Geometry test the commonly cited state-set passing scores sit in the 150 to 160 range, with some states conditioning the requirement on the certificate area or on whether the candidate already holds another math endorsement. That means the same scaled score clears licensure in one state and falls short in another, so the first research step before any prep purchase is to look up the exact 5163 cut score for your state on the ETS Praxis state requirements page or your state education agency site. What is uniform and verifiable is the operational policy: the test is computer-delivered with 50 selected-response and numeric-entry questions in 130 minutes, scored on the 100-200 scaled scale, ETS enforces a mandatory waiting period between attempts, there is no limit on attempts, and each attempt is paid at full price. A second structural fact matters for planning: 5163 is a limited-endorsement exam rather than a full mathematics licensure test, so the pool is mostly practicing or newly hired teachers, and the relevant comparison for a candidate is their own state’s cut, not a national average that does not exist. The correct planning question is therefore not what the pass rate is but what your state’s cut score is and how far above it your practice scores sit, because a 50-question paper makes the gap between a 150 and a 160 requirement a matter of just a few items. Treat any vendor-sourced pass-rate figure as a marketing artifact, and build the preparation around clearing your state’s published cut with a deliberate margin.
Read this before quoting the number.ETS publishes no pass rate by exam. The 5163 cut score is set independently by each state education agency on the 100-200 scaled score scale; confirm your state’s requirement before registering.
Source: ETS — Praxis Geometry (5163)
Your schedule
How long should I study for it?
50-80 hours of focused study
The 5163 is a compact paper: 50 selected-response and numeric-entry questions in 130 minutes, with an on-screen graphing calculator provided, and the content map is two large categories — Properties of Geometric Plane Shapes, Congruence, Similarity, Proof, Constructions, and Trigonometry (about 24 questions, 48 percent) and Coordinate Geometry, Circles, Three-Dimensional Geometry, and Geometric Modeling (about 26 questions, 52 percent). The structural fact that should shape the schedule is that the second category is slightly larger and is the one most geometry-major candidates underestimate: coordinate geometry, circle equations, three-dimensional figures and geometric modeling reward fluency with the algebraic representation of geometry, which is a different skill from classical Euclidean proof. The plan below runs six to eight weeks at roughly 8-10 hours a week. Because the paper mixes selected-response with numeric-entry items — where you type the exact numeric value rather than choosing a letter — the plan includes deliberate drill of arithmetic-transcription discipline, because the classic numeric-entry failure mode is a right answer typed with a rounding or sign error. The final two weeks should be timed mock exams on the real format, because 50 questions in 130 minutes is about 2.6 minutes per item and the numeric-entry items take longer to enter than a letter choice takes to select. Before planning, confirm that 5163 is the test your state actually requires, because some states license geometry teaching through the broader Mathematics: Content Knowledge (5165) instead, and preparing for the wrong exam wastes both weeks and money. The hours below are built for a practicing teacher; if you are not currently teaching, add two weeks of structured geometry review before Week 1.
- Week 18-10 hrs
Diagnostic and state cut-score lookup
- Take one untimed diagnostic pass through both content categories to rank your starting position
- Look up your state’s exact 5163 cut score on the ETS Praxis state requirements page and write it down
- Confirm 5163 is the exam your state requires (some states use 5165) before investing a week
- Weeks 2-39-11 hrs/week
Plane shapes, congruence, similarity and proof (48%)
- Drill triangle and quadrilateral properties, angle relationships, congruence and similarity theorems
- Work proof items explicitly — which theorem justifies each step, and how a construction is justified
- Introduce right-triangle trigonometry: sine, cosine, tangent, the Pythagorean theorem, and the law of sines and cosines
- Week 49-11 hrs
Constructions, circles and trigonometry in depth
- Study classic constructions and the reasoning behind them, plus circle properties — arcs, chords, tangents, inscribed angles
- Master the law of sines and the law of cosines with practice problems in general triangles
- Re-test the category-one items you missed in Weeks 2-3 to confirm the repair took
- Weeks 5-69-11 hrs/week
Coordinate geometry, 3-D geometry and modeling (52%)
- Work slope, midpoint, distance, equations of lines and the coordinate equation of a circle
- Study surface area and volume of three-dimensional figures, including composite and rotated figures
- Drill geometric modeling — using geometry to represent real-world situations — with the on-screen calculator
- Week 79-11 hrs
Full-length timed mocks
- Take two full 5163 mocks: 50 questions in 130 minutes using only the on-screen graphing calculator
- Review both by content category, and separately log every numeric-entry item you typed wrong — rounding and sign slips are the classic miss
- Drill the specific topics that cost points in the mocks, especially coordinate geometry and 3-D volume
- Week 86-8 hrs
Taper and logistics
- Light review of category checklists and miss lists, plus one timed half-exam to keep the pace reflex fresh
- Confirm your state cut score and that your ID name matches your Praxis account exactly
- Confirm your seat, travel or at-home system test, and take one quiet day before the exam
Adjusting the pace
Currently teaching geometry.Five weeks at 8-10 hrs/week. Your daily work covers most of the plane-shape content; spend the recovered time on coordinate geometry, 3-D volume and the modeling items, which classroom teaching does not automatically supply.
Returning teacher or career changer.Eight to ten weeks at 8-10 hrs/week. Add two weeks before Week 1 for a structured geometry refresher, especially proof-writing stamina and coordinate algebra, which decay badly with disuse.
Holding a broad math credential already.Three to four weeks. The 5163 is narrower than 5165, so the gap is mostly the exam-specific emphasis on constructions, circle theorems and the modeling items — work those and take two timed mocks.
How to study
How do I prepare most effectively?
The 5163 rewards four skills above all: theorem fluency, proof-writing stamina, coordinate-algebra facility, and disciplined handling of numeric-entry items under a 130-minute clock. Because the exam is a focused single-course endorsement test, the syllabus is small enough to master completely, and the risk is not coverage but the specific skills the paper is built to measure: recognizing which theorem justifies a step, completing a proof in a reasonable number of moves, and converting between geometric figures and their algebraic representations. The single highest-yield planning decision is to weight study time by the published category shares — the coordinate-and-modeling category is the larger of the two at 52 percent, so a candidate who spends most of the time on classical Euclidean proof and neglects circle equations and three-dimensional volume is under-preparing the larger half of the paper. The second highest-yield decision is to practise the numeric-entry items deliberately, because typing an exact value is a separate discipline from selecting a letter: rounding errors, sign errors and transcription slips are the classic failure mode, and they are entirely trainable. The third is to rehearse the on-screen graphing calculator from the first week, because coordinate geometry items reward sketching graphs and checking equations on the tool you will actually have on exam day. The strategies below are ordered by score impact, and the first two are the difference between a passing plan and a lucky one: they are not optional extras to add after content review, they are the plan. A candidate who skips proof rehearsal and numeric-entry drill is effectively betting that recognising a theorem is the same skill as writing a proof, and this paper is deliberately designed to separate the two.
Practise proof as a skill, not a fact list
A large share of the first category tests congruence, similarity and geometric proof, and the items reward being able to name the theorem that justifies each step and to move a proof forward efficiently. Drill proofs of standard results — triangle congruence and similarity, parallelograms, the Pythagorean theorem — until the justifications are reflex, and practise writing them under time, because the exam is a reasoning test as much as a recognition test.
Weight the coordinate-and-modeling category at 52 percent
Coordinate Geometry, Circles, Three-Dimensional Geometry, and Geometric Modeling is the larger of the two categories, and it is the one strong geometers most often neglect because it sits outside classical Euclidean proof. Master slope, midpoint, distance, line equations, the circle equation, surface area and volume of 3-D figures, and geometric modeling, and give it at least as many hours as the plane-shape category.
Drill numeric-entry items as their own discipline
The 5163 mixes numeric-entry questions with selected-response, and the classic numeric-entry failure is not missing the math but typing a value that is rounded, signed or transcribed wrong. Build a log of every numeric-entry item you miss, record whether the error was mathematical or mechanical, and force yourself to double-check units, signs and rounding before moving on. This is the cheapest set of points on the paper.
Rehearse with the on-screen graphing calculator
ETS provides an on-screen graphing calculator for the whole test, and coordinate-geometry items reward graphing a line or a circle to check an answer. Candidates who practise only with a handheld calculator lose time entering equations and reading graphs on exam day. Run at least two sessions on the official calculator tutorial and all full-length mocks on the same tool.
Learn the trig layer, including the law of sines and cosines
Trigonometry is explicitly inside the first category, and it extends beyond right-triangle ratios to the law of sines and the law of cosines in general triangles. Many candidates who are strong on plane shapes assume trig is covered by their right-triangle fluency and lose the general-triangle items. Work the laws until you can apply them from a described figure without hesitation.
Run full-length timed mocks on the real format
Fifty questions in 130 minutes is about 2.6 minutes per item, and numeric-entry items consume more of that than a letter choice. Two full mocks in Week 7 tell you exactly where over-thinking costs you and let you rehearse the skip-and-return discipline the ETS interface supports. Track the clock against question 15 and question 35 so pacing becomes a plan, not a surprise.
What to buy
Which study resources are worth paying for?
The highest-value resources for the 5163 are free: the ETS Study Companion, which contains the exact two-category blueprint, sample questions and the on-screen calculator directions, and the ETS Interactive Practice Test, which is the closest thing to the real item style and the best single readiness check available. Third-party courses add structured drilling volume and are worth it mainly if a specific skill needs systematic repair — coordinate geometry and 3-D volume for the classic Euclidean geometer, or proof and constructions for the coordinate-heavy candidate. The buying logic for this exam is unusual because the paper is so compact: 50 questions in 130 minutes does not require a multi-hundred-dollar course library, and for most candidates the official set plus one good question bank is enough. The decision really is how much structured remediation your two weakest skills need, and that should be diagnosed before you spend anything, not after. One caution that applies to all paid materials: ETS revises Praxis blueprints on a published cycle, and some states changed which test they accept for the geometry endorsement, so verify that any course is current for 5163 and matches the two-category blueprint rather than an older format. School districts are the hidden variable: many districts that require the geometry endorsement pay for or reimburse the registration fee and prep materials, so asking a principal or HR office before buying anything is a free first step that candidates routinely skip. The table below lists current list prices as of mid-2026; we do not rank by commission and prices change frequently.
| Resource | Price | Format | Best for | |
|---|---|---|---|---|
| ETS Study Companion (5163) | Free | PDF content outline with sample questions | The authoritative two-category map | Download first — tag every miss to its categories |
| ETS Praxis Interactive Practice Test (5163) | ~$20 | Timed online practice with immediate scoring | Closest question style to the real exam | The best single readiness check before booking |
| Exam registration (5163) | ~$130 (confirm at ets.org/praxis) | Prometric centre or online proctoring | Required to sit the exam | Book only after practice scores clear your state cut with a margin |
| 240 Tutoring or similar Praxis 5163 course | ~$80-100 subscription | Diagnostic plus content-area lessons and practice | Structured repair by skill | Weakest-skill remediation, especially coordinate geometry or proof |
| Khan Academy (free) + Mometrix flashcards | Free to ~$40 | Video lessons and drill decks | Cheap geometry breadth review | Budget prep for returning candidates |
| Study.com official ETS partner course | ~$59-79/month subscription | Video lessons with chapter quizzes and full practice tests | A paced, exam-aligned syllabus | Candidates who want external structure and progress tracking |
Prices checked 2026-08 in USD before promotions; ETS registration fees are set by ETS and state surcharges may apply. Passing scores are set by state and are not included in any fee. We do not rank by commission.
Avoid these
What mistakes do candidates most often make?
The 5163 failure modes cluster around four roots: preparing for the wrong exam or the wrong cut score, spending most of the time on Euclidean proof while the coordinate-and-modeling category is the larger half of the paper, treating numeric-entry items as if they were multiple choice, and never rehearsing the on-screen calculator under a full-length clock. Every one of the six traps below is fixable within a single eight-week cycle, and most are exactly the mistakes the question design is built to punish. The first trap is structural and costs the most: some states license the geometry assignment through the broader Mathematics: Content Knowledge (5165) test, so a candidate who assumes 5163 without checking the state requirement can study the wrong blueprint entirely. The second is targetless: because there is no national passing score, a candidate who trains to a forum-average number may be aiming above or below their actual state cut, and the difference between a 150 and a 160 requirement is a few items on a 50-question paper. The third is a weighting trap: the coordinate-and-modeling category is 52 percent of the paper, yet the strongest geometers routinely under-prepare it because they assume their proof skills carry the whole exam. The fourth is a mechanical trap — typing numeric-entry answers with rounding or sign errors that turn right math into wrong answers. The fifth is a tool trap — never using the on-screen calculator during preparation — and the sixth is a pacing trap: never running a full-length mock, so the real paper’s 130-minute clock and numeric-entry time arrive as a surprise. Each trap has a concrete fix below, and the common thread is that the 5163 is small enough that targeted repair beats broad re-study.
✕Preparing for the wrong exam
✓5163 is the limited geometry endorsement test; some states license the same assignment through the broader Mathematics: Content Knowledge (5165) instead. Preparing for the wrong one wastes your money and your study weeks. Confirm which exam your state actually requires in Week 1 and download that exam’s Study Companion rather than a generic Praxis math guide.
✕Training to a national passing score that does not exist
✓There is no single Praxis 5163 passing score; each state sets its own cut on the 100-200 scale, commonly in the 150-160 range. Look up your state’s requirement in Week 1 and require your practice mocks to beat it by a margin. A score that usually passes in forums can still fail your state.
✕Over-investing in proof while under-preparing coordinate geometry
✓Coordinate Geometry, Circles, Three-Dimensional Geometry, and Geometric Modeling is 52 percent of the paper — the larger half. Strong Euclidean geometers routinely neglect circle equations, 3-D volume and modeling, then lose the majority of the exam. Give the coordinate-and-modeling category at least as many hours as the plane-shape category.
✕Treating numeric-entry items like multiple choice
✓The 5163 includes numeric-entry items where you type the exact value, and the classic failure is not missing the math but typing a rounded, signed or transcribed value. Build a log of every numeric-entry miss, record whether the error was mathematical or mechanical, and double-check units, signs and rounding before moving on. This is the cheapest set of points on the paper.
✕Never using the on-screen calculator during prep
✓ETS provides an on-screen graphing calculator for the whole test, and coordinate-geometry items reward graphing a line or circle to check an answer. Candidates who only practise on a physical calculator lose time entering equations on exam day. Run at least two sessions on the official calculator tutorial and all full-length mocks on the same tool.
✕Never running a full-length mock
✓Fifty questions in 130 minutes is about 2.6 minutes per item, and numeric-entry items consume more of that than a letter choice. Candidates who only drill in short blocks mis-pace on the real paper. Two full mocks in Week 7 turn pacing from a surprise into a plan.
What you'll face
What question types will I see?
The 5163 is 50 selected-response and numeric-entry questions in 130 minutes, scored on the 100-200 scaled scale against a state-set cut. The paper covers two content categories — Properties of Geometric Plane Shapes, Congruence, Similarity, Proof, Constructions, and Trigonometry (about 24 questions, 48 percent) and Coordinate Geometry, Circles, Three-Dimensional Geometry, and Geometric Modeling (about 26 questions, 52 percent) — and the format mixes single-answer multiple choice with numeric-entry items where you type the exact value, plus a minority of multiple-select items where you choose more than one option; ETS notes that some questions on a form are pretest items that do not count toward your score. An on-screen graphing calculator is provided for the entire test, so the paper does not test recall of formulas so much as the ability to use the tool and to reason from figures and diagrams. There are no constructed-response essays, but the proof items function as short reasoning tasks: they ask which theorem justifies a step or what follows from a given congruence or similarity, so the paper rewards structured geometric knowledge rather than memorized formulas. The numeric-entry layer is the distinctive tactical feature: typing an exact value demands discipline about units, signs and rounding, and it removes the option of pattern-matching to a plausible letter. The pacing arithmetic is about 2.6 minutes per item, with the numeric-entry and proof items running longer than the letter-choice items, so the skip-and-return discipline matters. The samples below illustrate the published item style across the two categories, including a proof-justification item, a circle-equation item and a numeric-entry-style measurement item.
Four answer choices across both categories. Distractors are plausible near-misses — a swapped theorem, a sign error, a misapplied law — so partial fluency is punished.
Type the exact numeric value rather than choosing a letter. Rounding, sign and transcription slips are the classic failure mode, and there is no letter to fall back on.
The stem states how many options to choose, and scoring is all-or-nothing. Common where several steps or several true statements together complete a claim.
Try these
Q1Given that triangle ABC is isosceles with AB = AC and D is the midpoint of BC, a student wants to prove that angle ABD is congruent to angle ACD. Which pair of triangles should the student show is congruent?
Answer:A
Drawing the segment AD splits the isosceles triangle into triangles ABD and ACD, and the two share AD, have AB = AC by hypothesis, and have BD = DC because D is the midpoint — three corresponding sides equal, which is side-side-side congruence (A). The congruent triangles are therefore ABD and ACD, and the corresponding angles ABD and ACD follow. B pairs the original triangle with a triangle that shares only part of the figure and is not the natural split. C and D pair triangles that do not share the right corresponding sides and do not isolate the angle pair in question. This item tests the proof-planning layer: the skill is choosing the right triangles to declare congruent, which is how many proof items on the paper are structured.
Q2A circle is tangent to the x-axis at the point (3, 0) and has its center at (3, 4). Which equation represents the circle?
Answer:A
A circle with center (h, k) and radius r has equation (x - h)^2 + (y - k)^2 = r^2. The center is (3, 4), and because the circle is tangent to the x-axis at (3, 0), the radius is the vertical distance from the center to the axis, which is 4, so r^2 = 16 (A). B uses 9, the square of 3, which confuses the x-coordinate of the tangency point with the radius. C and D both flip signs, placing the center in the third quadrant, which does not match the given tangent point. This item tests the coordinate-geometry layer of the larger category: converting between a figure’s description and its equation is exactly the skill the blueprint rewards.
Q3In triangle DEF, DE = 8, EF = 10, and the measure of angle E is 60 degrees. What is the length of side DF, rounded to the nearest tenth?
Answer:A
The two given sides DE and EF surround the included angle E, so the law of cosines applies: DF^2 = 8^2 + 10^2 - 2(8)(10)(cos 60). Since cos 60 is 0.5, DF^2 = 64 + 100 - 80 = 84, so DF is the square root of 84, which is about 9.165 and rounds to 9.2 (A). B (9.5) is the square root of 90, a common slip for miscomputing the product term. C (10.0) ignores the included angle entirely and is the length that would hold only in a degenerate interpretation. D (12.8) comes from adding the squares and skipping the cosine term, which gives the square root of 164. A numeric-entry version of this item would require typing exactly 9.2, which is why rounding discipline matters on this paper.
Samples are editor-written illustrations of the published blueprint, not live exam items.
The big day
What should I expect on exam day?
The 5163 is a single appointment of 130 minutes at a Prometric test centre or via ETS online proctoring, containing 50 selected-response and numeric-entry questions in one sitting with an on-screen graphing calculator provided. The most common way a qualified candidate loses the seat is administrative: your government-issued photo ID must match your Praxis account name exactly, and for online proctoring you need a private room, working camera and microphone, and a clean desk. Check your account spelling and your state’s cut score the week before, because neither can be fixed at the check-in desk. At the centre you are checked in, photographed, and seated at a computer; scratch paper is issued and collected. The testing interface allows flagging and review within the single section, and there are no separately timed subtests — the 130-minute clock runs continuously, so budget roughly 2.6 minutes per item and keep moving. The practical pacing plan is: clear the items you are confident on, flag genuinely uncertain ones, and use the final minutes to review flags rather than re-reading everything. Spend the first two minutes confirming the on-screen calculator behaves as you rehearsed, and treat the numeric-entry items as the discipline they are: compute carefully, double-check units, signs and rounding, and type the exact value because there is no letter to fall back on. There are no scheduled breaks in the sitting; unscheduled breaks may be taken but the clock does not stop, so use the restroom before check-in and keep a water bottle at the centre’s discretion. The pretest items are indistinguishable from scored ones, so answer everything as if it counts. When you finish, your scaled score appears on screen, and the official score report follows in about five weeks to the recipients you selected at registration — typically your state agency and your employer or preparation program.
Bring
- Government-issued photo ID with your name matching your Praxis account exactly
- Your Praxis registration confirmation or candidate ID in case check-in cannot locate the booking
- For online proctoring: a phone for check-in, a private room, and a webcam and microphone already tested on the machine you will use
- Your state’s 5163 cut score, so you can interpret the on-screen result correctly
Leave at home
- Phones, smartwatches, fitness trackers and earbuds — secured in a locker at a centre
- All notes, textbooks and printed study materials — no personal scratch paper is allowed
- Bags, coats, food and drink beyond what the centre permits
- A handheld calculator — the exam provides an on-screen graphing calculator, and personal calculators are prohibited
How the day runs
Rules in the room
- 50 selected-response and numeric-entry questions in one 130-minute session; scaled score on the 100-200 scale with a state-set cut.
- An on-screen graphing calculator is provided for the entire test; personal calculators are prohibited.
- You may flag items and review them within the single section; there are no separately timed subtests.
- No scheduled breaks in the sitting; unscheduled breaks may be taken but the clock does not stop.
- Scratch paper is issued at a test centre and collected; online proctoring uses a digital whiteboard only.
- Some questions on the form are pretest items that do not count toward your score.
- Retakes are subject to the ETS waiting-period policy after score release; each attempt is paid in full.
Afterwards.Your scaled score appears on screen when you finish, and the official report follows in about five weeks to the recipients you selected — typically your state education agency and your employer or preparation program. Because the cut score is state-set, read your result against your state’s published 5163 requirement rather than against any number on the report. On a pass, the geometry endorsement hurdle is cleared and you can hold the assignment your license covers. On a fail, the path is straightforward: wait out the ETS retake waiting period, but use the window deliberately. The most common failure pattern on 5163 is not missing geometry overall but a specific skill — usually coordinate geometry and 3-D volume, or the numeric-entry discipline — and that is fixable in one targeted cycle. Do not re-book the same knowledge; spend the window repairing the specific area your practice and the score report point to, and treat the retake as a different exam experience rather than a second roll of the same dice.
Reference
What are the key facts about the Praxis Geometry (5163)?
Praxis Geometry (5163) is a exam credential; awarded by ETS; the exam fee is ~$130; typical preparation is 40-60 hours over 4-6 weeks; holders typically earn $40,000-$85,000 (25-2031 median $64,580).
| Credential | Praxis Geometry (5163) |
|---|---|
| Type | Exam |
| Profession | Teaching & Education |
| Specialty | Praxis Mathematics & Science |
| Awarded by | ETS |
| Difficulty | Mixed |
| Typical prep time | 40-60 hours over 4-6 weeks |
| All-in cost | ~$130 (ETS fee) |
| Typical salary range | $40,000-$85,000 (25-2031 median $64,580) |
| Credential | Praxis Geometry (5163) |
| Awarding body | ETS |
| Exam format | Proctored, computer-based |
| Validity | State-set passing score; validity varies by state |
| Languages | Varies — see awarding body |
| Scope | National / Multi-state |
| Also known as | 5163 |
Real questions
Frequently asked questions about the Praxis Geometry (5163)
How do I register for the Praxis Geometry (5163) exam?
Register through ETS's official portal or an authorized test provider (e.g., Pearson VUE or Prometric where applicable). Create an account, select the exam, pay the fee, and schedule a date.
How much does the exam cost?
Fees vary by location and currency. Confirm the current fee on the official registration page before scheduling.
How long is the credential valid, and how do I renew?
Validity varies by credential (commonly 2–3 years). Renewal usually requires continuing education or a recertification exam — see ETS's policy.
What if I do not pass?
Most bodies allow retakes after a waiting period and payment of the full or partial fee. Check ETS's retake policy before rescheduling.
Is HiSET run by ETS or by PSI?
Both. ETS develops the HiSET test content and PSI delivers it operationally, following the ETS acquisition of PSI in January 2024. In practice you register and schedule through myHiSET on the PSI platform.
Do I have to live in a HiSET state to test?
Usually not. Several HiSET states, including Georgia and Oklahoma, explicitly allow non-residents to test, though you generally must pass your final subtest in the state whose credential you want.
Is HiSET easier than the GED?
They are set to comparable standards but structured differently: HiSET has five subtests with reading and writing separated, while the GED combines them into one Reasoning Through Language Arts test. HiSET is more widely available on paper, which some candidates prefer.
In short
Is the Praxis Geometry (5163) worth it?
- Praxis Geometry (5163) is awarded by ETS.
- Validates job-ready competence in Education & Teaching.
- Registration is through the awarding body or an authorized test provider.
- Renewal and retake policies vary — confirm before scheduling.
Same awarding body
What other credentials does ETS award?
Worth comparing
How does the Praxis Geometry (5163) compare with similar credentials?
Trust
Where does this information come from?
Everything above is taken from the awarding body's own published material. Fees, question counts and domain weights are revised regularly — check the official page before you pay.
- ETS Awarding body
Research confidence: medium · Last reviewed 2026-08