Praxis · Middle School Certification
Praxis Middle School Mathematics Practice Test & Study Guide
Prepare for Praxis Middle School Mathematics with independent practice, flashcards, and connected lessons. Understand the official assessment, choose a focused study route, and review the reasoning behind missed answers.
Free study tools · Focused review · Official study guidance
Praxis Middle School Mathematics Practice Tests
Use the existing independent study form and review its explanations. Results are for study, not official certification scores.
Praxis Middle School Mathematics Flashcards
Recall a concept and explain how it applies to a teaching situation or subject example.
Praxis Middle School Mathematics Study Guides
Praxis Middle School Mathematics assessment and course guidance
Use the official page to find the course description, assessment directions, and preparation resources. No matching Effortless Math book has been verified for this subject.
Praxis Middle School Mathematics Quick Review
Refresh one weak skill before your next practice session.
MEET THE ASSESSMENT · CHOOSE YOUR NEXT SKILL
Know Praxis Middle School Mathematics before you start.
ETS describes Middle School Mathematics (5164) as 66 questions in 180 minutes. Confirm the required test code and score policy with your state or program. Independent practice here gives study feedback, not an official Praxis score.
Counting, place value, and operations
Review the explanation, apply it to an example, and explain why an alternative answer would fail.
Fractions and decimals
Review the explanation, apply it to an example, and explain why an alternative answer would fail.
Ratios, proportion, and percent
Review the explanation, apply it to an example, and explain why an alternative answer would fail.
Official test readiness
Confirm your test code, format, and certification requirements with the official provider.
Praxis Middle School Mathematics Practice Center
Take a full 180-minute form, then read the explanation under every question you missed. Sort the misses into content gaps and setup errors. About a third of the questions on this test wrap the mathematics inside a task of teaching, and those misses are a third category of their own.
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Praxis Middle School Mathematics at a glance
This is the content test for teaching mathematics in roughly grades five through nine, and it reaches further than candidates expect. Functions, systems, transformations, and two-variable data all appear. Two things make it distinctive: you get a real graphing calculator on screen, and about thirty percent of the questions dress the mathematics up as a task of teaching, asking you to read a student’s work or judge a student’s reasoning rather than just compute.
| Test code | 5164 (Middle School Mathematics) |
|---|---|
| Status | Current. The 5002 to 5005 Elementary Education series was retired on August 31, 2026, but that change does not affect this test. |
| Number of questions | 66 selected-response and numeric-entry questions |
| Time limit | 180 minutes in a single session |
| Calculator | An on-screen graphing calculator is provided, along with an on-screen sheet of selected formulas and unit conversions. |
| Format | Computer-delivered |
| Score scale | 100 to 200. One raw point per correct selected-response question. |
| Passing score | ETS does not set one. Each state sets its own qualifying score, so check the requirement where you are seeking licensure. |
| Tasks of teaching | About 30 percent of the questions apply the content to a task of teaching mathematics. |
ETS publishes the category breakdown for this test: Numbers and Operations 23 percent (about 16 questions), Algebra 23 percent (about 15), Functions 17 percent (about 11), Geometry and Measurement 20 percent (about 13), and Statistics and Probability 17 percent (about 11). Note that ETS’s own percentages and its question counts round slightly differently; the counts are the more useful planning number.
The five content categories, in plain language
ETS lists each category and the topics under it. Here is what each one asks of you.
I. Numbers and operations (about 16 questions, 23 percent)
The number system and how to work in it, from integers to radicals.
- Integer, fraction, decimal, and rational number operations
- Ratio, unit rate, proportion, and scale
- Percent, including change, discount, and interest
- Primes, factors, multiples, GCF and LCM
- Exponents, roots, radicals, and scientific notation
- Estimation and judging reasonableness
II. Algebra (about 15 questions, 23 percent)
Expressions, equations, inequalities, and the systems built from them.
- Write and simplify expressions
- Solve linear equations and inequalities
- Solve systems and recognize the three solution cases
- Factor and solve quadratics; read the discriminant
- Rearrange a formula for a named variable
- Model a verbal situation algebraically
III. Functions (about 11 questions, 17 percent)
Relationships between quantities and how they behave.
- Function notation, domain, and range
- Slope and rate of change, including average rate over an interval
- Read a graph and describe what it shows
- Linear against exponential and quadratic behavior
- Transformations of a function and what they do to its graph
- Arithmetic and geometric sequences
IV. Geometry and measurement (about 13 questions, 20 percent)
Figures, their measures, and how they move.
- Angle relationships, including a transversal and polygon angle sums
- The Pythagorean theorem, its converse, and special right triangles
- Congruence, similarity, and scale factor in one, two, and three dimensions
- Transformations: translation, reflection, rotation, dilation
- Perimeter, area, surface area, and volume
- Coordinate geometry, distance, and midpoint
- Units and conversion, including squared and cubed units
V. Statistics and probability (about 11 questions, 17 percent)
Reading data honestly and reasoning about chance.
- Measures of center and of spread
- Box plots, histograms, and what each hides
- Two-variable data, association, and a line of best fit
- Correlation against causation
- Sampling, randomness, and bias
- Simple and compound probability, independent and dependent events
A study routine that fits a 180-minute test
Sixty-six questions in three hours is under three minutes each, and that is comfortable only if the formulas are automatic. The clock is not the problem on this test; recall is.
Complete lesson map
Forty-seven lessons covering the mathematics under this test, each opening in a new tab so you can keep this page open while you work.
Counting, place value, and operations
Fractions and decimals
Ratios, proportion, and percent
Algebraic thinking and patterns
The coordinate plane
Measurement and geometry
Data, statistics, and probability
Before test day
Two things separate candidates who pass comfortably from those who scrape it. The first is unit conversion in two and three dimensions, because a square meter is ten thousand square centimeters and a candidate who converts it as a hundred loses the question with perfect arithmetic. The second is the teaching tasks, which reward precision about what a student did wrong. Practice saying the error in one sentence and those questions become the easiest on the test.
A USEFUL NEXT STEP
Praxis Middle School Mathematics: study questions
What should I know about the official Praxis Middle School Mathematics assessment?
ETS describes Middle School Mathematics (5164) as 66 questions in 180 minutes. Confirm the required test code and score policy with your state or program. Independent practice here gives study feedback, not an official Praxis score.
Official source ↗How should I use these independent Praxis Middle School Mathematics study tools?
Start with a practice activity, review explanations for missed questions, and use quick review or flashcards for one weak topic. The practice results are study feedback, not official exam scores. Compare a book’s contents with your course or test requirements before buying.
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