Praxis 5164 at a glance: credential, format, time limit,
question count, calculator policy and how the outline compares to what is here.
Detail
Praxis 5164
In TeachDayOne
Credential
Mathematics (Grades 5–9)
Outline transcribed from the published Study Companion
Format
Selected-response and numeric-entry
Selected-response and numeric-entry
Time limit
3 hours
Untimed practice, plus a timed full-length run
Questions on the test
66
90 practice questions
Competencies
5 content areas
50 competencies, each with at least one question
Calculator
An on-screen graphing calculator is provided
No calculator is used for grading
Delivery
Computer Delivered
Works in any browser, offline, on a phone
The test is developed from the mathematics curriculum and state and national standards, including the Standards for the Preparation of Middle Level Mathematics Teachers (2020) by the National Council of Teachers of Mathematics (NCTM) and the Council for the Accreditation of Educator Preparation (CAEP).
INumbers and Operations16 questions · 23%
Represents and solves word problems involving addition, subtraction, multiplication, and division of real numbers
Uses the order of operations to simplify computations and solve problems
Identifies and applies properties of operations on a number system (e.g., commutative, associative, distributive, identity)
Compares and orders real numbers, including absolute values of real numbers
Performs operations involving integer exponents
Understands the relationships among fractions, decimals, and percents
Uses the language of ratio and rate to describe relationships between two quantities
Solves percent problems (e.g., expressing a percent as a ratio per 100, discounts, markups, taxes, tips, simple interest, percent error)
Understands how to reason quantitatively and use units to solve problems
Understands how to use basic concepts of number theory (e.g., divisibility, prime factorization, multiples) to solve problems
IIAlgebra15 questions · 23%
Adds, subtracts, and multiplies linear and quadratic polynomials, including polynomials with rational coefficients
Uses variables to construct and solve equations and inequalities in real-world contexts
Determines the nature of the solutions of a quadratic equation (e.g., interprets the graph, finds the discriminant, writes the equation in factored form)
Rearranges formulas to solve for a specified variable (e.g., solve d = rt for t)
Understands how to recognize and represent linear relationships algebraically
Understands how to solve equations and inequalities
Represents solutions to equations and inequalities (e.g., on a number line, in the xy-plane) and justifies each step in solving equations and inequalities
Understands how to solve systems of equations and inequalities
Graphs the solution set to a system of linear inequalities in the xy-plane and represents constraints in a modeling context
IIIFunctions11 questions · 17%
Understands how to identify, define, and evaluate functions
Knows how to determine and interpret the domain and the range of a function presented as a table of values, algebraically, or graphically
Understands basic characteristics of linear functions (e.g., intercepts, slope)
Understands the relationships among functions, tables, and graphs
Knows how to analyze and represent functions (i.e., linear, quadratic, exponential) that model given information
Understands differences between linear, quadratic, and exponential models, including how their equations are created and used to solve problems
Is familiar with how to represent arithmetic sequences as functions
IVGeometry and Measurement13 questions · 20%
Knows the properties of types of lines (e.g., parallel, perpendicular, intersecting) and angles
Solves problems involving the Pythagorean theorem in two dimensions
Understands the properties of triangles
Knows the properties of quadrilaterals and other polygons
Knows the concepts of transformations (i.e., translations, reflections, rotations, dilations)
Given a figure, describes the transformations that map the figure onto itself, including reflection over a line of symmetry
Understands the concepts of congruence and similarity
Understands the properties of circles
Knows how to interpret relationships between geometric objects in the xy-plane (e.g., distance, midpoint)
Understands how to solve problems involving perimeter and area of polygons
Knows how to solve problems involving solids
Understands systems of measurement (i.e., metric, United States customary)
VStatistics and Probability11 questions · 17%
Understands statistical processes and how to evaluate them
Understands how to interpret, analyze, and represent data presented in a variety of displays
Calculates relative frequencies for rows or columns in two-way tables and uses the calculations to describe possible associations between the two variables
Uses the equation of a linear model to solve problems in the context of bivariate measurement data (e.g., interpreting the slope and intercept, interpolation)
Solves for the mean and weighted average of given sets of data
Determines and interprets measures of center (e.g., mean, median, mode) and spread (e.g., range, interquartile range) in a variety of problems
Summarizes, describes, and compares numerical data sets in relation to their context
Uses counting techniques (e.g., the counting principle, tree diagrams) to answer questions involving a finite sample space
Solves probability problems involving simple events
Knows how to use and evaluate probability models
Interprets a uniform probability model and uses it to determine probabilities of events
About the outline above. The content
categories and competency titles on this page are transcribed verbatim from
the official ETS Praxis Middle School Mathematics Study Companion. Practice items
marked ETS in the app are also transcribed, with ETS's own answer
rationales.
What test day is actually like
If you have not sat a Middle School Mathematics test before, the part that
unnerves people is usually not the content. It is not knowing what you are
walking into. Here is the actual shape of it.
66Questions
3 hoursTime limit
Computer DeliveredDelivery
An on-screen graphing calculator is providedCalculator
Selected-response and numeric-entryFormat
That works out to about 2 minutes 44 seconds per question.It is the pacing, not the difficulty, that catches people out. Most
candidates lose marks by grinding one hard item and running out of time
on easy ones later. Answer the ones you know first, mark the rest, and
come back with whatever is left.
The content is split into 5 sections, weighted
like this:
Numbers and Operations16 questions, 23% of the test
Algebra15 questions, 23% of the test
Functions11 questions, 17% of the test
Geometry and Measurement13 questions, 20% of the test
Statistics and Probability11 questions, 17% of the test
What TeachDayOne gives you for 5164
90 practice questions covering every competency on the outline, with explanations for right and wrong answers.
A worked curriculum for all 50 competencies: key terms, worked examples, and the traps the exam is known for.
A self-test that reports accuracy per competency, not one opaque number.
Progress you can actually see, broken down by content category so you know what to study next.
Offline and mobile. Install to your home screen; it works without a connection.
Nothing to sign up for. No account, no advertising, and no premium tier to be moved to later.
If you are bad at maths, read this first. Anxiety about maths is a
strong predictor of general test anxiety for teacher candidates, and it
pulls down performance on subjects you are otherwise fine in. Two things
help. First, the Progress tab breaks your accuracy down by competency, so
you can see exactly which Middle School Mathematics topics are costing you and which
are already fine. Second, nothing here is timed while you learn it, so the
first pass through is about the ideas, not the clock. Pacing comes later,
on purpose.
How to actually study for this
The research on how people learn is consistent on one point: the method
that works best is the one that feels least like studying. It is also the one
anxious test-takers skip, which is why the practice here is built to be easy
to start and impossible to fail.
Do not just reread.Reading over material feels like studying and is the weakest use of your time. Recognition is not recall, and the exam asks you to recall.
Answer questions from memory, then check.Retrieval practice, meaning self-testing, is one of the best-evidenced study methods there is. It beats rereading, restudying, and rereading your notes.
Read the explanation either way.Right or wrong, the explanation is where the learning happens. Wrong answers especially: those are the ones you got lucky on.
Come back tomorrow.Spacing beats cramming. The same hour split across five days is worth more than five hours on one night.
Sit one timed run before test day.Full length, timed, no pausing. Pacing is a skill and it is learned by doing, not by thinking about doing.
One reassurance worth having. Practice questions in this app are not the
real exam, and your score on them is not your Praxis score. Use them to find
the competencies you do not know yet. That is the whole job.
Praxis 5164 Middle School Mathematics: questions and answers
How many questions are on the Praxis Middle School Mathematics (5164) exam?
The official test is 66 questions in 3 hours. Selected-response and numeric-entry. It is computer delivered, and a calculator is an on-screen graphing calculator is provided. TeachDayOne is built against that exact structure.
How many free practice questions does TeachDayOne have for 5164?
90 questions for this exam: 0 transcribed from ETS and 90 written against the official content outline, every one labelled in the app so you always know which is which. All 50 competencies on the outline have at least one question.
What content does the Praxis 5164 exam cover?
It is divided into 5 content categories: Numbers and Operations (23%), Algebra (23%), Functions (17%), Geometry and Measurement (20%), Statistics and Probability (17%). The full competency outline is listed on this page and is broken down, taught and quizzed inside the app.
Is TeachDayOne really free? Is there a paywall?
Yes, and permanently. There is no account, no trial, no card and no premium tier. Progress is stored in your own browser. Signing in is optional and only adds cross-device sync.
Is this official ETS material?
No. TeachDayOne is an independent project and is not affiliated with or endorsed by ETS. Some outline text and sample items are transcribed from the published ETS Study Companion, which is why the app labels them as coming from ETS. Buy the official Study Companion and the free practice test you receive with test registration straight from ETS if you want the authoritative version.
Can I use it offline or on my phone?
Yes. It installs to the home screen on iOS and Android and runs offline via a service worker. Progress lives in local storage, so there is nothing to sign into and nothing to lose if you clear the app.
Can I see how I am doing by competency?
Yes. The Progress tab breaks your accuracy down by competency and content category, so it is clear which part of the outline to study next rather than just your overall percentage.
Does it use AI, and do I need an API key?
Ms. Kaya is an optional in-app tutor that is scoped to whichever competency you are reading, so it answers against the real outline instead of generic study advice. It is entirely optional: every question, explanation and self-test works without it. Bring your own key if you want to use it.