Praxis Mathematics Content Knowledge Flashcards

$Praxis Mathematics Content Knowledge Flashcards$

Praxis Mathematics Content Knowledge Flashcards: a free, printable set covering the topics you will see on the test, with answer keys included, so you can practice each topic one skill at a time and check your own work before test day.

Free Praxis Mathematics Content Knowledge review

Lock in every key Praxis Mathematics Content Knowledge formula, term, and concept with a free, interactive flashcard deck covering number theory, algebra and functions, exponential and logarithmic, trigonometry, analytic geometry, sequences and discrete, calculus: derivatives, calculus: integrals, probability and statistics, linear algebra and matrices.

Each card shows the rule or definition, a short explanation, and many include a quick diagram. Flip a card, filter by topic or card type, shuffle, and mark what you know so the cards you miss come back for review.

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95flashcards

11topics covered

13cards with a diagram

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What These Praxis Mathematics Content Knowledge Flashcards Cover

This free deck collects the formulas, key terms, and concepts students use across the whole Praxis Mathematics Content Knowledge course, organized into 11 topics. Use the dropdown to study one topic at a time, or shuffle the full deck for mixed review before a test.

Topic	Cards	What students review
Number Theory	9 cards	Prime number, Fundamental theorem of arithmetic, GCD and LCM relationship, Modular arithmetic.
Algebra & Functions	12 cards	Function, Domain and range, Function composition, Inverse function.
Exponential & Logarithmic	6 cards	Exponent laws, Definition of a logarithm, Logarithm properties, Change of base.
Trigonometry	10 cards	Sine, cosine, tangent, the unit circle, special triangles.
Analytic Geometry	8 cards	Distance formula, Midpoint formula, Slope and line forms, Equation of a circle.
Sequences & Discrete	8 cards	Arithmetic sequence, Arithmetic series, Geometric sequence, Geometric series.
Calculus: Derivatives	12 cards	Limit, Continuity, Definition of the derivative, Power rule.
Calculus: Integrals	8 cards	Power rule for integration, Definite integral, Fundamental theorem of calculus, Common antiderivatives.
Probability & Statistics	10 cards	Measures of center, Spread: range, variance, SD, Probability of an event, Addition rule.
Linear Algebra & Matrices	8 cards	Matrix addition and scalar multiples, Matrix multiplication, Identity matrix, Determinant of a 2×2.
Test Facts	4 cards	Test format, question types, and calculator policy.

Jump to a Topic

Number Theory Algebra & Functions Exponential & Logarithmic Trigonometry Analytic Geometry Sequences & Discrete Calculus: Derivatives Calculus: Integrals Probability & Statistics Linear Algebra & Matrices Test Facts

Number Theory

9 cards. This topic covers Prime number, Fundamental theorem of arithmetic, GCD and LCM relationship, Modular arithmetic, Rational vs. irrational, and Imaginary unit.

Algebra & Functions

12 cards. This topic covers Function, Domain and range, Function composition, Inverse function, Quadratic formula, and Discriminant.

Exponential & Logarithmic

6 cards. This topic covers Exponent laws, Definition of a logarithm, Logarithm properties, Change of base, Exponential growth and decay, and The number e.

Trigonometry

10 cards. The sine, cosine, and tangent ratios, the unit circle, special right triangles, and basic trig identities.

Analytic Geometry

8 cards. This topic covers Distance formula, Midpoint formula, Slope and line forms, Equation of a circle, Parabola, and Ellipse and hyperbola.

Sequences & Discrete

8 cards. This topic covers Arithmetic sequence, Arithmetic series, Geometric sequence, Geometric series, Binomial theorem, and Permutations.

Calculus: Derivatives

12 cards. This topic covers Limit, Continuity, Definition of the derivative, Power rule, Product rule, and Quotient rule.

Calculus: Integrals

8 cards. This topic covers Power rule for integration, Definite integral, Fundamental theorem of calculus, Common antiderivatives, u-substitution, and Area between curves.

Probability & Statistics

10 cards. This topic covers Measures of center, Spread: range, variance, SD, Probability of an event, Addition rule, Multiplication rule, and Conditional probability.

Linear Algebra & Matrices

8 cards. This topic covers Matrix addition and scalar multiples, Matrix multiplication, Identity matrix, Determinant of a 2×2, Inverse of a 2×2, and Solving systems with matrices.

Test Facts

4 cards. Quick facts about the Praxis Mathematics Content Knowledge test, the math question types, and the calculator policy.

How to Use These Praxis Mathematics Content Knowledge Flashcards

Pick one topic

Use the topic dropdown instead of facing all 95 cards at once. Start with the topics you find hardest.

Flip, then mark

Read the front, say the rule or definition out loud, then flip. Mark Know it only when you can explain it, not just recognize it.

Practice right away

After a set, solve a few problems that use those rules. Flashcards build recall; worked practice turns them into test-day tools.

Best Order for Studying

If the deck feels like a lot, study the foundational topics first, such as numbers, fractions and percents, and exponents, then move on to algebra, geometry, and data, and review the test facts last. This moves from the skills every other topic builds on to the ones that appear in specific problem types.

Most Important Formulas and Facts to Know First

Order of operations: the sequence that keeps every calculation consistent.
Exponent rules: product, quotient, power, zero, and negative exponents.
Fraction operations: and converting between fractions, decimals, and percents.
Percent of a number and percent of change: the backbone of word problems.
Slope and slope-intercept form: for reading and writing linear graphs.
Area, perimeter, and volume: the core geometry formulas.
The Pythagorean theorem: for right triangles and distance.
Factoring and the quadratic formula: for solving quadratics.
Mean, median, mode, and range: the four measures that summarize data.
Probability of an event: favorable outcomes over total outcomes.

Common Mistakes These Cards Help Fix

Ignoring order of operations and simply working left to right.
Adding or subtracting fractions without a common denominator.
Confusing area with perimeter, or surface area with volume.
Flipping an inequality sign at the wrong time, instead of only when multiplying or dividing by a negative.
Mixing up mean, median, and mode.
Treating a negative exponent as a negative number instead of a reciprocal.
Applying the Pythagorean theorem to triangles that are not right triangles.

Frequently Asked Questions

What is the Praxis Mathematics Content Knowledge test?

Praxis Mathematics Content Knowledge is a Praxis subject test for future secondary math teachers. It covers number and quantity, algebra, functions, geometry, statistics and probability, and calculus. Many states require it for a math teaching license, so check your state’s licensing rules for the exact test code and passing score you need.

What is the difference between Praxis 5161 and 5165?

Praxis 5161 was the earlier Mathematics: Content Knowledge test, and Praxis 5165 is the newer Mathematics test that replaced it. Both target secondary math content such as algebra, functions, geometry, statistics and calculus. Check the ETS Praxis site and your state’s requirements to confirm which code you should register for.

Is there a Praxis Math Content Knowledge practice test?

Yes, Praxis Math Content Knowledge practice tests are available, including official ETS practice materials. A good plan is to take one full practice test, list every missed topic, and review those topics with these flashcards. For example, if logarithm questions trip you up, drill the change of base and log property cards before retesting.

Is there a Praxis Math Content Knowledge practice test PDF?

You can find Praxis Math Content Knowledge practice questions in PDF form, including the free study companion from ETS with sample questions and answers. Print it, work the problems with a timer, and then check each answer. Use this deck between practice sessions to keep formulas like the distance formula and derivative rules fresh.

Explore more free review tools in our math flashcards hub.

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What These Praxis Mathematics Content Knowledge Flashcards Cover