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Praxis Mathematics: Content Knowledge (5165) practice test

2026-2027 exam practice page

6 practice questions

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Praxis Mathematics: Content Knowledge (5165)

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Question 1 Solve quadratic equations

Question 1: Solve quadratic equations

Solve the quadratic equation x squared minus 5x plus 6 equals 0.

Question 2 Apply derivatives in calculus

Question 2: Apply derivatives in calculus

Find the derivative of the function f of x equals 3x cubed minus 4x plus 7.

Question 3 Apply properties of geometry

Question 3: Apply properties of geometry

The interior angles of a triangle measure 50 degrees and 60 degrees. What is the measure of the third angle?

Question 4 Evaluate limits in calculus

Question 4: Evaluate limits in calculus

Evaluate the limit as x approaches 2 of the function f of x equals x squared plus 3x.

Question 5 Apply statistics concepts

Question 5: Apply statistics concepts

A data set has the values 4, 8, 8, 10, and 20. What is the median of this data set?

Question 6 Solve systems of linear equations

Question 6: Solve systems of linear equations

Solve the system: 2x plus y equals 11 and x minus y equals 1.

Question 7 Apply the binomial expansion

Question 7: Apply the binomial expansion

Expand the expression (x plus 3) squared.

Question 8 Apply trigonometry concepts

Question 8: Apply trigonometry concepts

In a right triangle, the side opposite a given angle has length 3 and the hypotenuse has length 5. What is the sine of that angle?

Question 9 Apply discrete mathematics concepts

Question 9: Apply discrete mathematics concepts

How many different ways can 4 distinct books be arranged in a row on a shelf?

Question 10 Solve problems involving functions

Question 10: Solve problems involving functions

If f of x equals 2x plus 5, what is the value of f of 3?

Question 11 Apply the slope formula

Question 11: Apply the slope formula

What is the slope of the line passing through the points (1, 2) and (4, 11)?

Question 12 Apply integration in calculus

Question 12: Apply integration in calculus

Find the indefinite integral of the function f of x equals 6x.

Question 13 Apply properties of exponents and logarithms

Question 13: Apply properties of exponents and logarithms

Evaluate the logarithm: log base 2 of 8.

Question 14 Apply the area of a circle

Question 14: Apply the area of a circle

A circle has a radius of 5 units. What is its area, expressed in terms of pi?

Question 15 Solve probability problems

Question 15: Solve probability problems

Two fair six-sided dice are rolled. What is the probability that the sum of the two dice is 7?

Question 16 Apply properties of arithmetic sequences

Question 16: Apply properties of arithmetic sequences

In an arithmetic sequence, the first term is 4 and the common difference is 5. What is the sixth term?

Question 17 Apply the distance formula

Question 17: Apply the distance formula

What is the distance between the points (0, 0) and (6, 8) in the coordinate plane?

Question 18 Solve absolute value equations

Question 18: Solve absolute value equations

Solve the equation the absolute value of x minus 3 equals 7.

Question 19 Apply matrix operations

Question 19: Apply matrix operations

What is the determinant of the 2 by 2 matrix with first row 3 and 2 and second row 1 and 4?

Question 20 Apply percentage and ratio reasoning

Question 20: Apply percentage and ratio reasoning

A number increased by 20 percent equals 96. What is the original number?

Question 1 of 20

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About this practice test

What this 2026-2027 Praxis Mathematics: Content Knowledge (5165) Practice Test covers

Purchase access to the current 6-question practice bank, with exam mode, study mode, answers and rationales. The free sample is separate. Purchase includes the current bank only.

Practice material can include variations on the same concept. It is not an official exam or a guarantee of a passing score. Confirm important facts against current authoritative sources.

Work through up to 120 ETS-style questions built around assessment, instructional planning, and the wording patterns students usually miss on the first read.
Use answer-by-answer rationales to learn why the correct option wins and why weaker distractors fail in Teaching exam situations.
Review 3 real-world analogies, topic article cards, and source checks after each question so reading analysis and math reasoning feel easier to recognize under pressure.
Build timing, confidence, and recall with scenario-based practice that feels closer to the real Praxis Mathematics: Content Knowledge (5165) than a generic flashcard dump.

Prepare for the Praxis Mathematics: Content Knowledge (5165) with realistic ETS practice questions, timed review, detailed rationales, and real-world analogies that make harder Teaching concepts easier to remember.

This practice test is designed for students and professionals preparing for Praxis Mathematics: Content Knowledge (5165) who want stronger exam-day confidence, better explanation quality, and more useful answer review than a generic test bank.

Focus areas include assessment, instructional planning, reading analysis, math reasoning, along with scenario-based judgment, careful review of why distractors are less correct, and real-world analogies that help the key ideas stick.

What you will practice on this page

  • Work through up to 120 ETS-style questions built around assessment, instructional planning, and the wording patterns students usually miss on the first read.
  • Use answer-by-answer rationales to learn why the correct option wins and why weaker distractors fail in Teaching exam situations.
  • Review 3 real-world analogies, topic article cards, and source checks after each question so reading analysis and math reasoning feel easier to recognize under pressure.
  • Build timing, confidence, and recall with scenario-based practice that feels closer to the real Praxis Mathematics: Content Knowledge (5165) than a generic flashcard quiz.

How to use this exam to study smarter

  1. Start with the 20-question free sample to spot whether assessment or instructional planning is slowing you down before you buy the full exam.
  2. After each block, review every rationale and the 3 real-world analogies, topic article cards, and source checks so the tested pattern behind reading analysis becomes easier to remember.
  3. Retake the full Praxis Mathematics: Content Knowledge (5165) practice test in timed mode and focus on cleaner decision-making, not just memorizing the last answer.

Students often land on this page after searching for terms like Praxis Mathematics: Content Knowledge (5165) practice test, Praxis Mathematics: Content Knowledge (5165) practice questions, Praxis Mathematics: Content Knowledge (5165) free practice test, Praxis Mathematics: Content Knowledge (5165) study guide, ETS Praxis Mathematics: Content Knowledge (5165) practice test, Praxis Mathematics: Content Knowledge (5165) assessment questions. That is why the free sample gives you 10 questions first and the full version goes deeper into the tested patterns.

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