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Praxis Practice Questions

Praxis 5622 Practice Questions

Praxis 5622 - Mathematics Content Knowledge — Practice with free sample questions covering algebra, geometry, calculus, statistics, and more. Each question includes a detailed explanation so you actually understand the reasoning - not just memorize answers.

60
Total Questions
2 hours 30 minutes
Time Limit
160
Passing Score
$130
Registration Fee

Free Sample Questions

Here are 5 free sample questions from our full bank of 280+ Praxis 5622 practice questions. Try them out below — click "Show Answer" to reveal the correct response and explanation.

1

What is the solution set of the inequality |2x - 5| < 3?

AA) x < 1 or x > 4
BB) 1 < x < 4
CC) -4 < x < -1
DD) x < -1 or x > 4
2

A circle has the equation x^2 + y^2 - 6x + 4y - 12 = 0. What are the center and radius of the circle?

AA) Center (3, -2), radius 5
BB) Center (-3, 2), radius 5
CC) Center (3, -2), radius 25
DD) Center (-6, 4), radius 12
3

What is the derivative of f(x) = x^3 * ln(x)?

AA) 3x^2 * ln(x)
BB) 3x^2 * ln(x) + x^2
CC) x^2(3ln(x) + 1)
DD) Both B and C
4

A dataset has values: 3, 7, 7, 10, 12, 15, 18. What is the interquartile range (IQR)?

AA) 8
BB) 11
CC) 15
DD) 5
5

In triangle ABC, angle A = 30 degrees and angle B = 45 degrees. If side a (opposite angle A) is 10 units, what is the length of side b (opposite angle B) using the Law of Sines?

AA) 10 * sqrt(2)
BB) 10
CC) 5 * sqrt(2)
DD) 20

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About the Praxis 5622

Format & Structure

Total Questions
60
Time Limit
2 hours 30 minutes
Format
Multiple choice, numeric entry, and constructed response

Scoring & Cost

Passing Score
160
Registration Fee
$130

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Frequently Asked Questions

What is the Praxis 5622 Mathematics Content Knowledge assessment?

The Praxis 5622 is an ETS-developed assessment designed for individuals who want to teach mathematics at the secondary level. It measures your understanding of key math concepts across algebra, number theory, geometry, trigonometry, calculus, statistics, probability, and discrete mathematics. Most states require it - or accept it - as part of the math teacher licensure process.

How many questions are on the Praxis 5622?

The Praxis 5622 has 60 questions, and you're given 2 hours and 30 minutes to complete them. The question types include selected-response (multiple choice), numeric entry, and constructed response. You'll want to pace yourself since some of the constructed-response items take more time than a standard multiple-choice question.

What score do I need to pass the Praxis 5622?

Passing scores vary by state, but most states set the bar around 160 on the 100-200 scoring scale. Some states require higher or lower scores, so it's important to check with your specific state's Department of Education. Don't assume your state matches the national recommendation - always verify before your assessment date.

Is a calculator allowed on the Praxis 5622?

Yes, you'll have access to an on-screen graphing calculator during the assessment. It's built into the testing software, so you won't bring your own. That said, you still need strong mental math and estimation skills because relying too heavily on the calculator can slow you down. Practice with the on-screen calculator beforehand if you can.

What math topics does the Praxis 5622 cover?

The assessment covers five main content areas: Number and Quantity, Algebra and Functions, Geometry and Measurement, Statistics and Probability, and Calculus. Algebra and Functions typically carries the heaviest weight, so that's a good area to prioritize. But honestly, you can't afford to skip any topic entirely - even discrete math and proof-based questions show up.

How should I study for the Praxis 5622?

Start with a diagnostic practice test to pinpoint your weak areas. Then focus your study time on those specific topics rather than reviewing everything equally. Many successful test-takers spend 4-6 weeks preparing, covering one content area per week and saving the final week for full-length practice tests. Brushing up on calculus and proofs is especially important if it's been a while since your last math course.

How often can I retake the Praxis 5622?

You need to wait at least 21 days between attempts, and you can only take the Praxis 5622 up to five times within a 12-month testing window. Each retake costs the full registration fee of $130. If you didn't pass, use the score report to identify which content areas need the most work before your next attempt.

How is the Praxis 5622 different from the Praxis Core Math?

They're very different assessments. The Praxis Core Math measures basic math skills needed by all educators and covers arithmetic, algebra, geometry, and data analysis at a foundational level. The Praxis 5622, on the other hand, tests advanced math content knowledge expected of secondary math teachers - think calculus, proofs, abstract algebra concepts, and in-depth statistics. The 5622 is significantly harder and more specialized.

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