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Free Praxis Core Math Practice Test Online

Official exam: Praxis Core Academic Skills: Mathematics (5733)

Take a free Praxis Core Math practice test online: a full 50-question paper with every answer explained, no sign-up, scored by topic. The full 105-question bank and the timed simulator are $14.99 for 30 days.

First published: September 2, 2026Bank updated: September 2, 2026Published by CertQuestUSA · review process
TL;DR

Praxis Core Academic Skills: Mathematics (5733): a 105-question practice bank for the real Teacher Certification (Praxis) standard, 3 full papers of 50 questions each with no repeats, every question written to the exam sponsor's published content outline.

Take a full practice test free. 50 real questions built to the exam's domain weights, every answer explained, no sign-up required, with a domain-by-domain score at the end.
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Want the whole bank for Praxis Core Academic Skills: Mathematics (5733)? One payment of $14.99 gives you 30 days of full access to this exam. It does not renew. No account needed to buy, and there is a 7-day money-back guarantee.
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3
full papers, no repeats
50
questions per paper
105
questions in the bank
What this exam covers
Real passing scores by state

States set their own qualifying score for this test -- ETS just reports what each one requires. These are the real state-reported scaled scores (out of 200), sourced from ETS's own Passing Score Requirements tool, verified 2026-09-01. This is not the same scale as your CQU practice percentage above -- there is no public conversion between the two, so treat this as what the real exam requires, not a prediction from your practice score.

Alaska150
American Samoa134
Delaware150
Department of Defense Education Activity (DoDEA)150
District of Columbia150
Guam150
Hawaii150
Kentucky144
Maine150
Mississippi130
Nevada144
New Hampshire150
New Jersey150
North Carolina150
North Dakota150
Northern Mariana Islands150
Oregon150
Pennsylvania142
South Carolina150
Tennessee150
Vermont146
Virgin Islands150
West Virginia150
Wisconsin150
Source: ETS Passing Score Requirements tool (praxis.ets.org/scores)
5 real sample questions
Four quiz scores have a mean of 13. Three of the scores are 12, 15, and 9. What is the fourth score?
A. 13
B. 14
C. 15
D. 12
E. 16
Show answer and reasoning

Correct answer: E. 16

A mean of 13 for four scores requires a total of 4 × 13 = 52. The known scores total 36, so the missing score is 52 − 36 = 16.

  • A: This repeats the mean instead of reconstructing the required total.
  • B: This can result from using an incorrect total of 50.
  • C: This repeats one known score.
  • D: This can result from averaging only the known scores and rounding.
Source: ETS Praxis Core Academic Skills for Educators: Mathematics (5733)
Two parallel lines are cut by a transversal. One acute angle formed is 68°. What is the measure of every other acute angle formed?
A. 22°
B. 34°
C. 112°
D. 68°
E. 136°
Show answer and reasoning

Correct answer: D. 68°

Corresponding and alternate acute angles formed by a transversal of parallel lines are congruent. Therefore, every acute angle measures 68°.

  • A: Twenty-two is complementary to 68, but the relevant acute angles are congruent.
  • B: Thirty-four halves the given angle.
  • C: One hundred twelve is supplementary and obtuse.
  • E: One hundred thirty-six doubles the angle and is obtuse.
Source: ETS Praxis Core Academic Skills for Educators: Mathematics (5733)
Which equation represents a line with slope 2 and y-intercept −3?
A. y = −3x + 2
B. y = 2x + 3
C. y = −2x − 3
D. y = 3x − 2
E. y = 2x − 3
Show answer and reasoning

Correct answer: E. y = 2x − 3

Slope-intercept form is y = mx + b. Substituting m = 2 and b = −3 gives y = 2x − 3.

  • A: This swaps the slope and intercept.
  • B: This uses the wrong sign for the intercept.
  • C: This uses the wrong sign for the slope.
  • D: This swaps the magnitudes of slope and intercept.
Source: ETS Praxis Core Academic Skills for Educators: Mathematics (5733)
What is the value of −4² + (−4)²?
A. 0
B. −32
C. 32
D. −16
E. 16
Show answer and reasoning

Correct answer: A. 0

Exponentiation occurs before the leading negative, so −4² = −(4²) = −16. Parentheses make the base −4, so (−4)² = 16. Their sum is 0.

  • B: This treats both terms as −16.
  • C: This treats both terms as +16.
  • D: This omits the second term.
  • E: This omits the first term.
Source: ETS Praxis Core Academic Skills for Educators: Mathematics (5733)
Red, blue, and green beads are in the ratio 2:3:5. If there are 70 beads total, how many are blue?
A. 14
B. 21
C. 28
D. 35
E. 42
Show answer and reasoning

Correct answer: B. 21

The ratio has 2 + 3 + 5 = 10 parts. Each part is 70 ÷ 10 = 7 beads. Blue is 3 × 7 = 21 beads.

  • A: Fourteen is the red quantity.
  • C: Twenty-eight uses 4 parts, which are not assigned to a color.
  • D: Thirty-five is the green quantity.
  • E: Forty-two uses 6 parts.
Source: ETS Praxis Core Academic Skills for Educators: Mathematics (5733)
Real-world data for this exam
Elementary School Teachers, Except Special Education: real median wageMay 2025$63,970/yr

Frequently asked questions

Where can I take a free Praxis Core Math practice test online?
Right here. CertQuestUSA's free Praxis Core Math practice test online is a full 50-question practice paper built to the real exam's domain weights, with every answer explained, with no sign-up and no credit card, and shows your score by topic at the end. The full 105-question bank, with every answer explained and cited to the exam sponsor's published content outline, is $14.99 for a 30-day pass that never renews.
How many questions are on the CertQuestUSA Praxis Core Academic Skills: Mathematics (5733) practice test?
105 questions total, split into 3 full papers of 50 each with no repeats across papers.
What topics does the Praxis Core Academic Skills: Mathematics (5733) test cover?
3 domains, with the heaviest weight on Algebra and Geometry (36%), Number and Quantity (33%), and Data Interpretation and Representation, Statistics, and Probability (30%).
Is there a free Praxis Core Academic Skills: Mathematics (5733) practice test?
Yes -- one full 50-question practice paper built to the exam's domain weights, free with no sign-up, with every answer explained and a domain-by-domain score at the end.
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