Praxis Core Academic Skills: Mathematics (5733)

First published: September 2, 2026Last verified: September 2, 2026Reviewed by the CertQuestUSA team

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 citing the real regulation it comes from.

Not sure where you stand? Take the free diagnostic — 10 real questions across the exam's domains, no sign-up required, with a domain-by-domain breakdown at the end.

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3

full papers, no repeats

50

questions per paper

105

questions in the bank

What this exam covers

Algebra and Geometry36%
Data Interpretation and Representation, Statistics, and Probability30%
Number and Quantity33%

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

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°

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

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

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

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

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 diagnostic for Praxis Core Academic Skills: Mathematics (5733)?

Yes -- 10 real questions across the exam's domains, no sign-up required, with a domain-by-domain breakdown at the end.