Praxis Middle School Mathematics (5164)

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

TL;DR

Praxis Middle School Mathematics (5164): a 108-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

108

questions in the bank

What this exam covers

Algebra20%
Functions17%
Geometry and Measurement20%
Numbers and Operations21%
Statistics and Probability21%

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.

Alabama157

Alaska157

American Samoa157

Arkansas141

Colorado157

Connecticut157

Delaware155

District of Columbia157

Guam157

Hawaii157

Idaho157

Indiana157

Kansas157

Kentucky150

Louisiana157

Maine157

Maryland157

Mississippi150

Missouri143

Montana157

Nebraska157

Nevada157

New Hampshire157

New Jersey157

New Mexico157

New York157

North Carolina157

North Dakota157

Northern Mariana Islands157

Oklahoma157

Oregon157

Rhode Island157

South Carolina157

South Dakota157

Tennessee157

Utah150

Vermont157

Virginia157

West Virginia157

Wyoming165

Source: ETS Passing Score Requirements tool (praxis.ets.org/scores)

5 real sample questions

For f(x)=−3x³+2x, what happens as x→∞?

A. f(x)→∞

B. f(x)→0

C. f(x)→−∞

D. f(x)→2

Source: Polynomial degree and leading term

What is the units digit of 7^202?

A. 1

B. 3

C. 7

D. 9

Source: Section 10.2, repeated powers and exponent structure

Which expression is equivalent to x²−7x+12?

A. (x−6)(x−2)

B. (x+3)(x+4)

C. (x−3)(x−4)

D. (x+6)(x−2)

Source: Polynomial multiplication and factoring relationship

A tank contains 120 liters and drains at 8 liters per minute. Which expression gives the liters remaining after t minutes?

A. 120−8t

B. 8t−120

C. 120+8t

D. (120−8)t

Source: Linear models using initial value and constant rate

Relative to y=x², what transformation produces y=(x−4)²+3?

A. Left 4 and up 3

B. Right 4 and up 3

C. Right 3 and up 4

D. Left 3 and down 4

Source: Vertex form and translations

Real-world data for this exam

Middle School Teachers, Except Special and Career/Technical Education: real median wageMay 2025$64,370/yr

Frequently asked questions

How many questions are on the CertQuestUSA Praxis Middle School Mathematics (5164) practice test?

108 questions total, split into 3 full papers of 50 each with no repeats across papers.

What topics does the Praxis Middle School Mathematics (5164) test cover?

5 domains, with the heaviest weight on Numbers and Operations (21%), Statistics and Probability (21%), and Algebra (20%).

Is there a free diagnostic for Praxis Middle School Mathematics (5164)?

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