Official exam: Praxis Middle School Mathematics (5164)
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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 written to the exam sponsor's published content outline.
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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.
For large positive x, the leading term −3x³ dominates 2x. Since −3x³ decreases without bound, f(x)→−∞.
A: A positive leading coefficient would produce this right-end behavior for an odd-degree polynomial.
B: The function is not a decaying reciprocal or exponential expression.
D: The coefficient 2 is not a horizontal asymptote.
Source: Polynomial degree and leading term
What is the units digit of 7^202?
A. 1
B. 3
C. 7
D. 9
Show answer and reasoning
Correct answer: D. 9
Powers of 7 have units digits 7,9,3,1 in a cycle of length 4. Since 202 leaves remainder 2 when divided by 4, 7^202 has the second digit in the cycle, 9.
A: One corresponds to exponents divisible by 4.
B: Three corresponds to exponents congruent to 3 modulo 4.
C: Seven corresponds to exponents congruent to 1 modulo 4.
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)
Show answer and reasoning
Correct answer: C. (x−3)(x−4)
Find two numbers whose product is 12 and sum is −7: −3 and −4. Therefore x²−7x+12=(x−3)(x−4).
A: The middle coefficient would be −8.
B: The middle coefficient would be +7.
D: The product's constant term would be −12.
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
Show answer and reasoning
Correct answer: A. 120−8t
The initial amount is 120 and each minute decreases it by 8, giving V(t)=120−8t.
B: This uses the wrong initial sign and intercept.
C: This models filling rather than draining.
D: This incorrectly multiplies the initial amount by time.
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
Show answer and reasoning
Correct answer: B. Right 4 and up 3
Vertex form y=(x−h)²+k shifts y=x² right by h and vertically by k. Here h=4 and k=3, so the shift is right 4 and up 3.
A: The horizontal sign inside the function is interpreted oppositely.
C: This interchanges the horizontal and vertical shift values.
Where can I take a free Praxis 5164 practice test online?
Right here. CertQuestUSA's free Praxis 5164 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 108-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 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 Praxis Middle School Mathematics (5164) 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.
