Unofficial practice for Oklahoma's OSAT Advanced Mathematics test, field 211, weighted like its five selected-response subareas.
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Unofficial practice questions, not affiliated with Oklahoma's Office of Educational Quality and Accountability or Pearson. Bank checked October 13, 2026.
A divisibility lesson asks for the number of positive divisors of 1,000. What is the count?OSAT Advanced Mathematics (211) framework, Subarea I, Number Properties and Number Sense, competency 0002 (number theory and the complex number system)
A dust particle has a mass of 7.5 × 10⁻¹⁰ kilogram. In scientific notation, what is the total mass of 4 × 10⁶ such particles?OSAT Advanced Mathematics (211) framework, Subarea I, Number Properties and Number Sense, competency 0001 (structure, properties and operations of the real number system)
A feed store marks a saddle up 25% over its cost, then sells it at 20% off the marked price. How does the sale price compare with the cost?OSAT Advanced Mathematics (211) framework, Subarea I, Number Properties and Number Sense, competency 0001 (structure, properties and operations of the real number system)
A grader wants 125^(2/3) ÷ 32^(3/5) written as one fraction. Which answer earns credit?OSAT Advanced Mathematics (211) framework, Subarea I, Number Properties and Number Sense, competency 0001 (structure, properties and operations of the real number system)
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Subarea I: Number properties and number sense, continued
The complex number z = −1 + i√3 is written in polar form r(cos θ + i sin θ). What are r and θ?OSAT Advanced Mathematics (211) framework, Subarea I, Number Properties and Number Sense, competency 0002 (number theory and the complex number system)
In an alternating-current problem, an impedance of 6 + i is multiplied by 2 − 3i. Which complex number is the product?OSAT Advanced Mathematics (211) framework, Subarea I, Number Properties and Number Sense, competency 0002 (number theory and the complex number system)
One irrigation pivot completes a circle every 36 hours and another every 60 hours. Both start at the same position at noon. After how many hours are both first back at the start together?OSAT Advanced Mathematics (211) framework, Subarea I, Number Properties and Number Sense, competency 0002 (number theory and the complex number system)
Which of these numbers is irrational?OSAT Advanced Mathematics (211) framework, Subarea I, Number Properties and Number Sense, competency 0001 (structure, properties and operations of the real number system)
Subarea II: Relations, functions and algebra 13
A conversion rule is f(x) = (5x − 2)/(x + 4), x ≠ −4. Which inverse rule turns each output back into its input?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0003 (algebraic relations and functions)
A drone has velocity d = ⟨7, −2⟩ and the wind adds w = ⟨−4, 6⟩, both in meters per second. What is the speed of the resulting motion?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0004 (linear algebra)
A food truck in Tulsa sells brisket plates for $12 and sides for $4. One day it sells 150 items for $1,320. How many plates did it sell?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0005 (linear expressions, relations and functions)
A graphing task uses f(x) = (x² − 9)/(x² − 2x − 3). Which list of features is right?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0007 (rational, radical, piecewise and absolute value functions)
A pipeline survey marks the points (−3, 11) and (6, −7) on a coordinate grid. Which equation is the straight line through both marks?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0005 (linear expressions, relations and functions)
A student squares both sides of √(2x + 3) = x − 6 and finds the candidates 3 and 11. Which of them satisfy the original equation?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0007 (rational, radical, piecewise and absolute value functions)
The graph of y = √x starts at (0, 0). It is slid, with no stretch or flip, so that it starts at (−4, 3). Which equation gives the new graph?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0003 (algebraic relations and functions)
Half of a radioactive sample remains after every 8 days. About what percent of the sample remains after 20 days?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0008 (exponential and logarithmic functions)
To solve 5x + 3y = 1 and 3x + 2y = 4 with matrices, a student needs the inverse of the matrix with rows (5, 3) and (3, 2). Which matrix is it?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0004 (linear algebra)
What is the minimum value of f(x) = 3x² − 18x + 20, and where does it occur?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0006 (quadratic and higher-order polynomial functions)
Which description fits the graph of 9x² + 4y² − 36x + 8y + 4 = 0?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0006 (quadratic and higher-order polynomial functions)
Which value or values of x make log₅ (x − 1) + log₅ (x + 3) = 1 a true statement?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0008 (exponential and logarithmic functions)
The zeros of a third-degree polynomial with real coefficients and leading coefficient 1 include −1 and 2 + i. What is the polynomial in standard form?OSAT Advanced Mathematics (211) framework, Subarea II, Relations, Functions, and Algebra, competency 0006 (quadratic and higher-order polynomial functions)
Subarea III: Trigonometry and calculus 11
A candidate differentiates p(x) = x³ sin x with the product rule. Which result is correct?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0012 (differential calculus)
A cart moves with velocity v(t) = 6t² − 4t + 3 meters per second. By integrating, how far does it travel between t = 0 and t = 2 seconds?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0013 (integral calculus)
A piecewise rule uses g(x) = x² + c when x < 3 and g(x) = 2cx − 6 when x ≥ 3. For which constant c does the graph have no break at x = 3?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0011 (limits, continuity and average rates of change)
A proof starts from sin θ/(1 + cos θ) + (1 + cos θ)/sin θ. To which single term does the sum simplify?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0009 (trigonometric expressions, functions and graphs)
A quantity y changes so that dy/dx = 3x²y, and y = 2 when x = 0. Which formula for y fits both conditions?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0013 (integral calculus)
A tide gauge is modeled by h(t) = 4 cos(πt/6 − π/2) + 9, with t in hours. What are the period of the model and its horizontal shift?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0009 (trigonometric expressions, functions and graphs)
An open box is made from a 12-inch square of sheet metal by cutting a square of side x from each corner and folding up the sides. Which x gives the greatest volume?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0012 (differential calculus)
The curve y = 2x³ − 3x² − 12x + 4 has one peak and one valley. Where is the peak?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0012 (differential calculus)
Direct substitution in (x² − 16)/(x² − x − 12) at x = 4 gives 0/0. What is the limit of the expression as x approaches 4?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0011 (limits, continuity and average rates of change)
Over one full turn, 0 ≤ x < 2π, where does 2 cos² x + cos x − 1 equal zero?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0010 (trigonometry used to model and solve problems)
Two straight roads leave a grain elevator at a 60° angle. A truck is 5 miles along one road and a combine is 8 miles along the other. How far apart are they?OSAT Advanced Mathematics (211) framework, Subarea III, Trigonometry and Calculus, competency 0010 (trigonometry used to model and solve problems)
Subarea IV: Measurement and geometry 9
A center-pivot irrigation arm 400 meters long sweeps through an angle of 3π/4 radians. What area does it water?OSAT Advanced Mathematics (211) framework, Subarea IV, Measurement and Geometry, competency 0014 (measurement)
A crate weighing 600 newtons rests on a base that measures 0.5 meter by 0.8 meter. What pressure does it put on the floor, in pascals (newtons per square meter)?OSAT Advanced Mathematics (211) framework, Subarea IV, Measurement and Geometry, competency 0014 (measurement)
A floor tile is a regular polygon whose corners each measure 150°. How many sides does the tile have?OSAT Advanced Mathematics (211) framework, Subarea IV, Measurement and Geometry, competency 0015 (Euclidean geometry in two and three dimensions)
A property line follows 2x + 5y = 10. A fence must cross it at a right angle and pass through a stake at (4, 9). Which equation gives the fence line?OSAT Advanced Mathematics (211) framework, Subarea IV, Measurement and Geometry, competency 0016 (coordinate geometry)
Chords AB and CD of a circle intersect at point P inside the circle. AP = 6, PB = 4 and CP = 3. What is PD?OSAT Advanced Mathematics (211) framework, Subarea IV, Measurement and Geometry, competency 0015 (Euclidean geometry in two and three dimensions)
In triangle ABC, AB = AC. A student draws the bisector of angle A to meet BC at D, then proves triangle ABD congruent to triangle ACD. Which criterion justifies the congruence?OSAT Advanced Mathematics (211) framework, Subarea IV, Measurement and Geometry, competency 0015 (Euclidean geometry in two and three dimensions)
Point Q(−3, 7) is turned 180° about the origin, and the result is reflected across the line y = x. Where is the final image?OSAT Advanced Mathematics (211) framework, Subarea IV, Measurement and Geometry, competency 0016 (coordinate geometry)
Two cones are similar, and the larger is 3 times as tall as the smaller. The smaller cone holds 20 cm³. How much does the larger hold?OSAT Advanced Mathematics (211) framework, Subarea IV, Measurement and Geometry, competency 0014 (measurement)
Which polar equation describes the circle x² + y² = 6x?OSAT Advanced Mathematics (211) framework, Subarea IV, Measurement and Geometry, competency 0016 (coordinate geometry)
Subarea V: Probability, statistics and discrete math 9
A ball dropped from 18 feet rebounds to one-third of its previous height on every bounce. Counting only the upward rebounds, what total distance do the rebounds approach?OSAT Advanced Mathematics (211) framework, Subarea V, Probability, Statistics, and Discrete Mathematics, competency 0019 (discrete mathematics)
A city emails a survey about a proposed sales tax to people who signed up for its newsletter, and 9% of them reply. What is the main reason the results may not represent all residents?OSAT Advanced Mathematics (211) framework, Subarea V, Probability, Statistics, and Discrete Mathematics, competency 0018 (statistics)
A committee of 4 is chosen from 9 teachers, and it must include the department chair, who is one of the 9. How many different committees are possible?OSAT Advanced Mathematics (211) framework, Subarea V, Probability, Statistics, and Discrete Mathematics, competency 0019 (discrete mathematics)
A free-throw shooter makes 3 of every 4 shots over the long run, and her attempts are independent. What is the probability that she makes exactly 2 of her next 3 attempts?OSAT Advanced Mathematics (211) framework, Subarea V, Probability, Statistics, and Discrete Mathematics, competency 0017 (probability)
A least-squares line predicts test scores from hours of study, and the correlation coefficient is r = 0.8. Which conclusion is valid?OSAT Advanced Mathematics (211) framework, Subarea V, Probability, Statistics, and Discrete Mathematics, competency 0018 (statistics)
A savings pattern follows b₁ = 5 and bₙ = 2bₙ₋₁ + 3 for n ≥ 2. What is b₅?OSAT Advanced Mathematics (211) framework, Subarea V, Probability, Statistics, and Discrete Mathematics, competency 0019 (discrete mathematics)
Bags from a feed mill have weights that are normally distributed with mean 50 pounds and standard deviation 0.4 pound. By the 68-95-99.7 rule, about what percent of bags weigh between 49.2 and 50.4 pounds?OSAT Advanced Mathematics (211) framework, Subarea V, Probability, Statistics, and Discrete Mathematics, competency 0017 (probability)
Of the 40 members of a county livestock club, 24 show cattle, 16 show sheep and 6 show both. A member picked at random shows sheep. What is the probability that this member also shows cattle?OSAT Advanced Mathematics (211) framework, Subarea V, Probability, Statistics, and Discrete Mathematics, competency 0017 (probability)
Raw quiz scores have mean 12 and standard deviation 3. A teacher rescales them by doubling each score and then adding 6. What are the mean and standard deviation of the rescaled scores?OSAT Advanced Mathematics (211) framework, Subarea V, Probability, Statistics, and Discrete Mathematics, competency 0018 (statistics)
How this list was compiled: Our own questions, written to the test design and framework of Oklahoma Subject Area Tests field 211, Advanced Mathematics, in the study guide on the Certification Examinations for Oklahoma Educators website (https://www.ceoe.nesinc.com/Content/StudyGuide/OK_SG_OBJ_211.htm, copyright 2025 Office of Educational Quality and Accountability and Pearson Education, Inc.; test page https://www.ceoe.nesinc.com/TestView.aspx?f=HTML_FRAG/OK211_TestPage.html, read 2026-10-13): 80 selected-response questions and 1 constructed-response assignment in 4 hours, passing score 240; selected response weighs Number Properties and Number Sense (competencies 0001 to 0002) 13%, Relations, Functions, and Algebra (0003 to 0008) 23%, Trigonometry and Calculus (0009 to 0013) 18%, Measurement and Geometry (0014 to 0016) 16% and Probability, Statistics, and Discrete Mathematics (0017 to 0019) 15%, and the constructed response (0020) 15%. The bank holds 50: 8, 13, 11, 9 and 9, with every one of the 19 selected-response competencies asked at least twice. Every answer is mathematics worked from the numbers in the question, and each one was worked a second time. Licence: Questions, choices and explanations are original work of this site.
How it works
This OSAT Advanced Mathematics practice test has 50 questions of our own, each solved step by step, on the 19 selected-response competencies of field 211. It is free, unofficial and not affiliated with Oklahoma's Office of Educational Quality and Accountability or Pearson.
Read the full guide
Five selected-response subareas, weighted as field 211 weights them
Field 211's framework, read on the CEOE site on October 13, 2026, gives Relations, Functions, and Algebra the largest share, 23% of the test. Trigonometry and Calculus follows at 18%, Measurement and Geometry at 16%, Probability, Statistics, and Discrete Mathematics at 15%, and Number Properties and Number Sense at 13%. The 50 questions here split 13, 11, 9, 9 and 8 in that order.
A formulas page and a written assignment
A page of definitions and formulas comes with the test, the test page says. A lesson-plan analysis written by the candidate carries the last 15% of the score and is not practiced here.
Competency 0019 is discrete mathematics: counting, recurrence relations, sequences and series, graph theory, logic and linear programming.
Questions and answers
How many questions are on the OSAT Advanced Mathematics test?
Field 211 has 80 selected-response questions and one constructed-response assignment. The test page allows 4 hours for both, after a 15-minute tutorial, and warns that a form may include unscored trial questions.
What is the passing score for OSAT Advanced Mathematics?
240 is the figure on the test page. Since the lesson-plan assignment feeds into that score, a count of right answers on this page has no scaled equivalent, and no pass verdict appears after a round.
Can you use a calculator on the OSAT Advanced Mathematics test?
Yes. The test page says the test comes with a scientific calculator on screen. It offers field 211 only at test centers, by appointment, and names no online-proctored version.
Is there calculus on the OSAT Advanced Mathematics test?
Yes. Subarea III, Trigonometry and Calculus, is 18% of the test. Its competencies 0011 to 0013 cover limits and continuity, differential calculus and integral calculus, first-order differential equations included.