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100+ Free TExES Physics/Mathematics 7-12 (243) Practice Questions

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How many distinct ways can the letters of the word MATH be arranged?

A
B
C
D
to track
2026 Statistics

Key Facts: TExES Physics/Mathematics 7-12 (243) Exam

120

Selected-Response Questions

TExES 243 test page

5h / 4h45m

Appointment / Testing Time

TExES 243 test page

240

Scaled Passing Score

Texas educator testing program

$116

Computer-Administered Test Fee

TExES fees page

39%

Physics Domain Weight

TExES 243 exam framework

9

Content Domains

TExES 243 preparation manual

16%

Patterns and Algebra Weight

TExES 243 exam framework

7-12

Certification Grade Band

TExES 243 test page

For 2026 planning, the official TExES Physics/Mathematics 7-12 (243) exam remains a 120-question selected-response test with a 5-hour appointment, a 240 scaled passing score, and a $116 fee. The exam is heavily weighted toward Physics (39%), followed by Patterns and Algebra (16%), Geometry and Measurement (10%), and 7% each for Number Concepts, Probability and Statistics, and Scientific Inquiry and Processes. Because this is a combined physics-and-math certification, candidates must demonstrate strong content knowledge across both subjects plus subject-specific pedagogy.

Sample TExES Physics/Mathematics 7-12 (243) Practice Questions

Try these sample questions to test your TExES Physics/Mathematics 7-12 (243) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which of the following sets is closed under the operation of subtraction?
A.The natural numbers
B.The whole numbers
C.The integers
D.The set {0, 1}
Explanation: A set is closed under subtraction if subtracting any two of its members always yields a member of the set. For any two integers, their difference is always an integer, so the integers are closed under subtraction.
2What is the greatest common factor (GCF) of 48 and 60?
A.6
B.12
C.24
D.240
Explanation: Factoring gives 48 = 2^4 x 3 and 60 = 2^2 x 3 x 5. The GCF uses the lowest power of each shared prime: 2^2 x 3 = 12.
3Which statement correctly describes the number sqrt(2)?
A.It is a rational number that terminates
B.It is an irrational number with a non-repeating decimal expansion
C.It is an integer
D.It is a complex number with nonzero imaginary part
Explanation: The square root of 2 cannot be written as a ratio of two integers, so it is irrational. Its decimal expansion neither terminates nor repeats.
4In which number system is the equation x^2 + 1 = 0 solvable?
A.The rational numbers
B.The real numbers
C.The complex numbers
D.The natural numbers
Explanation: The equation x^2 = -1 has no real solution because the square of any real number is nonnegative. In the complex numbers, the solutions are x = i and x = -i.
5What is the value of the product (3 + 2i)(3 - 2i), where i is the imaginary unit?
A.5
B.9
C.13
D.9 + 4i
Explanation: This is a product of complex conjugates: (a + bi)(a - bi) = a^2 + b^2. Here 3^2 + 2^2 = 9 + 4 = 13.
6A number written in scientific notation as 6.02 x 10^23 represents which of the following?
A.602 followed by 21 zeros
B.A number with 24 significant figures
C.A very small number near zero
D.6.02 divided by 10^23
Explanation: Multiplying 6.02 by 10^23 shifts the decimal point 23 places to the right, giving 602 followed by 21 additional zeros. Scientific notation expresses very large or small numbers compactly.
7Which of the following best explains why division by zero is undefined?
A.Zero is not a real number
B.No number multiplied by zero gives a nonzero dividend
C.The result would always equal zero
D.Division is not commutative
Explanation: Division a/b is defined as the number c such that c x b = a. If b = 0 and a is nonzero, no value of c satisfies c x 0 = a, so the operation is undefined.
8Which expression is equivalent to the linear function f(x) = 2(x - 3) + 5?
A.2x - 1
B.2x + 2
C.2x - 6
D.2x + 8
Explanation: Distributing gives 2x - 6 + 5 = 2x - 1. The function has slope 2 and y-intercept -1.
9The roots of the quadratic equation x^2 - 5x + 6 = 0 are which of the following?
A.x = 1 and x = 6
B.x = 2 and x = 3
C.x = -2 and x = -3
D.x = -1 and x = -6
Explanation: Factoring gives (x - 2)(x - 3) = 0, so the roots are x = 2 and x = 3. Their sum is 5 and product is 6, matching the coefficients.
10What is the discriminant of the quadratic equation 2x^2 + 3x + 5 = 0, and what does it indicate?
A.49; two real rational roots
B.-31; two complex conjugate roots
C.0; one repeated real root
D.9; two real irrational roots
Explanation: The discriminant is b^2 - 4ac = 9 - 40 = -31. A negative discriminant indicates two complex conjugate roots and no real solutions.

About the TExES Physics/Mathematics 7-12 (243) Exam

TExES Physics/Mathematics 7-12 (243) is the combined Texas content exam for candidates seeking certification to teach both physics and mathematics in grades 7-12. The official framework spans nine domains, with the Physics domain weighted most heavily and the remaining domains covering algebra, geometry, number concepts, probability and statistics, scientific inquiry, and mathematics and science pedagogy.

Questions

120 scored questions

Time Limit

5h appointment (4h 45m testing)

Passing Score

240 (scaled)

Exam Fee

$116 (Texas Educator Certification Examination Program / Pearson)

TExES Physics/Mathematics 7-12 (243) Exam Content Outline

39%

Physics

Mechanics, energy, momentum, waves and optics, electricity and magnetism, thermodynamics, and modern physics, including quantitative problem solving.

16%

Patterns and Algebra

Functions and their inverses, equations and inequalities, polynomials, rational and radical expressions, exponential and logarithmic models, sequences, series, and matrices.

10%

Geometry and Measurement

Coordinate geometry, transformations, congruence and similarity, trigonometry, the Pythagorean theorem, area, surface area, and volume.

7%

Number Concepts

Real and complex number systems, properties of operations, closure, scientific notation, divisibility, and number theory.

7%

Probability and Statistics

Probability of simple and compound events, counting principles, distributions, measures of center and spread, correlation, and sampling.

7%

Scientific Inquiry and Processes

Experimental design, variables, units and measurement, significant figures, data analysis, laboratory safety, and the nature of science.

5%

Mathematical Processes and Perspectives

Mathematical reasoning and proof, problem solving, estimation, modeling, and connecting symbolic, numeric, and graphical representations.

5%

Mathematical Learning, Instruction, and Assessment

Recognizing and addressing student misconceptions, instructional sequencing, technology integration, and formative assessment in mathematics.

4%

Science Learning, Instruction, and Assessment

Inquiry-based science instruction, addressing science misconceptions, performance assessment, and interdisciplinary math-science connections.

How to Pass the TExES Physics/Mathematics 7-12 (243) Exam

What You Need to Know

  • Passing score: 240 (scaled)
  • Exam length: 120 questions
  • Time limit: 5h appointment (4h 45m testing)
  • Exam fee: $116

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

TExES Physics/Mathematics 7-12 (243) Study Tips from Top Performers

1Devote the most study time to the Physics domain (39%), reviewing mechanics, energy, waves, electricity and magnetism, thermodynamics, and modern physics with worked numerical problems
2Strengthen algebra and functions since Patterns and Algebra is the largest math domain at 16% and underpins physics problem solving
3Practice trigonometry, coordinate geometry, and measurement formulas (area, surface area, volume) for the Geometry and Measurement domain
4Review probability, counting principles, and data analysis, and be ready to interpret graphs, correlation, and distributions
5Master units, significant figures, dimensional analysis, and experimental design for the Scientific Inquiry and Processes domain
6Study the math and science learning domains by reasoning through student misconceptions, inquiry-based instruction, and formative assessment scenarios

Frequently Asked Questions

How many questions are on the TExES 243 exam?

The TExES Physics/Mathematics 7-12 (243) exam has 120 selected-response (multiple-choice) questions. The appointment is 5 hours total, with 4 hours 45 minutes of actual testing time after the tutorial and compliance sections.

What passing score do I need for TExES 243?

Texas requires a scaled score of 240 to pass. TExES scaled scores range from 100 to 300, so aim for consistent performance across all nine domains rather than targeting a guessed raw-score cutoff.

How is the TExES 243 exam weighted across physics and math?

Physics is the largest single domain at 39%. The mathematics domains together make up roughly half the exam, led by Patterns and Algebra at 16% and Geometry and Measurement at 10%, with Number Concepts and Probability and Statistics at 7% each.

How much does the TExES 243 exam cost?

The current computer-administered test fee for the 243 exam is $116. Always confirm the current fee at registration because Texas educator testing fees can change.

Is the TExES 243 a combined physics and mathematics certification?

Yes. Passing the 243 exam supports certification to teach both physics and mathematics in grades 7-12, so candidates must demonstrate strong content knowledge in both subjects plus subject-specific pedagogy and scientific inquiry.

How should I study for the TExES 243 exam?

Prioritize the Physics domain (39%) and core algebra, then practice mixed problem solving that connects mathematics to physics. Use the official preparation manual domains and competencies, and take full-length timed practice to build pacing across 120 questions.