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Free Practice Questions for TExES Math 7-12 (235)

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Key Facts: TExES Math 7-12 (235) Exam

100

Selected-Response Questions

TExES 235 test page

5 hours

Test Appointment Length

TExES 235 test page

240

Scaled Passing Score

Texas educator testing program

$116

Registration Fee

TExES fees page

6

Content Domains

TExES 235 exam framework

33%

Largest Domain (Patterns and Algebra)

TExES 235 exam framework

19%

Geometry and Measurement Weight

TExES 235 exam framework

TI-84

Approved Graphing Calculator Family

TExES 235 calculator policy

For 2026 planning, the official TExES Mathematics 7-12 (235) framework is a 100-question selected-response exam taken in a 5-hour appointment, with a 240 scaled passing score and a $116 fee. The six domains are weighted Patterns and Algebra at 33%, Geometry and Measurement at 19%, Number Concepts at 14%, Probability and Statistics at 14%, Mathematical Processes and Perspectives at 10%, and Mathematical Learning, Instruction and Assessment at 10%. Candidates must bring an approved graphing calculator (TI-73, TI-83, TI-84, or TI-Nspire with a TI-84 keypad) and should confirm the current Required Texas Certification Tests chart before registering.

Sample TExES Math 7-12 (235) Practice Questions

Try these sample questions to review concepts for the TExES Math 7-12 (235) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which of the following numbers is irrational?
A.0.272727... (repeating)
B.The square root of 50
C.22/7
D.-4.5
Explanation: The square root of 50 simplifies to 5 times the square root of 2, and the square root of 2 is irrational, so the product is irrational. An irrational number cannot be written as a ratio of two integers and has a non-terminating, non-repeating decimal expansion.
2What is the result of multiplying the complex numbers (3 + 2i) and (1 - 4i)?
A.11 - 10i
B.3 - 8i
C.-5 - 10i
D.11 + 14i
Explanation: Using the distributive property: (3)(1) + (3)(-4i) + (2i)(1) + (2i)(-4i) = 3 - 12i + 2i - 8i^2. Since i^2 = -1, the term -8i^2 becomes +8, giving 3 + 8 - 10i = 11 - 10i.
3What is the greatest common divisor (GCD) of 84 and 120?
A.6
B.12
C.24
D.4
Explanation: Factoring gives 84 = 2^2 * 3 * 7 and 120 = 2^3 * 3 * 5. The GCD takes the lowest power of each shared prime: 2^2 * 3 = 12. Thus 12 is the largest integer dividing both numbers.
4A quantity grows from 250 to 320. What is the percent increase, rounded to the nearest tenth of a percent?
A.21.9%
B.28.0%
C.70.0%
D.12.8%
Explanation: Percent increase equals the change divided by the original amount: (320 - 250)/250 = 70/250 = 0.28 = 28.0%. The original value is the base of comparison.
5Which statement correctly describes the relationship between the rational numbers and the real numbers?
A.Every real number is rational
B.The rational numbers are a proper subset of the real numbers
C.The real numbers are a proper subset of the rational numbers
D.The rational and real numbers are disjoint sets
Explanation: Every rational number is a real number, but some real numbers (such as the square root of 2 and pi) are irrational and not rational. Therefore the rationals form a proper subset of the reals.
6What is the absolute value (modulus) of the complex number 5 - 12i?
A.7
B.13
C.17
D.169
Explanation: The modulus of a complex number a + bi is the square root of (a^2 + b^2). Here that is the square root of (25 + 144) = the square root of 169 = 13.
7How many positive divisors does the number 360 have?
A.12
B.24
C.18
D.36
Explanation: Factor 360 = 2^3 * 3^2 * 5^1. The number of positive divisors is the product of one more than each exponent: (3+1)(2+1)(1+1) = 4 * 3 * 2 = 24.
8Solve for x: 3(2x - 4) = 5x + 1.
A.x = 13
B.x = -13
C.x = 11
D.x = -11
Explanation: Distribute to get 6x - 12 = 5x + 1. Subtract 5x from both sides: x - 12 = 1. Add 12 to both sides: x = 13.
9What are the solutions to the quadratic equation x^2 - 6x + 8 = 0?
A.x = 2 and x = 4
B.x = -2 and x = -4
C.x = 1 and x = 8
D.x = 3 and x = 5
Explanation: Factor the quadratic into (x - 2)(x - 4) = 0. Setting each factor to zero gives x = 2 and x = 4. These multiply to 8 and add to 6, matching the coefficients.
10What is the slope of the line passing through the points (-1, 4) and (3, -2)?
A.-3/2
B.3/2
C.-2/3
D.2/3
Explanation: Slope equals the change in y divided by the change in x: (-2 - 4)/(3 - (-1)) = -6/4 = -3/2. The line falls as x increases, so the negative slope is expected.

About the TExES Math 7-12 (235) Exam

TExES Mathematics 7-12 (235) is the Texas content certification exam for secondary mathematics teachers. It is a computer-administered test of 100 selected-response questions spanning number concepts, patterns and algebra, geometry and measurement, probability and statistics, mathematical processes, and mathematics learning, instruction, and assessment.

Exam sponsor: Texas Educator Certification Examination Program / Pearson. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

100 questions

Time Limit

5-hour appointment

Passing Score

240 (scaled)

Exam / Certification Fees

$116

Exam sponsor website

Reported exam pass rate: 60-70%. estimated first-attempt range; the 235 content exam is among the more demanding TExES content tests due to calculus and advanced topics This describes exam candidates, not OpenExamPrep users or results from using our resources. Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

33%

Patterns and Algebra

Functions and relations, linear and quadratic functions, polynomials, rational and radical functions, exponential and logarithmic functions, trigonometry, sequences and series, matrices, and calculus (limits, derivatives, integrals).

19%

Geometry and Measurement

Measurement processes and units, Euclidean and coordinate geometry, axiomatic systems, congruence and similarity, circles, area, surface area, volume, and geometric transformations.

14%

Number Concepts

The real number system, the complex number system, quantitative and proportional reasoning, number theory, and appropriate use of technology.

14%

Probability and Statistics

Organizing and interpreting data, measures of center and spread, probability of simple and compound events, combinatorics, sampling, and statistical inference.

10%

Mathematical Processes and Perspectives

Mathematical reasoning and proof, problem solving, modeling, connections among representations, mathematical communication, and the development of mathematical ideas.

10%

Mathematical Learning, Instruction and Assessment

How students learn mathematics, planning effective instruction and learning environments, addressing misconceptions, and formal and informal assessment of mathematical understanding.

Preparing for the TExES Math 7-12 (235) Exam

What You Need to Know

  • Passing score: 240 (scaled)
  • Exam length: 100 questions
  • Time limit: 5-hour appointment
  • Exam / certification fees: $116 Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

TExES Math 7-12 (235): Suggested Study Strategy

1Spend the most time on Patterns and Algebra since it is 33% of the exam and includes calculus topics many candidates have not used recently
2Refresh calculus fundamentals: limits, the power rule for derivatives, basic antiderivatives, and evaluating definite integrals
3Memorize unit-circle values and the Pythagorean and reciprocal trigonometric identities for fast recognition
4Practice with your approved graphing calculator so menu navigation does not cost time during the 5-hour test
5Review probability and combinatorics formulas, including permutations, combinations, and the empirical (68-95-99.7) rule
6For Domains V and VI, choose responses that emphasize reasoning, multiple representations, addressing misconceptions, and formative assessment

Frequently Asked Questions

How many questions are on the TExES Mathematics 7-12 (235)?

The official 235 test page lists 100 selected-response (multiple-choice) questions, taken within a 5-hour appointment on a computer-administered test. There is no constructed-response or essay section.

What passing score do I need for TExES 235?

The passing standard is a scaled score of 240 on a 100-300 scale. Because scoring is scaled, aim for consistent performance across all six domains rather than targeting a guessed raw-question count.

How much does the TExES Math 7-12 exam cost?

The current registration fee is $116. Always confirm the fee during registration because Texas educator testing fees can change.

Which domains are weighted most heavily on TExES 235?

Patterns and Algebra is the largest domain at 33%, followed by Geometry and Measurement at 19%. Number Concepts and Probability and Statistics are each 14%, and the two pedagogy-oriented domains are each 10%.

Can I use a calculator on the TExES 235 exam?

Yes. You must bring an approved graphing calculator on test day. The approved models are the Texas Instruments TI-73, TI-83, TI-84, and TI-Nspire handheld with the TI-84 keypad; other models are not permitted.

How hard is the TExES Mathematics 7-12 (235)?

It is one of the more demanding TExES content exams because it spans advanced topics including calculus, trigonometry, and discrete mathematics. Candidates who have not used calculus recently should budget extra review time before testing.