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Free Practice Questions for TExES Math 4-8 (115)

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Exam Review

Key Facts: TExES Math 4-8 (115) Exam

100

Selected-Response Questions

TExES 115 test page

5h / 4h45m

Appointment / Testing Time

TExES 115 test page

240

Scaled Passing Score

TExES 115 test page

$116

Current Test Fee

TExES 115 test page

6

Official Content Domains

TExES 115 exam framework

21%

Largest Domain Weight (Algebra and Geometry each)

TExES 115 exam framework

CAT

Computer-Administered Test Format

TExES 115 test page

4-8

Certified Grade Band

TEA certification standards

For 2026 planning, the official Mathematics 4-8 (115) exam is a 100-question computer-administered selected-response test with a 5-hour appointment (4 hours 45 minutes of testing), a 240 scaled passing score, and a $116 fee. The framework weights Patterns and Algebra and Geometry and Measurement at 21% each, Number Concepts and Probability and Statistics at 16% each, Mathematical Learning, Instruction and Assessment at 16%, and Mathematical Processes and Perspectives at 10%. Candidates should confirm the current Required Texas Certification Tests chart for their certificate route before registering.

Sample TExES Math 4-8 (115) Practice Questions

Try these sample questions to review concepts for the TExES Math 4-8 (115) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 124+ question experience with AI tutoring.

1Which of the following best describes the relationship between the set of integers and the set of rational numbers?
A.Every integer is a rational number, but not every rational number is an integer
B.Every rational number is an integer, but not every integer is rational
C.The two sets are identical
D.No integer is a rational number
Explanation: Any integer n can be written as n/1, so it satisfies the definition of a rational number (a ratio of two integers with nonzero denominator). However, rationals such as 1/2 are not integers, so the integers are a proper subset of the rationals.
2A student claims that 0.999... (repeating) is less than 1. Which argument correctly shows the two values are equal?
A.Let x = 0.999...; then 10x = 9.999..., so 10x - x = 9, giving 9x = 9 and x = 1
B.0.999... rounds up to 1, so they are equal
C.0.999... has infinitely many digits, so it cannot equal a whole number
D.Since 0.999... never reaches 1, the values are only approximately equal
Explanation: Setting x = 0.999... and multiplying by 10 yields 10x = 9.999.... Subtracting the original equation gives 9x = 9, so x = 1 exactly. This algebraic argument proves the equality rather than relying on rounding or limits informally.
3What is the greatest common factor (GCF) of 48 and 60?
A.6
B.12
C.24
D.240
Explanation: Prime factorizing 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. So the greatest common factor of 48 and 60 is 12.
4A recipe requires 3/4 cup of flour per batch. How many cups are needed for 2 1/3 batches?
A.1 1/2 cups
B.1 3/4 cups
C.2 cups
D.2 1/4 cups
Explanation: Convert 2 1/3 to 7/3 and multiply: 3/4 x 7/3 = 21/12 = 7/4 = 1 3/4 cups. The factor of 3 cancels, simplifying the product to 7/4.
5Which statement correctly explains why dividing by a fraction is equivalent to multiplying by its reciprocal?
A.Dividing asks how many groups of the divisor fit into the dividend, and scaling both by the divisor's reciprocal yields a denominator of 1
B.Reciprocals always equal the original fraction, so the operations are interchangeable
C.Division and multiplication are the same operation for fractions only
D.The reciprocal cancels the numerator, leaving the denominator unchanged
Explanation: Division a/b ÷ c/d can be written as a fraction over a fraction; multiplying numerator and denominator by d/c makes the denominator equal to 1, leaving a/b x d/c. This shows dividing by c/d equals multiplying by its reciprocal d/c.
6Using the standard algorithm for multiplication, what role does the partial product structure illustrate about place value?
A.Each digit is multiplied according to its place value, and partial products are shifted to reflect powers of ten
B.Place value is irrelevant once digits are aligned to the right
C.Partial products must always be added before any multiplication occurs
D.Carrying replaces the need to track place value
Explanation: The standard multiplication algorithm decomposes each factor by place value; each partial product is shifted left to account for tens, hundreds, and so on. This shifting reflects multiplication by the corresponding power of ten and reveals the distributive structure of the algorithm.
7How many distinct prime numbers are factors of 360?
A.2
B.3
C.4
D.5
Explanation: The prime factorization of 360 is 2^3 x 3^2 x 5. The distinct primes are 2, 3, and 5, so there are 3 distinct prime factors.
8A number is divisible by 6 if and only if it is divisible by which pair of numbers?
A.1 and 6
B.2 and 3
C.3 and 4
D.2 and 4
Explanation: Because 6 = 2 x 3 and 2 and 3 are relatively prime, a number is divisible by 6 exactly when it is divisible by both 2 and 3. Divisibility by coprime factors guarantees divisibility by their product.
9Which expression is equivalent to writing 0.0000425 in scientific notation?
A.4.25 x 10^-5
B.4.25 x 10^5
C.42.5 x 10^-6
D.4.25 x 10^-4
Explanation: Moving the decimal point five places to the right to obtain 4.25 means multiplying by 10^-5. So 0.0000425 = 4.25 x 10^-5, with a coefficient between 1 and 10 as required by scientific notation.
10A store offers a 20% discount, then applies an additional 10% off the discounted price. What single percent discount is equivalent to these two successive discounts?
A.28%
B.30%
C.25%
D.32%
Explanation: Successive discounts multiply the remaining fractions: 0.80 x 0.90 = 0.72, meaning the customer pays 72% and saves 28%. The discounts do not simply add to 30% because the second applies to an already-reduced price.

About the TExES Math 4-8 (115) Exam

TExES Mathematics 4-8 (115) is the Texas content exam that certifies teachers to teach mathematics in grades 4-8. The official framework spans six domains: Number Concepts, Patterns and Algebra, Geometry and Measurement, Probability and Statistics, Mathematical Processes and Perspectives, and Mathematical Learning, Instruction and Assessment.

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

Questions

100 questions

Time Limit

5h appointment (4h 45m testing)

Passing Score

240 (scaled)

Exam / Certification Fees

$116

Exam sponsor website

Reported exam pass rate: Approximately 60-75% first attempt. general range for TExES content exams; official 115 pass rates vary by reporting year 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.

16%

Number Concepts

Number system structure, number operations and algorithms, number theory, and modeling and solving problems with numbers.

21%

Patterns and Algebra

Pattern identification and analysis, linear and nonlinear functions, and foundations of calculus relevant to middle school mathematics.

21%

Geometry and Measurement

Measurement processes, Euclidean geometry, two- and three-dimensional figures, and transformational geometry.

16%

Probability and Statistics

Data exploration and analysis, probability theory, and statistical inference and predictions.

10%

Mathematical Processes and Perspectives

Mathematical reasoning and problem solving, plus mathematical connections and communication.

16%

Mathematical Learning, Instruction and Assessment

Student learning and development in mathematics, instructional planning and implementation, and assessment techniques.

Preparing for the TExES Math 4-8 (115) Exam

What You Need to Know

  • Passing score: 240 (scaled)
  • Exam length: 100 questions
  • Time limit: 5h appointment (4h 45m testing)
  • Exam / certification fees: $116 Official sources

Using Our Practice Resources

  • Work through all 124 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

TExES Math 4-8 (115): Suggested Study Strategy

1Spend the most time on Patterns and Algebra and Geometry and Measurement, which together make up 42% of the exam
2Review number theory shortcuts (GCF, LCM, divisibility, prime factorization) for quick wins in Domain I
3Practice translating among tables, graphs, equations, and verbal descriptions of functions for Domain II
4Memorize core measurement formulas for area, surface area, and volume, and the scale factor effects on area and volume
5For probability and statistics, distinguish mean versus median for skewed data and practice expected-value calculations
6Treat the pedagogy domains as scenario items: favor conceptual understanding, addressing misconceptions, and data-informed instruction

Frequently Asked Questions

How many questions are on the TExES Mathematics 4-8 (115)?

The official 115 test page lists 100 selected-response questions delivered as a computer-administered test. The appointment is 5 hours, with 4 hours 45 minutes of testing time after a 15-minute tutorial and compliance agreement.

What passing score do I need for TExES 115?

The passing standard is a scaled score of 240. TExES scaled scores range from 100 to 300, so aim for consistent performance across all six domains rather than targeting a guessed raw-score cutoff.

How much does the TExES Mathematics 4-8 exam cost?

The current fee for Mathematics 4-8 (115) is $116, and additional fees may apply. Always confirm the current fee at registration because Texas educator test fees can change.

Which domains are weighted most heavily on TExES 115?

Patterns and Algebra (21%) and Geometry and Measurement (21%) carry the most weight. Number Concepts, Probability and Statistics, and Mathematical Learning, Instruction and Assessment are each 16%, and Mathematical Processes and Perspectives is 10%.

Is the TExES Mathematics 4-8 (115) a calculator exam?

An on-screen graphing calculator and reference materials are provided within the computer-administered test for the items that require them. Confirm the current provided resources in the official 115 preparation manual before testing.

How should I study for TExES 115 efficiently?

Prioritize functions, geometry, and measurement since those domains carry 42% combined, then review number theory, probability, and statistics. Include the pedagogy domains on learning, instruction, and assessment, and practice with TEKS-aligned, scenario-based items.