TExES Mathematics 4-8 (115) Exam Prep
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Free TExES 115 Practice Questions

10 exam-style questions with answers and explanations, straight from our 1,030-question bank. Tap an answer to check yourself. When you're ready, take the scored version in the free practice test.

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The TExES 115 exam has 100 questions and runs 5 hours.

These 10 free TExES 115 questions are organized by exam domain, so you can see how each part of the TExES Mathematics 4-8 (115) blueprint is tested. Reveal the answer and explanation under each question.

Domain 1: Number Concepts 16% of exam

Question 1

A store increases the price of a jacket by 20%. During a later sale, the store reduces that increased price by 20%. Compared with the original price, the final price is:

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Correct answer: D - The final price is 4% lower than the original

Question 2

Which expression is equivalent to (4 - 3i)(2 + 5i)?

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Correct answer: A - 23 + 14i

Domain 2: Patterns and Algebra 21% of exam

Question 3

A gym charges a one-time registration fee of $40 plus $25 for each month of membership. Which statement best describes the relationship between the number of months and the total cost?

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Correct answer: A - Linear but not proportional; the line misses the origin

Question 4

For a function, the y-values corresponding to x = 1, 2, 3, 4, and 5 are 3, 6, 11, 18, and 27. Which type of function best models this relationship?

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Correct answer: D - Quadratic, because the second differences are constant

Domain 3: Geometry and Measurement 21% of exam

Question 5

Two similar cylindrical water tanks have heights in the ratio 2:5. The smaller tank holds 16 liters when full. How much does the larger tank hold when full?

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Correct answer: C - 250 liters

Question 6

A cyclist travels at a steady speed of 12 meters per second. What is this speed expressed in kilometers per hour?

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Correct answer: C - 43.2 kilometers per hour

Domain 4: Probability and Statistics 16% of exam

Question 7

A class of 12 students has a mean test score of 91. A second class of 28 students has a mean test score of 76. What is the mean score for all 40 students combined?

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Correct answer: B - 80.5

Question 8

A bag contains 5 red marbles and 7 blue marbles. Two marbles are drawn at random without replacement. What is the probability that both marbles are red?

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Correct answer: A - 5/33

Domain 6: Mathematical Learning, Instruction and Assessment 16% of exam

Question 9

A student's homework shows the following work: 2/3 + 1/5 = 3/8 and 3/4 + 2/7 = 5/11. Which conclusion is best supported by this student's work?

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Correct answer: C - The student adds numerators and denominators separately

Question 10

During a lesson on slope, a student states that a vertical line has a slope of zero. Which teacher response best advances the student's understanding?

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Correct answer: D - Ask the student to compute rise over run for two points

The rest of the TExES 115 blueprint

The TExES 115 exam also covers these domains. Drill them in the full free practice test:

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