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.
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:
Show answer & explanation
Correct answer: D - The final price is 4% lower than the original
Question 2
Which expression is equivalent to (4 - 3i)(2 + 5i)?
Show answer & explanation
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?
Show answer & explanation
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?
Show answer & explanation
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?
Show answer & explanation
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?
Show answer & explanation
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?
Show answer & explanation
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?
Show answer & explanation
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?
Show answer & explanation
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?
Show answer & explanation
Correct answer: D - Ask the student to compute rise over run for two points