TEAS Math Practice Test

Correct Answer: D

Rationale: To find the sum of 3/4 and 5/8, we need a common denominator, which is 8. 3/4 is equivalent to 6/8, so the sum becomes 6/8 + 5/8 = 11/8. 11/8 can be simplified to 1 3/8, which is answer choice A. Therefore, the correct answer is D, 1 5/8. Choices A, B, and C are incorrect as they do not represent the correct sum of the fractions.

Correct Answer: C

Rationale: The number -4 is classified as real, rational, and integer. 1. Real: -4 is a real number as it exists on the number line. 2. Rational: -4 can be expressed as -4/1, which is a ratio of two integers. 3. Integer: -4 is a whole number that includes negative numbers. Therefore, the correct answer is C. Summary: A: Incorrect, as it includes "natural," which does not apply to negative numbers. B: Incorrect, as it includes "natural," which is only positive integers. D: Incorrect, as -4 is rational, not irrational.

Correct Answer: D

Rationale: The factors of a number are the integers that can divide the number without leaving a remainder. To find the factors of 12, we start with 1 and check each integer up to 12. 1, 2, 3, 4, 6, and 12 are all factors of 12 because they divide evenly into 12. Choice D is correct because it lists all the factors of 12. Choices A, B, and C include numbers that are not factors of 12, making them incorrect.

Correct Answer: C

Rationale: To find the sixth number, we can first calculate the sum of all six numbers by multiplying the average (6) by the total count (6), which equals 36. Since the sum of five numbers is 25, the sixth number can be found by subtracting 25 from 36, giving us 11 (Choice C). Other choices are incorrect because they do not satisfy the conditions given in the question. Choice A, 8, would make the sum of six numbers less than 36. Choice B, 10, would also make the sum less than 36. Choice D, 12, would make the sum greater than 36. Thus, the correct answer is C (11).

Correct Answer: A

Rationale: To express 18/5 as a reduced mixed number, we divide 18 by 5 which equals 3 with a remainder of 3. So, 18/5 = 3 3/5. This mixed number is in its simplest form. Choice A is correct. Choices B, C, and D are incorrect as they do not represent the correct division of 18 by 5 resulting in the remainder of 3.