TEAS Test Sample Math Questions

Correct Answer: C

Rationale: To find the fraction of blue shirts, we must first determine the fraction of green and red shirts. Given that 2/5 are green and 1/3 are red, the remaining fraction for blue shirts can be calculated by subtracting the sum of green and red fractions from 1 (total). Green: 2/5, Red: 1/3 Total fraction of green and red shirts: 2/5 + 1/3 = 6/15 + 5/15 = 11/15 Fraction of blue shirts: 1 - 11/15 = 4/15 Therefore, the correct answer is C (7/15) as the fraction of blue shirts is 4/15, leaving 7/15 for blue shirts. Other choices are incorrect as they do not align with the calculated fraction for blue shirts.

Correct Answer: A

Rationale: To solve the problem 6 + 3 * 2, we must follow the order of operations (PEMDAS/BODMAS). According to this rule, multiplication should be completed first before addition. So, 3 * 2 = 6. Then we add 6 to 6 to get the final answer of 12. Therefore, the correct operation to be completed first is multiplication (Choice A). The other choices are incorrect because division and subtraction are not part of the given equation, and addition should only be done after completing multiplication in this case.

Correct Answer: C

Rationale: The product of two irrational numbers can be either rational or irrational. To understand this, consider √2 * √2 = 2, making it rational. However, √2 * π remains irrational. Therefore, the product can be either rational or irrational, leading to choice C being the correct answer. Choice A is incorrect because the product may be rational. Choice B is incorrect as the product is not always rational. Choice D is incorrect as it does not address the possibility of the product being rational.

Correct Answer: A

Rationale: To express 18/5 as a reduced mixed number, divide 18 by 5. This gives you 3 whole numbers and a remainder of 3. So, the correct answer is 3 3/5. Choice B is incorrect because it doesn't simplify to a whole number and proper fraction. Choices C and D are incorrect as they do not represent the correct division of 18 by 5.

Correct Answer: B

Rationale: To calculate speed in feet per second, we need to convert miles to feet and minutes to seconds. 72 miles = 72 * 5280 feet. 90 minutes = 90 * 60 seconds. Speed = distance / time. So, speed = (72 * 5280) / (90 * 60) = 48.9 feet per second. Therefore, choice B is correct. Choice A is too slow, choice C is extremely slow, and choice D is too fast when compared to the calculated speed.