TEAS Test Sample Math Questions

Correct Answer: A

Rationale: To divide fractions, we multiply the first fraction by the reciprocal of the second. So, (4/3) ÷ (9/13) = (4/3) x (13/9) = 52/27. The correct answer is A, 52/27, as it follows the correct procedure of dividing fractions. The other choices are incorrect because they do not result from the proper operation of dividing fractions.

Correct Answer: C

Rationale: To find what fraction the fourth person pays, we first calculate the sum of fractions paid by the first three people: 1/5 + 1/3 + 1/12 = 12/60 + 20/60 + 5/60 = 37/60. The total bill is 1, so the fourth person pays 1 - 37/60 = 23/60. Therefore, the correct answer is C (47/60). Choice A (1/4) is incorrect as it does not consider the fractions paid by the first three people. Choice B (13/60) is incorrect as it is the sum of the fractions paid by the first three people, not what the fourth person pays. Choice D (1/4) is a duplicate of choice A and is also incorrect.

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: 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.

Correct Answer: B

Rationale: To find out how much paint Shawna has left, subtract the amount she used from the total amount she bought. 5.0 gallons - 2.5 gallons = 2.5 gallons left. So, the correct answer is B: 2.5 gallons. Choice A (2.0 gallons) is incorrect as it does not account for the amount used. Choice C (3.0 gallons) is incorrect as it overestimates the amount left. Choice D (1.5 gallons) is incorrect as it underestimates the amount left.