TEAS Math Practice Test

Correct Answer: C

Rationale: To find the fraction of blue shirts, we need to subtract the fractions of green and red shirts from 1 (total). Given that 1/4 are green and 1/3 are red, the fraction of blue shirts is 1 - 1/4 - 1/3 = 12/12 - 3/12 - 4/12 = 5/12. Therefore, the correct answer is C: 5/12. Choice A (1/2) is incorrect as it doesn't consider the given fractions of green and red shirts. Choice B (1/3) is incorrect as it only considers the fraction of red shirts. Choice D (1/4) is incorrect as it only considers the fraction of green shirts.

Correct Answer: C

Rationale: To add 7/8 and 5/8, we add the numerators: 7 + 5 = 12, keeping the denominator as 8. So, the sum is 12/8. To express it in reduced form, we divide both numerator and denominator by their greatest common divisor, which is 4. Therefore, 12/8 simplifies to 3/2, which is equivalent to 31/36. Option C (31/36) is correct. Option A (9/17) and Option D (3/5) are incorrect as they do not match the correct sum. Option B (1/3) is incorrect as it does not account for the common denominator of 8 in the addition.

Correct Answer: D

Rationale: To find the speed in feet per second, first convert 72 miles to feet (1 mile = 5280 feet). Then, convert 90 minutes to seconds (1 minute = 60 seconds). Next, divide the distance in feet by the time in seconds to get the speed in feet per second. The correct calculation is (72 miles * 5280 feet/mile) / (90 minutes * 60 seconds/minute) = 70.4 feet per second. Choice A is too low, choice B is too high, and choice C is extremely low compared to the correct answer.

Correct Answer: D

Rationale: To find the fraction the fourth person pays, we need to calculate the sum of fractions paid by the first three people. 1/3 + 1/4 + 1/6 = 4/12 + 3/12 + 2/12 = 9/12. Therefore, the fourth person pays 1 - 9/12 = 3/12 or 1/4 of the bill. Choice D (1/12) is incorrect as it does not account for the fractions paid by the other three people. Choices A (1/4), B (1/6), and C (1/3) are incorrect as they represent the fractions paid by other individuals, not the fourth person.

Correct Answer: A

Rationale: To round 8.067 to the nearest tenth, we look at the hundredth place, which is 6. Since 6 is equal to or greater than 5, we round the digit in the tenths place up by 1. Therefore, 8.067 rounded to the nearest tenth is 8.1. Choice A is correct because it correctly follows the rounding rule. Choice B is incorrect as it is a duplicate of Choice A. Choice C is incorrect as it rounds down to the nearest whole number, not the nearest tenth. Choice D is incorrect as it rounds up to the hundredth place, not the nearest tenth.