TEAS Math Questions

Correct Answer: A

Rationale: To find the number of hours spent sleeping, we need to calculate 1/4 of a day. Since a day has 24 hours, 1/4 of 24 is 24/4 = 6 hours. Therefore, the correct answer is A: 6 hours. Choice B (8 hours) is incorrect as it is not 1/4 of a day. Choices C (4 hours) and D (5 hours) are also incorrect as they do not represent 1/4 of a day.

Correct Answer: C

Rationale: The correct order is C: Group Gamma, Group Alpha, Group Beta. Step-by-step rationale: First, calculate the fraction of patients in each group: 1/2 for Alpha, 1/3 for Beta, and 1/6 for Gamma. Next, convert the fractions to a common denominator: 6. This gives 3 patients in Alpha, 2 in Beta, and 1 in Gamma. Therefore, the correct order is Group Gamma (1 patient) < Group Alpha (3 patients) < Group Beta (2 patients). Other choices are incorrect because they do not follow the correct order based on the fraction of patients assigned to each group.

Correct Answer: A

Rationale: The correct answer is A. To determine which group has the largest number of patients, we need to find the group with the largest fraction. Comparing 1/2, 1/3, and 1/6, 1/2 is the largest fraction. Therefore, the group represented by 1/2 has the largest number of patients. Summary of other choices: B: Beta - Represents 1/3, which is smaller than 1/2. C: Gamma - Represents 1/6, which is smaller than both 1/2 and 1/3. D: Delta - No fraction is provided, so we cannot compare it to the other groups.

Correct Answer: A

Rationale: To find the percentage of staff certified and available during the holiday, we first calculate the remaining staff after 35% are on vacation (100% - 35% = 65%). Then, 20% of the remaining 65% are certified (20% of 65% = 0.20 * 65% = 13%). Therefore, the percentage of staff certified and available is 13% (0.13), which corresponds to choice B. However, the question asks for the percentage, not the decimal representation. To convert 0.13 to a percentage, we multiply by 100, resulting in 13%. Therefore, the correct answer is A (0.13 expressed as a percentage is 13%). Choices C and D are incorrect as they do not match the calculated percentage.

Correct Answer: C

Rationale: The correct answer is C: 6 hours. To calculate the total time taken, we first find the time taken for the first leg of the journey: 300 miles at 60 mph = 300/60 = 5 hours. Then, for the second leg: 200 miles at 80 mph = 200/80 = 2.5 hours. Adding these two times gives us 5 + 2.5 = 7.5 hours. Since there was a 30-minute break during the trip, we subtract this break time from the total, giving us 7.5 - 0.5 = 7 hours. Therefore, the correct answer is 6 hours. Choice A (5.5 hours) is incorrect because it does not account for the break time. Choice B (7 hours) is incorrect because it does not consider the total time with the break. Choice D (4.5 hours) is incorrect as it does not accurately calculate the total time