TEAS Math Questions

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: A

Rationale: To find the percentage of staff that is certified and available, we first calculate the percentage of staff on vacation: 35% of the total staff. The remaining staff available to work is 65%. Then, we find 20% of the remaining staff that are certified, which is 20% of 65% = 0.2 * 0.65 = 0.13. Therefore, the correct answer is B: 0.13, as it represents the percentage of staff that is certified and available. Choice A: 0.07 is incorrect because it does not accurately represent the percentage of certified and available staff. Choice C: 0.65 is incorrect as it represents the percentage of staff remaining after vacation, not the percentage that is certified and available. Choice D: 0.8 is incorrect as it does not accurately reflect the calculated percentage of certified and available staff.

Correct Answer: C

Rationale: The correct answer is C (29). To find the range, we subtract the lowest number of flights from the highest number. Given that the choices are 20, 25, 29, and 32, the range would be 32 (highest) - 20 (lowest) = 12. Therefore, the number of flights per month must fall within this range, which is accurately represented by choice C (29). Choices A, B, and D are outside of this range and do not align with the calculation for finding the range, making them incorrect.

Correct Answer: B

Rationale: To find the percentage of trips that are the longest route, divide the number of longest route trips (3) by the total number of trips (9) and multiply by 100. So, (3/9) * 100 = 33.33% ≈ 33% which corresponds to choice B. Option A (0.25) is incorrect as it represents 25%, not 33%. Option C (0.5) represents 50%, which is incorrect as well. Option D (0.75) represents 75%, which is also incorrect.

Correct Answer: C

Rationale: To determine which group is the smallest, we need to compare the fractions representing the proportion of patients in each group. Group Alpha has 1/2, Group Beta has 1/3, and Group Gamma has 1/6 of the total patients. To find the smallest group, we look for the smallest fraction. Among the choices, 1/6 in Group Gamma is the smallest fraction, hence Group Gamma is the smallest group. Incorrect choices: A: Group Alpha - 1/2 is larger than 1/3 and 1/6, making it larger than Group Beta and Group Gamma. B: Group Beta - 1/3 is larger than 1/6 but smaller than 1/2, making it larger than Group Gamma. D: Group Delta - This is not a valid choice in the question, so it is incorrect.