TEAS Math Questions

Correct Answer: A

Rationale: To find the total height of the stacked boxes, we simply add the heights of the two boxes together. So, 4 inches (height of the first box) + 6 inches (height of the second box) = 10 inches. Therefore, the correct answer is A: 10 inches. Explanation of other choices: B: 12 inches - Incorrect because adding the heights of 4 inches and 6 inches does not equal 12 inches. C: 8 inches - Incorrect as the total height of the stacked boxes is not 8 inches. D: 9 inches - Incorrect because adding 4 inches and 6 inches does not result in 9 inches.

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: 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: 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.

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.