TEAS Math Questions

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: C

Rationale: To find the number of students who will complete the nursing program: 1. Out of 100 students, 3/4 major in nursing = 75 students. 2. Only 1/3 of those who major in nursing complete the program: (1/3) * 75 = 25 students. Therefore, the correct answer is C (25 students) because only a third of the 75 nursing majors, which is 25 students, will complete the nursing program. Choice A (75) is incorrect because it represents the total number of students majoring in nursing, not completing the program. Choice B (20) and Choice D (5) are incorrect as they do not consider the proportions given in the question and do not calculate the number of students completing the program accurately.

Correct Answer: A

Rationale: The correct answer is A: 1,050 people. To calculate the population next year, we need to add the 5% increase to the current population. 5% of 1,000 is 50, so the population will increase by 50 people. Therefore, the population next year will be 1,000 + 50 = 1,050 people. Choice B (1,200 people) is incorrect because it assumes a 20% increase instead of 5%. Choice C (1,100 people) is incorrect because it does not consider the 5% increase. Choice D (1,300 people) is incorrect as it implies a 30% increase, which is not accurate based on the given 5% annual increase.

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: 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.