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: 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: C

Rationale: To find the new perimeter after scaling the rectangle by a factor of 2, we multiply the original dimensions by 2. The original perimeter is 2(5+10) = 30 inches. After scaling, the new width is 5*2 = 10 inches and the new length is 10*2 = 20 inches. The new perimeter is 2(10+20) = 60 inches. Therefore, the correct answer is C. Choice A (30 inches) is incorrect because that is the original perimeter, not the new perimeter after scaling. Choice B (40 inches) is incorrect because it does not consider the correct scaling factor. Choice D (50 inches) is incorrect as it miscalculates the new perimeter after scaling.

Correct Answer: B

Rationale: To calculate the probability of consecutively pulling 2 orange blocks without replacement, we first find the probability of pulling 1 orange block, then the probability of pulling another orange block. 1. Probability of first orange block = 3/12 = 1/4 2. After removing 1 orange block, there are 2 orange blocks left out of 11 total blocks. 3. Probability of second orange block = 2/11 4. Multiply the probabilities: (1/4) * (2/11) = 2/44 = 1/22 5. Simplify the fraction: 1/22 = 2/44 = 3/66 = 3/55 Therefore, the correct answer is B (3/55) as it represents the probability of consecutively pulling two more orange blocks without replacement. Other choices are incorrect as they do not follow the correct calculation steps.

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.