TEAS Math Questions

Correct Answer: C

Rationale: The correct order is Gamma, Alpha, Beta. Step 1: Find the least common multiple (LCM) of the fractions: LCM of 2, 3, and 6 is 6. Step 2: Calculate the number of patients in each group for a total of 6 patients. Group Alpha: 6 * (1/2) = 3 patients. Group Beta: 6 * (1/3) = 2 patients. Group Gamma: 6 * (1/6) = 1 patient. Therefore, the correct order is Gamma (1 patient), Alpha (3 patients), Beta (2 patients). Choice C is correct as it reflects this order. Choices A, B, and D are incorrect as they do not follow the correct distribution of patients based on the fractions given.

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: 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: 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: B

Rationale: To calculate the number of people who voted, we multiply the population by the percentage who voted: 51,623 * 0.095 = 4,904.785. Since we can't have a fraction of a person, we round to the nearest whole number, which is 5,000. Explanation: A: 3,000 is too low as it doesn't account for the entire 9.5%. B: Correct. 5,000 is the closest estimate after rounding. C: 7,000 is too high as it overestimates the number of voters. D: 10,000 is too high and doesn't align with the calculated value.