TEAS Math Questions

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 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: Step 1: Given that y is three times x, the equation should reflect this relationship. Step 2: The equation y = 3x correctly models this relationship, where y is equal to three times x. Step 3: Option A (y = 3x) is the correct choice as it directly represents y as three times x. Summary: Choices B, C, and D do not correctly model the relationship between x and y as specified. Choice B (x = 3y) is the inverse relationship, Choice C (y = x + 3) adds 3 to x instead of representing y as three times x, and Choice D (y = x / 3) represents y as x divided by 3, not three times x.

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.