TEAS Math Questions

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: 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: 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: 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 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.