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 how many questions the student answered correctly: 1. Calculate 85% of 50: 0.85 * 50 = 42.5 2. Since the student can't answer half a question, round down to the nearest whole number: 42 Therefore, the student answered 42 questions correctly. Option C is correct. Incorrect options: A: 40 questions - Too low, as the student scored above 40. B: 42 questions - Close but not rounded correctly. D: 45 questions - Too high, as the student's score was 85%.

Correct Answer: A

Rationale: To calculate how many liters are left after using 25%, we first find 25% of 10 liters: 10 * 0.25 = 2.5 liters used. Subtracting this from the initial amount gives us the remaining water: 10 - 2.5 = 7.5 liters left. Therefore, choice A (7.5 liters) is correct. Choice B (8 liters) is incorrect because it doesn't account for the water that was used. Choice C (6.5 liters) and choice D (8.5 liters) are also incorrect as they do not reflect the correct calculation based on the given information.

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 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.