TEAS Math Questions

Correct Answer: C

Rationale: To find the number of students who will complete the program: 1. 3/4 of students major in nursing, so 3/4 * 100 = 75 students major in nursing. 2. 1/3 of nursing students complete the program, so 1/3 * 75 = 25 students will complete the program. Therefore, if 100 students are in the incoming class, 25 students will complete the program. Choice C (15) is incorrect because it does not align with the calculations. Choices A (75), B (20), and D (5) are also incorrect as they do not accurately reflect the number of students who will complete the program based on the given information.

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: B

Rationale: Veronica's total cost is the sum of the base price, surround sound system, and maintenance package: $40,210 + $3,015 + $5,218 = $48,443. This is the correct answer (B) as it calculates the total price accurately. Option A is incorrect as it only includes the base price. Option C is incorrect as it does not include the additional costs. Option D is incorrect as it only includes the base price without the additional expenses.

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: 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.