TEAS Math Questions

Correct Answer: B

Rationale: Step 1: Calculate the number of boys in the class. 60% of 30 students = 0.6 * 30 = 18 boys. Step 2: Calculate the number of girls in the class. Since there are 30 students in total, and 18 are boys, there must be 30 - 18 = 12 girls. Therefore, the correct answer is B: 12 girls. Other choices are incorrect because they do not align with the given percentages and total number of students.

Correct Answer: C

Rationale: To find the number of students who will complete the nursing program: 1. Out of 100 students, 3/4 major in nursing = 75 students. 2. Only 1/3 of those who major in nursing complete the program: (1/3) * 75 = 25 students. Therefore, the correct answer is C (25 students) because only a third of the 75 nursing majors, which is 25 students, will complete the nursing program. Choice A (75) is incorrect because it represents the total number of students majoring in nursing, not completing the program. Choice B (20) and Choice D (5) are incorrect as they do not consider the proportions given in the question and do not calculate the number of students completing the program accurately.

Correct Answer: A

Rationale: To find the percentage of staff certified and available during the holiday, we first calculate the remaining staff after 35% are on vacation (100% - 35% = 65%). Then, 20% of the remaining 65% are certified (20% of 65% = 0.20 * 65% = 13%). Therefore, the percentage of staff certified and available is 13% (0.13), which corresponds to choice B. However, the question asks for the percentage, not the decimal representation. To convert 0.13 to a percentage, we multiply by 100, resulting in 13%. Therefore, the correct answer is A (0.13 expressed as a percentage is 13%). Choices C and D are incorrect as they do not match the calculated percentage.

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: B

Rationale: Step 1: Calculate the number of boys in the class. 60% of 30 students = 0.6 * 30 = 18 boys. Step 2: Calculate the number of girls in the class. Since there are 30 students in total, and 18 are boys, there must be 30 - 18 = 12 girls. Therefore, the correct answer is B: 12 girls. Other choices are incorrect because they do not align with the given percentages and total number of students.