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: The correct answer is C: 6 hours. To calculate the total time taken, we first find the time taken for the first leg of the journey: 300 miles at 60 mph = 300/60 = 5 hours. Then, for the second leg: 200 miles at 80 mph = 200/80 = 2.5 hours. Adding these two times gives us 5 + 2.5 = 7.5 hours. Since there was a 30-minute break during the trip, we subtract this break time from the total, giving us 7.5 - 0.5 = 7 hours. Therefore, the correct answer is 6 hours. Choice A (5.5 hours) is incorrect because it does not account for the break time. Choice B (7 hours) is incorrect because it does not consider the total time with the break. Choice D (4.5 hours) is incorrect as it does not accurately calculate the total time

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: A

Rationale: The correct answer is A: 1,050 people. To calculate the population next year, we need to add the 5% increase to the current population. 5% of 1,000 is 50, so the population will increase by 50 people. Therefore, the population next year will be 1,000 + 50 = 1,050 people. Choice B (1,200 people) is incorrect because it assumes a 20% increase instead of 5%. Choice C (1,100 people) is incorrect because it does not consider the 5% increase. Choice D (1,300 people) is incorrect as it implies a 30% increase, which is not accurate based on the given 5% annual increase.

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.