TEAS Math Questions

Correct Answer: B

Rationale: To calculate the number of people who voted, we multiply the population by the percentage who voted: 51,623 * 0.095 = 4,904.785. Since we can't have a fraction of a person, we round to the nearest whole number, which is 5,000. Explanation: A: 3,000 is too low as it doesn't account for the entire 9.5%. B: Correct. 5,000 is the closest estimate after rounding. C: 7,000 is too high as it overestimates the number of voters. D: 10,000 is too high and doesn't align with the calculated value.

Correct Answer: A

Rationale: To find the percentage of staff that is certified and available, we first calculate the percentage of staff on vacation: 35% of the total staff. The remaining staff available to work is 65%. Then, we find 20% of the remaining staff that are certified, which is 20% of 65% = 0.2 * 0.65 = 0.13. Therefore, the correct answer is B: 0.13, as it represents the percentage of staff that is certified and available. Choice A: 0.07 is incorrect because it does not accurately represent the percentage of certified and available staff. Choice C: 0.65 is incorrect as it represents the percentage of staff remaining after vacation, not the percentage that is certified and available. Choice D: 0.8 is incorrect as it does not accurately reflect the calculated percentage of certified and available staff.

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: 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: C

Rationale: To find the new perimeter after scaling the rectangle by a factor of 2, we multiply the original dimensions by 2. The original perimeter is 2(5+10) = 30 inches. After scaling, the new width is 5*2 = 10 inches and the new length is 10*2 = 20 inches. The new perimeter is 2(10+20) = 60 inches. Therefore, the correct answer is C. Choice A (30 inches) is incorrect because that is the original perimeter, not the new perimeter after scaling. Choice B (40 inches) is incorrect because it does not consider the correct scaling factor. Choice D (50 inches) is incorrect as it miscalculates the new perimeter after scaling.