TEAS Test Math Prep

Correct Answer: B

Rationale: To calculate the percentage increase, we subtract the original value from the new value (60 - 40 = 20), then divide this difference by the original value (20 / 40 = 0.5). Finally, multiply this result by 100 to get the percentage increase, which is 50%. Choice B is correct as it accurately represents the percentage increase from 40 to 60. Choices A, C, and D are incorrect because they do not provide the correct percentage increase calculation based on the given values.

Correct Answer: A

Rationale: To calculate relative error, we use the formula: (|Measured Value - True Value| / True Value) * 100%. In this case, the measured width is 36 inches and the true width is 75 inches. So, the relative error = (|36 - 75| / 75) * 100% = (39 / 75) * 100% = 52%. Therefore, the correct answer is A: 0.52%. Choice B (0.01%), C (0.99%), and D (0.10%) are incorrect as they do not correspond to the calculated relative error of 52% in this scenario.

Correct Answer: B

Rationale: To round 2678 to the nearest thousandth, we look at the digit in the thousandth place, which is 6. Since the next digit is 7, we round 6 up to 7. The thousandth place is used to decide whether to round up or down in this case. Choices A, C, and D are incorrect as they refer to other place values that are not relevant when rounding to the nearest thousandth.

Correct Answer: C

Rationale: The correct answer is C (4). Sarah buys one red can of paint every month for four months. So, she buys 1 can each month, totaling 4 cans over 4 months. To find the total number of cans, we add 1 + 1 + 1 + 1 = 4. Therefore, Sarah bought 4 red cans in total. Choices A, B, and D are incorrect because they do not accurately reflect the total number of cans Sarah bought. Choice A (2) is incorrect because it only represents half of the cans she actually bought. Choice B (3) is incorrect because it does not account for the full four months. Choice D (5) is incorrect because it overestimates the number of cans purchased.

Correct Answer: B

Rationale: To find the weight difference in kilograms, we subtract Alan's goal weight (175 lbs) from his current weight (200 lbs): 200 lbs - 175 lbs = 25 lbs Next, we convert pounds to kilograms using the conversion factor 0.45 kg per 1 lb: 25 lbs x 0.45 kg/lb = 11.25 kg Therefore, the correct answer is B (11.25 kg). Other choices are incorrect because they do not properly calculate the weight difference in kilograms based on the given conversion factor.