TEAS Math Practice Test

Correct Answer: A

Rationale: Step-by-step rationale: 1. Convert 1/3 to a decimal: 1 divided by 3 equals 0.3333... 2. Compare 0.5 to 0.3333...; it is evident that 0.5 is larger. 3. Therefore, 0.5 is larger than 1/3. Summary: Choice A is correct as 0.5 is greater than 1/3. Choice B is incorrect as 1/3 is smaller. Choice C is incorrect as they are not equal. Choice D is incorrect as a comparison can be made.

Correct Answer: A

Rationale: To find what number 20 is equal to 40% of, you divide 20 by 0.40 (40%). This gives 50, which is choice A. The correct answer is A because 20 is indeed 40% of 50. Choices B, C, and D are incorrect because 20 is not 40% of 8, 200, or 5000 respectively.

Correct Answer: C

Rationale: To find the number of red cans Jessica bought, let's denote the number of red cans as 'x' and the number of blue cans as '10 - x'. The total cost equation is: 1*x + 2*(10-x) = 16. Simplify to x + 20 - 2x = 16, which gives x = 4. Therefore, Jessica bought 4 red cans. Explanation for other choices: A: 2 red cans would result in a total cost of $18, not $16. B: 3 red cans would result in a total cost of $17, not $16. D: 5 red cans would result in a total cost of $15, not $16.

Correct Answer: A

Rationale: To round 245.2678 to the nearest thousandth, we look at the digit in the thousandths place, which is 7. Since 7 is greater than or equal to 5, we round up. The ten-thousandths place, denoted by the digit 8 in this case, is used to decide whether to round up or down when rounding to the nearest thousandth. The correct answer is A (Ten-thousandths). Summary: A: Ten-thousandths - Correct, used to decide rounding up or down in rounding to the nearest thousandth. B: Thousandths - Incorrect, this is the place being rounded to. C: Hundredths - Incorrect, not relevant for rounding to the nearest thousandth. D: Thousand - Incorrect, not relevant for rounding to the nearest thousandth.

Correct Answer: D

Rationale: To find the speed in feet per second, first convert 72 miles to feet (1 mile = 5280 feet). Then, convert 90 minutes to seconds (1 minute = 60 seconds). Next, divide the distance in feet by the time in seconds to get the speed in feet per second. The correct calculation is (72 miles * 5280 feet/mile) / (90 minutes * 60 seconds/minute) = 70.4 feet per second. Choice A is too low, choice B is too high, and choice C is extremely low compared to the correct answer.