TEAS Math Practice Test

Correct Answer: A

Rationale: To express 0.0523 as a fraction, we need to consider the decimal places. Since 0.0523 has 4 decimal places, we place the digits after the decimal point over the place value of the last digit, which is 10000. Therefore, the fraction is 523/10000, making choice A the correct answer. Choices B, C, and D are incorrect as they do not reflect the correct placement of decimal digits relative to the decimal point and the corresponding place value.

Correct Answer: A

Rationale: To find 15% of 200, you multiply 200 by 0.15 (which is the decimal equivalent of 15%). 200 * 0.15 = 30. Therefore, the correct answer is A (30). Option B (20) is incorrect because it represents 10% of 200. Option C (25) is incorrect as it is not the result of calculating 15% of 200. Option D (40) is incorrect as it is the result of multiplying 20% by 200.

Correct Answer: A

Rationale: To calculate relative error, we use the formula: (|Measured Value - Actual Value| / Actual Value) x 100%. In this case, the calculation is: (|36 - 35.75| / 35.75) x 100% = (0.25 / 35.75) x 100% ≈ 0.70%. Therefore, the correct answer is A (0.70%). Choice B (0.01%) is too small, choice C (0.99%) and choice D (0.10%) are too large compared to the calculated relative error of 0.70%.

Correct Answer: A

Rationale: To round 8.067 to the nearest tenth, we look at the hundredth place, which is 6. Since 6 is equal to or greater than 5, we round the digit in the tenths place up by 1. Therefore, 8.067 rounded to the nearest tenth is 8.1. Choice A is correct because it correctly follows the rounding rule. Choice B is incorrect as it is a duplicate of Choice A. Choice C is incorrect as it rounds down to the nearest whole number, not the nearest tenth. Choice D is incorrect as it rounds up to the hundredth place, not the nearest tenth.

Correct Answer: C

Rationale: To find the sixth number, we can first calculate the sum of all six numbers by multiplying the average (6) by the total count (6), which equals 36. Since the sum of five numbers is 25, the sixth number can be found by subtracting 25 from 36, giving us 11 (Choice C). Other choices are incorrect because they do not satisfy the conditions given in the question. Choice A, 8, would make the sum of six numbers less than 36. Choice B, 10, would also make the sum less than 36. Choice D, 12, would make the sum greater than 36. Thus, the correct answer is C (11).