ATI TEAS 7
TEAS Practice Math Test
1. A lab technician took 100 hairs from a patient to conduct several tests. The technician used 1/7 of the hairs for a drug test. How many hairs were used for the drug test? (Round your answer to the nearest hundredth.)
- A. 14
- B. 14.2
- C. 14.29
- D. 14.3
Correct answer: C
Rationale: To find how many hairs were used for the drug test, you need to calculate 1/7 of 100. 1/7 of 100 is 14.2857, which rounds to 14.29 when rounded to the nearest hundredth. Therefore, 14.29 hairs were used for the drug test. Choice A is incorrect as it does not account for rounding to the nearest hundredth. Choices B and D are incorrect as they do not accurately reflect the calculated value after rounding.
2. What was the mean time for the women who ran the 200m event at the 2008 Olympic Games (times in seconds: 22.33, 22.50, 22.50, 22.61, 22.71, 22.72, 22.83, 23.22)?
- A. 22.50 sec
- B. 22.66 sec
- C. 22.68 sec
- D. 22.77 sec
Correct answer: C
Rationale: To find the mean time, you need to add all the times (22.33 + 22.50 + 22.50 + 22.61 + 22.71 + 22.72 + 22.83 + 23.22) and then divide by the total number of times (8). This calculation results in a mean time of 22.68 seconds. Choice A, 22.50 sec, is incorrect because it is the time of one of the runners, not the mean time. Choice B, 22.66 sec, and Choice D, 22.77 sec, are also incorrect as they are not the calculated mean of the given times.
3. How do you find the least common multiple?
- A. List all multiples of the numbers, then find the smallest common one
- B. List all factors of the numbers, then find the largest common one
- C. Divide the largest number by the smallest
- D. Multiply the two numbers together
Correct answer: A
Rationale: The correct way to find the least common multiple is to list all the multiples of each number and then identify the smallest common multiple. Choice A is correct because it describes the correct process. Listing factors, as suggested in choice B, helps in finding the greatest common factor, not the least common multiple. Dividing the largest number by the smallest, as mentioned in choice C, does not help find the least common multiple. Multiplying the two numbers together, as stated in choice D, results in their least common multiple when the numbers have no common factors.
4. Complete the following equation: 2 + (2)(2) - 2 รท 2 = ?
- A. 5
- B. 3
- C. 2
- D. 1
Correct answer: A
Rationale: To solve the equation, follow the order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). 1. Calculate inside the parentheses first: (2)(2) = 4. 2. Then, perform multiplication and division: 2 + 4 - 1 = 6 - 1 = 5. Therefore, the correct answer is 5. Choice B (3) is incorrect because multiplication is done before subtraction. Choices C (2) and D (1) are incorrect as they do not follow the correct order of operations to solve the equation.
5. Round to the nearest tenth: 8.067.
- A. 8.07
- B. 8.1
- C. 8
- D. 8.11
Correct answer: A
Rationale: When rounding a number to the nearest tenth, you look at the digit in the hundredths place. Since 8.067 has a 6 in the hundredths place, which is equal to or greater than 5, you round the tenths place up by 1. Therefore, rounding 8.067 to the nearest tenth gives 8.07. Choice B (8.1) would be incorrect because 8.067 is closer to 8.1 than to 8, but it's not quite there. Choice C (8) is incorrect as it would be rounding down, and Choice D (8.11) is incorrect as it is rounding to the nearest hundredth, not the nearest tenth.
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