ATI TEAS 7
Math Practice TEAS Test
1. Which is larger, feet or meters? What is the correct conversion factor between feet and meters?
- A. Feet are larger; 1 foot is 0.3048 meters
- B. Meters are larger; 1 meter is 3.28 feet
- C. Feet are smaller; 1 foot is 0.5 meters
- D. Meters are smaller; 1 meter is 2 feet
Correct answer: A
Rationale: The correct answer is A. Feet are larger than meters. The conversion factor between feet and meters is 1 foot = 0.3048 meters. Choice B is incorrect as it states that meters are larger than feet, which is the opposite of the truth. Choice C is incorrect as it provides an incorrect conversion factor of 1 foot = 0.5 meters, which is inaccurate. Choice D is also incorrect as it suggests that meters are smaller than feet, which is not true.
2. Which measure for the center of a small sample set would be most affected by outliers?
- A. Mean
- B. Median
- C. Mode
- D. None of the above
Correct answer: A
Rationale: The mean is calculated by summing all values in a dataset and then dividing by the total number of values. Outliers, which are data points significantly different from the other values, can greatly impact the mean because they affect the sum. The mean is sensitive to extreme values, making it the measure for the center of a small sample set most affected by outliers. The median, on the other hand, is not influenced by outliers as it represents the middle value when the data points are ordered. The mode is the value that appears most frequently in the dataset and is not directly influenced by outliers. Therefore, the correct answer is the mean, as it is highly influenced by outliers in a small sample set.
3. In a study measuring the average hours worked per week by different types of hospital staff (such as nurses and physicians), what are the dependent and independent variables?
- A. The dependent variable is Nurses. The independent variable is Physicians.
- B. The dependent variable is Physicians. The independent variable is Nurses.
- C. The dependent variable is Hospital Staff. The independent variable is Average hours worked per week.
- D. The dependent variable is Average hours worked per week. The independent variable is Hospital Staff.
Correct answer: D
Rationale: In this study, the dependent variable is the 'Average hours worked per week,' as it relies on the different types of 'Hospital Staff' (the independent variable). The amount of time worked per week varies based on the category of staff being considered. Therefore, the correct choice is D. Choices A and B incorrectly assign the dependent and independent variables to specific staff categories (Nurses and Physicians), which are actually different elements within the study. Choice C incorrectly defines the dependent variable as 'Hospital Staff,' when in fact, it is the 'Average hours worked per week' that is dependent on the type of staff.
4. Complete the following equation: x + x * x - x / x = ?
- A. 5
- B. 3
- C. 2
- D. 1
Correct answer: B
Rationale: To solve the equation x + x * x - x / x, follow the order of operations (PEMDAS/BODMAS). First, perform the multiplication: x * x = x^2. Then, perform the division: x / x = 1. Substituting these back into the equation gives x + x^2 - 1. Therefore, the equation simplifies to x + x^2 - 1. By evaluating this further, the final result is 3. Choices A, C, and D are incorrect because they do not correctly apply the order of operations to solve the equation.
5. Which of the following is the correct decimal placement for the product of 1.6 * 0.93?
- A. 14.88
- B. 0.1488
- C. 1.488
- D. 0.001488
Correct answer: C
Rationale: To find the product of 1.6 * 0.93, you multiply these two numbers to get 1.488. Therefore, the correct decimal placement for the product is 1.488. Choice A, 14.88, is incorrect as it incorrectly places the decimal two spots to the right. Choice B, 0.1488, is incorrect as it incorrectly places the decimal one spot to the right. Choice D, 0.001488, is incorrect as it incorrectly places the decimal three spots to the right.
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