ATI TEAS 7
TEAS Math Questions
1. If 3/4 of students at a university major in nursing and 1/3 of those students complete the program, how many will complete the program if 100 students are in the incoming class?
- A. 75
- B. 20
- C. 15
- D. 5
Correct answer: C
Rationale: Out of the 100 students, 3/4 (75 students) major in nursing. Since 1/3 of those students complete the program, 1/3 * 75 = 25 students will complete the program. Therefore, 25 students out of the 100 incoming class will complete the program, making choice C (15) the correct answer. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the given information.
2. What is the length of the unknown leg of a right triangle that has one leg measuring 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)
- A. 16.7 feet
- B. 16.0 feet
- C. 17.4 feet
- D. 8.4 feet
Correct answer: A
Rationale: To find the length of the unknown leg (a) of a right triangle, use the Pythagorean theorem: a² + 9² = 19². Substitute the known values, solve for a: a² + 81 = 361. Subtract 81 from both sides to get a² = 280. Taking the square root of 280 gives a ≈ 16.7 feet. Therefore, the correct answer is 16.7 feet. Choice B (16.0 feet) is incorrect as it does not accurately round to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value using the Pythagorean theorem.
3. Which of the following is listed in order from least to greatest? (-3/4, -7 4/5, -8, 18%, 0.25, 2.5)
- A. -3/4, -7 4/5, -8, 18%, 0.25, 2.5
- B. -8, -7 4/5, -3/4, 18%, 0.25, 2.5
- C. 18%, 0.25, -3/4, 2.5, -7 4/5, -8
- D. -8, -7 4/5, -3/4, 18%, 0.25, 2.5
Correct answer: D
Rationale: To arrange the numbers from least to greatest, we first compare the integers, then the fractions, and finally the percentages and decimals. The correct order is -8, -7 4/5, -3/4, 18%, 0.25, 2.5. Choice A is incorrect because it incorrectly orders the fractions. Choice B is incorrect because it incorrectly places -8 after the fractions. Choice C is incorrect because it starts with the percentages instead of the integers, leading to an incorrect order.
4. How many milliliters are there in 3.2 liters?
- A. 0.32
- B. 32
- C. 3200
- D. 320
Correct answer: C
Rationale: To convert liters to milliliters, you need to know that 1 liter is equal to 1000 milliliters. Therefore, 3.2 liters is equivalent to 3.2 x 1000 = 3200 milliliters. Choice A (0.32) is incorrect as it incorrectly moves the decimal point. Choice B (32) is incorrect as it doesn't consider the conversion factor between liters and milliliters. Choice D (320) is incorrect as it is a partial conversion error, missing a zero at the end.
5. 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.
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