ATI TEAS 7
ATI TEAS Math Practice Test
1. A charter bus driver drove at an average speed of 65 mph for 305 miles. If he stops at a gas station for 15 minutes, then drives another 162 miles at an average speed of 80 mph, how long will it have been since he began the trip?
- A. 0.96 hours
- B. 6.44 hours
- C. 6.69 hours
- D. 6.97 hours
Correct answer: D
Rationale: To find the total time, we first calculate the time taken for the first leg of the trip by dividing the distance of 305 miles by the speed of 65 mph, which equals 4.69 hours. After that, we add the 15 minutes spent at the gas station, which is 0.25 hours. Next, we calculate the time taken for the second leg of the trip by dividing the distance of 162 miles by the speed of 80 mph, which equals 2.03 hours. Adding these times together (4.69 hours + 0.25 hours + 2.03 hours) gives us a total time of 6.97 hours. Therefore, it will have been 6.97 hours since the driver began the trip. Choice A is incorrect as it does not account for the time spent driving the second leg of the trip. Choice B is incorrect as it only considers the time for the first leg of the trip and the time spent at the gas station. Choice C is incorrect as it misses the time taken for the second leg of the trip.
2. Four people split a bill. The first person pays for 1/3, the second person pays for 1/4, and the third person pays for 1/6. What fraction of the bill does the fourth person pay?
- A. 1/4
- B. 1/6
- C. 1/3
- D. 1/12
Correct answer: D
Rationale: To find out what fraction of the bill the fourth person pays, you first calculate the total fraction paid by the first three people: 1/3 + 1/4 + 1/6 = 4/12 + 3/12 + 2/12 = 9/12 = 3/4. This means that the first three people paid 3/4 of the bill. Therefore, the fourth person pays the remaining fraction: 1 - 3/4 = 1/4. So, the fourth person pays 1/4 of the bill. Choice A, 1/4, is incorrect because this is the total fraction paid by the first person. Choice B, 1/6, is incorrect as this is the fraction paid by the second person. Choice C, 1/3, is incorrect as this is the fraction paid by the third person.
3. After a hurricane, donations were collected and divided into various categories. If 23% of the funds went towards construction costs, what is the percentage donated to support construction?
- A. 0.49
- B. 0.23
- C. 0.18
- D. 0.1
Correct answer: B
Rationale: The correct answer is B (0.23). To find the percentage of funds donated for construction costs, we need to consider the given percentage, which is 23%. In decimal form, 23% is represented as 0.23. Choices A, C, and D are incorrect because they do not match the correct decimal equivalent of 23%, which is 0.23. It's essential to convert percentages to decimal form accurately to calculate the correct percentage of funds allocated for a specific purpose.
4. How many millimeters are in a meter?
- A. 100 mm
- B. 1,000 mm
- C. 10,000 mm
- D. 100,000 mm
Correct answer: B
Rationale: The correct answer is B: 1,000 mm. This is because there are 1,000 millimeters in a meter. To convert from meters to millimeters, you need to multiply by 1,000. Choices A, C, and D are incorrect. A meter is equivalent to 1,000 millimeters, not 100 (A), 10,000 (C), or 100,000 (D) millimeters.
5. How many centimeters in an inch? How many inches in a centimeter?
- A. 2.54 centimeters in an inch; 0.393 inches in a centimeter
- B. 1 centimeter in an inch; 1 inch in a centimeter
- C. 1.5 centimeters in an inch; 1.5 inches in a centimeter
- D. 2 centimeters in an inch; 0.5 inches in a centimeter
Correct answer: A
Rationale: The correct conversion is: 1 inch = 2.54 centimeters and 1 centimeter = 0.393 inches. Therefore, option A is correct. Option B is incorrect as the conversion is incorrect. Option C is incorrect as it does not match the correct conversion values. Option D is incorrect as the conversion values provided are inaccurate.
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