ATI TEAS 7
Math Practice TEAS Test
1. 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.
2. Sally wants to buy a used truck for her delivery business. Truck A is priced at $450 and gets 25 miles per gallon. Truck B costs $650 and gets 35 miles per gallon. If gasoline costs $4 per gallon, how many miles must Sally drive to make truck B the better buy?
- A. 500
- B. 7500
- C. 1750
- D. 4375
Correct answer: D
Rationale: To determine the breakeven point where Truck B becomes the better buy, we need to compare the total costs for both trucks. For Truck A: Total cost = $450 + (miles / 25) * $4. For Truck B: Total cost = $650 + (miles / 35) * $4. To find the point where Truck B is the better buy, set the two total cost equations equal to each other and solve for miles. By solving this equation, we find that Sally must drive 4375 miles for Truck B to be the better buy. Choice A (500) is too low, Choice B (7500) is too high, and Choice C (1750) does not represent the breakeven point where Truck B becomes more cost-effective.
3. Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza does each of the other three friends receive?
- A. 1/5
- B. 1/3
- C. 1/4
- D. 1/6
Correct answer: A
Rationale: After one friend eats half of the pizza, the remaining half is divided equally among the three other friends. Each of the three friends receives 1/3 of the remaining half, not 1/6. Therefore, the correct answer is 1/3 of 1/2, which is 1/6 of the total pizza. The incorrect choices are: B. 1/3 - This is the correct portion of the remaining pizza each friend receives, not 1/3. C. 1/4 - This is not the accurate portion each friend receives after the first friend eats half of the pizza. D. 1/6 - This is the portion of the total pizza each friend receives, not the portion each friend receives after the initial half is consumed.
4. A circular swimming pool has a circumference of 49 feet. What is the diameter of the pool?
- A. 15.6 feet
- B. 17.8 feet
- C. 49 feet
- D. 153.9 feet
Correct answer: A
Rationale: The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter. Given C = 49 feet, we can rearrange the formula to solve for d: 49 feet = πd. To find the diameter, we divide both sides by π, giving us d = 49 feet / π ≈ 15.6 feet. Therefore, the diameter of the swimming pool is approximately 15.6 feet. Choices B, C, and D are incorrect because they do not align with the calculation based on the formula for the circumference of a circle.
5. Write 290% as a fraction.
- A. 29/10
- B. 58/20
- C. 145/50
- D. 290/100
Correct answer: D
Rationale: To convert a percentage to a fraction, you write the percentage as the numerator of the fraction over 100. Therefore, 290% is equivalent to 290/100, which simplifies to 29/10. Choices A, B, and C are incorrect because they do not represent 290% as a fraction by placing the percentage value over 100.
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