ATI TEAS 7
TEAS Exam Math Practice
1. What is 2.7834 rounded to the nearest tenth?
- A. 2.7
- B. 2.78
- C. 2.8
- D. 2.88
Correct answer: C
Rationale: To round 2.7834 to the nearest tenth, we look at the digit in the hundredths place, which is 8. Since 8 is greater than or equal to 5, the digit in the tenths place is rounded up. Therefore, 2.7834 rounded to the nearest tenth is 2.8. Choice A (2.7) is incorrect because rounding down would require the digit in the hundredths place to be less than 5. Choice B (2.78) is incorrect because rounding to the nearest tenth involves considering the digit in the hundredths place. Choice D (2.88) is incorrect as it goes beyond rounding to just the nearest tenth.
2. A couple dining at a restaurant receives a bill for $28.40. They wish to leave a 10% tip. Which of the following is the estimated gratuity?
- A. $4.00
- B. $6.00
- C. $2.50
- D. $3.00
Correct answer: D
Rationale: To calculate a 10% tip on a bill of $28.40, you would first find 10% of $28.40, which is $2.84. Since you typically round up when leaving a tip, the estimated gratuity would be $3.00. Option A is incorrect as it is too high for a 10% tip. Option B is incorrect as it is too high. Option C is incorrect as it is too low for a 10% tip. Therefore, the correct answer is $3.00.
3. A restaurant employs servers, hosts, and managers in a ratio of 9:2:1. If there are 36 total employees, what is the number of hosts at the restaurant?
- A. 3
- B. 4
- C. 6
- D. 8
Correct answer: C
Rationale: To find the number of hosts in the restaurant, first, express the ratio algebraically as 9x + 2x + 1x = 36, where x represents the common factor. Combine like terms to get 12x = 36. Solve for x by dividing both sides by 12 to get x = 3. To find the number of hosts, multiply the coefficient of hosts (2) by x, which equals 6. Therefore, there are 6 hosts at the restaurant. Choice A, 3, is incorrect as it represents the number of servers. Choices B and D are incorrect as they do not correspond to the number of hosts based on the given ratio.
4. The force applied is directly proportional to the stretch of a coil. If a force of 132 Newtons stretches a coil 0.07 meters, what force would be needed to stretch a coil 0.1 meter? Round your answer to the nearest tenth.
- A. 92.4 Newtons
- B. 1885.7 Newtons
- C. 188.6 Newtons
- D. 136.0 Newtons
Correct answer: C
Rationale: To find the force needed to stretch the coil 0.1 meters, we can set up a proportion based on the given information. The initial force and stretch are in direct proportion, so we can use this relationship to determine the unknown force. (132 N / 0.07 m) = X / 0.1 m. Cross-multiplying, we get 132 N * 0.1 m / 0.07 m = 188.57 N, which rounds to 188.6 N. Therefore, the correct answer is 188.6 Newtons. Choice A is incorrect as it does not match the calculated answer. Choice B is significantly higher and does not align with the proportional relationship. Choice D is close but does not account for the correct rounding as specified in the question.
5. A recipe calls for 2.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
- A. 5.33 mL
- B. 7.43 mL
- C. 12.325 mL
- D. 0.507 mL
Correct answer: C
Rationale: To convert 2.5 teaspoons of vanilla to milliliters, you multiply by the conversion factor: 2.5 teaspoons * 4.93 mL = 12.325 mL. Therefore, the correct amount of vanilla in milliliters is 12.325 mL. Choice A (5.33 mL) is incorrect because it does not account for the correct conversion factor. Choice B (7.43 mL) is incorrect as it also does not use the accurate conversion factor. Choice D (0.507 mL) is incorrect as it represents a miscalculation of the conversion.
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