ATI TEAS 7
TEAS Exam Math Practice
1. What is the area of a triangle with a base of 10 cm and a height of 7 cm?
- A. 70 cm²
- B. 35 cm²
- C. 140 cm²
- D. 100 cm²
Correct answer: B
Rationale: To find the area of a triangle, you use the formula A = 1/2 × base × height. Substituting the given values: A = 1/2 × 10 cm × 7 cm = 35 cm². Therefore, the correct answer is B. Choice A (70 cm²) is incorrect as it seems to be the product of the base and height rather than the area formula. Choice C (140 cm²) is incorrect as it appears to be twice the correct answer, possibly a result of a miscalculation. Choice D (100 cm²) is incorrect as it does not reflect the correct calculation based on the given base and height values.
2. 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.
3. What is the formula to find the circumference of a circle?
- A. Circumference = 2πr
- B. Circumference = πr²
- C. Circumference = 2r²
- D. Circumference = r²π
Correct answer: A
Rationale: The correct formula to find the circumference of a circle is C = 2πr, where C represents the circumference and r is the radius of the circle. Choice B, Circumference = πr², represents the formula for the area of a circle rather than the circumference. Choice C, Circumference = 2r², is incorrect as it does not involve π in the formula. Choice D, Circumference = r²π, has the terms reversed compared to the correct formula; the formula should start with the constant (2) multiplied by π, followed by the radius.
4. 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.
5. What is the volume of a ball with a diameter of 7 inches?
- A. 165.7 in³
- B. 179.6 in³
- C. 184.5 in³
- D. 192.3 in³
Correct answer: A
Rationale: To find the volume of a sphere, the formula V = (4/3)πr³ is used, where r is the radius of the sphere. Given that the diameter of the ball is 7 inches, the radius (r) would be half of the diameter, which is 3.5 inches. Plugging this value into the formula: V = (4/3)π(3.5)³ = (4/3)π(42.875) ≈ 165.7 in³. Therefore, the correct answer is A. Choice B, C, and D are incorrect as they do not accurately represent the volume of the ball with a diameter of 7 inches.
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