ATI TEAS 7
Mathematics
1. A playground fence has a rectangular section (5m by 3m) attached to a semicircular section with a radius of 2m. What is the total perimeter?
- A. 13m
- B. 16m
- C. 19m
- D. 22m
Correct answer: D
Rationale: Calculate the semicircle perimeter (π * radius) and add it to the rectangular perimeter: perimeter = π * radius + 2 (length + width) ≈ 3.14 * 2m + 2 (5m + 3m) ≈ 6.28m + 16m ≈ 22.28m ≈ 22m (rounded).
2. The critical angle is defined as the minimum angle of incidence in a denser medium for which light undergoes:
- A. Total internal reflection
- B. Continued refraction
- C. Specular reflection
- D. Increased dispersion
Correct answer: A
Rationale: The critical angle is the minimum angle of incidence at which light is totally internally reflected rather than refracted. When light travels from a denser medium to a rarer medium at an angle greater than the critical angle, it undergoes total internal reflection. This phenomenon is crucial in applications like fiber optics and mirages. Continued refraction (option B) occurs when light enters a medium at an angle less than the critical angle. Specular reflection (option C) refers to the reflection of light at a smooth surface. Increased dispersion (option D) involves the separation of light into its constituent colors due to varying refractive indices, which is not directly related to the critical angle. Therefore, the correct answer is A - total internal reflection.
3. Imagine you have an element with atomic number 20 and mass number 40. How many neutrons does it have?
- A. 20
- B. 40
- C. 10
- D. 20
Correct answer: C
Rationale: Rationale: - The atomic number (Z) represents the number of protons in an atom. In this case, the atomic number is 20. - The mass number (A) represents the total number of protons and neutrons in an atom. In this case, the mass number is 40. - To find the number of neutrons, you subtract the atomic number from the mass number: Neutrons = Mass number - Atomic number. - Neutrons = 40 - 20 = 20. - Therefore, the element with atomic number 20 and mass number 40 has 20 neutrons.
4. Following a successful heart transplant surgery, the patient's body will need to take medications to:
- A. Suppress the immune system and prevent rejection of the new heart.
- B. Reduce overall blood pressure.
- C. Dissolve any remaining blood clots.
- D. Stimulate the growth of new heart tissue.
Correct answer: A
Rationale: The correct answer is A: 'Suppress the immune system and prevent rejection of the new heart.' After a heart transplant surgery, the body's immune system may recognize the new heart as a foreign object and try to attack it, leading to rejection. To prevent this, patients need to take medications that suppress the immune system, helping the body accept the new heart. These medications are crucial to ensure the success and longevity of the transplanted organ by reducing the risk of rejection. Options B, C, and D are not directly related to the post-heart transplant medication regimen and do not address the primary concern of preventing rejection.
5. During which phase of the cardiac cycle do the atria contract, pushing blood into the ventricles?
- A. Atrial diastole
- B. Ventricular systole
- C. Atrial systole
- D. Ventricular diastole
Correct answer: C
Rationale: The correct answer is C: Atrial systole. During the cardiac cycle, the atria contract during atrial systole, pushing blood into the ventricles. This phase occurs after atrial diastole when the atria fill with blood. Ventricular diastole (option D) is when the ventricles relax and fill with blood, preparing for ventricular systole (option B), which is when the ventricles contract to pump blood out of the heart. Atrial systole is crucial for ensuring efficient filling of the ventricles before they contract, making it a key phase in the cardiac cycle.
6. What term describes the point where parallel rays of light converge or appear to diverge from after passing through a lens or reflecting off a mirror?
- A. Aperture
- B. Focal length
- C. Refractive index
- D. Lens thickness
Correct answer: B
Rationale: The focal length is the term that describes the point where parallel rays of light converge or appear to diverge from after passing through a lens or reflecting off a mirror. It is a crucial parameter in optics and is used to determine the magnification and image formation in optical systems. The other options (A) Aperture, (C) Refractive index, and (D) Lens thickness are not directly related to the point where parallel rays of light converge or appear to diverge.
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