ATI TEAS 7
Mathematics
1. A birthday party hat has a cone-shaped top with a radius of 5cm and a height of 12cm. What is its volume?
- A. 60 cu cm
- B. 120 cu cm
- C. 150 cu cm
- D. 180 cu cm
Correct answer: C
Rationale: Use the formula for volume of a cone: (1/3) * À * (radius)^2 * height. Substitute the values: (1/3) * À * (5cm)^2 * 12cm ≈ 150 cu cm.
2. Which of the following factors would NOT affect the solubility of a solid solute in a liquid solvent?
- A. Temperature
- B. Pressure
- C. Particle size
- D. Nature of the solute and solvent
Correct answer: b
Rationale: Pressure does not significantly affect the solubility of solid solutes in liquid solvents. The other choices are factors that can influence solubility.
3. Which division of the autonomic nervous system is responsible for the "rest and digest" response, promoting relaxation and conservation of energy?
- A. Sympathetic nervous system
- B. Parasympathetic nervous system
- C. Somatic nervous system
- D. Central nervous system
Correct answer: b
Rationale: The correct answer is B, the parasympathetic nervous system. This division of the autonomic nervous system is responsible for the "rest and digest" response, promoting relaxation and conservation of energy. When activated, it slows the heart rate, increases digestion, and helps the body rest and recover. The sympathetic nervous system, on the other hand, is responsible for the "fight or flight" response, preparing the body for action. The somatic nervous system controls voluntary movements, and the central nervous system consists of the brain and spinal cord, coordinating all nervous system functions.
4. What is the net ionic equation for the reaction: 2HCl(aq) + Ba(OH)2(aq) → 2H2O(l) + BaCl2(aq)?
- A. 2H+(aq) + 2OH-(aq) → 2H2O(l)
- B. 2HCl(aq) + Ba(OH)2(aq) → BaCl2(aq) + 2H2O(l)
- C. 2H+(aq) + Ba2+(aq) → Ba2+(aq) + 2H+(aq)
- D. Ba(OH)2(aq) + HCl(aq) → BaCl2(aq) + 2H2O(l)
Correct answer: a
Rationale: The net ionic equation includes only the species that undergo a change during the reaction.
5. What is the name of the radioactive isotope commonly used in medical imaging techniques like PET scans?
- A. Uranium-235
- B. Plutonium-239
- C. Potassium-40
- D. Fluorine-18
Correct answer: D
Rationale: Fluorine-18 is the radioactive isotope commonly used in medical imaging techniques like PET scans. It is often used in the form of fluorodeoxyglucose (FDG) to detect areas of increased metabolic activity in the body, such as in cancer cells. Uranium-235 and Plutonium-239 are not typically used in medical imaging, and Potassium-40 is a naturally occurring radioactive isotope found in the human body but is not commonly used in medical imaging techniques.
6. Which property of a substance remains constant regardless of changes in its shape or size?
- A. Mass
- B. Weight
- C. Volume
- D. Density
Correct answer: a
Rationale: Mass is the measure of the amount of matter in an object and remains constant regardless of changes in its shape or size.
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