ATI TEAS 7
Mathematics
1. A pressure vessel has a cylindrical body (diameter 10cm, height 20cm) with hemispherical ends (same diameter as the cylinder). What is its total surface area?
- A. 785 sq cm
- B. 1130 sq cm
- C. 1570 sq cm
- D. 2055 sq cm
Correct answer: D
Rationale: Calculate the surface area of the cylinder (base + lateral surface) and two hemispheres. Add them all up for the total surface area.
2. What property of a substance remains constant regardless of changes in gravity?
- A. Mass
- B. Weight
- C. Volume
- D. Density
Correct answer: A
Rationale: Mass is a measure of the amount of matter in an object and remains constant regardless of changes in gravity. Weight, on the other hand, is a measure of the gravitational force acting on an object and varies with changes in gravity. Volume is the amount of space occupied by an object and can change with changes in gravity. Density is the mass of a substance per unit volume and can also change with changes in gravity if the volume changes.
3. What property of a wave is measured in Hertz (Hz)?
- A. Amplitude
- B. Wavelength
- C. Speed
- D. Frequency
Correct answer: d
Rationale: Frequency, the number of oscillations per second, is measured in Hertz (Hz).
4. How many moles of oxygen are required to completely react with 5 moles of propane (C3H8) in the combustion reaction?
- A. 5 moles
- B. 10 moles
- C. 15 moles
- D. 20 moles
Correct answer: b
Rationale: The balanced equation is C3H8 + 5O2 → 3CO2 + 4H2O, indicating a 5:10 ratio between moles of oxygen and moles of propane.
5. A closed system in ecology is one that:
- A. Exchanges energy but not matter
- B. Exchanges both energy and matter
- C. Exchanges neither energy nor matter
- D. Recycles nutrients efficiently
Correct answer: A
Rationale: Rationale: In ecology, a closed system is one that does not exchange matter with its surroundings but can exchange energy. This means that while energy can enter or leave the system, the amount of matter within the system remains constant. This definition aligns with option A, making it the correct answer. Options B and C are incorrect because a closed system does not exchange matter, and option D is not directly related to the definition of a closed system in ecology.
6. What information can be obtained from the mass number of an element?
- A. The number of protons in the nucleus
- B. The total number of protons and neutrons
- C. The number of electrons in the valence shell
- D. The element's chemical reactivity
Correct answer: B
Rationale: The mass number of an element represents the total number of protons and neutrons in the nucleus. This information is crucial for determining the atomic mass of the element and understanding its stability and isotopes. The number of protons in the nucleus (option A) is represented by the atomic number, not the mass number. The number of electrons in the valence shell (option C) is related to the element's position in the periodic table and its chemical properties, but it is not directly determined by the mass number. The element's chemical reactivity (option D) is influenced by the number and arrangement of electrons in the atom's energy levels, not by the mass number.
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