ATI TEAS 7
Mathematics
1. A bookshelf has triangular shelves with a base of 40cm and a height of 30cm. The depth of the shelf is 25cm. What is the volume of each shelf?
- A. 3000 cu cm
- B. 3750 cu cm
- C. 5000 cu cm
- D. 7500 cu cm
Correct answer: B
Rationale: Calculate the area of the triangle (1/2 * base * height) and multiply by the depth.
2. What is the acceleration of an object moving at a constant speed of 20 m/s if it comes to a complete stop within 5 seconds?
- A. 0 m/s² (no acceleration)
- B. 4 m/s²
- C. -4 m/s²
- D. Information insufficient
Correct answer: C
Rationale: The acceleration can be calculated using the formula: acceleration = (final velocity - initial velocity) / time. In this case, the final velocity is 0 m/s (as the object comes to a complete stop), the initial velocity is 20 m/s, and the time taken is 5 seconds. Plugging these values into the formula, we get acceleration = (0 m/s - 20 m/s) / 5 s = -20 m/s / 5 s = -4 m/s². Therefore, the acceleration is -4 m/s².
3. When sodium hydroxide (NaOH) reacts with hydrochloric acid (HCl), the resulting product is:
- A. Hydrogen gas and sodium chloride (NaCl)
- B. Chlorine gas and sodium oxide (Na2O)
- C. Sodium metal (Na) and water (H2O)
- D. No reaction occurs.
Correct answer: A
Rationale: This is a classic neutralization reaction, forming water and a salt (sodium chloride).
4. Fluorescent microscopy utilizes which property of certain molecules to create a visible image?
- A. Staining properties
- B. Light absorption
- C. Fluorescence emission
- D. Refraction
Correct answer: C
Rationale: Rationale: Fluorescent microscopy relies on the property of certain molecules to fluoresce when exposed to specific wavelengths of light. When these molecules absorb light energy, they become excited and then emit light at a longer wavelength, producing a visible image. This emitted light is what is used to create the image in fluorescent microscopy, making option C, fluorescence emission, the correct answer. Staining properties (option A) are used to enhance contrast in microscopy but are not the primary mechanism in fluorescent microscopy. Light absorption (option B) is involved in the excitation of fluorescent molecules but is not the property used to create the visible image. Refraction (option D) is the bending of light as it passes through different mediums and is not the property utilized in fluorescent microscopy.
5. A light ray travels from air (refractive index 1.00) into water (refractive index 1.33). What happens to its speed and direction?
- A. Speed increases, direction bends towards the normal.
- B. Speed increases, direction bends away from the normal.
- C. Speed decreases, direction bends towards the normal.
- D. Speed and direction remain unchanged.
Correct answer: A
Rationale: Due to the change in refractive index, the light ray bends towards the normal (water) as it slows down upon entering the denser medium.
6. What property of a wave determines its pitch in sound waves?
- A. Amplitude
- B. Frequency
- C. Wavelength
- D. Speed
Correct answer: B
Rationale: The pitch of a sound wave is determined by its frequency. Frequency refers to the number of cycles of a wave that occur in a given time period. Higher frequencies correspond to higher pitches, while lower frequencies correspond to lower pitches. Amplitude refers to the intensity or loudness of a sound wave, wavelength is the distance between two consecutive points in a wave, and speed is the rate at which a wave travels through a medium.
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