HESI A2
HESI A2 Math
1. A water fountain has a spherical base with a diameter of 50cm and a cylindrical body with a diameter of 30cm and a height of 80cm. What is the total surface area of the fountain (excluding the water surface)?
- A. 3142 sq cm
- B. 4712 sq cm
- C. 5486 sq cm
- D. 7957 sq cm
Correct answer: C
Rationale: To find the total surface area of the fountain, we first calculate the surface area of the sphere and the cylinder separately. For the sphere: - Radius = Diameter / 2 = 50 / 2 = 25 cm - Surface area of a sphere = 4πr² = 4 x π x 25² = 500π cm² For the cylinder: - Radius = Diameter / 2 = 30 / 2 = 15 cm - Surface area of a cylinder = 2πrh + 2πr² = 2 x π x 15 x 80 + 2 x π x 15² = 240π + 450π = 690π cm² Total surface area = Surface area of sphere + Surface area of cylinder = 500π + 690π = 1190π cm² ≈ 5486 sq cm. Therefore, the correct answer is C. Choice A (3142 sq cm) is incorrect as it is much smaller than the correct answer. Choices B and D are also incorrect as they do not reflect the accurate calculation of the total surface area of the fountain.
2. What does the passage about the Water Cycle explain?
- A. The water cycle consists of precipitation, evaporation, and condensation.
- B. The water cycle is a continuous process of recycling water on Earth.
- C. Rain is the most important part of the water cycle.
- D. Evaporation is the final step in the water cycle.
Correct answer: A
Rationale: The correct answer is A: 'The water cycle consists of precipitation, evaporation, and condensation.' The passage explains the stages of the water cycle, starting with precipitation (rain, snow, sleet, or hail) falling to the ground, followed by runoff, evaporation transforming liquid water into water vapor, and finally condensation turning water vapor back into liquid. Choice B is incorrect because it is too broad and doesn't specifically address the stages of the water cycle. Choice C is incorrect as rain is just one part of the water cycle and not the most important. Choice D is incorrect as evaporation is not the final step but one of the stages of the water cycle.
3. Use the VERB correctly.
- A. A pitchfork and a halter were left on the concrete floor.
- B. There is a pig, sheep, and horse in the red trailer.
- C. Here are the cages for the 2 rabbits and 2 chickens.
- D. Sherri and her cousin were at the County fair this year.
Correct answer: D
Rationale: Choice D, 'Sherri and her cousin were at the County fair this year,' is the correct answer. 'Sherri and her cousin' is a compound subject, requiring the plural verb 'were' for proper subject-verb agreement. Choices A, B, and C contain subject-verb agreement errors. In Choice A, 'A pitchfork and a halter' is a compound subject and should be followed by the plural verb 'were.' In Choice B, 'a pig, sheep, and horse' is a list of items that should take the plural verb 'are.' Lastly, in Choice C, 'Here are' should be used instead of 'Here is' to match the plural subject 'the cages for the 2 rabbits and 2 chickens.'
4. Which part of the brain is involved in processing visual information?
- A. Frontal lobe
- B. Parietal lobe
- C. Occipital lobe
- D. Temporal lobe
Correct answer: C
Rationale: The occipital lobe, located at the back of the brain, is primarily responsible for processing visual information received from the eyes. It plays a crucial role in interpreting and making sense of the visual stimuli perceived by the eyes, such as shapes, colors, and movement. This region is essential for visual perception and is specialized for processing and analyzing visual input, making it the correct answer. The frontal lobe is primarily involved in higher cognitive functions like decision-making and problem-solving, not visual processing. The parietal lobe is more related to sensory processes and spatial awareness, while the temporal lobe is primarily involved in processing auditory information and memory, not visual processing.
5. If Bill has 5.5 vacation days left for the rest of the year and 3.25 sick days left, how many days will he have off work if he uses all of this time?
- A. 8.75
- B. 7.75
- C. 9
- D. 6.75
Correct answer: A
Rationale: To calculate the total days off, you need to sum up the remaining vacation days and sick days. 5.5 vacation days + 3.25 sick days = 8.75 days off. Therefore, the correct answer is A. Choice B (7.75) is incorrect because it doesn't account for all available days off. Choice C (9) is incorrect as it overestimates the total days off. Choice D (6.75) is incorrect as it underestimates the total days off.
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