HESI A2
HESI A2 Practice Test Math
1. A birdbath has a hemispherical bowl with a diameter of 30cm. What is its volume?
- A. 675 cu cm
- B. 1350 cu cm
- C. 2700 cu cm
- D. 4050 cu cm
Correct answer: C
Rationale: To find the volume of a hemispherical bowl, we use half the formula for a sphere's volume: (2/3) * π * (radius)^3. Given the diameter is 30cm, the radius is half of that, which is 15cm. Substitute the radius into the formula: (2/3) * π * (15cm)^3 ≈ 2700 cu cm. Therefore, the correct volume is approximately 2700 cu cm. Choices A, B, and D are incorrect as they do not correctly calculate the volume of the hemispherical bowl.
2. Which is not listed as an example of a low-impact sport?
- A. Martial arts
- B. Basketball
- C. Yoga
- D. Weight lifting
Correct answer: B
Rationale: Basketball is not listed as a low-impact sport in the extract provided; the others (martial arts, yoga, and weight lifting) are considered low-impact activities. The extract mentions that students can participate in low-impact sports like yoga, martial arts, and weight lifting in modern PE classes, emphasizing their benefits and the focus on general skills. Basketball, on the other hand, is not included in the list of low-impact sports mentioned in the extract, making it the correct answer. This demonstrates the importance of understanding the difference between high-impact and low-impact sports for maintaining fitness and health.
3. What does 'depress' mean?
- A. To push forward
- B. To press downward
- C. To remove
- D. To elevate
Correct answer: B
Rationale: The correct definition of 'depress' is to press downward. This term is commonly used to describe pushing something downward or making something lower in position or level. Choice A, 'To push forward,' is incorrect as 'depress' does not involve moving something forward. Choice C, 'To remove,' is incorrect as 'depress' does not entail taking something away. Choice D, 'To elevate,' is incorrect as it is the opposite of what 'depress' means.
4. What is stated in the passage?
- A. Physical illness can cause insomnia.
- B. Exercise causes insomnia.
- C. There is no solution to insomnia.
- D. Sleep is unnecessary for good health.
Correct answer: A
Rationale: The correct answer is A: 'Physical illness can cause insomnia.' The passage mentions that chronic insomnia can result from a medical illness, among other conditions. This indicates a direct link between physical illness and insomnia. Choice B is incorrect as the passage does not mention exercise causing insomnia but actually suggests developing good sleep habits as a solution. Choice C is incorrect as the passage provides solutions to insomnia, such as sleep hygiene and non-pharmacological therapies. Choice D is incorrect as the passage emphasizes the importance of getting a good night's sleep for good health, implying that sleep is necessary.
5. A 25-cm spring stretches to 28 cm when a force of 12 N is applied. What would its length be if that force were doubled?
- A. 31 cm
- B. 40 cm
- C. 50 cm
- D. 56 cm
Correct answer: A
Rationale: When the 12 N force stretches the spring from 25 cm to 28 cm, it causes a length increase of 28 cm - 25 cm = 3 cm. Therefore, each newton of applied force causes an extension of 3 cm / 12 N = 0.25 cm/N. If the force is doubled to 24 N, the spring would extend by 24 N × 0.25 cm/N = 6 cm more than its original length of 25 cm. Thus, the new length of the spring would be 25 cm + 6 cm = 31 cm. Choice A, 31 cm, is the correct answer as calculated. Choices B, C, and D are incorrect as they do not consider the relationship between force and extension in the spring, leading to incorrect calculations of the new length.
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