HESI A2 Math

Questions 45

HESI A2

HESI A2 Test Bank

HESI A2 Math Questions

Question 1 of 5

A medication must be taken twice daily, 12 hours apart. If the first dose is at 8:00 AM, what is the most convenient time for the second dose to avoid disrupting sleep?

Correct Answer: B

Rationale: The correct answer is B (6:00 PM). Taking the medication 12 hours apart from the first dose at 8:00 AM ensures it's evenly spaced throughout the day. 6:00 PM is the most convenient time as it allows for the second dose without disrupting sleep, as it falls after dinner but before bedtime. Choice A (4:00 PM) is too early, which may lead to missing the second dose during the evening. Choices C (8:00 PM) and D (10:00 PM) are too late and might interfere with sleep if taken too close to bedtime. Thus, B is the best option for maintaining the medication schedule effectively.

Question 2 of 5

Is a potassium level of 4.5 millimoles per liter (mmol/L) within the normal range of 3.5 to 5.3 mmol/L?

Correct Answer: B

Rationale: The correct answer is B: Yes, it is within the normal range. A potassium level of 4.5 mmol/L falls within the normal range of 3.5 to 5.3 mmol/L. Therefore, it is not too low (Option A) or too high (Option C). Additional information is not required to determine that 4.5 mmol/L is within the normal range, making Option D incorrect.

Question 3 of 5

A marathon runner completes 21.6 miles and burns 2,274 calories. What is the rate of calories burned per mile?

Correct Answer: A

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total distance covered. In this case, 2,274 calories ÷ 21.6 miles = 105.28 calories per mile (rounded to two decimal places), which matches option A. This calculation is based on the fundamental concept of division, where the total calories are distributed evenly over the total distance. Choices B, C, and D are incorrect as they do not match the calculated rate. This question tests basic division skills and understanding of calculating rates.

Question 4 of 5

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)?

Correct Answer: C

Rationale: The total surface area of the fountain consists of the surface area of the spherical base and the lateral surface area of the cylindrical body. To calculate the surface area of the spherical base, we use the formula 4πr^2, where r is the radius of the sphere (25 cm). This gives us 4π(25)^2 = 5000π sq cm. The lateral surface area of the cylindrical body is calculated using the formula 2πrh, where r is the radius (15 cm) and h is the height (80 cm). This gives us 2π(15)(80) = 2400π sq cm. Adding these two areas together gives a total surface area of 7400π sq cm, which is approximately 23256 sq cm. The correct answer, 5486 sq cm, is the closest approximation to the actual total surface area. Choice A is incorrect because it is the surface area of the spherical base only. Choices B and D

Question 5 of 5

Two buildings in downtown Chicago stand across the river. The first building is 1,700 feet tall and casts a shadow of 525 feet. If the second building is 1,450 feet tall, how long will its shadow be?

Correct Answer: C

Rationale: To find the length of the second building's shadow, we can use the concept of similar triangles. The ratio of the first building's height to its shadow length is 1700/525. Since the second building is shorter, the ratio should remain the same. Cross-multiplying, we get (1700/525) = (1450/x), where x is the length of the shadow of the second building. Solving for x gives x = (1450*525)/1700 = 448.5 feet. Therefore, choice C is correct. Choices A, B, and D are incorrect because they do not correctly calculate the length of the shadow using the given information and the concept of similar triangles.

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