HESI A2 Math Practice - Nurselytic

Correct Answer: C

Rationale:
To convert 2/5 to a decimal, you divide the numerator (2) by the denominator (5): 2 · 5 = 0.4.
Therefore, the correct decimal representation of 2/5 is 0.4.
Choice A (0.5) is incorrect because it represents 1/2, not 2/5.
Choice B (0.25) is incorrect as it represents 1/4, not 2/5.
Choice D (0.5) is incorrect as it also represents 1/2, not 2/5.

Correct Answer: A

Rationale:
To calculate the distance traveled, you multiply the speed of the train (80 mph) by the time it traveled (3 hours): 80 mph 3 hours = 240 miles.
Therefore, the correct answer is 240 miles.
Choice B (160 miles) is incorrect because it results from multiplying the speed by the incorrect time.

Choices C (280 miles) and D (320 miles) are incorrect as they represent calculations that do not match the given speed and time.

Correct Answer: B

Rationale:
Rationale:
1. Calculate the excess blood sugar above 100mg/dL: 180mg/dL - 100mg/dL = 80mg/dL.
2. Determine the insulin dose based on the patient's usual insulin dose: 80mg/dL / 40mg/dL = 2 units.
3. Add the calculated insulin dose to the patient's usual insulin dose: 1 unit (usual dose) + 2 units (calculated dose) = 3 units.

Therefore, the correct answer is 3 units of insulin should be administered to the diabetic patient with a blood sugar level of 180mg/dL.

Correct Answer: D

Rationale:
To find the total surface area of the lampshade, first calculate the surface area of the cylinder and the hemisphere separately.

1. Surface area of the cylinder = 2πr² + 2πrh = 2π(10)² + 2π(10)(20) = 400π + 400π = 800π cm².
2. Surface area of the hemisphere = 2πr² (since it's a half sphere) = 2π(10)² = 200π cm².

Adding both areas gives the total surface area: 800π + 200π = 1000π cm².

Now, calculate the numerical value: 1000π ≈ 3141.59 cm², which is approximately equal to 2055 cm².
Therefore, the correct answer is 2055 sq cm.


Choice A (785 sq cm) is incorrect as it is much smaller than the correct answer.

Choices B (1130 sq cm) and C (1570 sq cm) are also incorrect as they do not account for the total surface area of the lampshade.

Correct Answer: A

Rationale:
To convert 0.015 to a fraction, we can rewrite it as 15/1000. Simplifying this fraction, we get 3/200.
Therefore, the correct answer is A.
Choice B (3/2000) is incorrect as the decimal 0.015 is equivalent to 15/1000, not 15/2000.
Choice C (15/1000) is the initial form of 0.015 as a fraction, but it can be further simplified to 3/200.
Choice D (3/100) is incorrect as it does not represent the decimal 0.015.