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Exam (elaborations)

HESI RN Dosage Calculations – Essential Math Practice for Nursing Exam Success

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This document offers essential math practice specifically designed for the HESI RN Dosage Calculations section. It includes step-by-step solutions for common calculation types such as oral and IV dosages, weight-based dosing, and drip rates. Perfect for nursing students aiming to strengthen their calculation skills and boost their confidence before the HESI RN exam.

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Uploaded on
May 10, 2025
Number of pages
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Written in
2024/2025
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Hesi RN dosage calculation d441
Question 1:
A client is receiving a secondary infusion of vancomycin 1,500 mg in 250 ml to be
infused over two hours. The intravenous (IV) administration set delivers 15 gtt/ml. How
many gtt/min should the nurse regulate the infusion? (Enter numerical value only. If
sounding is required, round to the nearest whole number.)

Explanation

Correct Answer (gtt/min) : 31

Solution

Given Information:

Vancomycin dose: 1,500 mg

Volume: 250 mL

Infusion time: 2 hours

Drop factor: 15 gtt/mL



Calculate the total infusion time in minutes

2 hours x 60 min/hour = 120 minutes



Calculate the total volume to be infused

250 mL



Calculate the infusion rate in mL/min

Infusion rate = Total volume / Infusion time

Infusion rate = 250 mL / 120 min = 2.08 mL/min

,Calculate the gtt/min

gtt/min = Infusion rate (mL/min) x Drop factor (gtt/mL)

gtt/min = 2.08 mL/min x 15 gtt/mL = 31.2 gtt/min

Round to the nearest whole number (as instructed)

gtt/min = 31 gtt/min



Question 2:
A client with deep vein thrombosis (DVT) is receiving a continuous IV infusion of heparin
sodium 20,000 units in 5% dextrose Injection 500 ml at the rate of 25 mL/hour. How many
units of heparin should the client receive in 12 hours? (Enter numeric value only.)

Explanation

Correct Answer (units) : 12000

Solution

Given Information:

Heparin dose: 20,000 units

Volume: 500 mL

Infusion rate: 25 mL/hour

Time: 12 hours



Calculate the total volume infused in 12 hours

Total volume = Infusion rate x Time

Total volume = 25 mL/hour x 12 hours = 300 mL



Calculate the proportion of heparin infused in 12 hours

Proportion = Total volume infused / Total volume

,Proportion = 300 mL / 500 mL = 0.6



Calculate the units of heparin infused in 12 hours

Units of heparin = Total heparin units x Proportion

Units of heparin = 20,000 units x 0.6 = 12,000 units



Question 3:
The healthcare provider prescribes interferon bela-1b 0.0625 mg SUBO every other day
for a client with multiple sclerosis. The nurse reconstitutes the single-use vial of powder
labeled, "0.3 mg with 2 mL of sterile water. How many mil should the nurse administer to
the client? (Enter the numerical value only. If rounding is required, sound to the nearest
hundredth.)

planation

Correct Answer (mL) : 0.25

Solution

Given Information:

Prescribed dose: 0.0625 mg

Powder in vial: 0.3 mg

Volume of diluent: 1.2 mL



Calculate the concentration of the reconstituted solution

Concentration = Powder in vial / Volume of diluent

Concentration = 0.3 mg / 1.2 mL = 0.25 mg/mL



Calculate the volume of the reconstituted solution to be administered

Volume to be administered = Prescribed dose / Concentration

, Volume to be administered = 0.0625 mg / 0.25 mg/mL = 0.25 mL



Question 4:
The healthcare provider prescribes a liter of normal saline IV to be infused over 9 hours
for a client who is NPO. The nurse should program the infusion pump to deliver how
many mL/hour? (Enter numeric value only. If rounding is required, round to the nearest
whole number).

Explanation

Correct Answer (mL/hour) : 111

Solution

Given Information:

Volume: 1 liter

Time: 9 hours



Convert liters to milliliters

1 liter = 1000 mL



Calculate the infusion rate

Infusion rate = Volume / Time

Infusion rate = 1000 mL / 9 hours = 111.11 mL/hour



Round to the nearest whole number (as instructed)

Infusion rate = 111 mL/hour



Question 5:

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