Calculations Exam
(2024/2025)
,Instructions: Enter numeric values only. Round answers as instructed. Use the formula
H:V=D:xH : V = D : xH:V=D:x where applicable.
QUESTION 1
A patient with hypertension who weighs 72 kg is receiving an infusion of nitroprusside (Nipride)
50 mg in 250 mL D5W. The infusion is to run over 8 hours. How many mL/hour should the nurse
set the infusion pump to deliver?
Answer:
Using the formula volume/time:
250 mL8 hours=31.25≈31 mL/hour\frac{250 \text{ mL}}{8 \text{ hours}} = 31.25 \approx 31
\text{ mL/hour}8 hours250 mL=31.25≈31 mL/hour
QUESTION 2
A patient weighing 220 lb is receiving dopamine at 3 mcg/kg/min. The available solution is
dopamine 400 mg in 250 mL D5W. Calculate the infusion rate in mL/hour.
Answer:
Convert pounds to kg:
220÷2.2=100 kg220 \div 2.2 = 100 \text{ kg}220÷2.2=100 kg
Calculate dose per minute:
3×100=300 mcg/min3 \times 100 = 300 \text{ mcg/min}3×100=300 mcg/min
Convert to mcg/hour:
300×60=18,000 mcg/hour300 \times 60 = 18,000 \text{ mcg/hour}300×60=18,000 mcg/hour
Convert mcg to mg:
18,000÷1000=18 mg/hour18,000 \div 1000 = 18 \text{ mg/hour}18,000÷1000=18 mg/hour
Calculate rate:
400 mg250 mL=18 mgx mL⇒400x=18×250=4500⇒x=4500400=11.25≈11.3 mL/hour\frac{400
\text{ mg}}{250 \text{ mL}} = \frac{18 \text{ mg}}{x \text{ mL}} \Rightarrow 400x = 18 \times 250
= 4500 \Rightarrow x = \frac{4500}{400} = 11.25 \approx 11.3 \text{
mL/hour}250 mL400 mg=x mL18 mg⇒400x=18×250=4500⇒x=4004500=11.25≈11.3 mL/hour
QUESTION 3
The healthcare provider prescribes a continuous intravenous infusion of dextrose 5% and 0.9%
sodium chloride with KCl 20 mEq/1000 mL to be delivered over 8 hours. How many mL/hour
,should the nurse set the pump?
Answer:
1000 mL8 hours=125 mL/hour\frac{1000 \text{ mL}}{8 \text{ hours}} = 125 \text{
mL/hour}8 hours1000 mL=125 mL/hour
QUESTION 4
A patient with a sinus infection is prescribed amoxicillin/clavulanate potassium (Augmentin) 500
mg PO every 8 hours. The available tablets contain 250 mg amoxicillin/125 mg clavulanate. How
many tablets should be administered per dose?
Answer:
500 mg250 mg×1=2 tablets\frac{500 \text{ mg}}{250 \text{ mg}} \times 1 = 2 \text{
tablets}250 mg500 mg×1=2 tablets
QUESTION 5
A patient is prescribed metformin (Glucophage) 1 gram PO twice daily. The tablets available are
500 mg each. How many tablets should be given per dose?
Answer:
1000 mg500 mg=2 tablets\frac{1000 \text{ mg}}{500 \text{ mg}} = 2 \text{
tablets}500 mg1000 mg=2 tablets
QUESTION 6
Calculate the volume to administer if the order is 150 mg of medication and the supply is 50 mg
per 5 mL.
Answer:
50 mg5 mL=150 mgx mL⇒50x=150×5=750⇒x=75050=15 mL\frac{50 \text{ mg}}{5 \text{ mL}} =
\frac{150 \text{ mg}}{x \text{ mL}} \Rightarrow 50x = 150 \times 5 = 750 \Rightarrow x =
\frac{750}{50} = 15 \text{ mL}5 mL50 mg=x mL150 mg⇒50x=150×5=750⇒x=50750=15 mL
QUESTION 7
A patient is prescribed 0.125 mg digoxin daily. Tablets available are 0.25 mg each. How many
tablets should be given?
Answer:
0.125 mg0.25 mg=0.5 tablet\frac{0.125 \text{ mg}}{0.25 \text{ mg}} = 0.5 \text{
tablet}0.25 mg0.125 mg=0.5 tablet
QUESTION 8
An IV infusion of 1200 mL is to run over 6 hours. What is the flow rate in mL/hour?
Answer:
, 1200 mL6 hours=200 mL/hour\frac{1200 \text{ mL}}{6 \text{ hours}} = 200 \text{
mL/hour}6 hours1200 mL=200 mL/hour
QUESTION 9
A patient is prescribed morphine sulfate 0.3 mg. The vial concentration is 4 mg/mL. How many
mL should be administered?
Answer:
4 mg1 mL=0.3 mgx mL⇒4x=0.3⇒x=0.34=0.075 mL\frac{4 \text{ mg}}{1 \text{ mL}} = \frac{0.3
\text{ mg}}{x \text{ mL}} \Rightarrow 4x = 0.3 \Rightarrow x = \frac{0.3}{4} = 0.075 \text{
mL}1 mL4 mg=x mL0.3 mg⇒4x=0.3⇒x=40.3=0.075 mL
QUESTION 10
A patient is prescribed 2 mg/kg of a drug. The patient weighs 70 kg. What is the total dose?
Answer:
2×70=140 mg2 \times 70 = 140 \text{ mg}2×70=140 mg
QUESTION 11
A patient with hypertension who weighs 72 kg is receiving an infusion of nitroprusside (Nipride)
50 mg in 250 mL D5W at 75 mL/hour. How many mcg/kg/min is the patient receiving?
Answer:
Calculate mg/hour:
50 mg250 mL=X mg75 mL⇒250X=3750⇒X=15 mg/hour\frac{50 \text{ mg}}{250 \text{ mL}} =
\frac{X \text{ mg}}{75 \text{ mL}} \Rightarrow 250X = 3750 \Rightarrow X = 15 \text{
mg/hour}250 mL50 mg=75 mLX mg⇒250X=3750⇒X=15 mg/hour
Convert mg/hour to mcg/hour:
15 mg/hour=15,000 mcg/hour15 \text{ mg/hour} = 15,000 \text{
mcg/hour}15 mg/hour=15,000 mcg/hour
Convert mcg/hour to mcg/min:
15,00060=250 mcg/min\frac{15,000}{60} = 250 \text{ mcg/min}6015,000=250 mcg/min
Calculate mcg/kg/min:
25072≈3.47≈3.5 mcg/kg/min\frac{250}{72} \approx 3.47 \approx 3.5 \text{
mcg/kg/min}72250≈3.47≈3.5 mcg/kg/min
QUESTION 12
A patient receives a prescription for an intravenous infusion of 0.9% sodium chloride 500 mL to
be infused over 6 hours. How many mL/hour should the nurse program the infusion pump to