MATH QUESTIONS WITH CORRECT
ANSWERS 2025-2026
A client is to receive cimetidine (Tagamet) 300 mg q6h IVPB. The preparation arrives from
the pharmacy diluted in 50 ml of 0.9% NaCl. The nurse plans to administer the IVPB dose
over 20 minutes. For how many ml/hr should the infusion pump be set to deliver the
secondary infusion? - CORRECT ANSWER s The infusion rate is calculated as a ratio
proportion problem, i.e., 50 ml/ 20 min : x ml/ 60 min. Multiply extremes and means 50 × 60
/20x 1= 300/20=150
CORRECT ANSWER : 150
The nurse mixes 50 mg of Nipride in 250 ml of D5W and plans to administer the solution at a
rate of 5 mcg/kg/min to a client weighing 182 pounds. Using a drip factor of 60 gtt/ml, how
many drops per minute should the client receive?
A. 31 gtt/min.
B. 62 gtt/min.
C. 93 gtt/min.
D. 124 gtt/min. - CORRECT ANSWER s (D) is the correct calculation: Convert lbs to kg:
182/2.2 = 82.73 kg. Determine the dosage for this client: 5 mcg × 82.73 = 413.65 mcg/min.
Determine how many mcg are contained in 1 ml: 250/50,000 mcg = 200 mcg per ml. The
client is to receive 413.65 mcg/min, and there are 200 mcg/ml; so the client is to receive
2.07ml per minute. With a drip factor of 60 gtt/ml, then 60 × 2.07 = 124.28 gtt/min (D) OR,
using dimensional analysis: gtt/min = 60 gtt/ml X 250 ml/50 mg X 1 mg/1,000 mcg X 5
mcg/kg/min X 1 kg/2.2 lbs X 182 lbs.
CORRECT ANSWER : D
A client is to receive 10 mEq of KCl diluted in 250 ml of normal saline over 4 hours. At what
rate should the nurse set the client's intravenous infusion pump?
A. 13 ml/hour.
B. 63 ml/hour.
C. 80 ml/hour.
D. 125 ml/hour. - CORRECT ANSWER s (B) is the correct calculation: To calculate this
problem correctly, remember that the dose of KCl is not used in the calculation. 250 ml/4
hours = 63 ml/hour.
CORRECT ANSWER : B