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RN Advanced Math Assessment A65 | Exam Practice
Questions And Correct Answers (Verified Answers) Plus
Rationale 2026 Q&A | Instant Download Pdf
1. A nurse is preparing to administer heparin 25,000 units in 500 mL of
D5W to infuse at 1,800 units/hr. How many mL/hr should the nurse set
the IV pump?
A. 20 mL/hr
B. 28 mL/hr
C. 36 mL/hr
D. 44 mL/hr
Correct Answer: C
*Rationale: (Desired dose / Available concentration) = (1,800 units/hr) /
(25,000 units / 500 mL) = 1,800 ÷ 50 = 36 mL/hr. Step-by-step: 25,000 units /
500 mL = 50 units/mL. Then 1,800 units/hr ÷ 50 units/mL = 36 mL/hr.*
2. A provider orders dopamine 5 mcg/kg/min IV for a client weighing 176
lb. The pharmacy sends dopamine 400 mg in 250 mL D5W. What is the
infusion rate in mL/hr? (Round to nearest whole number)
A. 10 mL/hr
B. 15 mL/hr
C. 18 mL/hr
D. 22 mL/hr
Correct Answer: C
*Rationale: Convert weight: 176 lb ÷ 2.2 = 80 kg. Dose = 5 mcg/kg/min × 80 kg
= 400 mcg/min = 0.4 mg/min = 24 mg/hr. Available: 400 mg/250 mL = 1.6
mg/mL. 24 mg/hr ÷ 1.6 mg/mL = 15 mL/hr.*
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*Correction: 400 mcg/min = 0.4 mg/min × 60 = 24 mg/hr. 24 mg/hr ÷ (400
mg/250 mL = 1.6 mg/mL) = 15 mL/hr. Wait — the math gives 15, but let me re-
check carefully:*
*Re-calculation: 400 mg in 250 mL = 1.6 mg/mL. Required: 5 mcg/kg/min × 80
kg = 400 mcg/min = 0.4 mg/min × 60 min = 24 mg/hr. 24 ÷ 1.6 = 15 mL/hr.
Answer is 15 mL/hr, which is not 18. The Correct Answer should be B. 15
mL/hr.*
3. A nurse is administering a medication with a half-life of 4 hours. The
client receives an IV bolus of 200 mg at 0800. How much remains at
2000?
A. 100 mg
B. 50 mg
C. 25 mg
D. 12.5 mg
Correct Answer: C
*Rationale: Half-life = 4 hours. From 0800 to 2000 = 12 hours = 3 half-lives.
200 mg → 100 mg (1st) → 50 mg (2nd) → 25 mg (3rd).*
4. A client weighs 220 lb. The provider orders IV heparin bolus of 80
units/kg followed by infusion at 18 units/kg/hr. How many units for the
bolus?
A. 6,400 units
B. 8,000 units
C. 9,600 units
D. 12,000 units
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Correct Answer: B
*Rationale: Weight in kg = 220 lb ÷ 2.2 = 100 kg. Bolus dose = 80 units/kg ×
100 kg = 8,000 units.*
5. A nurse is preparing to administer cefazolin 500 mg IM. The pharmacy
sends a vial with 1 g of powder and instructs to add 2.5 mL of sterile
water to yield 330 mg/mL. How many mL should the nurse administer?
A. 1.2 mL
B. 1.5 mL
C. 2.0 mL
D. 2.5 mL
Correct Answer: B
*Rationale: Desired dose = 500 mg. Concentration = 330 mg/mL. Volume =
500 mg ÷ 330 mg/mL = 1.515 ≈ 1.5 mL.*
6. A continuous infusion of nitroglycerin is ordered at 10 mcg/min.
Available is nitroglycerin 50 mg in 250 mL D5W. How many mL/hr should
the nurse set?
A. 3 mL/hr
B. 6 mL/hr
C. 9 mL/hr
D. 12 mL/hr
Correct Answer: A
*Rationale: 50 mg = 50,000 mcg. Concentration = 50,000 mcg / 250 mL = 200
mcg/mL. Required: 10 mcg/min × 60 min = 600 mcg/hr. 600 mcg/hr ÷ 200
mcg/mL = 3 mL/hr.*
7. A child weighing 66 lb has an order for amoxicillin 40 mg/kg/day
divided every 8 hours. The safe dose range is 20-40 mg/kg/day. The
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pharmacy sends 500 mg/5 mL suspension. How many mL per dose?
(Round to nearest tenth)
A. 2.0 mL
B. 3.0 mL
C. 4.0 mL
D. 5.0 mL
Correct Answer: C
*Rationale: Weight = 66 lb ÷ 2.2 = 30 kg. Daily dose = 40 mg/kg × 30 kg =
1,200 mg/day. Divided q8h = 1,200 ÷ 3 = 400 mg/dose. Concentration = 500
mg/5 mL = 100 mg/mL. Volume = 400 mg ÷ 100 mg/mL = 4 mL.*
8. A nurse is infusing packed red blood cells (PRBCs) for a client. The
unit contains 250 mL. The infusion should run over 2.5 hours. The blood
administration set delivers 10 gtt/mL. What is the flow rate in gtt/min?
(Round to nearest whole number)
A. 15 gtt/min
B. 17 gtt/min
C. 20 gtt/min
D. 25 gtt/min
Correct Answer: B
*Rationale: Total volume = 250 mL. Time = 2.5 hours = 150 minutes. Flow rate
(gtt/min) = (250 mL × 10 gtt/mL) ÷ 150 min = 2,500 ÷ 150 = 16.666 ≈ 17
gtt/min.*
9. A client with a continuous epidural infusion of bupivacaine 0.125% at 6
mL/hr. How many mg of bupivacaine does the client receive per hour?
(0.125% = 0.125 g/100 mL = 1.25 mg/mL)
A. 5.5 mg/hr
B. 7.5 mg/hr
RN Advanced Math Assessment A65 | Exam Practice
Questions And Correct Answers (Verified Answers) Plus
Rationale 2026 Q&A | Instant Download Pdf
1. A nurse is preparing to administer heparin 25,000 units in 500 mL of
D5W to infuse at 1,800 units/hr. How many mL/hr should the nurse set
the IV pump?
A. 20 mL/hr
B. 28 mL/hr
C. 36 mL/hr
D. 44 mL/hr
Correct Answer: C
*Rationale: (Desired dose / Available concentration) = (1,800 units/hr) /
(25,000 units / 500 mL) = 1,800 ÷ 50 = 36 mL/hr. Step-by-step: 25,000 units /
500 mL = 50 units/mL. Then 1,800 units/hr ÷ 50 units/mL = 36 mL/hr.*
2. A provider orders dopamine 5 mcg/kg/min IV for a client weighing 176
lb. The pharmacy sends dopamine 400 mg in 250 mL D5W. What is the
infusion rate in mL/hr? (Round to nearest whole number)
A. 10 mL/hr
B. 15 mL/hr
C. 18 mL/hr
D. 22 mL/hr
Correct Answer: C
*Rationale: Convert weight: 176 lb ÷ 2.2 = 80 kg. Dose = 5 mcg/kg/min × 80 kg
= 400 mcg/min = 0.4 mg/min = 24 mg/hr. Available: 400 mg/250 mL = 1.6
mg/mL. 24 mg/hr ÷ 1.6 mg/mL = 15 mL/hr.*
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*Correction: 400 mcg/min = 0.4 mg/min × 60 = 24 mg/hr. 24 mg/hr ÷ (400
mg/250 mL = 1.6 mg/mL) = 15 mL/hr. Wait — the math gives 15, but let me re-
check carefully:*
*Re-calculation: 400 mg in 250 mL = 1.6 mg/mL. Required: 5 mcg/kg/min × 80
kg = 400 mcg/min = 0.4 mg/min × 60 min = 24 mg/hr. 24 ÷ 1.6 = 15 mL/hr.
Answer is 15 mL/hr, which is not 18. The Correct Answer should be B. 15
mL/hr.*
3. A nurse is administering a medication with a half-life of 4 hours. The
client receives an IV bolus of 200 mg at 0800. How much remains at
2000?
A. 100 mg
B. 50 mg
C. 25 mg
D. 12.5 mg
Correct Answer: C
*Rationale: Half-life = 4 hours. From 0800 to 2000 = 12 hours = 3 half-lives.
200 mg → 100 mg (1st) → 50 mg (2nd) → 25 mg (3rd).*
4. A client weighs 220 lb. The provider orders IV heparin bolus of 80
units/kg followed by infusion at 18 units/kg/hr. How many units for the
bolus?
A. 6,400 units
B. 8,000 units
C. 9,600 units
D. 12,000 units
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Correct Answer: B
*Rationale: Weight in kg = 220 lb ÷ 2.2 = 100 kg. Bolus dose = 80 units/kg ×
100 kg = 8,000 units.*
5. A nurse is preparing to administer cefazolin 500 mg IM. The pharmacy
sends a vial with 1 g of powder and instructs to add 2.5 mL of sterile
water to yield 330 mg/mL. How many mL should the nurse administer?
A. 1.2 mL
B. 1.5 mL
C. 2.0 mL
D. 2.5 mL
Correct Answer: B
*Rationale: Desired dose = 500 mg. Concentration = 330 mg/mL. Volume =
500 mg ÷ 330 mg/mL = 1.515 ≈ 1.5 mL.*
6. A continuous infusion of nitroglycerin is ordered at 10 mcg/min.
Available is nitroglycerin 50 mg in 250 mL D5W. How many mL/hr should
the nurse set?
A. 3 mL/hr
B. 6 mL/hr
C. 9 mL/hr
D. 12 mL/hr
Correct Answer: A
*Rationale: 50 mg = 50,000 mcg. Concentration = 50,000 mcg / 250 mL = 200
mcg/mL. Required: 10 mcg/min × 60 min = 600 mcg/hr. 600 mcg/hr ÷ 200
mcg/mL = 3 mL/hr.*
7. A child weighing 66 lb has an order for amoxicillin 40 mg/kg/day
divided every 8 hours. The safe dose range is 20-40 mg/kg/day. The
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pharmacy sends 500 mg/5 mL suspension. How many mL per dose?
(Round to nearest tenth)
A. 2.0 mL
B. 3.0 mL
C. 4.0 mL
D. 5.0 mL
Correct Answer: C
*Rationale: Weight = 66 lb ÷ 2.2 = 30 kg. Daily dose = 40 mg/kg × 30 kg =
1,200 mg/day. Divided q8h = 1,200 ÷ 3 = 400 mg/dose. Concentration = 500
mg/5 mL = 100 mg/mL. Volume = 400 mg ÷ 100 mg/mL = 4 mL.*
8. A nurse is infusing packed red blood cells (PRBCs) for a client. The
unit contains 250 mL. The infusion should run over 2.5 hours. The blood
administration set delivers 10 gtt/mL. What is the flow rate in gtt/min?
(Round to nearest whole number)
A. 15 gtt/min
B. 17 gtt/min
C. 20 gtt/min
D. 25 gtt/min
Correct Answer: B
*Rationale: Total volume = 250 mL. Time = 2.5 hours = 150 minutes. Flow rate
(gtt/min) = (250 mL × 10 gtt/mL) ÷ 150 min = 2,500 ÷ 150 = 16.666 ≈ 17
gtt/min.*
9. A client with a continuous epidural infusion of bupivacaine 0.125% at 6
mL/hr. How many mg of bupivacaine does the client receive per hour?
(0.125% = 0.125 g/100 mL = 1.25 mg/mL)
A. 5.5 mg/hr
B. 7.5 mg/hr
