Relias RN Advanced Math
Ability Exam 2026-2027
Version 1 | Questions &
Verified Answers | Grade A |
Pass Guaranteed
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## PART A – MULTIPLE CHOICE (Q1‑20)
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* *Q1 (Oral tablets):** The physician orders 0.5 mg of digoxin. Available: 0.25 mg tablets. How
many tablets should the nurse administer?
) 0.25 tablet
A
B) 0.5 tablet
C) 1 tablet
D) 2 tablets
* *[CORRECT]** D (2 tablets)
*Rationale: The formula used is Desired ÷ Have = Number of tablets. 0.5 mg ÷ 0.25 mg/tablet =
2 tablets. Option B (0.5 tablet) would be incorrect because it confuses the ordered dose with the
number of tablets, forgetting to divide by the available strength.*
---
* *Q2 (Oral liquid):** Order: Amoxicillin 500 mg PO q8h. Available: Amoxicillin 250 mg/5 mL. How
many mL should the nurse administer?
) 5 mL
A
B) 7.5 mL
C) 10 mL
,D) 12.5 mL
* *[CORRECT]** C (10 mL)
*Rationale: Using ratio-proportion: 250 mg/5 mL = 500 mg/X mL; cross-multiply: 250X = 2500; X
= 10 mL. Option B (7.5 mL) would be wrong if the nurse incorrectly used 375 mg instead of 500
mg or miscalculated the proportion.*
---
* *Q3 (Injectable – IM):** Order: Morphine sulfate 8 mg IM q4h PRN pain. Available: Morphine
sulfate 10 mg/mL. How many mL should the nurse draw up?
) 0.6 mL
A
B) 0.8 mL
C) 1.0 mL
D) 1.2 mL
* *[CORRECT]** B (0.8 mL)
*Rationale: Desired ÷ Have × Vehicle = 8 mg ÷ 10 mg/mL = 0.8 mL. Option A (0.6 mL) would
result from incorrectly dividing 10 by 8 instead of 8 by 10, or confusing the concentration ratio.*
---
* *Q4 (Weight-based – pediatric):** Order: Acetaminophen 15 mg/kg PO q4h PRN fever for a
child weighing 22 lb. What is the safe single dose?
) 100 mg
A
B) 150 mg
C) 200 mg
D) 250 mg
* *[CORRECT]** B (150 mg)
*Rationale: First convert weight: 22 lb ÷ 2.2 lb/kg = 10 kg; then calculate: 15 mg/kg × 10 kg =
150 mg. Option C (200 mg) would be wrong if the nurse forgot to convert pounds to kilograms
and multiplied 15 × 22 directly.*
---
* *Q5 (IV flow rate – mL/hr):** Order: 1000 mL D5W to infuse over 8 hours. Calculate the flow
rate in mL/hr.
) 100 mL/hr
A
B) 125 mL/hr
C) 150 mL/hr
, D) 200 mL/hr
* *[CORRECT]** B (125 mL/hr)
*Rationale: Total volume ÷ Total hours = 1000 mL ÷ 8 hours = 125 mL/hr. Option A (100 mL/hr)
would result from dividing by 10 hours instead of 8, confusing the infusion time.*
---
* *Q6 (IV drip rate – gtt/min):** Order: 1000 mL NS over 6 hours. Drop factor: 15 gtt/mL.
Calculate the drip rate.
) 38 gtt/min
A
B) 40 gtt/min
C) 42 gtt/min
D) 45 gtt/min
* *[CORRECT]** C (42 gtt/min)
*Rationale: Formula: (Volume × Drop factor) ÷ Time in minutes = (1000 mL × 15 gtt/mL) ÷ 360
minutes = 15,000 ÷ 360 = 41.67 ≈ 42 gtt/min. Option B (40 gtt/min) would result from using 10
gtt/mL drop factor instead of 15.*
---
* *Q7 (Infusion time):** An IV of 500 mL is running at 75 mL/hr. How many hours will it take to
complete?
) 5.5 hours
A
B) 6.0 hours
C) 6.5 hours
D) 7.0 hours
* *[CORRECT]** C (6.7 hours or approximately 6 hours 40 minutes)
*Rationale: Total volume ÷ Rate = 500 mL ÷ 75 mL/hr = 6.67 hours = 6 hours 40 minutes. Option
B (6.0 hours) would result from incorrectly using 450 mL instead of 500 mL in the calculation.*
---
* *Q8 (Critical care drip – mcg/kg/min):** A patient weighs 70 kg. Dopamine is infusing at 15
mL/hr. The bag contains 400 mg in 250 mL D5W. Calculate the mcg/kg/min.
) 5.0 mcg/kg/min
A
B) 5.7 mcg/kg/min
C) 6.0 mcg/kg/min
D) 6.5 mcg/kg/min
Ability Exam 2026-2027
Version 1 | Questions &
Verified Answers | Grade A |
Pass Guaranteed
=======================================================================
=
========
## PART A – MULTIPLE CHOICE (Q1‑20)
========================================================================
========
* *Q1 (Oral tablets):** The physician orders 0.5 mg of digoxin. Available: 0.25 mg tablets. How
many tablets should the nurse administer?
) 0.25 tablet
A
B) 0.5 tablet
C) 1 tablet
D) 2 tablets
* *[CORRECT]** D (2 tablets)
*Rationale: The formula used is Desired ÷ Have = Number of tablets. 0.5 mg ÷ 0.25 mg/tablet =
2 tablets. Option B (0.5 tablet) would be incorrect because it confuses the ordered dose with the
number of tablets, forgetting to divide by the available strength.*
---
* *Q2 (Oral liquid):** Order: Amoxicillin 500 mg PO q8h. Available: Amoxicillin 250 mg/5 mL. How
many mL should the nurse administer?
) 5 mL
A
B) 7.5 mL
C) 10 mL
,D) 12.5 mL
* *[CORRECT]** C (10 mL)
*Rationale: Using ratio-proportion: 250 mg/5 mL = 500 mg/X mL; cross-multiply: 250X = 2500; X
= 10 mL. Option B (7.5 mL) would be wrong if the nurse incorrectly used 375 mg instead of 500
mg or miscalculated the proportion.*
---
* *Q3 (Injectable – IM):** Order: Morphine sulfate 8 mg IM q4h PRN pain. Available: Morphine
sulfate 10 mg/mL. How many mL should the nurse draw up?
) 0.6 mL
A
B) 0.8 mL
C) 1.0 mL
D) 1.2 mL
* *[CORRECT]** B (0.8 mL)
*Rationale: Desired ÷ Have × Vehicle = 8 mg ÷ 10 mg/mL = 0.8 mL. Option A (0.6 mL) would
result from incorrectly dividing 10 by 8 instead of 8 by 10, or confusing the concentration ratio.*
---
* *Q4 (Weight-based – pediatric):** Order: Acetaminophen 15 mg/kg PO q4h PRN fever for a
child weighing 22 lb. What is the safe single dose?
) 100 mg
A
B) 150 mg
C) 200 mg
D) 250 mg
* *[CORRECT]** B (150 mg)
*Rationale: First convert weight: 22 lb ÷ 2.2 lb/kg = 10 kg; then calculate: 15 mg/kg × 10 kg =
150 mg. Option C (200 mg) would be wrong if the nurse forgot to convert pounds to kilograms
and multiplied 15 × 22 directly.*
---
* *Q5 (IV flow rate – mL/hr):** Order: 1000 mL D5W to infuse over 8 hours. Calculate the flow
rate in mL/hr.
) 100 mL/hr
A
B) 125 mL/hr
C) 150 mL/hr
, D) 200 mL/hr
* *[CORRECT]** B (125 mL/hr)
*Rationale: Total volume ÷ Total hours = 1000 mL ÷ 8 hours = 125 mL/hr. Option A (100 mL/hr)
would result from dividing by 10 hours instead of 8, confusing the infusion time.*
---
* *Q6 (IV drip rate – gtt/min):** Order: 1000 mL NS over 6 hours. Drop factor: 15 gtt/mL.
Calculate the drip rate.
) 38 gtt/min
A
B) 40 gtt/min
C) 42 gtt/min
D) 45 gtt/min
* *[CORRECT]** C (42 gtt/min)
*Rationale: Formula: (Volume × Drop factor) ÷ Time in minutes = (1000 mL × 15 gtt/mL) ÷ 360
minutes = 15,000 ÷ 360 = 41.67 ≈ 42 gtt/min. Option B (40 gtt/min) would result from using 10
gtt/mL drop factor instead of 15.*
---
* *Q7 (Infusion time):** An IV of 500 mL is running at 75 mL/hr. How many hours will it take to
complete?
) 5.5 hours
A
B) 6.0 hours
C) 6.5 hours
D) 7.0 hours
* *[CORRECT]** C (6.7 hours or approximately 6 hours 40 minutes)
*Rationale: Total volume ÷ Rate = 500 mL ÷ 75 mL/hr = 6.67 hours = 6 hours 40 minutes. Option
B (6.0 hours) would result from incorrectly using 450 mL instead of 500 mL in the calculation.*
---
* *Q8 (Critical care drip – mcg/kg/min):** A patient weighs 70 kg. Dopamine is infusing at 15
mL/hr. The bag contains 400 mg in 250 mL D5W. Calculate the mcg/kg/min.
) 5.0 mcg/kg/min
A
B) 5.7 mcg/kg/min
C) 6.0 mcg/kg/min
D) 6.5 mcg/kg/min
