, Relias RN advaNced Math ability | Relias | acadeMic yeaR
2026/2027 | coMpReheNsive ceRtificatioN exaMiNatioN | 100
veRified QuestioNs aNd coRRect aNsweR RatioNales | | just
Released .
INTRODUCTION
This document contains 100 original verified questions designed for the Relias RN
Advanced Math Ability Comprehensive Certification Examination. The questions are
organized across four core domains: Dosage Calculations and IV Drip Rates (25
questions); Unit Conversions and Metric System (25 questions); Pediatric and Weight-
Based Calculations (25 questions); and Medication Administration and Safety Principles
(25 questions). Content is original and constructed to reinforce the official Relias RN Advanced
Math Ability course objectives for actual exam readiness and professional proficiency, aligned to
the 2026/2027 academic year. Each question includes a correct answer and a rationale
grounded in foundational nursing mathematics curriculum and patient-safety calculation
standards.
DOMAIN 1: DOSAGE CALCULATIONS AND IV DRIP RATES (25 QUESTIONS)
Question 1
Ordered: amoxicillin 500 mg PO. Available: 250 mg/5 mL suspension. How many mL will the
nurse administer?
A. 5 mL
B. 10 mL
C. 2.5 mL
D. 20 mL
coRRect aNsweR: B ✓
RatioNale: Desired/Have × Volume = 500 mg / 250 mg × 5 mL = 10 mL. Dimensional analysis
confirms the volume to administer.
Question 2
An IV of 1000 mL is ordered to infuse over 8 hours. The drop factor is 15 gtt/mL. Calculate the
flow rate in gtt/min.
A. 21 gtt/min
B. 42 gtt/min
C. 15 gtt/min
D. 31 gtt/min
, coRRect aNsweR: D ✓
RatioNale: Volume/Time (min) × Drop factor = 1000 mL / 480 min × 15 = 31.25 ≈ 31 gtt/min
(rounded to nearest whole number).
Question 3
Ordered: heparin 1000 units/hr IV. Available: heparin 25,000 units in 500 mL D5W. What is the
infusion rate in mL/hr?
A. 10 mL/hr
B. 20 mL/hr
C. 40 mL/hr
D. 50 mL/hr
coRRect aNsweR: B ✓
RatioNale: 25,000 units / 500 mL = 50 units/mL. 1000 units/hr ÷ 50 units/mL = 20 mL/hr.
Question 4
Ordered: metoprolol 25 mg PO. Available: metoprolol 50 mg tablets. How many tablets will the
nurse administer?
A. 0.25 tablet
B. 0.5 tablet
C. 1 tablet
D. 2 tablets
coRRect aNsweR: B ✓
RatioNale: Desired/Have = 25 mg / 50 mg = 0.5 tablet. The nurse should administer one-half
tablet.
Question 5
Ordered: 1500 mL D5W IV to infuse over 12 hours. Calculate the flow rate in mL/hr.
A. 100 mL/hr
B. 125 mL/hr
C. 150 mL/hr
D. 175 mL/hr
coRRect aNsweR: B ✓
RatioNale: 1500 mL / 12 hours = 125 mL/hr. This is a standard calculation for IV flow rate
without a drop factor.
2026/2027 | coMpReheNsive ceRtificatioN exaMiNatioN | 100
veRified QuestioNs aNd coRRect aNsweR RatioNales | | just
Released .
INTRODUCTION
This document contains 100 original verified questions designed for the Relias RN
Advanced Math Ability Comprehensive Certification Examination. The questions are
organized across four core domains: Dosage Calculations and IV Drip Rates (25
questions); Unit Conversions and Metric System (25 questions); Pediatric and Weight-
Based Calculations (25 questions); and Medication Administration and Safety Principles
(25 questions). Content is original and constructed to reinforce the official Relias RN Advanced
Math Ability course objectives for actual exam readiness and professional proficiency, aligned to
the 2026/2027 academic year. Each question includes a correct answer and a rationale
grounded in foundational nursing mathematics curriculum and patient-safety calculation
standards.
DOMAIN 1: DOSAGE CALCULATIONS AND IV DRIP RATES (25 QUESTIONS)
Question 1
Ordered: amoxicillin 500 mg PO. Available: 250 mg/5 mL suspension. How many mL will the
nurse administer?
A. 5 mL
B. 10 mL
C. 2.5 mL
D. 20 mL
coRRect aNsweR: B ✓
RatioNale: Desired/Have × Volume = 500 mg / 250 mg × 5 mL = 10 mL. Dimensional analysis
confirms the volume to administer.
Question 2
An IV of 1000 mL is ordered to infuse over 8 hours. The drop factor is 15 gtt/mL. Calculate the
flow rate in gtt/min.
A. 21 gtt/min
B. 42 gtt/min
C. 15 gtt/min
D. 31 gtt/min
, coRRect aNsweR: D ✓
RatioNale: Volume/Time (min) × Drop factor = 1000 mL / 480 min × 15 = 31.25 ≈ 31 gtt/min
(rounded to nearest whole number).
Question 3
Ordered: heparin 1000 units/hr IV. Available: heparin 25,000 units in 500 mL D5W. What is the
infusion rate in mL/hr?
A. 10 mL/hr
B. 20 mL/hr
C. 40 mL/hr
D. 50 mL/hr
coRRect aNsweR: B ✓
RatioNale: 25,000 units / 500 mL = 50 units/mL. 1000 units/hr ÷ 50 units/mL = 20 mL/hr.
Question 4
Ordered: metoprolol 25 mg PO. Available: metoprolol 50 mg tablets. How many tablets will the
nurse administer?
A. 0.25 tablet
B. 0.5 tablet
C. 1 tablet
D. 2 tablets
coRRect aNsweR: B ✓
RatioNale: Desired/Have = 25 mg / 50 mg = 0.5 tablet. The nurse should administer one-half
tablet.
Question 5
Ordered: 1500 mL D5W IV to infuse over 12 hours. Calculate the flow rate in mL/hr.
A. 100 mL/hr
B. 125 mL/hr
C. 150 mL/hr
D. 175 mL/hr
coRRect aNsweR: B ✓
RatioNale: 1500 mL / 12 hours = 125 mL/hr. This is a standard calculation for IV flow rate
without a drop factor.
