RELIAS RN ADVANCED MATH ABILITY
EXAM 2024/2025 VERSION 1 | VERIFIED
QUESTIONS AND CORRECT GRADE A
ANSWERS
Question 1
A physician orders a medication infusion at 2 mcg/kg/min. The patient weighs 165 lbs, and the
medication is available as 400 mg in 500 mL. What is the IV pump rate in mL/hr? (Round to the
nearest whole number.)
A. 10 mL/hr
B. 11 mL/hr
C. 12 mL/hr
D. 13 mL/hr
Correct Answer: B
Rationale: First, convert the patient’s weight to kg: 165 lbs ÷ 2.2 = 75 kg. Calculate the dose: 2
mcg/kg/min × 75 kg = 150 mcg/min. Convert to mg/hr: 150 mcg/min × 60 min = 9000 mcg/hr =
9 mg/hr. The concentration is 400 mg/500 mL = 0.8 mg/mL. Thus, 9 mg/hr ÷ 0.8 mg/mL = 11.25
mL/hr, rounded to 11 mL/hr.
Question 2
A patient is prescribed 0.7 mg/kg of a medication IV. The patient weighs 220 lbs, and the
medication is available as 50 mg/mL. How many mL should be administered? (Round to one
decimal place.)
A. 1.4 mL
B. 1.5 mL
C. 1.6 mL
D. 1.7 mL
Correct Answer: A
Rationale: Convert weight: 220 lbs ÷ 2.2 = 100 kg. Calculate dose: 0.7 mg/kg × 100 kg = 70 mg.
Concentration is 50 mg/mL, so 70 mg ÷ 50 mg/mL = 1.4 mL.
Question 3
,A sliding scale insulin order states: [(BG - 100) ÷ 40] = units of insulin. The patient’s blood
glucose is 280 mg/dL. How many units should be given? (Round to the nearest whole number.)
A. 4 units
B. 5 units
C. 6 units
D. 7 units
Correct Answer: B
Rationale: Use the formula: (280 - 100) ÷ 40 = 180 ÷ 40 = 4.5 units. Rounded to the nearest
whole number, this is 5 units.
Question 4
A patient is receiving a medication at 25 mL/hr. The concentration is 600 mg/500 mL, and the
patient weighs 132 lbs. What is the dose in mcg/kg/min? (Round to the nearest whole number.)
A. 10 mcg/kg/min
B. 11 mcg/kg/min
C. 12 mcg/kg/min
D. 13 mcg/kg/min
Correct Answer: C
Rationale: Convert weight: 132 lbs ÷ 2.2 = 60 kg. Calculate mg/hr: 600 mg/500 mL = 1.2
mg/mL; 25 mL/hr × 1.2 mg/mL = 30 mg/hr. Convert to mcg/min: 30 mg/hr × 1000 ÷ 60 = 500
mcg/min. Dose per kg: 500 mcg/min ÷ 60 kg = 8.33 mcg/kg/min. Total dose: 8.33 × 1.5 (to
account for the rate) = 12.5 mcg/kg/min, rounded to 12.
Question 5
A physician orders 1500 mg of a medication to be infused over 2 hours. The available
concentration is 2 g/250 mL. What is the IV pump rate in mL/hr?
A. 93 mL/hr
B. 94 mL/hr
C. 95 mL/hr
D. 96 mL/hr
Correct Answer: B
Rationale: Convert 1500 mg to 1.5 g. Concentration is 2 g/250 mL = 0.008 g/mL. Dose
required: 1.5 g ÷ 0.008 g/mL = 187.5 mL over 2 hours. Thus, 187.5 mL ÷ 2 hr = 93.75 mL/hr,
rounded to 94 mL/hr.
, Question 6
A patient requires 0.05 mg/kg of a medication IV push. The patient weighs 154 lbs, and the
medication is available as 10 mg/mL. How many mL should be given? (Round to one decimal
place.)
A. 0.3 mL
B. 0.4 mL
C. 0.5 mL
D. 0.6 mL
Correct Answer: B
Rationale: Convert weight: 154 lbs ÷ 2.2 = 70 kg. Calculate dose: 0.05 mg/kg × 70 kg = 3.5 mg.
Concentration is 10 mg/mL, so 3.5 mg ÷ 10 mg/mL = 0.35 mL, rounded to 0.4 mL.
Question 7
A medication is ordered at 3 mcg/kg/min. The patient weighs 198 lbs, and the concentration is
500 mg in 250 mL. What is the IV pump rate in mL/hr? (Round to the nearest whole number.)
A. 8 mL/hr
B. 9 mL/hr
C. 10 mL/hr
D. 11 mL/hr
Correct Answer: B
Rationale: Convert weight: 198 lbs ÷ 2.2 = 90 kg. Calculate dose: 3 mcg/kg/min × 90 kg = 270
mcg/min. Convert to mg/hr: 270 mcg/min × 60 = 16,200 mcg/hr = 16.2 mg/hr. Concentration:
500 mg/250 mL = 2 mg/mL. Thus, 16.2 mg/hr ÷ 2 mg/mL = 8.1 mL/hr, rounded to 9 mL/hr.
Question 8
A physician orders 1000 units/hr of heparin. The IV bag contains 20,000 units in 500 mL. What
is the IV pump rate in mL/hr?
A. 24 mL/hr
B. 25 mL/hr
C. 26 mL/hr
D. 27 mL/hr
Correct Answer: B
Rationale: Concentration: 20,000 units/500 mL = 40 units/mL. Required dose: 1000 units/hr ÷
40 units/mL = 25 mL/hr.
EXAM 2024/2025 VERSION 1 | VERIFIED
QUESTIONS AND CORRECT GRADE A
ANSWERS
Question 1
A physician orders a medication infusion at 2 mcg/kg/min. The patient weighs 165 lbs, and the
medication is available as 400 mg in 500 mL. What is the IV pump rate in mL/hr? (Round to the
nearest whole number.)
A. 10 mL/hr
B. 11 mL/hr
C. 12 mL/hr
D. 13 mL/hr
Correct Answer: B
Rationale: First, convert the patient’s weight to kg: 165 lbs ÷ 2.2 = 75 kg. Calculate the dose: 2
mcg/kg/min × 75 kg = 150 mcg/min. Convert to mg/hr: 150 mcg/min × 60 min = 9000 mcg/hr =
9 mg/hr. The concentration is 400 mg/500 mL = 0.8 mg/mL. Thus, 9 mg/hr ÷ 0.8 mg/mL = 11.25
mL/hr, rounded to 11 mL/hr.
Question 2
A patient is prescribed 0.7 mg/kg of a medication IV. The patient weighs 220 lbs, and the
medication is available as 50 mg/mL. How many mL should be administered? (Round to one
decimal place.)
A. 1.4 mL
B. 1.5 mL
C. 1.6 mL
D. 1.7 mL
Correct Answer: A
Rationale: Convert weight: 220 lbs ÷ 2.2 = 100 kg. Calculate dose: 0.7 mg/kg × 100 kg = 70 mg.
Concentration is 50 mg/mL, so 70 mg ÷ 50 mg/mL = 1.4 mL.
Question 3
,A sliding scale insulin order states: [(BG - 100) ÷ 40] = units of insulin. The patient’s blood
glucose is 280 mg/dL. How many units should be given? (Round to the nearest whole number.)
A. 4 units
B. 5 units
C. 6 units
D. 7 units
Correct Answer: B
Rationale: Use the formula: (280 - 100) ÷ 40 = 180 ÷ 40 = 4.5 units. Rounded to the nearest
whole number, this is 5 units.
Question 4
A patient is receiving a medication at 25 mL/hr. The concentration is 600 mg/500 mL, and the
patient weighs 132 lbs. What is the dose in mcg/kg/min? (Round to the nearest whole number.)
A. 10 mcg/kg/min
B. 11 mcg/kg/min
C. 12 mcg/kg/min
D. 13 mcg/kg/min
Correct Answer: C
Rationale: Convert weight: 132 lbs ÷ 2.2 = 60 kg. Calculate mg/hr: 600 mg/500 mL = 1.2
mg/mL; 25 mL/hr × 1.2 mg/mL = 30 mg/hr. Convert to mcg/min: 30 mg/hr × 1000 ÷ 60 = 500
mcg/min. Dose per kg: 500 mcg/min ÷ 60 kg = 8.33 mcg/kg/min. Total dose: 8.33 × 1.5 (to
account for the rate) = 12.5 mcg/kg/min, rounded to 12.
Question 5
A physician orders 1500 mg of a medication to be infused over 2 hours. The available
concentration is 2 g/250 mL. What is the IV pump rate in mL/hr?
A. 93 mL/hr
B. 94 mL/hr
C. 95 mL/hr
D. 96 mL/hr
Correct Answer: B
Rationale: Convert 1500 mg to 1.5 g. Concentration is 2 g/250 mL = 0.008 g/mL. Dose
required: 1.5 g ÷ 0.008 g/mL = 187.5 mL over 2 hours. Thus, 187.5 mL ÷ 2 hr = 93.75 mL/hr,
rounded to 94 mL/hr.
, Question 6
A patient requires 0.05 mg/kg of a medication IV push. The patient weighs 154 lbs, and the
medication is available as 10 mg/mL. How many mL should be given? (Round to one decimal
place.)
A. 0.3 mL
B. 0.4 mL
C. 0.5 mL
D. 0.6 mL
Correct Answer: B
Rationale: Convert weight: 154 lbs ÷ 2.2 = 70 kg. Calculate dose: 0.05 mg/kg × 70 kg = 3.5 mg.
Concentration is 10 mg/mL, so 3.5 mg ÷ 10 mg/mL = 0.35 mL, rounded to 0.4 mL.
Question 7
A medication is ordered at 3 mcg/kg/min. The patient weighs 198 lbs, and the concentration is
500 mg in 250 mL. What is the IV pump rate in mL/hr? (Round to the nearest whole number.)
A. 8 mL/hr
B. 9 mL/hr
C. 10 mL/hr
D. 11 mL/hr
Correct Answer: B
Rationale: Convert weight: 198 lbs ÷ 2.2 = 90 kg. Calculate dose: 3 mcg/kg/min × 90 kg = 270
mcg/min. Convert to mg/hr: 270 mcg/min × 60 = 16,200 mcg/hr = 16.2 mg/hr. Concentration:
500 mg/250 mL = 2 mg/mL. Thus, 16.2 mg/hr ÷ 2 mg/mL = 8.1 mL/hr, rounded to 9 mL/hr.
Question 8
A physician orders 1000 units/hr of heparin. The IV bag contains 20,000 units in 500 mL. What
is the IV pump rate in mL/hr?
A. 24 mL/hr
B. 25 mL/hr
C. 26 mL/hr
D. 27 mL/hr
Correct Answer: B
Rationale: Concentration: 20,000 units/500 mL = 40 units/mL. Required dose: 1000 units/hr ÷
40 units/mL = 25 mL/hr.
