Relias RN Advanced Math Ability V1 | Q&A
with Rationale
1. A physician orders 0.5 mg of a medication to be given intramuscularly. The medication is
supplied in a vial labeled 1 mg/2 mL. How many milliliters should the nurse administer?
A. 0.5 mL
B. 1.5 mL
C. 1 mL
D. 2 mL
Correct Answer: C
Rationale: To solve this problem, use the formula (Desired/Have) x Quantity. Desired is
0.5 mg and Have is 1 mg per 2 mL. Dividing 0.5 mg by 1 mg equals 0.5, which is then
multiplied by the quantity of 2 mL to yield 1 mL.
2. The provider orders a 1-liter bolus of Normal Saline to be infused over 4 hours. At what
rate should the IV pump be set in mL/hr?
A. 250 mL/hr
B. 200 mL/hr
C. 125 mL/hr
D. 500 mL/hr
,Correct Answer: A
Rationale: First, convert the total volume from liters to milliliters, which is 1,000 mL. Next,
divide the total volume by the infusion time in hours, which is 4 hours. The result of 1,000
mL divided by 4 hours equals 250 mL/hr.
3. A patient weighs 176 pounds. The physician orders a medication at a dosage of 5 mg/kg.
How many milligrams should the nurse administer?
A. 350 mg
B. 880 mg
C. 440 mg
D. 400 mg
Correct Answer: D
Rationale: First, convert the weight from pounds to kilograms by dividing 176 lbs by 2.2,
which equals 80 kg. Then, multiply the weight in kg by the dosage of 5 mg/kg. This
calculation results in a total dose of 400 mg.
4. The order is for Heparin 1,200 units/hour. The IV bag contains 25,000 units of Heparin in
500 mL of D5W. What is the correct pump setting in mL/hr?
A. 20 mL/hr
B. 24 mL/hr
C. 30 mL/hr
, D. 48 mL/hr
Correct Answer: B
Rationale: Calculate the concentration of the Heparin solution first by dividing 25,000
units by 500 mL, resulting in 50 units/mL. Then, divide the ordered rate of 1,200 units/hr
by the concentration of 50 units/mL. The final calculation gives an infusion rate of 24
mL/hr.
5. An IV of 500 mL is ordered to infuse at 75 mL/hr. How many hours and minutes will this IV
take to infuse?
A. 6 hours and 15 minutes
B. 8 hours
C. 7 hours and 20 minutes
D. 6 hours and 40 minutes
Correct Answer: D
Rationale: Divide the total volume of 500 mL by the rate of 75 mL/hr, which equals 6.666
hours. To find the minutes, multiply the decimal 0.666 by 60 minutes. This calculation
results in exactly 6 hours and 40 minutes.
6. The nurse is to administer 150 mg of a drug that is available as 75 mg per 1.5 mL. How
many mL should be given?
A. 2 mL
with Rationale
1. A physician orders 0.5 mg of a medication to be given intramuscularly. The medication is
supplied in a vial labeled 1 mg/2 mL. How many milliliters should the nurse administer?
A. 0.5 mL
B. 1.5 mL
C. 1 mL
D. 2 mL
Correct Answer: C
Rationale: To solve this problem, use the formula (Desired/Have) x Quantity. Desired is
0.5 mg and Have is 1 mg per 2 mL. Dividing 0.5 mg by 1 mg equals 0.5, which is then
multiplied by the quantity of 2 mL to yield 1 mL.
2. The provider orders a 1-liter bolus of Normal Saline to be infused over 4 hours. At what
rate should the IV pump be set in mL/hr?
A. 250 mL/hr
B. 200 mL/hr
C. 125 mL/hr
D. 500 mL/hr
,Correct Answer: A
Rationale: First, convert the total volume from liters to milliliters, which is 1,000 mL. Next,
divide the total volume by the infusion time in hours, which is 4 hours. The result of 1,000
mL divided by 4 hours equals 250 mL/hr.
3. A patient weighs 176 pounds. The physician orders a medication at a dosage of 5 mg/kg.
How many milligrams should the nurse administer?
A. 350 mg
B. 880 mg
C. 440 mg
D. 400 mg
Correct Answer: D
Rationale: First, convert the weight from pounds to kilograms by dividing 176 lbs by 2.2,
which equals 80 kg. Then, multiply the weight in kg by the dosage of 5 mg/kg. This
calculation results in a total dose of 400 mg.
4. The order is for Heparin 1,200 units/hour. The IV bag contains 25,000 units of Heparin in
500 mL of D5W. What is the correct pump setting in mL/hr?
A. 20 mL/hr
B. 24 mL/hr
C. 30 mL/hr
, D. 48 mL/hr
Correct Answer: B
Rationale: Calculate the concentration of the Heparin solution first by dividing 25,000
units by 500 mL, resulting in 50 units/mL. Then, divide the ordered rate of 1,200 units/hr
by the concentration of 50 units/mL. The final calculation gives an infusion rate of 24
mL/hr.
5. An IV of 500 mL is ordered to infuse at 75 mL/hr. How many hours and minutes will this IV
take to infuse?
A. 6 hours and 15 minutes
B. 8 hours
C. 7 hours and 20 minutes
D. 6 hours and 40 minutes
Correct Answer: D
Rationale: Divide the total volume of 500 mL by the rate of 75 mL/hr, which equals 6.666
hours. To find the minutes, multiply the decimal 0.666 by 60 minutes. This calculation
results in exactly 6 hours and 40 minutes.
6. The nurse is to administer 150 mg of a drug that is available as 75 mg per 1.5 mL. How
many mL should be given?
A. 2 mL
