Medical Math: Hosa 2024-2025 Questions With Complete
Solutions
Course
HOSA
1. Question:
A physician orders 500 mg of a medication. The available tablets are 250 mg each. How many
tablets should be given?
Solution:
Required dose=500 mg,Available dose=250 mg/tablet\text{Required dose} = 500 \text{ mg}, \
quad \text{Available dose} = 250 \text{
mg/tablet}Required dose=500 mg,Available dose=250 mg/tablet
Tablets required=500250=2 tablets\text{Tablets required} = \frac{500}{250} = 2 \
text{ tablets}Tablets required=250500=2 tablets
Answer: 2 tablets
2. Question:
A patient needs 1.5 liters of IV fluid over 6 hours. What is the flow rate in mL per hour?
Solution:
1.5 L=1500 mL1.5 \text{ L} = 1500 \text{ mL}1.5 L=1500 mL
Flow rate=1500 mL6 hours=250 mL/hr\text{Flow rate} = \frac{1500 \text{ mL}}{6 \
text{ hours}} = 250 \text{ mL/hr}Flow rate=6 hours1500 mL=250 mL/hr
Answer: 250 mL/hr
3. Question:
A patient weighs 165 pounds. Convert this weight to kilograms (kg). (Use 1 kg = 2.2 lbs)
Solution:
Weight in kg=1652.2=75 kg\text{Weight in kg} = \frac{165}{2.2} = 75 \
text{ kg}Weight in kg=2.2165=75 kg
,Answer: 75 kg
4. Question:
A medication is prescribed at 5 mg/kg for a 70 kg patient. What is the required dose?
Solution:
Dose=5×70=350 mg\text{Dose} = 5 \times 70 = 350 \text{ mg}Dose=5×70=350 mg
Answer: 350 mg
5. Question:
A prescription requires 30 mg of a drug to be administered. The available vial contains 10
mg/mL. How many mL should be given?
Solution:
Volume required=30 mg10 mg/mL=3 mL\text{Volume required} = \frac{30 \text{ mg}}{10 \
text{ mg/mL}} = 3 \text{ mL}Volume required=10 mg/mL30 mg=3 mL
Answer: 3 mL
6. Question:
A doctor prescribes 0.75 g of medication. The available tablets are 250 mg each. How many
tablets should be given?
Solution:
Convert grams to milligrams:
0.75 g=750 mg0.75 \text{ g} = 750 \text{ mg}0.75 g=750 mg
Tablets required=750250=3 tablets\text{Tablets required} = \frac{750}{250} = 3 \
text{ tablets}Tablets required=250750=3 tablets
Answer: 3 tablets
, 7. Question:
A solution contains 40 mg of medication per 2 mL. How many mg are in 5 mL?
Solution:
Concentration=40 mg2 mL=20 mg/mL\text{Concentration} = \frac{40 \text{ mg}}{2 \
text{ mL}} = 20 \text{ mg/mL}Concentration=2 mL40 mg=20 mg/mL
Medication in 5 mL=5×20=100 mg\text{Medication in 5 mL} = 5 \times 20 = 100 \
text{ mg}Medication in 5 mL=5×20=100 mg
Answer: 100 mg
8. Question:
A medication is given at 10 mcg per kg per minute for a 60 kg patient. What is the dose in mcg
per minute?
Solution:
Dose=10×60=600 mcg/min\text{Dose} = 10 \times 60 = 600 \text{
mcg/min}Dose=10×60=600 mcg/min
Answer: 600 mcg/min
9. Question:
A prescription calls for 1.2 g of medication per day in 3 divided doses. How much should be
given per dose in mg?
Solution:
Convert grams to milligrams:
1.2 g=1200 mg1.2 \text{ g} = 1200 \text{ mg}1.2 g=1200 mg
Dose per administration=12003=400 mg\text{Dose per administration} = \frac{1200}{3} =
400 \text{ mg}Dose per administration=31200=400 mg
Answer: 400 mg per dose
Solutions
Course
HOSA
1. Question:
A physician orders 500 mg of a medication. The available tablets are 250 mg each. How many
tablets should be given?
Solution:
Required dose=500 mg,Available dose=250 mg/tablet\text{Required dose} = 500 \text{ mg}, \
quad \text{Available dose} = 250 \text{
mg/tablet}Required dose=500 mg,Available dose=250 mg/tablet
Tablets required=500250=2 tablets\text{Tablets required} = \frac{500}{250} = 2 \
text{ tablets}Tablets required=250500=2 tablets
Answer: 2 tablets
2. Question:
A patient needs 1.5 liters of IV fluid over 6 hours. What is the flow rate in mL per hour?
Solution:
1.5 L=1500 mL1.5 \text{ L} = 1500 \text{ mL}1.5 L=1500 mL
Flow rate=1500 mL6 hours=250 mL/hr\text{Flow rate} = \frac{1500 \text{ mL}}{6 \
text{ hours}} = 250 \text{ mL/hr}Flow rate=6 hours1500 mL=250 mL/hr
Answer: 250 mL/hr
3. Question:
A patient weighs 165 pounds. Convert this weight to kilograms (kg). (Use 1 kg = 2.2 lbs)
Solution:
Weight in kg=1652.2=75 kg\text{Weight in kg} = \frac{165}{2.2} = 75 \
text{ kg}Weight in kg=2.2165=75 kg
,Answer: 75 kg
4. Question:
A medication is prescribed at 5 mg/kg for a 70 kg patient. What is the required dose?
Solution:
Dose=5×70=350 mg\text{Dose} = 5 \times 70 = 350 \text{ mg}Dose=5×70=350 mg
Answer: 350 mg
5. Question:
A prescription requires 30 mg of a drug to be administered. The available vial contains 10
mg/mL. How many mL should be given?
Solution:
Volume required=30 mg10 mg/mL=3 mL\text{Volume required} = \frac{30 \text{ mg}}{10 \
text{ mg/mL}} = 3 \text{ mL}Volume required=10 mg/mL30 mg=3 mL
Answer: 3 mL
6. Question:
A doctor prescribes 0.75 g of medication. The available tablets are 250 mg each. How many
tablets should be given?
Solution:
Convert grams to milligrams:
0.75 g=750 mg0.75 \text{ g} = 750 \text{ mg}0.75 g=750 mg
Tablets required=750250=3 tablets\text{Tablets required} = \frac{750}{250} = 3 \
text{ tablets}Tablets required=250750=3 tablets
Answer: 3 tablets
, 7. Question:
A solution contains 40 mg of medication per 2 mL. How many mg are in 5 mL?
Solution:
Concentration=40 mg2 mL=20 mg/mL\text{Concentration} = \frac{40 \text{ mg}}{2 \
text{ mL}} = 20 \text{ mg/mL}Concentration=2 mL40 mg=20 mg/mL
Medication in 5 mL=5×20=100 mg\text{Medication in 5 mL} = 5 \times 20 = 100 \
text{ mg}Medication in 5 mL=5×20=100 mg
Answer: 100 mg
8. Question:
A medication is given at 10 mcg per kg per minute for a 60 kg patient. What is the dose in mcg
per minute?
Solution:
Dose=10×60=600 mcg/min\text{Dose} = 10 \times 60 = 600 \text{
mcg/min}Dose=10×60=600 mcg/min
Answer: 600 mcg/min
9. Question:
A prescription calls for 1.2 g of medication per day in 3 divided doses. How much should be
given per dose in mg?
Solution:
Convert grams to milligrams:
1.2 g=1200 mg1.2 \text{ g} = 1200 \text{ mg}1.2 g=1200 mg
Dose per administration=12003=400 mg\text{Dose per administration} = \frac{1200}{3} =
400 \text{ mg}Dose per administration=31200=400 mg
Answer: 400 mg per dose
