Medical Math: Hosa Questions With
Complete Solutions
Course
HOSA
1. Dosage Calculation:
Question: A patient is prescribed 250 mg of a medication, but the available tablets are 100 mg
each. How many tablets should be administered?
Solution:
To find the number of tablets, divide the prescribed dose by the dose per tablet:
Tablets=Prescribed DoseDose per Tablet=250 mg100 mg/tablet=2.5 tablets\text{Tablets} = \
frac{\text{Prescribed Dose}}{\text{Dose per Tablet}} = \frac{250 \text{ mg}}{100 \text{
mg/tablet}} = 2.5 \text{ tablets}Tablets=Dose per TabletPrescribed Dose=100 mg/tablet250 mg
=2.5 tablets
Answer: 2.5 tablets
2. IV Flow Rate:
Question: An IV bag containing 1000 mL is to be administered over 8 hours. What is the flow
rate in mL/hour?
Solution:
Flow rate=Total VolumeTime=1000 mL8 hours=125 mL/hour\text{Flow rate} = \frac{\
text{Total Volume}}{\text{Time}} = \frac{1000 \text{ mL}}{8 \text{ hours}} = 125 \
text{ mL/hour}Flow rate=TimeTotal Volume=8 hours1000 mL=125 mL/hour
Answer: 125 mL/hour
3. Body Surface Area (BSA):
Question: A child weighs 15 kg and has a height of 100 cm. Use the Mosteller formula to
calculate the BSA.
Mosteller Formula:
BSA=Height (cm)×Weight (kg)3600\text{BSA} = \sqrt{\frac{\text{Height (cm)} \times \
text{Weight (kg)}}{3600}}BSA=3600Height (cm)×Weight (kg)
Solution:
,BSA=100×153600=15003600=0.4167≈0.645 m2\text{BSA} = \sqrt{\frac{100 \times 15}
{3600}} = \sqrt{\frac{1500}{3600}} = \sqrt{0.4167} \approx 0.645 \
text{ m}^2BSA=3600100×15=36001500=0.4167≈0.645 m2
Answer: 0.645 m²
4. Concentration of Medication:
Question: A pharmacist prepares a solution with 500 mg of a drug in 250 mL of solution. What
is the concentration in mg/mL?
Solution:
Concentration=Total Amount of DrugVolume of Solution=500 mg250 mL=2 mg/mL\
text{Concentration} = \frac{\text{Total Amount of Drug}}{\text{Volume of Solution}} = \
frac{500 \text{ mg}}{250 \text{ mL}} = 2 \text{
mg/mL}Concentration=Volume of SolutionTotal Amount of Drug=250 mL500 mg=2 mg/mL
Answer: 2 mg/mL
5. Pediatric Dosage Calculation:
Question: A pediatric dose of medication is 10 mg/kg. A child weighs 20 kg. What is the total
dose of medication required?
Solution:
Total Dose=Weight×Dose per kg=20 kg×10 mg/kg=200 mg\text{Total Dose} = \text{Weight} \
times \text{Dose per kg} = 20 \text{ kg} \times 10 \text{ mg/kg} = 200 \
text{ mg}Total Dose=Weight×Dose per kg=20 kg×10 mg/kg=200 mg
Answer: 200 mg
6. Drip Rate Calculation:
Question: A 500 mL IV solution is ordered to be infused in 4 hours using a drip set with a drop
factor of 15 gtt/mL. What is the drip rate in gtt/min?
Solution:
Drip Rate=Volume to be infused×Drop FactorTime in minutes=500 mL×15 gtt/mL4 hours×60 m
inutes/hour=7500240=31.25 gtt/min\text{Drip Rate} = \frac{\text{Volume to be infused} \
times \text{Drop Factor}}{\text{Time in minutes}} = \frac{500 \text{ mL} \times 15 \
text{ gtt/mL}}{4 \text{ hours} \times 60 \text{ minutes/hour}} = \frac{7500}{240} = 31.25 \
text{ gtt/min}Drip Rate=Time in minutesVolume to be infused×Drop Factor
=4 hours×60 minutes/hour500 mL×15 gtt/mL=2407500=31.25 gtt/min
, Answer: 31.25 gtt/min
7. Temperature Conversion:
Question: Convert 98.6°F to Celsius.
Solution:
Use the formula:
Celsius=(Fahrenheit−32)1.8\text{Celsius} = \frac{(\text{Fahrenheit} - 32)}
{1.8}Celsius=1.8(Fahrenheit−32) Celsius=(98.6−32)1.8=66.61.8=37°C\text{Celsius} = \
frac{(98.6 - 32)}{1.8} = \frac{66.6}{1.8} = 37°CCelsius=1.8(98.6−32)=1.866.6=37°C
Answer: 37°C
8. Height and Weight Conversion:
Question: Convert a patient’s height of 5 feet 8 inches into centimeters.
Solution:
Convert feet to inches (1 foot = 12 inches):
5 feet=60 inches5 \text{ feet} = 60 \text{ inches}5 feet=60 inches
Total height in inches:
60+8=68 inches60 + 8 = 68 \text{ inches}60+8=68 inches
Convert inches to centimeters (1 inch = 2.54 cm):
68 inches×2.54 cm/inch=172.72 cm68 \text{ inches} \times 2.54 \text{ cm/inch} = 172.72 \
text{ cm}68 inches×2.54 cm/inch=172.72 cm
Answer: 172.72 cm
9. Drug Dilution:
Question: If you have a stock solution of 100 mg/10 mL and need to prepare a 25 mg/10 mL
solution, what volume of the stock solution will be needed?
Solution:
Use the dilution equation:
C1V1=C2V2C_1 V_1 = C_2 V_2C1V1=C2V2
Complete Solutions
Course
HOSA
1. Dosage Calculation:
Question: A patient is prescribed 250 mg of a medication, but the available tablets are 100 mg
each. How many tablets should be administered?
Solution:
To find the number of tablets, divide the prescribed dose by the dose per tablet:
Tablets=Prescribed DoseDose per Tablet=250 mg100 mg/tablet=2.5 tablets\text{Tablets} = \
frac{\text{Prescribed Dose}}{\text{Dose per Tablet}} = \frac{250 \text{ mg}}{100 \text{
mg/tablet}} = 2.5 \text{ tablets}Tablets=Dose per TabletPrescribed Dose=100 mg/tablet250 mg
=2.5 tablets
Answer: 2.5 tablets
2. IV Flow Rate:
Question: An IV bag containing 1000 mL is to be administered over 8 hours. What is the flow
rate in mL/hour?
Solution:
Flow rate=Total VolumeTime=1000 mL8 hours=125 mL/hour\text{Flow rate} = \frac{\
text{Total Volume}}{\text{Time}} = \frac{1000 \text{ mL}}{8 \text{ hours}} = 125 \
text{ mL/hour}Flow rate=TimeTotal Volume=8 hours1000 mL=125 mL/hour
Answer: 125 mL/hour
3. Body Surface Area (BSA):
Question: A child weighs 15 kg and has a height of 100 cm. Use the Mosteller formula to
calculate the BSA.
Mosteller Formula:
BSA=Height (cm)×Weight (kg)3600\text{BSA} = \sqrt{\frac{\text{Height (cm)} \times \
text{Weight (kg)}}{3600}}BSA=3600Height (cm)×Weight (kg)
Solution:
,BSA=100×153600=15003600=0.4167≈0.645 m2\text{BSA} = \sqrt{\frac{100 \times 15}
{3600}} = \sqrt{\frac{1500}{3600}} = \sqrt{0.4167} \approx 0.645 \
text{ m}^2BSA=3600100×15=36001500=0.4167≈0.645 m2
Answer: 0.645 m²
4. Concentration of Medication:
Question: A pharmacist prepares a solution with 500 mg of a drug in 250 mL of solution. What
is the concentration in mg/mL?
Solution:
Concentration=Total Amount of DrugVolume of Solution=500 mg250 mL=2 mg/mL\
text{Concentration} = \frac{\text{Total Amount of Drug}}{\text{Volume of Solution}} = \
frac{500 \text{ mg}}{250 \text{ mL}} = 2 \text{
mg/mL}Concentration=Volume of SolutionTotal Amount of Drug=250 mL500 mg=2 mg/mL
Answer: 2 mg/mL
5. Pediatric Dosage Calculation:
Question: A pediatric dose of medication is 10 mg/kg. A child weighs 20 kg. What is the total
dose of medication required?
Solution:
Total Dose=Weight×Dose per kg=20 kg×10 mg/kg=200 mg\text{Total Dose} = \text{Weight} \
times \text{Dose per kg} = 20 \text{ kg} \times 10 \text{ mg/kg} = 200 \
text{ mg}Total Dose=Weight×Dose per kg=20 kg×10 mg/kg=200 mg
Answer: 200 mg
6. Drip Rate Calculation:
Question: A 500 mL IV solution is ordered to be infused in 4 hours using a drip set with a drop
factor of 15 gtt/mL. What is the drip rate in gtt/min?
Solution:
Drip Rate=Volume to be infused×Drop FactorTime in minutes=500 mL×15 gtt/mL4 hours×60 m
inutes/hour=7500240=31.25 gtt/min\text{Drip Rate} = \frac{\text{Volume to be infused} \
times \text{Drop Factor}}{\text{Time in minutes}} = \frac{500 \text{ mL} \times 15 \
text{ gtt/mL}}{4 \text{ hours} \times 60 \text{ minutes/hour}} = \frac{7500}{240} = 31.25 \
text{ gtt/min}Drip Rate=Time in minutesVolume to be infused×Drop Factor
=4 hours×60 minutes/hour500 mL×15 gtt/mL=2407500=31.25 gtt/min
, Answer: 31.25 gtt/min
7. Temperature Conversion:
Question: Convert 98.6°F to Celsius.
Solution:
Use the formula:
Celsius=(Fahrenheit−32)1.8\text{Celsius} = \frac{(\text{Fahrenheit} - 32)}
{1.8}Celsius=1.8(Fahrenheit−32) Celsius=(98.6−32)1.8=66.61.8=37°C\text{Celsius} = \
frac{(98.6 - 32)}{1.8} = \frac{66.6}{1.8} = 37°CCelsius=1.8(98.6−32)=1.866.6=37°C
Answer: 37°C
8. Height and Weight Conversion:
Question: Convert a patient’s height of 5 feet 8 inches into centimeters.
Solution:
Convert feet to inches (1 foot = 12 inches):
5 feet=60 inches5 \text{ feet} = 60 \text{ inches}5 feet=60 inches
Total height in inches:
60+8=68 inches60 + 8 = 68 \text{ inches}60+8=68 inches
Convert inches to centimeters (1 inch = 2.54 cm):
68 inches×2.54 cm/inch=172.72 cm68 \text{ inches} \times 2.54 \text{ cm/inch} = 172.72 \
text{ cm}68 inches×2.54 cm/inch=172.72 cm
Answer: 172.72 cm
9. Drug Dilution:
Question: If you have a stock solution of 100 mg/10 mL and need to prepare a 25 mg/10 mL
solution, what volume of the stock solution will be needed?
Solution:
Use the dilution equation:
C1V1=C2V2C_1 V_1 = C_2 V_2C1V1=C2V2
