Medical Math: Hosa Questions With
Complete Solutions
Course
HOSA
1. A physician prescribes 500 mg of amoxicillin. The available tablets are 250 mg
each. How many tablets should be given?
✅ Solution:
Tablets needed=Prescribed doseAvailable dose=500 mg250 mg/tablet=2 tablets\text{Tablets
needed} = \frac{\text{Prescribed dose}}{\text{Available dose}} = \frac{500 \text{ mg}}{250 \
text{ mg/tablet}} = 2 \text{ tablets}Tablets needed=Available dosePrescribed dose
=250 mg/tablet500 mg=2 tablets
Answer: 2 tablets
2. A patient needs 1.2 liters of IV fluid over 6 hours. What is the flow rate in mL
per hour?
✅ Solution:
1.2 L=1200 mL1.2 \text{ L} = 1200 \text{ mL}1.2 L=1200 mL
Flow rate=1200 mL6 hours=200 mL/hour\text{Flow rate} = \frac{1200 \text{ mL}}{6 \
text{ hours}} = 200 \text{ mL/hour}Flow rate=6 hours1200 mL=200 mL/hour
Answer: 200 mL/hour
3. A patient weighs 154 lbs. The doctor orders medication at 2 mg/kg. How many
mg should be administered?
✅ Solution:
1 kg = 2.2 lbs
Weight in kg=154 lbs2.2=70 kg\text{Weight in kg} = \frac{154 \text{ lbs}}{2.2} = 70 \
text{ kg}Weight in kg=2.2154 lbs=70 kg Dose=70 kg×2 mg/kg=140 mg\text{Dose} = 70 \
text{ kg} \times 2 \text{ mg/kg} = 140 \text{ mg}Dose=70 kg×2 mg/kg=140 mg
Answer: 140 mg
,4. Convert 98.6°F to Celsius.
✅ Solution:
C=(F−32)×59=(98.6−32)×59C = \frac{(F - 32) \times 5}{9} = \frac{(98.6 - 32) \times 5}
{9}C=9(F−32)×5=9(98.6−32)×5 C=66.6×59=3339=37∘CC = \frac{66.6 \times 5}{9} = \
frac{333}{9} = 37^\circ CC=966.6×5=9333=37∘C
Answer: 37°C
5. A medication is ordered at 0.75 g. The available dose is 250 mg per tablet. How
many tablets are needed?
✅ Solution:
Convert grams to mg:
0.75 g=750 mg0.75 \text{ g} = 750 \text{ mg}0.75 g=750 mg
Tablets needed=750 mg250 mg/tablet=3 tablets\text{Tablets needed} = \frac{750 \text{ mg}}
{250 \text{ mg/tablet}} = 3 \text{ tablets}Tablets needed=250 mg/tablet750 mg=3 tablets
Answer: 3 tablets
6. The doctor prescribes 800 mL of IV fluid over 4 hours using a 20 gtt/mL IV
tubing. What is the flow rate in gtt/min?
✅ Solution:
Flow rate (mL/min)=800 mL4×60 min=800240=3.33 mL/min\text{Flow rate (mL/min)} = \
frac{800 \text{ mL}}{4 \times 60 \text{ min}} = \frac{800}{240} = 3.33 \text{
mL/min}Flow rate (mL/min)=4×60 min800 mL=240800=3.33 mL/min
Drops per min=3.33×20=67 gtt/min\text{Drops per min} = 3.33 \times 20 = 67 \text{
gtt/min}Drops per min=3.33×20=67 gtt/min
Answer: 67 gtt/min
7. Convert 3 teaspoons to milliliters.
,✅ Solution:
1 teaspoon = 5 mL
3 tsp×5 mL/tsp=15 mL3 \text{ tsp} \times 5 \text{ mL/tsp} = 15 \
text{ mL}3 tsp×5 mL/tsp=15 mL
Answer: 15 mL
8. A medication is prescribed at 40 mg/kg. The patient weighs 25 kg. How much
medication should be given?
✅ Solution:
Dose=40 mg/kg×25 kg=1000 mg\text{Dose} = 40 \text{ mg/kg} \times 25 \text{ kg} = 1000 \
text{ mg}Dose=40 mg/kg×25 kg=1000 mg
Answer: 1000 mg
9. A nurse must administer 600 mg of a drug, and the vial contains 150 mg per 2
mL. How many mL should be given?
✅ Solution:
mL needed=Prescribed doseDose per mL=600 mg150 mg/2 mL=600×2150\text{mL needed} = \
frac{\text{Prescribed dose}}{\text{Dose per mL}} = \frac{600 \text{ mg}}{150 \text{ mg}/2 \
text{ mL}} = \frac{600 \times 2}{150}mL needed=Dose per mLPrescribed dose
=150 mg/2 mL600 mg=150600×2 =1200150=8 mL= \frac{1200}{150} = 8 \text{ mL}=1501200
=8 mL
Answer: 8 mL
10. Convert 1.5 liters to milliliters.
✅ Solution:
1 L=1000 mL1 \text{ L} = 1000 \text{ mL}1 L=1000 mL 1.5×1000=1500 mL1.5 \times 1000 =
1500 \text{ mL}1.5×1000=1500 mL
Answer: 1500 mL
, 11. A patient needs 75 mg of a medication. The vial contains 50 mg per 2 mL. How many mL
should be administered?
✅ Solution:
mL needed=Prescribed doseDose per mL=75 mg50 mg/2 mL=75×250=3 mL\text{mL needed} = \
frac{\text{Prescribed dose}}{\text{Dose per mL}} = \frac{75 \text{ mg}}{50 \text{ mg}/2 \
text{ mL}} = \frac{75 \times 2}{50} = 3 \text{ mL}mL needed=Dose per mLPrescribed dose
=50 mg/2 mL75 mg=5075×2=3 mL
Answer: 3 mL
12. A child weighs 44 lbs, and the doctor prescribes a dose of 5 mg/kg. How many mg should
be given?
✅ Solution:
Convert pounds to kilograms:
Weight in kg=442.2=20 kg\text{Weight in kg} = \frac{44}{2.2} = 20 \text{ kg}Weight in kg=2.244
=20 kg Dose=20×5=100 mg\text{Dose} = 20 \times 5 = 100 \text{ mg}Dose=20×5=100 mg
Answer: 100 mg
13. Convert 250 mL to ounces.
✅ Solution:
1 ounce = 30 mL
25030=8.33 oz\frac{250}{30} = 8.33 \text{ oz}30250=8.33 oz
Answer: 8.33 oz
14. A medication is prescribed at 0.2 g. The available tablets are 50 mg each. How many
tablets are needed?
✅ Solution:
Convert grams to mg:
0.2 g=200 mg0.2 \text{ g} = 200 \text{ mg}0.2 g=200 mg Tablets needed=20050=4 tablets\
text{Tablets needed} = \frac{200}{50} = 4 \text{ tablets}Tablets needed=50200=4 tablets
Answer: 4 tablets
Complete Solutions
Course
HOSA
1. A physician prescribes 500 mg of amoxicillin. The available tablets are 250 mg
each. How many tablets should be given?
✅ Solution:
Tablets needed=Prescribed doseAvailable dose=500 mg250 mg/tablet=2 tablets\text{Tablets
needed} = \frac{\text{Prescribed dose}}{\text{Available dose}} = \frac{500 \text{ mg}}{250 \
text{ mg/tablet}} = 2 \text{ tablets}Tablets needed=Available dosePrescribed dose
=250 mg/tablet500 mg=2 tablets
Answer: 2 tablets
2. A patient needs 1.2 liters of IV fluid over 6 hours. What is the flow rate in mL
per hour?
✅ Solution:
1.2 L=1200 mL1.2 \text{ L} = 1200 \text{ mL}1.2 L=1200 mL
Flow rate=1200 mL6 hours=200 mL/hour\text{Flow rate} = \frac{1200 \text{ mL}}{6 \
text{ hours}} = 200 \text{ mL/hour}Flow rate=6 hours1200 mL=200 mL/hour
Answer: 200 mL/hour
3. A patient weighs 154 lbs. The doctor orders medication at 2 mg/kg. How many
mg should be administered?
✅ Solution:
1 kg = 2.2 lbs
Weight in kg=154 lbs2.2=70 kg\text{Weight in kg} = \frac{154 \text{ lbs}}{2.2} = 70 \
text{ kg}Weight in kg=2.2154 lbs=70 kg Dose=70 kg×2 mg/kg=140 mg\text{Dose} = 70 \
text{ kg} \times 2 \text{ mg/kg} = 140 \text{ mg}Dose=70 kg×2 mg/kg=140 mg
Answer: 140 mg
,4. Convert 98.6°F to Celsius.
✅ Solution:
C=(F−32)×59=(98.6−32)×59C = \frac{(F - 32) \times 5}{9} = \frac{(98.6 - 32) \times 5}
{9}C=9(F−32)×5=9(98.6−32)×5 C=66.6×59=3339=37∘CC = \frac{66.6 \times 5}{9} = \
frac{333}{9} = 37^\circ CC=966.6×5=9333=37∘C
Answer: 37°C
5. A medication is ordered at 0.75 g. The available dose is 250 mg per tablet. How
many tablets are needed?
✅ Solution:
Convert grams to mg:
0.75 g=750 mg0.75 \text{ g} = 750 \text{ mg}0.75 g=750 mg
Tablets needed=750 mg250 mg/tablet=3 tablets\text{Tablets needed} = \frac{750 \text{ mg}}
{250 \text{ mg/tablet}} = 3 \text{ tablets}Tablets needed=250 mg/tablet750 mg=3 tablets
Answer: 3 tablets
6. The doctor prescribes 800 mL of IV fluid over 4 hours using a 20 gtt/mL IV
tubing. What is the flow rate in gtt/min?
✅ Solution:
Flow rate (mL/min)=800 mL4×60 min=800240=3.33 mL/min\text{Flow rate (mL/min)} = \
frac{800 \text{ mL}}{4 \times 60 \text{ min}} = \frac{800}{240} = 3.33 \text{
mL/min}Flow rate (mL/min)=4×60 min800 mL=240800=3.33 mL/min
Drops per min=3.33×20=67 gtt/min\text{Drops per min} = 3.33 \times 20 = 67 \text{
gtt/min}Drops per min=3.33×20=67 gtt/min
Answer: 67 gtt/min
7. Convert 3 teaspoons to milliliters.
,✅ Solution:
1 teaspoon = 5 mL
3 tsp×5 mL/tsp=15 mL3 \text{ tsp} \times 5 \text{ mL/tsp} = 15 \
text{ mL}3 tsp×5 mL/tsp=15 mL
Answer: 15 mL
8. A medication is prescribed at 40 mg/kg. The patient weighs 25 kg. How much
medication should be given?
✅ Solution:
Dose=40 mg/kg×25 kg=1000 mg\text{Dose} = 40 \text{ mg/kg} \times 25 \text{ kg} = 1000 \
text{ mg}Dose=40 mg/kg×25 kg=1000 mg
Answer: 1000 mg
9. A nurse must administer 600 mg of a drug, and the vial contains 150 mg per 2
mL. How many mL should be given?
✅ Solution:
mL needed=Prescribed doseDose per mL=600 mg150 mg/2 mL=600×2150\text{mL needed} = \
frac{\text{Prescribed dose}}{\text{Dose per mL}} = \frac{600 \text{ mg}}{150 \text{ mg}/2 \
text{ mL}} = \frac{600 \times 2}{150}mL needed=Dose per mLPrescribed dose
=150 mg/2 mL600 mg=150600×2 =1200150=8 mL= \frac{1200}{150} = 8 \text{ mL}=1501200
=8 mL
Answer: 8 mL
10. Convert 1.5 liters to milliliters.
✅ Solution:
1 L=1000 mL1 \text{ L} = 1000 \text{ mL}1 L=1000 mL 1.5×1000=1500 mL1.5 \times 1000 =
1500 \text{ mL}1.5×1000=1500 mL
Answer: 1500 mL
, 11. A patient needs 75 mg of a medication. The vial contains 50 mg per 2 mL. How many mL
should be administered?
✅ Solution:
mL needed=Prescribed doseDose per mL=75 mg50 mg/2 mL=75×250=3 mL\text{mL needed} = \
frac{\text{Prescribed dose}}{\text{Dose per mL}} = \frac{75 \text{ mg}}{50 \text{ mg}/2 \
text{ mL}} = \frac{75 \times 2}{50} = 3 \text{ mL}mL needed=Dose per mLPrescribed dose
=50 mg/2 mL75 mg=5075×2=3 mL
Answer: 3 mL
12. A child weighs 44 lbs, and the doctor prescribes a dose of 5 mg/kg. How many mg should
be given?
✅ Solution:
Convert pounds to kilograms:
Weight in kg=442.2=20 kg\text{Weight in kg} = \frac{44}{2.2} = 20 \text{ kg}Weight in kg=2.244
=20 kg Dose=20×5=100 mg\text{Dose} = 20 \times 5 = 100 \text{ mg}Dose=20×5=100 mg
Answer: 100 mg
13. Convert 250 mL to ounces.
✅ Solution:
1 ounce = 30 mL
25030=8.33 oz\frac{250}{30} = 8.33 \text{ oz}30250=8.33 oz
Answer: 8.33 oz
14. A medication is prescribed at 0.2 g. The available tablets are 50 mg each. How many
tablets are needed?
✅ Solution:
Convert grams to mg:
0.2 g=200 mg0.2 \text{ g} = 200 \text{ mg}0.2 g=200 mg Tablets needed=20050=4 tablets\
text{Tablets needed} = \frac{200}{50} = 4 \text{ tablets}Tablets needed=50200=4 tablets
Answer: 4 tablets
