## Microsoft word - sample calculation problems 0806.doc

**Sample Medication Calculation Problems **
**(Need practice with IV calculations? Scroll farther down for IV **
**Calculation Problems) **
Do as many or as few as you need to increase your confidence in nursing calculations

**Problem #1 **
Your 4 year old pediatric patient weight 40 pounds. She is febrile. You need to

administer acetaminophen (Tylenol) 15mg/kg. How many mg will you administer?

**(answer on next page) **
**Problem #2 **
The acetaminophen (Tylenol) packages come in liquid form 160 mg/5 mL. How many

mL will you administer to your 40 pound patient?

**(answer on next page) **

**Problem #3 **
Your patient has an order for terbutaline (Brethine) 0.25 mg subcut. The pharmacy

delivers a syringe with 1mg/mL. How much will you

**waste** in order to give the correct

dose?

**(answer on next page) **

**Problem #4 **
Your hospice patient has an order for 7.5 mg of oxycodone (OxyContin) q 6

hours PRN. The tablets provided are 15 mg tablets. How many tablets will you

give for each dose?

**(answer on next page) **

**Problem # 5 **
You receive an order for 60 mg of meperidine (Demerol) IM for your post surgical

patient. The injectible syringe is pre-packaged with 75 mg/ mL. How much will

you administer?

**(answer on next page) **

**Problem #6 **
Your patient has been receiving digoxin (Lanoxin)125 mcg Q AM. Today his doctor writes a new order:
How many 125 mcg tablets will you administer?

**(answer on next page) **
**Problem #7 **
Your patient has an order for vasopressin (Pitressin) 5 units subcut TID
You have on hand a 0.5 mL vial labeled 20 units/mL

**(answer on next page) **

**Answer to Problem #1 **

First convert 40 pounds into kilograms.

**Method #1: Ratio Proportion **
**Method #2: Formula Method **
2.2x = 40

x = 18.18 kg

Since you will administer 15mg of acetaminophen per 1 kg, you should multiply

15mg with the weight of 18.18 kg.

15mg x 18.18kg = 272.7.

**You will administer 272.7 mg. **

**Answer to Problem #2 **

(You know you need 272.7 mg from the previous question)

**Method #1: Ratio Proportion **
**Method #2: Formula Method **
160 x = 1363.5

x = 8.521875 mL

Round. You will administer 8.5 mL.

**You will administer 8.5 mL. **

** **

Answer to Problem #3

**Method #1: Ratio Proportion **
**Method #2: Formula Method **
Since you are given a syringe with 1 mg/mL and you only need 0.25 mg, then

you also just need 0.25 mL. You need to dispose (waste) 0.75 mL when the

syringe is filled 1 mL and then administer the rest of the syringe to the patient.

**You will waste 0.75 mL. **
** **

Answer to Problem #4

**Method #1: Ratio Proportion **
**Method #2: Formula Method **
**x = 0.5 tablet **
**You will administer one-half a tablet**.

** **

**Answer to Problem #5 **

**Method #1: Ratio Proportion **
**Method #2: Formula Method **
75 x = 60

**x = 0.8 mL **
** **

*You will administer 0.8 mL. *

** **

Answer to Problem #6

**Method #1: Ratio Proportion **
**Method #2: Formula Method **
**x= 2 tablets **
x = .0.25/0.125

**x = 2 tablets **
**You will administer 2 tablets. **

** **

**Answer to Problem #7 **

**Method #1: Ratio Proportion **
**Method #2: Formula Method **
**x= 0.25 mL **
x = 5/20

**x = 0.25 mL **
**You will administer 0.25 mL of vasopressin****. **

Remember, the amount in the vial (in this case 0.5 mL) does not enter into the

calculation. The important point is the concentration (the amount of drug per

mL).

**IV Calculations **
** **

**IV Problem #1 **

Your patient has an IV ordered to be delivered at a rate of 150mL/ hr. Your infusion set

delivers 15 gtt (drops)/mL. How many drops per minute will you set the IV for?

**(answer on next page) **

**IV Problem #2 **

Your patient has an IV ordered to be delivered at 75mL/hr. The infusion set delivers 10

gtt (drops)/mL. How many drops per minute will you set the IV for?

**(answer on next page) **

** **

** **

IV problem #1

Rationale:

Volume to be infused (mL) x drip rate = # gtt/min 60 minutes

150 x 15 = 2250 = 37.5; or round to

**38 drop per minute** 60

OR

**60-minute Clock Method **

¦ 10 gtts/mL

** 15 gtts/mL **
**60 divided by 15 = 4 **
**Divide mL/hr by 4. **
that with a 60 gtts/mL drip set, the number of mL/hr = the number of gtts/min)

150 = 37.5; round to

**38 drops per minute** 4

**IV problem #2 **

75 x 10 = 750 = 12.5; round to

**13 drops per minute** 60 60

**60-minute Clock Method **

¦

** 10 gtts/mL **
**60 divided by 10 = 6 **
**Divide mL/hr by 6 **
that with a 60 gtts/mL drip set, the number of mL/hr = the number of gtts/min)

** **

75 = 12.5; round to

**13 drops per minute** 6

** **

Source: http://www.nursezone.com/shared/images/articles/sample%20calculation%20problems.pdf

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