Peds Math...help!

Nursing Students Student Assist

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We have to take a medication math test the first day of each new class (starts next week). I have a study guide of practice problems and I'm really struggling with most of the questions. I usually do okay with math but there are so many distractors in these questions I don't even know to start. I'm going to post 2 examples and ANY help explaining how to get the correct answer would be greatly appreciated!

1. Cefotaxime (Claforan) 900 mg IV Q 6 hours in 25 mL D5 1/2 NS for a 5 y/o child weighing 18 kg.

Safe dose = 50-200 mg/kg/day given Q 6 hours.

Concentration = 50 mg/mL IV over 30 min

Stock = 1 Gm powder

Directions = Dilute with 10 mL sterile water for injection to make 95 mg/mL. Stable in refrigerator 10 days.

Calculate the amount needed. Is the dose safe?

2. Gentamicin 45 mg IV q8h for a child weighing 45 lb. The recommended dosage is 6 to 7.5 mg/kg/day in three to four divided dosages.

What is the safe 24-hour dosage range for this child?

What is the divided dosage range?

Look at the 1st part of number 1... the question is how man mLs would you need to add to equal 900 mg.. you already know the stock concentration is 95 mg/mL.. then it's just simple math (you should be able to quickly spot that if there are 1000 mg in 10 mL then the correct answer for 900 mg should be somewhere between 9 - 10 mLs before you even begin the math).

second part... to find the safe range simply multiply the low range number and the high range number by the weight... this is the range for the entire 24 hour period (not each dose).. so you would ask yourself does this dose fall within this range AND does the total for all doses ordered within a 24 hour period fall within this range.

question 2 first part -- exactly the same as above

second part -- to find the amount for the divided doses do exactly like it sounds.. take the dose range and (both high and low) and divide by the number of desired doses.. (3 & 4).

Don't make it harder than it needs to be :) Best of luck.

Specializes in NICU, PICU, PACU.

They give you a lot of info, you need to pick out what you need.

Desired dose divided by weight gives you how much per kilo. If it is per DOSE this is your answer, if it is per DAY multiply the answer by how many times per day you are going to give it. This gives you mg/kg/day.

You just have to weed out the numbers you need.

So go ahead and show us your work.

...you already know the stock concentration is 95 mg/mL.. then it's just simple math (you should be able to quickly spot that if there are 1000 mg in 10 mL then the correct answer for 900 mg should be somewhere between 9 - 10 mLs before you even begin the math).

The initial concentration after reconstitution is 95 mg/ml. As the final concentration (50 mg/ml) for the infusion was included in the information provided to the OP, this is not necessary to solve the problem and is included only as a distractor.

The initial concentration after reconstitution is 95 mg/ml. As the final concentration (50 mg/ml) for the infusion was included in the information provided to the OP, this is not necessary to solve the problem and is included only as a distractor.

Yeah - thank you -- sometimes difficult to remember some pieces of the information when you have to keep scrolling up and down when typing a response :)

The question is, is the dose as prescribed and prepared a safe dose? All you need to do is take the safe range per kg (50 to 200 mg), multiply it by the number of kg (18) to get the 24-hour min and max doses. To get the q6h dose, divide the 24-hr dose by four. Is the prescribed and prepared dose within the safe range? Yes or no?

Is this 900 mg in 25cc safe? Is it less than the recommended 50mg/ml? Yes or no?

Since as as given I can't tell whether the question was asking how many cc of the reconstituted drug was needed: Now draw up the 900mg (you know it's 95 mg/cc, so you can figure out how much is 900 mg). The other info is not necessary to answer this.

Same c the second problem.

There are a lot of distractors in ped med math questions. Just remember the calculation method you chose (Ration:porportion or formula) and break it down the same way you always have. The only new information in peds is that meds are based on weight in kilograms. Everything else is the same.

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