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Practice problems for healthcare professionals focusing on medication dosage calculations. Covers weight/volume conversions, pediatric dosages, and infusion rates. Each problem provides a detailed solution, ideal for students and practitioners improving skills in patient care. Exercises include converting pounds to kilograms, calculating safe dosages based on weight, determining infusion rates (ml/hr & gtt/min), and unit conversions (grams to kilograms, ounces to pounds). Also includes intake/output calculations for monitoring fluid balance. Designed to enhance understanding and proficiency in dosage calculations, ensuring patient safety and accurate medication administration.
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Order: Biaxin 200 mg p.o. q 12 h for a child who weighs 45 lbs. Have: Biaxin 125 mg per 5 mL Biaxin label states 15 mg/kg/day in two equal doses. Is this dosage safe? - ans-1. Convert lbs to kgs. 45lbs = 20.5 kg
Order: Amoxil 200 mg q 8 h Have: 50 mg/ml Label: 20 to 40 mg/kg/day in divided doses every 8 hours. The patient weighs 10 kg. Is this order safe? - ans-1. First, calculate the minimum and maximum dose per day. The minimum amount would be 200 mg. (20 x 10) The maximum amount would be 400 mg. (40 x 10)
Convert 89 kg to lbs. - ans-195. Order: D5W IV at 125 mL/h Drop factor: 10 gtt/mL Calculate flow rate in gtt/min. - ans-Answer: 21 gtt/min (volume in mL/time in min) x drop factor (125/60) x 10 2.08 x 10 = 20.8 => 21 Convert 2250 g to kg. - ans-2.25 => 2. A child weighs 10 lb 2 oz. What is their weight in kg? - ans-1. First, convert the 2 oz to lbs. 2 oz is 0.1 lbs. This gives you 10.1 lbs.
A patient has a bottle of warfarin (Coumadin) 5 mg tablets at home. After his most recent international normalized ratio (INR), the doctor calls and tells him to take 7.5 mg/day. How many tablets (scored) should the patient take? - ans-1. If your IV bag says 5% dextrose solution, what does the 5% represent? - ans-There are 5 g of dextrose per 100 ml in the bag. Order: NS 0.9% 250 mL IV over the next 4 hours How many mL per hour will you infuse? - ans-Answer: 63 mL/h 250 mL divided by 4 is 62.5. Round to the nearest whole number. Order: Ampicillin 500 mg IV in 50 mL in D5 1/2NS in 30 minutes. What is the infusion rate in mL/h? - ans-Answer: 100 mL/h Divide total mL by total minutes, then multiply by 60. (total mL ordered/total minutes) x 60 minutes (50 mL/30 min) x 60min 1.67 x 60 = 100.2 => 100 mL/h OR Convert 30 min to hours.
Order: Ancef 2 gm IVPB in 100 mL D5W in 45 minutes What is the infusion rate? - ans-Answer: 133 mL/h (100/45) x 60 = 133.3 => 133 You have an IVPB of ranitidine (Zantac) 50 mg in 50 mL D5W to run over 30 minutes. The tubing has a drip factor of 15. How many drops per minute will you set on the IV infusion controller? - ans-Answer: 25 gtt/min (volume in mL/time in min) x drip factor (50/30) x 15 1.67 x 15 = 25.05 => 25 You need to administer 250 mg of erythromycin (Erythrocin) PO. You have on hand 0.5 g tablets. How many tablet(s) will you give? - ans-0. 1 grain = ___ mg - ans-64.8 mg (60) gr. X = _____ mg - ans-Answer: 600 mg In this problem, X represents the roman numeral 10. So, the question is asking how many mg in 10 grains. 1 grain = 60 mg, so 10 grains = 600 mg
1 gm = _____ gr. - ans- 15 2 gm = _____ gr. - ans- 30 Calculate the patients INTAKE during your 12-hour shift. 0800: Two pieces of toast, 2 cups of oatmeal, 8 oz yogurt, 12 oz orange juice, 2 oz grits 1000: Two 8 oz of coffee w/ 2 oz of cream in each 1100: 24 oz of ice chips 1200: IV infusion of Zosyn 50 mL, 2 mL IV push Zofran and 10 cc saline IV flush 1230: house salad, 12 oz soda, three 12 oz popsicles 1400: One pack of red blood cells (250 mL) 1500: 2 mL Morphine and 10 cc saline flush IV 1715: 10 cc saline flush IV 1600 - 1900: Normal Saline IV 100 cc/hr - ans-Intake: 3394 mL Remember, intake is measured in mL. Convert all ounces to mL. 1 oz = 30 mL Also, ice melts to ONE HALF the total ounces. So, 24 ounces of ice melts to 12 ounces. Do NOT count solids like the toast, oatmeal, yogurt, grits, or salad. It has to be liquid at room temp to be counted. 1/4 gr. = _____ mg - ans-Answer: 15 Convert 1/4 to a decimal => 0.25, then solve
x (mL needed) over 3 gr. = 2 mL over 5 gr Solve for x by cross multiplying. Order: Diazepam 5 mg IV for q 6 h for agitation as needed Supply: gr. iss/2mL (the ss has a line over the top) How many mL will you administer per dose? - ans-Answer: 0.1 mL iss(line over the ss) are Roman numerals. i = 1 and ss with a line over them means 1/2 or 0.5. So, if you see iss, it means 1 1/2 or 1.5. So, the supply is 1.5 grains per 2 mL. First, convert the 5 mg to gr. So, 5 mg = 0.08 gr. Set up your equation. I set up my equations by putting what I NEED = to what I am SUPPLIED. x(mL needed) over 0.08 gr. = 2 mL over 1.5 gr. Solve for x by cross multiplying. The patient's output is 2025 mL during your 12-hour shift. If the patient had an intake of 3394 mL, what should you monitor the patient for as the nurse? A. Fluid volume overload B. Dehydration C. These findings are within normal limits. Continue to monitor. - ans-A Order: Morphine 1/8 grains IV q 4 h p.r.n. for pain Supply: 2 mg/mL
How many mL will you administer per dose? - ans-Answer: 3. First, convert 1/8 to a decimal. 1/8 grain = 0.125 grain. Now convert grains to mg. 0.125 grain = 7.5 mg. Set up your equation. I set up my equations by putting what I NEED = to what I am SUPPLIED. x (mL needed) over 7.5 mg = 1 mL over 2 mg Solve for x by cross multiplying. Convert 0.75 to a fraction. - ans-Write down 0.75 divided by 1. (0.75/1) Multiply the top and bottom by 100. You are multiplying by 100 because there are 2 digits after the decimal. If there were only 1 digit, you would multiply by 10. If there were 3 digits, you would multiply by 1000. 4 digits would be 10000 and so on. After multiplying top and bottom by 100, you will have 75 over 100. Now, simplify this by dividing each by 25 (largest number that will go into each evenly). Now, you have 3 over 4, so 0.75 has been converted into the fraction 3/4. Note: If you're not sure what the largest number is that will go into each, just start with the one you know. In this instance you could start with 5 or 25. Just keep reducing until you can no longer divide each one with the same number and still get a whole number. Convert 0.625 to a fraction. - ans-Write down 0.625 over 1. (0.625/1)
One liter NS to infuse over 24 hours using a microdrip (gravity flow). Calculate the flow rate in gtt/min. - ans-Answer: 42 gtt/min Microdrip means 60 gtt 1 liter = 1000 mL (1000/1440) x 60 = 41. Calculate the patient's total urinary output for the shift. The patient has continuous bladder irrigation and a Foley catheter. 0800 - 1000: 3 Liters of bladder irrigation 1000: emptied Foley catheter 3600 mL 1100: 1 Liter of bladder irrigation 1200: 2 Liters of bladder irrigation and emptied 3250 mL from Foley catheter 1300: 1 Liter of bladder irrigation 1400: 1 Liter of bladder irrigation 1500: 1 Liter of bladder irrigation and emptied 3120 mL from Foley Catheter 1600 - 1900: 3 Liters of bladder irrigation 1900: emptied 4200 mL from Foley catheter - ans-Intake: 2170 mL Remember, irrigation in NOT urine. You can not count it. The patient received 3000 mL of irrigation from 0800-1000. When the Foley cath was emptied at 10, there was a total of 3600 mL. 3000 mL of that was irrigation fluid. Only 600 mL was urine and considered output. Your patient's recent PTT is 45. According to protocol, you need to increase the Heparin drip by 2 units/kg/hr and administer 30 units/kg IV bolus. You will recheck the PTT in 6 hours. The patient is currently receiving a Heparin drip at 22 units/kg/hr from a bag that reads 25,
units/250 mL. The patient weighs 129 lbs. How many units will the patient receive as a bolus, and how many units per kilogram per hour will the patient receive based on the new PTT result? - ans-Answer: bolus will be 1758 units, increase drip to 24 units/kg/h Convert 129 lbs to kg => 58.6 kg To calculate the bolus, multiply 58.6 by 30 to get 1758 Your patient has a Heparin drip running at 29 mL/hr. The Heparin bag reads 10,000 units/ 100 mL. How many units per hour is the patient receiving? - ans-Answer: 2900 units/hr There is more than one way to solve this. This is the way easiest for me to understand. First, I want to figure out how many units are in 1 mL. Simply divide 10000 by 100 to get 100 units/mL. We are administering 29 mL/hr. We know each mL has 100 units, so multiply 29 by 100 to get 2900 units/hr. Your patient has a Heparin drip running at 24 mL/hr. The Heparin bag reads 12,500 units/ mL. How many units per hour is the patient receiving? - ans-Answer: 1200 units/hr There is more than one way to solve this. This is the way easiest for me to understand. First, I want to figure out how many units are in 1 mL. Simply divide 12,500 by 250 to get 50 units/mL. We are administering 24 mL/hr. We know each mL has 50 units, so multiply 24 by 50 to get 1200 units/hr.
Intake and output is measured in mL. Convert ounces to mL. 1 oz = 30 mL Stool from an ileostomy is usually mostly liquid. Count it as output. Your patient's recent PTT is 42. According to protocol, you need to increase the Heparin drip by 2 units/kg/hr and administer 30 units/kg IV bolus. You will recheck the PTT in 6 hours. The patient is currently receiving a Heparin drip at 16 units/kg/hr from a bag that reads 25, units/250 mL. The patient weighs 163 lbs. How many units will the patient receive as a bolus, and what will you change the flow rate to (mL/hr)? - ans-Answer: bolus is 2,223 units, new flow rate 18 units/hr Convert 163 lbs to kg => 74.1 kg To calculate the bolus, multipy 74.1 by 30 => 2,223 units 1 Dram = _____ mL - ans- 4 How many ounces are in a pint? - ans- 16 How many pints are in a quart? - ans- 2 How many mL in a pint? - ans-Answer: 480 (500) 16 oz x 30 mL = 480, but study materials say 500 Convert 0.3 g to mg. - ans-Answer: 300 mg
Since milli means 1000, just move the decimal 3 spots to the right. Or, set up an equation as follows: We know 1 g = 1000 mg. 1 g/1000 mg = 0.3 g/x Solve for x by cross mulitiplying. Convert 3 L to mL. - ans-Answer: 3000 mL Since milli means 1000, just move the decimal 3 spots to the right. Or, set up an equation as follows: We know 1 L = 1000 mL. 1 L/1000 mL = 3 L/x Solve for x by cross multiplying. How would you write 1000 mg/1 g as a ratio? - ans-1000 mg : 1 g What is the BMI for Mr. Jones weighing 210 lbs with a height of 6 feet, 3 inches? - ans-Answer: 26.3 kg/m Convert lbs to kg. 220 lbs = 95.45 kg Convert height to meters.
Equivalent to 250 mcg carboprost INTRAMUSCULAR USE ONLY (purple type) Refrigerate at 2 degrees to 8 degrees celcius What is the trade name, generic name, dosage strength, total volume, directions for use, and storage instructions? Look up labels online and practice! - ans-Trade name: Hemabate Generic name: carboprost tromethamine Dosage strength: 250 mcg per mL Total volume: 1 mL Directions for use: intramuscular use only Storage instructions: refrigerate at 2 degrees to 8 degrees celcius http://www.cwladis.com/math104/lecture3.php Scroll down to find some examples on reading labels. - ans- What is 3:00 P.M. in military time? - ans- 1500 What is 0030 in regular time? - ans-12:30 A.M.