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Complex Math - Math practice questions
Mathematics (-)
Roxbury Community College
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Complex / Doris Turner Med Math Questions
- Problem type: IV infusion rate + infusion pump Medication: azithromycin
PROBLEM
Suppose Mrs. Turner’s orders call for 500 mg of azithromycin to be administered intravenously for communityacquired pneumonia. The solution has been diluted to a concentration of 2 mg/mL and needs to be administered over 1 hour.
At what rate should the infusion pump be set?
HINT
Start by figuring out how many milliliters will be needed to administer the ordered dose.
SAMPLE SOLUTION
- Determine how many milliliters of the concentration will be delivered to administer the ordered dose.
500 mg x 1 mL = 250 mL 2 mg
- Divide the total number of mL needed to deliver the 500 mg by the expected duration of 1 hour.
250 mL = 250 mL/hr 1 hr
ANSWER
Number: 250 Units / Rate: mL/hr
- Problem type: Dosage calculation + Stock on hand Medication: venlafaxine
PROBLEM
Mrs. Turner’s daily medications include venlafaxine extendedrelease, 150 mg, by mouth, once a day. However, the hospital pharmacy only carries 75 mg extendedrelease tablets.
How many tablets of venlafaxine extendedrelease should be administered to her?
HINT
You can use the equation below, where X is the number of tablets that should be administered.
D (ordered dose) x Quantity = X H (dose on hand)
SAMPLE SOLUTION
1. Determine what information you have.
D (ordered dose) = 150 mg H (dose on hand) = 75 mg Q (quantity) = 1 tablet
2. Plug into the equation and solve.
D (150 mg) x 1 tablet = X H (75 mg)
X = 2 tablets
ANSWER
Number: 2 Units: tablets
4. Problem type: Total daily dose calculation Medication: acetaminophen @ hospital
PROBLEM
Suppose Mrs. Turner’s current temperature is 100 F. For temperatures greater than 100 F, the prescriber’s order allows acetaminophen, 325 mg, 2 tabs, by mouth, every 6 hours. Assume that on her first day of hospitalization, Mrs. Turner’s temperature is greater than 100 F three times.
How many grams of acetaminophen will she have ingested on her first day of hospitalization? Round your answer to hundredths.
HINT
Multiply the number of taken doses by the number of tablets.
SAMPLE SOLUTION
1. Multiply the number of doses taken by the number of tablets per dose.
3 doses x 2 tablets = 6 tablets 1 dose
2. Multiply the dosage of acetaminophen by the number of tablets.
6 tablets x 325 mg = 1950 mg 1 tablet
3. Convert the total daily milligrams to grams.
1950 mg x 1 g = 1 g 1000 mg
ANSWER
Number: 1 Units: g
5. Problem type: Dosage calculation + Stock on hand Medication: potassium chloride
PROBLEM
Mrs. Turner’s daily medications include potassium chloride, 10 mEq tablet by mouth once daily. The hospital pharmacy will dispense potassium chloride liquid 10% (1 gram or 20 mEq per 15 mL). The KCl liquid will be further diluted in a 6 oz glass of water or juice for administration.
What volume of the KCl 10% liquid should be used for Mrs. Turner’s usual daily dose?
HINT
Multiply the desired dose by the concentration.
SAMPLE SOLUTION
1. Multiply the desired dose by the concentration.
10 mEq x 15 mL = 7 mL of KCl 10% liquid day 20 mEq day
ANSWER
Number: 7 Units: mL / day
7. Problem type: Dosage calculation + weightbased dosage Medication: azithromycin @ hospital hypothetical
According to the Davis’s Drug Guide, children sixmonthsold or younger with communityacquired pneumonia can be administered azithromycin orally using a weightbased dosage. Children in this age group can receive 10 mg/kg on the first day, then 5 mg/kg for four more days. Assume you need to administer this to a child weighing 20 lbs.
What is the total dose of azithromycin the child will receive over five days? Round your answer to the nearest whole number.
HINT
Convert pounds to kilograms, and multiply the weight by the dosage.
SAMPLE SOLUTION
1. Convert pounds (lbs) to kilograms (kg).
20 lbs x 1 kg = 9 kg 2 lb
2. Multiply the first day’s dosage by weight in kg.
10 mg x 9 kg = 92 mg kg
3. Multiply the dosage given for days 25 by weight in kg, and multiply by the number of days administered (4).
9 kg x 5 mg x 4 = 184 mg kg
4. Add the results from steps 2 and 3.
92 mg + 184 mg = 276 mg, rounded to 277 mg
ANSWER
Number: 277 mg Units: mg
8. Problem type: Unit conversation + stock on hand Medication: levothyroxine @ hospital
Mrs. Turner’s orders called for 50 mcg of levothyroxine, by mouth, daily. The pharmacy stocks the medication in 0 mg tablets.
How many tablets are needed to administer the ordered dose?
HINT
Start by converting 50 mcg to mg. Then use the equation below, where X is the number of tablets that should be administered.
D (ordered dose) x Quantity = X H (dose on hand)
SAMPLE SOLUTION
1. Convert micrograms (mcg) to milligrams (mg).
50 mcg x 1 mg = 0 mg 1000 mcg
2. Determine what information you have.
D = 0 mg H = 0 mg Q = 1 tablet
3. Plug into the equation and solve.
D (0 mg) x 1 tablet = X H (0 mg)
X = 2 tablets
ANSWER
Number: Units: tablets
10. Problem type: Dosage calculation Medication: Insulin aspart @ hospital hypothetical
The provider ordered insulin aspart on a sliding scale for 1 unit/10 g CHO subcutaneous + 1 unit/50 points above 150 BG. Mrs. Turner will eat a meal that contains 40 g CHO and has a premeal BG level of 160.
How many units of insulin should be administered?
HINT
Add the units calculated from the sliding scale to the units necessary for the patient’s current BG level.
SAMPLE SOLUTION
1. Perform the sliding scale calculation (1 unit/10g CHO).
40 g CHO x 1 unit = 4 units 10 g CHO
2. Subtract 150 from Mrs. Turner’s premeal BG.
160 BG 150 BG = 10 points
3. Multiply 10 points by the number of units per 50 points.
10 points x 1 unit = 0 units 50 points
Round down to the next whole unit = 0 unit
4. Add the units from the sliding scale to the additional units needed for every 50 points above 150 BG.
4 units + 0 unit = 4 units
ANSWER
Number: 4 Units: units
11. Problem type: Unit conversion + orders correction Medication: levothyroxine @ hospital hypothetical
Suppose Mrs. Turner’s provider writes a revised order of 25 mg of her daily levothyroxine. Given that her original order was in micrograms, you suspect this new order contains an error. You take the appropriate measures to get the orders corrected in order to avoid administering an overdose.
If the error had not been caught, how many times more levothyroxine would have been given?
HINT
Start by converting 25 mg to micrograms.
SAMPLE SOLUTION
1. Convert milligrams (mg) to micrograms (mcg).
25 mg x 1000 mcg = 25,000 mcg 1 mg
2. Divide the incorrect mcg dosage by correct mcg dosage.
25,000 mcg = 1000 25 mcg
ANSWER
Number: 1000 Units: times overdose
13. Problem type: IV flow rate + drop factor Medication: azithromycin @ hospital hypothetical
On the second day of hospitalization, Mrs. Turner’s orders call for 500 mg of azithromycin to be delivered in a 250 mL IV solution over 3 hours. The dose will be delivered using IV tubing with a drop factor of 10 (10 gtt (drops) = 1 mL).
What is the appropriate rate of flow for the IV in drops per minute? Round your answer to the nearest whole number.
HINT
Start by determining how many mL will be delivered per minute.
SAMPLE SOLUTION
1. Divide the total number of mL needed to deliver the 500 mg dilution by the expected duration, converting hours to minutes.
250 mL x 1 hr = 1 mL/min 3 hr 60 min
2. Multiply the mL / min by the drop factor and round to the nearest whole number.
1 mL x 10 gtt = 13 gtt / min 1 min 1 mL
Round your answer to the nearest whole number = 14 gtt / min
ANSWER
Number: 14 Units: gtt / min
14. Problem type: Correct days’ supply Medication: Insulin @ primary care hypothetical
Mrs. Turner is prescribed insulin aspart, 16 units, SC TID at mealtimes. When Mrs. Turner returns home, the provider would like to switch her mealtime insulin administration to a pen delivery device instead of insulin syringes. The provider will keep the same dose. Assume that Mrs. Turner eats three meals a day.
If the pen cartridges contain 3 mL of U100 insulin aspart, how often will Doris need to replace the cartridge? Round your answer down to the nearest whole day.
HINT
U100 insulin contains 100 units / 1 mL.
SAMPLE SOLUTION
- Multiply the number of units by the number of meals each day.
16 units x 3 meals = 48 units of insulin aspart meal day day
2. Multiply the concentration of U100 insulin by the volume of a cartridge.
100 units x 3 mL = 300 units mL cartridge cartridge
3. Multiply the result from step 2 by the number of units per day, so that the units cancel.
300 units x 1 day = 6 days / cartridge, rounded to 6 days cartridge 48 units
ANSWER
Number: 6 Units: days
Complex Math - Math practice questions
Course: Mathematics (-)
University: Roxbury Community College
