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Practice Set 2 - Wrap-Up Challenge

Instructions

This set simulates a real clinical competency exam.

  • Problems are in random mixed order with no topic labels
  • Numbers are harder than Set 1
  • No hints are given
  • Attempt every problem before revealing the answer
  • Aim for 90% or higher (23 out of 25 correct)

Challenge Yourself

Do not reveal answers until you have committed to your solution in writing. The goal is to identify gaps before clinical practice — not after.


Problem 1

Order: atenolol 12.5 mg orally Stock: 25 mg per tablet How many tablets?

Answer
\[\frac{12.5 \cancel{\text{ mg}}}{1} \times \frac{1 \text{ tablet}}{25 \cancel{\text{ mg}}} = 0.5 \text{ tablet}\]

Verify tablet is scored before splitting.


Problem 2

Order: 750 mL 0.9% NaCl over 6 hours What is the flow rate in mL/hr?

Answer
\[\frac{750 \text{ mL}}{6 \text{ hr}} = 125 \text{ mL/hr}\]

Problem 3

Order: tobramycin 2.5 mg/kg IV Patient weight: 198 lb Stock: 40 mg/mL How many mL?

Answer

Convert weight: [198 \cancel{\text{ lb}} \times \frac{1 \text{ kg}}{2.2 \cancel{\text{ lb}}} = 90 \text{ kg}]

Full chain: [\frac{90 \cancel{\text{ kg}}}{1} \times \frac{2.5 \cancel{\text{ mg}}}{1 \cancel{\text{ kg}}} \times \frac{1 \text{ mL}}{40 \cancel{\text{ mg}}} = 5.625 \text{ mL}]

Round to: 5.6 mL


Problem 4

Convert 0.375 g to mcg.

Answer
\[0.375 \cancel{\text{ g}} \times \frac{1000 \cancel{\text{ mg}}}{1 \cancel{\text{ g}}} \times \frac{1000 \text{ mcg}}{1 \cancel{\text{ mg}}} = 375{,}000 \text{ mcg}\]

Problem 5

Order: clarithromycin 0.5 g orally Stock: 250 mg/5 mL How many mL?

Answer
\[\frac{0.5 \cancel{\text{ g}}}{1} \times \frac{1000 \cancel{\text{ mg}}}{1 \cancel{\text{ g}}} \times \frac{5 \text{ mL}}{250 \cancel{\text{ mg}}} = 10 \text{ mL}\]

Problem 6

Order: 500 mL over 35 minutes What is the flow rate in mL/hr?

Answer

Convert time: [35 \cancel{\text{ min}} \times \frac{1 \text{ hr}}{60 \cancel{\text{ min}}} = 0.583 \text{ hr}]

Rate: [\frac{500 \text{ mL}}{0.583 \text{ hr}} = 857.6 \text{ mL/hr}]

Round to: 858 mL/hr

Verify This Rate

Rates above 500 mL/hr are unusual. Verify the order before programming the pump.


Problem 7

Order: amoxicillin 30 mg/kg/day orally divided every 8 hours Patient: child weighing 16 kg Stock: 200 mg/5 mL How many mL per dose?

Answer

Total daily dose: [16 \cancel{\text{ kg}} \times \frac{30 \text{ mg}}{1 \cancel{\text{ kg}}} = 480 \text{ mg/day}]

Single dose (3 doses/day): [480 \div 3 = 160 \text{ mg per dose}]

Volume: [\frac{160 \cancel{\text{ mg}}}{1} \times \frac{5 \text{ mL}}{200 \cancel{\text{ mg}}} = 4 \text{ mL}]


Problem 8

Order: heparin 1800 units/hr IV Stock: 25,000 units in 250 mL 0.9% NaCl What is the flow rate in mL/hr?

Answer

Concentration: [\frac{25{,}000 \text{ units}}{250 \text{ mL}} = 100 \text{ units/mL}]

Flow rate: [\frac{1800 \text{ units/hr}}{100 \text{ units/mL}} = 18 \text{ mL/hr}]


Problem 9

A 1000 mL bag starts at 2130 running at 80 mL/hr. What time will it complete?

Answer

Infusion time: [\frac{1000 \text{ mL}}{80 \text{ mL/hr}} = 12.5 \text{ hr}]

Convert decimal: [0.5 \times 60 = 30 \text{ min}]

Completion time: [2130 + 12 \text{ hr } 30 \text{ min} = 1000 \text{ next day}]

Completes at 1000 the following morning.


Problem 10

Order: digoxin 0.125 mg orally Stock: 62.5 mcg per tablet How many tablets?

Answer
\[\frac{0.125 \cancel{\text{ mg}}}{1} \times \frac{1000 \cancel{\text{ mcg}}}{1 \cancel{\text{ mg}}} \times \frac{1 \text{ tablet}}{62.5 \cancel{\text{ mcg}}} = 2 \text{ tablets}\]

Problem 11

Order: 1000 mL Lactated Ringer's over 12 hours Tubing: 15 gtt/mL What is the drip rate in gtt/min?

Answer

Convert time: [12 \times 60 = 720 \text{ min}]

Calculate: [\frac{1000 \text{ mL}}{720 \text{ min}} \times 15 \text{ gtt/mL} = 20.8 \text{ gtt/min}]

Round to: 21 gtt/min


Problem 12

Order: morphine 0.08 mg/kg IV PRN Patient weight: 187 lb Stock: 5 mg/mL How many mL? Round to nearest hundredth.

Answer

Convert weight: [187 \cancel{\text{ lb}} \times \frac{1 \text{ kg}}{2.2 \cancel{\text{ lb}}} = 85 \text{ kg}]

Full chain: [\frac{85 \cancel{\text{ kg}}}{1} \times \frac{0.08 \cancel{\text{ mg}}}{1 \cancel{\text{ kg}}} \times \frac{1 \text{ mL}}{5 \cancel{\text{ mg}}} = 1.36 \text{ mL}]


Problem 13

Convert 4.5 L to mL.

Answer
\[4.5 \cancel{\text{ L}} \times \frac{1000 \text{ mL}}{1 \cancel{\text{ L}}} = 4500 \text{ mL}\]

Problem 14

Order: dopamine 8 mcg/kg/min IV Patient weight: 75 kg Stock: dopamine 800 mg in 500 mL D5W What is the flow rate in mL/hr?

Answer

Dose per minute: [75 \cancel{\text{ kg}} \times \frac{8 \text{ mcg}}{1 \cancel{\text{ kg}} \cdot \text{min}} = 600 \text{ mcg/min}]

Convert to mg/hr: [600 \cancel{\text{ mcg/min}} \times \frac{1 \cancel{\text{ mg}}}{1000 \cancel{\text{ mcg}}} \times \frac{60 \text{ min}}{1 \text{ hr}} = 36 \text{ mg/hr}]

Concentration: [\frac{800 \text{ mg}}{500 \text{ mL}} = 1.6 \text{ mg/mL}]

Flow rate: [\frac{36 \text{ mg/hr}}{1.6 \text{ mg/mL}} = 22.5 \text{ mL/hr}]

Round to: 23 mL/hr


Problem 15

Order: ibuprofen 10 mg/kg orally, max 400 mg Patient: child weighing 48 kg Stock: 100 mg/5 mL How many mL?

Answer

Calculated dose: [48 \cancel{\text{ kg}} \times \frac{10 \text{ mg}}{1 \cancel{\text{ kg}}} = 480 \text{ mg}]

480 mg exceeds max of 400 mg — use 400 mg

Volume: [\frac{400 \cancel{\text{ mg}}}{1} \times \frac{5 \text{ mL}}{100 \cancel{\text{ mg}}} = 20 \text{ mL}]


Problem 16

A 750 mL bag started at 0730 running at 125 mL/hr. It is now 1130. How much fluid remains and what time will the infusion complete?

Answer

Time elapsed: [1130 - 0730 = 4 \text{ hr}]

Volume infused: [125 \text{ mL/hr} \times 4 \text{ hr} = 500 \text{ mL}]

Volume remaining: [750 - 500 = 250 \text{ mL}]

Time remaining: [\frac{250 \text{ mL}}{125 \text{ mL/hr}} = 2 \text{ hr}]

Completion time: [1130 + 2 \text{ hr} = 1330]

Completes at 1330 (1:30 PM).


Problem 17

Order: vancomycin 20 mg/kg IV over 90 minutes Patient weight: 220 lb Stock: 500 mg/10 mL What is the total dose in mg and the flow rate in mL/hr?

Answer

Convert weight: [220 \cancel{\text{ lb}} \times \frac{1 \text{ kg}}{2.2 \cancel{\text{ lb}}} = 100 \text{ kg}]

Total dose: [100 \cancel{\text{ kg}} \times \frac{20 \text{ mg}}{1 \cancel{\text{ kg}}} = 2000 \text{ mg}]

Volume to infuse: [\frac{2000 \cancel{\text{ mg}}}{1} \times \frac{10 \text{ mL}}{500 \cancel{\text{ mg}}} = 40 \text{ mL}]

Convert time: [90 \cancel{\text{ min}} \times \frac{1 \text{ hr}}{60 \cancel{\text{ min}}} = 1.5 \text{ hr}]

Flow rate: [\frac{40 \text{ mL}}{1.5 \text{ hr}} = 26.7 \text{ mL/hr}]

Round to: 27 mL/hr


Problem 18

Order: gentamicin 6 mg/kg/day IV divided every 8 hours Patient weight: 66 kg Stock: 10 mg/mL How many mL per dose?

Answer

Total daily dose: [66 \cancel{\text{ kg}} \times \frac{6 \text{ mg}}{1 \cancel{\text{ kg}}} = 396 \text{ mg/day}]

Single dose (3 doses/day): [396 \div 3 = 132 \text{ mg per dose}]

Volume: [\frac{132 \cancel{\text{ mg}}}{1} \times \frac{1 \text{ mL}}{10 \cancel{\text{ mg}}} = 13.2 \text{ mL}]


Problem 19

Order: 500 mL over 4 hours Tubing: 10 gtt/mL What is the drip rate in gtt/min?

Answer

Convert time: [4 \times 60 = 240 \text{ min}]

Calculate: [\frac{500 \text{ mL}}{240 \text{ min}} \times 10 \text{ gtt/mL} = 20.8 \text{ gtt/min}]

Round to: 21 gtt/min


Problem 20

An IV is running at 40 mL/hr. Stock: heparin 25,000 units in 500 mL What dose is the patient receiving per hour?

Answer

Concentration: [\frac{25{,}000 \text{ units}}{500 \text{ mL}} = 50 \text{ units/mL}]

Dose rate: [40 \text{ mL/hr} \times 50 \text{ units/mL} = 2000 \text{ units/hr}]


Problem 21

Order: prednisolone 2 mg/kg/day orally divided every 12 hours Patient: child weighing 14 kg Stock: 5 mg/5 mL solution How many mL per dose?

Answer

Total daily dose: [14 \cancel{\text{ kg}} \times \frac{2 \text{ mg}}{1 \cancel{\text{ kg}}} = 28 \text{ mg/day}]

Single dose (2 doses/day): [28 \div 2 = 14 \text{ mg per dose}]

Volume: [\frac{14 \cancel{\text{ mg}}}{1} \times \frac{5 \text{ mL}}{5 \cancel{\text{ mg}}} = 14 \text{ mL}]


Problem 22

Order: morphine 4 mg/hr IV continuous Stock: morphine 100 mg in 500 mL 0.9% NaCl What is the flow rate in mL/hr?

Answer

Concentration: [\frac{100 \text{ mg}}{500 \text{ mL}} = 0.2 \text{ mg/mL}]

Flow rate: [\frac{4 \text{ mg/hr}}{0.2 \text{ mg/mL}} = 20 \text{ mL/hr}]


Problem 23

Order: 1000 mL over 10 hours After 6 hours only 500 mL has infused. 500 mL remains with 4 hours left. What rate is needed to complete on time? Is this within the 25% adjustment guideline?

Answer

Required rate: [\frac{500 \text{ mL}}{4 \text{ hr}} = 125 \text{ mL/hr}]

Original rate: [\frac{1000 \text{ mL}}{10 \text{ hr}} = 100 \text{ mL/hr}]

Percentage increase: [\frac{125 - 100}{100} \times 100 = 25\%]

Exactly 25% — at the limit of the guideline. Consult the prescriber before adjusting.


Problem 24

Convert 2 tbsp to mL then to L.

Answer

tbsp to mL: [2 \cancel{\text{ tbsp}} \times \frac{15 \text{ mL}}{1 \cancel{\text{ tbsp}}} = 30 \text{ mL}]

mL to L: [30 \cancel{\text{ mL}} \times \frac{1 \text{ L}}{1000 \cancel{\text{ mL}}} = 0.03 \text{ L}]


Problem 25

Safe dose range: 15-30 mg/kg/day Order: amoxicillin 20 mg/kg/day divided every 8 hours Patient: child weighing 27 kg Stock: 250 mg/5 mL Is the dose safe? If yes, how many mL per dose?

Answer

Minimum safe dose: [27 \text{ kg} \times 15 \text{ mg/kg} = 405 \text{ mg/day}]

Maximum safe dose: [27 \text{ kg} \times 30 \text{ mg/kg} = 810 \text{ mg/day}]

Ordered dose: [27 \text{ kg} \times 20 \text{ mg/kg} = 540 \text{ mg/day}]

540 mg/day is between 405 and 810 mg/day ✅ Dose is safe.

Single dose (3 doses/day): [540 \div 3 = 180 \text{ mg per dose}]

Volume: [\frac{180 \cancel{\text{ mg}}}{1} \times \frac{5 \text{ mL}}{250 \cancel{\text{ mg}}} = 3.6 \text{ mL}]


How Did You Do?

  • 23-25 correct — excellent, you are ready for clinical practice
  • 20-22 correct — good, review the topics you missed and retry
  • Below 20 — return to the relevant modules for review

Remember

Clinical competency requires 90% or higher — 23 out of 25 correct. If you are not there yet, that is what review is for. Keep practicing.