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NU 215 Maths Competency Exam

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Total Questions : 19

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Question 1:

At 2 P.M. 600 mL of D10W remains to infuse at 50 drops/min. The drop factor of the administration set is 15 drops/ml. What time will the infusion be complete?

Answer and Explanation
Correct Answer: "5" P.M.

Explanation

Calculation:

  • Calculate the total drops to infuse.

Total drops = Volume to infuse (mL) x Drop factor (drops/mL)

= 600 mL x 15 drops/mL

= 9000 drops.

  • Calculate the total infusion time in minutes.

Total time (min) = Total drops / Infusion rate (drops/min)

= 9000 drops / 50 drops/min

= 180 minutes.

  • Convert the total infusion time from minutes to hours.

Total time (hr) = Total time (min) / 60 minutes/hr

= 180 minutes / 60 minutes/hr

= 3 hours.

  • Determine the completion time.

Completion time = Start time + Infusion time

= 2 P.M. + 3 hours

= 5 P.M.


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Question 2:

The physician orders 1000 mL D5 1⁄2 NS to infuse at 60 drops/min. The drop factor of the administration set is 20 drops/mL. Calculate the time the infusion will require in hours and minutes.use a comma to separate the hour and minutes

Answer and Explanation
Correct Answer: "5","33" minutes

Explanation

Calculation:

  • Calculate the total drops to infuse.

Total drops = Volume to infuse (mL) x Drop factor (drops/mL)

= 1000 mL x 20 drops/mL

= 20,000 drops.

  • Calculate the total infusion time in minutes.

Total time (min) = Total drops / Infusion rate (drops/min)

= 20,000 drops / 60 drops/min

= 333.33 minutes.

  • Convert the total infusion time from minutes to hours and minutes.

333.33 minutes / 60 minutes/hr

= 5.55 hours

This is 5 full hours.

To get the remaining minutes, multiply the decimal part by 60:

0.55 hours x 60 minutes/hr

= 33 minutes.

The infusion will require 5 hours and 33 minutes.


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Question 3:

The physician orders 1000 mL D5W with 1/4NS to infuse in 8 hours. The drop factor of the administration set is 15 drops/mL. Calculate the number of drops/min you would administer.

Answer and Explanation
Correct Answer: "31.25" drops/min.

Explanation

Total volume = 1000 mL.

  • Convert the total infusion time from hours to minutes.

Total time = 8 hours

= 8 hours x 60 minutes/hour

= 480 minutes.

Drop factor = 15 drops/mL.

  • Calculate the infusion rate in drops per minute (drops/min).

Infusion rate (drops/min) = (Total volume (mL) x Drop factor (drops/mL)) / Total time (min)

= (1000 mL x 15 drops/mL) / 480 min

= 15,000 drops / 480 min

= 31.25 drops/min.


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Question 4:

ORDER: 1000 mL NS with 20 mEq KCI to infuse in 7 hours. DROP FACTOR: 15 gtt/mL. CALCULATE: mL/hr for infusion on an electronic infusion device. Round to the tenths.

Answer and Explanation
Correct Answer: "142.9" mL/hr

Explanation

Calculation:

Total volume = 1000 mL.

Total infusion time = 7 hours.

  • Calculate the infusion rate in milliliters per hour (mL/hr).

Infusion rate (mL/hr) = Total volume (mL) / Total time (hr)

= 1000 mL / 7 hr

= 142.857... mL/hr.

  • Round to the nearest tenth.

= 142.9 mL/hr.


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Question 5:

Determine the amount to administer for the following order and supply.

Order: digoxin 500 mcg IM stat

Supply: 0.25 mg/ml.

Answer and Explanation
Correct Answer: "2" mL

Explanation

Calculation:

  • Convert the desired dose from micrograms (mcg) to milligrams (mg).

The order is for 500 mcg.

1 mg = 1000 mcg.

Desired dose (mg) = 500 mcg / 1000 mcg/mg

= 0.5 mg.

Available concentration = 0.25 mg/mL.

  • Calculate the volume to administer in milliliters (mL).

Volume to administer (mL) = Desired dose (mg) / Available concentration (mg/mL)

= 0.5 mg / 0.25 mg/mL

= 2 mL.


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Question 6:

The health care provider ordered 1500 mL Isocal Full Strength over 20 hours. What will be the rate in ml/hr?

Answer and Explanation
Correct Answer: "75" mL/hr.

Explanation

Calculation:

Total volume = 1500 mL.

Total time = 20 hours.

  • Calculate the infusion rate in milliliters per hour (mL/hr).

Infusion rate (mL/hr) = Total volume (mL) / Total time (hr)

= 1500 mL / 20 hr

= 75 mL/hr.


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Question 7:

Use the following order and supply to calculate the infusion rate in mL/hr.

 

Order: lorazepam 0.5 mg/hr

Supply: lorazepam 4 mg in D5W 50 mL total volume

Answer and Explanation
Correct Answer: "6.25" mL/hr.

Explanation

Desired dose = 0.5 mg/hr.

  • Calculate the concentration of the available solution.

Concentration = Total medication (mg) / Total volume (mL)

= 4 mg / 50 mL

= 0.08 mg/mL.

  • Calculate the infusion rate in milliliters per hour (mL/hr).

Infusion rate (mL/hr) = Desired dose (mg/hr) / Concentration (mg/mL)

= 0.5 mg/hr / 0.08 mg/mL

= 6.25 mL/hr.


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Question 8:

A client with congestive heart failure (CHF) is scheduled to receive 150 mL of Lactated Ringers over 4 hours. Available to use is microdrip tubing 60 gtts/ 1 mL. What is the rate of flow in gtts/min?

Answer and Explanation
Correct Answer: "37.5" gtts/min.

Explanation

Calculation:

Total volume = 150 mL.

Total time = 4 hours

= 4 hours x 60 minutes/hour

= 240 minutes.

Drop factor = 60 gtts/1 mL.

  • Calculate the infusion rate in drops per minute (gtts/min).

Infusion rate (gtts/min) = (Total volume (mL) x Drop factor (gtts/mL)) / Total time (min)

= (150 mL x 60 gtts/mL) / 240 min

= 9000 drops / 240 min

= 37.5 gtts/min.


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Question 9:

The doctor orders Lasix 0.5mg/kg IV now. The patient weight is 70kg. You have available Lasix 8mg/mL. How many mL will you administer?

Answer and Explanation
Correct Answer: "4.375" mL

Explanation

Calculation:

  • Calculate the total dose in milligrams (mg).

Total dose (mg) = Client weight (kg) x Ordered dose (mg/kg)

= 70 kg x 0.5 mg/kg

= 35 mg.

  • Calculate the volume to administer in milliliters (mL).

Volume (mL) = Total dose (mg) / Available concentration (mg/mL)

= 35 mg / 8 mg/mL

= 4.375 mL.


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Question 10:

The nurse provides a home health client an unopened bottle of guaifenesin that is 300 ml. Directions read: take 2 teaspoons 4 times a day as ordered. The client asks, how many days will the bottle last. How would the nurse respond?

Answer and Explanation
Correct Answer: "7.5" days

Explanation

Calculation:

  • Calculate the total daily dose in teaspoons.

The client takes 2 teaspoons, 4 times a day.

Daily dose (tsp) = 2 tsp/dose x 4 doses/day

= 8 tsp/day.

  • Convert the total volume of the bottle from milliliters (mL) to teaspoons.

The bottle contains 300 mL. Use the conversion factor: 1 tsp = 5 mL.

Total volume (tsp) = 300 mL / 5 mL/tsp

= 60 tsp.

  • Calculate the number of days the bottle will last.

Number of days = Total volume (tsp) / Daily dose (tsp)

= 60 tsp / 8 tsp/day

= 7.5 days.


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