Castleport Test Prep

Nursing Dosage Calculation Practice Test

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Question 1 · Grams to milligrams

The order reads 0.5 g. How many milligrams is that?

Answer in mg. Enter the exact value.

Units stay outside the numeric field. Do not type units, fractions, or scientific notation.

Fifty original, unofficial questions make up this nursing dosage calculation practice test, each with its rounding rule and a worked answer right under it. These U.S.-focused medication-math scenarios are for study, not patient-dosing advice.

Set A — Conversions and weight

A1 · Grams to milligrams

The order reads 0.5 g. How many milligrams is that?

Answer in mg. Enter the exact value.

Show answer and explanation

Answer: 500 mg

Worked solution: 0.5 g × (1,000 mg ÷ 1 g) = 500 mg

Why: A milligram is a smaller unit than a gram, so the same amount takes a bigger number.

Common slip: 0.0005 means the decimal moved the wrong way.

Source: NIST Handbook 133, Appendix E

A2 · Milligrams to micrograms

Express 0.125 mg in micrograms.

Answer in mcg. Enter the exact value.

Show answer and explanation

Answer: 125 mcg

Worked solution: 0.125 mg × (1,000 mcg ÷ 1 mg) = 125 mcg

Why: Each milligram holds 1,000 micrograms.

Common slip: Writing the order as ".125 mg" invites a misread. Always put a zero before the decimal point, and write "mcg," never "µg."

Source: NIST Handbook 133, Appendix E; ISMP error-prone abbreviations and dose designations

A3 · Micrograms to milligrams

Express 75 mcg in milligrams.

Answer in mg. Enter the exact value.

Show answer and explanation

Answer: 0.075 mg

Worked solution: 75 mcg × (1 mg ÷ 1,000 mcg) = 0.075 mg

Why: Going to the larger unit makes the number smaller, and here the exact answer needs three decimal places. Don't round an exact conversion to two places.

Common slip: 0.75 mg is ten times too much. 75,000 means you multiplied instead of divided.

Source: NIST Handbook 133, Appendix E

A4 · Pounds to kilograms, with rounding

An adult weighs 183 lb. Using 1 kg = 2.2 lb, convert the weight to kilograms.

Answer in kg. Round to the nearest tenth.

Show answer and explanation

Answer: 83.2 kg

Worked solution: 183 lb × (1 kg ÷ 2.2 lb) = 83.1818… → 83.2 kg

Why: The factor 2.2 is a rounded convention. The exact relationship is 1 lb = 0.453 592 37 kg, so 1 kg is approximately 2.204 623 lb; the exact factor gives 83.0 kg after rounding to the nearest tenth. Both are correct arithmetic, but a question that tells you to use 2.2 is graded on 2.2.

Common slip: Multiplying by 2.2 gives 402.6. A weight in kilograms is always a smaller number than the same weight in pounds.

Source: NIST Handbook 133, Appendix E

A5 · Oral intake in milliliters

During your shift, a client drinks 6 fl oz of apple juice and 1 cup (8 fl oz) of broth. Using 1 fl oz = 30 mL, what is the client's oral intake?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 420 mL

Worked solution: (6 fl oz + 8 fl oz) × (30 mL ÷ 1 fl oz) = 420 mL

Why: Convert everything to fluid ounces first, then to milliliters. A cup is 8 fl oz, so it's 240 mL at 30 mL per ounce.

Common slip: 210 mL comes from counting the cup as 30 mL.

Source: NIST Handbook 133, Appendix E

Set B — Tablets and capsules

B1 · Tablets with a mg-to-mcg conversion

Levothyroxine 0.1 mg by mouth daily is ordered. Available: levothyroxine 50 mcg tablets. How many tablets will you give?

Answer in tablets. Enter the exact value.

Show answer and explanation

Answer: 2 tablets

Worked solution: 0.1 mg × (1,000 mcg ÷ 1 mg) × (1 tablet ÷ 50 mcg) = 2 tablets

Why: Put the order and the label in the same unit before dividing: 0.1 mg is 100 mcg.

Common slip: 0.002 tablets means milligrams were divided by micrograms without converting.

Source: Levothyroxine sodium tablets label (Accord; DailyMed); NIST Handbook 133, Appendix E

B2 · Capsules with a g-to-mg conversion

Amoxicillin 0.5 g by mouth is ordered. Available: amoxicillin 250 mg capsules. How many capsules will you give?

Answer in capsules. Enter the exact value.

Show answer and explanation

Answer: 2 capsules

Worked solution: 0.5 g × (1,000 mg ÷ 1 g) × (1 capsule ÷ 250 mg) = 2 capsules

Why: 0.5 g is 500 mg, which is two 250 mg capsules.

Common slip: 0.002 capsules means the order was left in grams.

Source: Amoxicillin capsules label (Micro Labs; DailyMed); NIST Handbook 133, Appendix E

B3 · Capsules per day

Amoxicillin 500 mg by mouth every 8 hours is ordered. Available: amoxicillin 250 mg capsules. How many capsules will the client take in 24 hours?

Answer in capsules. Enter the exact value.

Show answer and explanation

Answer: 6 capsules

Worked solution: Per dose: 500 mg ÷ 250 mg = 2 capsules. Doses per day: 24 hr ÷ 8 hr = 3. Total: 2 × 3 = 6 capsules.

Why: The question asks for 24 hours, not one dose.

Common slip: 2 is the per-dose amount.

Source: Amoxicillin capsules label (Micro Labs; DailyMed)

B4 · Same dose, different units

An order reads 0.25 mg by mouth. The tablets on hand are labeled 250 mcg. How many tablets will you give?

Answer in tablets. Enter the exact value.

Show answer and explanation

Answer: 1 tablet

Worked solution: 0.25 mg × (1,000 mcg ÷ 1 mg) = 250 mcg → 250 mcg × (1 tablet ÷ 250 mcg) = 1 tablet

Why: The order and the label describe the same dose in different units.

Common slip: 1,000 or 0.001 tablets comes from dividing without converting. When a result is that far from 1 or 2 tablets, recheck the units.

Source: NIST Handbook 133, Appendix E

B5 · A half tablet

Levothyroxine 25 mcg by mouth is ordered. The only tablets on the unit are levothyroxine 50 mcg, and the How Supplied section of their label states the tablets have functional scoring. How many tablets?

Answer in tablets. Enter the exact value.

Show answer and explanation

Answer: 0.5 tablet (document it as “half tablet”)

Worked solution: 25 mcg × (1 tablet ÷ 50 mcg) = 0.5 tablet

Why: Write it as "half tablet" in words when you document or communicate the dose; ISMP flags "½" and "0.5 tablet" as error-prone. Splitting is product-specific: FDA says a tablet approved for splitting has that stated in the How Supplied section of its label, and a different manufacturer's tablet may not be made to split.

Common slip: Rounding to 0 or 1 tablet changes the dose. A split is acceptable here only because the stem tells you the label allows it.

Source: FDA, Tablet Splitting; Levothyroxine sodium tablets label (Accord; DailyMed); ISMP error-prone abbreviations and dose designations

Set C — Oral liquids

C1 · Suspension with rounding

Amoxicillin 450 mg by mouth is ordered. Available: amoxicillin oral suspension 400 mg/5 mL. How many mL will you give?

Answer in mL. Round to the nearest tenth.

Show answer and explanation

Answer: 5.6 mL

Worked solution: 450 mg × (5 mL ÷ 400 mg) = 5.625 mL → 5.6 mL

Why: Keep all the digits until the end. The hundredths digit is 2, so the tenth stays 5.6.

Common slip: 1.1 means the 5 mL was dropped. The concentration is per 5 mL, not per mL. The label directs using a calibrated oral syringe.

Source: Amoxicillin oral suspension label (Hikma; DailyMed)

C2 · Potassium chloride oral solution

Potassium chloride 30 mEq by mouth is ordered. Available: potassium chloride oral solution 10%, labeled 20 mEq per 15 mL. How many mL will you measure?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 22.5 mL

Worked solution: 30 mEq × (15 mL ÷ 20 mEq) = 22.5 mL

Why: Calculate from "20 mEq per 15 mL," not from the "10%." The label also says to dilute the solution before giving it.

Common slip: Using 10 mL or 20 mL as the volume on the label gives the wrong answer. Read the whole concentration.

Source: Potassium chloride oral solution label (PAI; DailyMed)

C3 · Pediatric acetaminophen, halfway rounding

Acetaminophen 200 mg by mouth is ordered for a child. Available: acetaminophen oral suspension 160 mg/5 mL. How many mL will you give?

Answer in mL. Round to the nearest tenth.

Show answer and explanation

Answer: 6.3 mL

Worked solution: 200 mg × (5 mL ÷ 160 mg) = 6.25 mL → 6.3 mL

Why: 6.25 sits exactly halfway between 6.2 and 6.3. This test rounds halfway values up. In its December 2011 safety notice, FDA described liquid acetaminophen for infants sold as 160 mg/5 mL and also as 80 mg/0.8 mL or 80 mg/mL. That historical example shows why the same dose can be a very different volume. Always calculate from the bottle in hand.

Common slip: 6.2 uses a different tie rule. 6.25 isn't rounded to the tenth.

Source: Children’s acetaminophen oral suspension label (DailyMed); FDA, infant liquid acetaminophen concentration-change Q&A; Open RN, Rounding (LibreTexts)/05%3A_Math_Calculations/5.05%3A_Rounding)

C4 · A whole-number volume

Amoxicillin 200 mg by mouth is ordered. Available: amoxicillin oral suspension 125 mg/5 mL. How many mL will you give?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 8 mL

Worked solution: 200 mg × (5 mL ÷ 125 mg) = 8 mL

Why: Write 8 mL, not 8.0 mL. ISMP warns that a trailing zero can be misread as 80.

Common slip: 3.1 mL means the ratio was flipped.

Source: Amoxicillin oral suspension label (Hikma; DailyMed); ISMP error-prone abbreviations and dose designations

C5 · Teaspoons to milliliters

A discharge handout says to give 1½ teaspoons of a liquid medicine. You teach the parent to use an oral syringe marked in mL. Using 1 teaspoon = 5 mL, how many mL is the dose?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 7.5 mL

Worked solution: 1.5 tsp × (5 mL ÷ 1 tsp) = 7.5 mL

Why: ISMP lists teaspoon and tablespoon abbreviations as error-prone and recommends metric units. A syringe marked in mL avoids kitchen-spoon guesses.

Common slip: Using 15 mL (a tablespoon) instead of 5 mL gives 22.5 mL.

Source: ISMP error-prone abbreviations and dose designations; NIST Handbook 133, Appendix E

Set D — Injections and reconstitution

D1 · Heparin, subcutaneous

Heparin 5,000 units subcutaneously is ordered. Available: heparin sodium injection 10,000 units/mL. How many mL?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 0.5 mL

Worked solution: 5,000 units × (1 mL ÷ 10,000 units) = 0.5 mL

Why: Heparin vials come in several strengths, including 1,000, 5,000, and 10,000 units/mL, so the strength on the vial in your hand decides the volume. Write "units" in full, never "U."

Common slip: 5 mL comes from using a 1,000 units/mL strength by mistake.

Source: Heparin sodium injection label (Pfizer; DailyMed); ISMP error-prone abbreviations and dose designations

D2 · Enoxaparin from a multiple-dose vial

Enoxaparin 40 mg subcutaneously is ordered. Available: an enoxaparin multiple-dose vial labeled 300 mg/3 mL. How many mL will you draw up?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 0.4 mL

Worked solution: 300 mg ÷ 3 mL = 100 mg/mL → 40 mg × (1 mL ÷ 100 mg) = 0.4 mL

Why: Find the per-mL concentration first: 300 mg in 3 mL is 100 mg/mL. Lovenox also has 150 mg/mL prefilled syringes, so not every presentation has the same concentration.

Common slip: 4 mL comes from using 10 mg/mL.

Source: Lovenox (enoxaparin) label (Sanofi; DailyMed)

D3 · Furosemide IV

Furosemide 30 mg IV is ordered. Available: furosemide injection 10 mg/mL. How many mL?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 3 mL

Worked solution: 30 mg × (1 mL ÷ 10 mg) = 3 mL

Why: Divide the ordered dose by the amount in each mL.

Common slip: 300 mL means the dose was multiplied by the concentration.

Source: Furosemide injection label (Accord; DailyMed)

D4 · A small volume in micrograms

An order reads 0.15 mg IM. The injectable solution on hand is labeled 250 mcg/mL. How many mL?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 0.6 mL

Worked solution: 0.15 mg × (1,000 mcg ÷ 1 mg) = 150 mcg → 150 mcg × (1 mL ÷ 250 mcg) = 0.6 mL

Why: Convert the order to micrograms so it matches the label.

Common slip: 0.0006 mL or 600 mL comes from mixing mg and mcg.

Source: NIST Handbook 133, Appendix E

D5 · Reconstitution

Ceftriaxone 500 mg IM is ordered. You have a 1 g vial. The label says: for IM use, add 2.1 mL of diluent; each mL then contains approximately 350 mg. How many mL will you draw up?

Answer in mL. Round to the nearest hundredth.

Show answer and explanation

Answer: 1.43 mL

Worked solution: 500 mg × (1 mL ÷ 350 mg) = 1.428571… mL → 1.43 mL

Why: Use the concentration the label gives after mixing. The powder adds volume, so 1 g plus 2.1 mL of diluent is not 1,000 mg in 2.1 mL.

Common slip: 1.05 mL comes from 1,000 mg ÷ 2.1 mL, which ignores the powder's volume.

Source: Ceftriaxone for injection label (DailyMed)

Set E — Weight-based dosing

E1 · Enoxaparin by weight

Enoxaparin 1 mg/kg subcutaneously every 12 hours is ordered for a client who weighs 68 kg. Available: an enoxaparin multiple-dose vial labeled 300 mg/3 mL. How many mL per dose?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 0.68 mL

Worked solution: 1 mg/kg × 68 kg = 68 mg → 68 mg × (3 mL ÷ 300 mg) = 0.68 mL

Why: The vial is 100 mg/mL, so each 10 mg is 0.1 mL.

Common slip: 6.8 mL comes from reading the vial as 10 mg/mL.

Source: Lovenox (enoxaparin) label (Sanofi; DailyMed)

E2 · Enoxaparin, weight in pounds

Enoxaparin 1 mg/kg subcutaneously every 12 hours is ordered for a client who weighs 187 lb. Using 1 kg = 2.2 lb, how many mL per dose from an enoxaparin multiple-dose vial labeled 300 mg/3 mL?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 0.85 mL

Worked solution: 187 lb ÷ 2.2 = 85 kg → 85 mg → 85 mg × (3 mL ÷ 300 mg) = 0.85 mL

Why: Weight-based orders use kilograms. Convert the weight before you calculate the dose.

Common slip: 1.87 mL means the dose was calculated on pounds.

Source: Lovenox (enoxaparin) label (Sanofi; DailyMed); NIST Handbook 133, Appendix E

E3 · Heparin bolus by protocol

Per the facility's weight-based heparin protocol, give an IV bolus of 80 units/kg. The client weighs 75 kg. Available: heparin 5,000 units/mL. How many mL?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 1.2 mL

Worked solution: 80 units/kg × 75 kg = 6,000 units → 6,000 units × (1 mL ÷ 5,000 units) = 1.2 mL

Why: An 80 units/kg starting bolus comes from a published weight-based heparin nomogram. Your facility's protocol is what governs practice.

Common slip: 0.83 mL means the ratio was flipped.

Source: Raschke et al., weight-based heparin nomogram trial; Heparin sodium injection label (Pfizer; DailyMed)

E4 · mg/kg/day in divided doses

A child who weighs 16 kg is prescribed amoxicillin 25 mg/kg/day by mouth, divided every 12 hours. Available: amoxicillin oral suspension 250 mg/5 mL. How many mL per dose?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 4 mL

Worked solution: 25 mg/kg/day × 16 kg = 400 mg/day → ÷ 2 doses = 200 mg per dose → 200 mg × (5 mL ÷ 250 mg) = 4 mL

Why: "Per day" means the total for 24 hours. Every 12 hours is 2 doses a day.

Common slip: 8 mL gives the whole day's amount as one dose.

Source: Amoxicillin oral suspension label (Hikma; DailyMed)

E5 · Pounds, per day, per dose

A child who weighs 33 lb is prescribed amoxicillin 40 mg/kg/day by mouth, divided every 8 hours. Using 1 kg = 2.2 lb, how many mg per dose?

Answer in mg. Enter the exact value.

Show answer and explanation

Answer: 200 mg

Worked solution: 33 lb ÷ 2.2 = 15 kg → 40 mg/kg/day × 15 kg = 600 mg/day → 24 hr ÷ 8 hr = 3 doses → 600 mg ÷ 3 = 200 mg per dose

Why: Divide the daily total by the number of doses, not by the hours between them.

Common slip: 75 mg comes from dividing by 8.

Source: Amoxicillin oral suspension label (Hikma; DailyMed); NIST Handbook 133, Appendix E

Set F — Dose-range checks and body surface area

F1 · Maximum single dose within a supplied range

In this hypothetical exercise, an 18-kg child is prescribed a medication by mouth every 12 hours. The supplied exercise range is 25 to 45 mg/kg/day, divided every 12 hours. What is the maximum single dose within that range?

Answer in mg. Enter the exact value.

Show answer and explanation

Answer: 405 mg

Worked solution: 45 mg/kg/day × 18 kg = 810 mg/day → ÷ 2 doses = 405 mg per dose

Why: Multiply the top of the range by the weight, then divide by the number of doses.

Common slip: 810 mg is the daily maximum in this exercise, not a single dose.

Basis: Calculated from the inputs and units stated in this exercise.

F2 · Checking an order against the range

In this hypothetical exercise, an 18-kg child is prescribed a medication 300 mg by mouth every 12 hours. What is that in mg/kg/day? (The supplied exercise range is 25 to 45 mg/kg/day.)

Answer in mg/kg/day. Round to the nearest tenth.

Show answer and explanation

Answer: 33.3 mg/kg/day, which is inside the 25 to 45 mg/kg/day range

Worked solution: 300 mg × 2 doses = 600 mg/day → 600 mg/day ÷ 18 kg = 33.333… mg/kg/day → 33.3 mg/kg/day

Why: 33.3 mg/kg/day falls inside the supplied 25 to 45 mg/kg/day range. Compare day with day, or dose with dose, never a mix. This arithmetic comparison does not establish clinical safety.

Common slip: 16.7 is the per-dose amount per kg. The range is per day.

Basis: Calculated from the inputs and units stated in this exercise.

F3 · When the order exceeds a supplied range (two parts)

In this hypothetical exercise, a 12-kg child is prescribed a medication 250 mg by mouth every 8 hours. The supplied exercise range is 20 to 40 mg/kg/day, divided every 8 hours.

Part A: What is the maximum single dose within that range?

Part B: How does the prescribed single dose compare with that maximum?

  • A. The prescribed 250 mg single dose is below the maximum.
  • B. The prescribed 250 mg single dose equals the maximum.
  • C. The prescribed 250 mg single dose is above the maximum.

Part A: answer in mg. Enter the exact value. Part B: choose one.

Show answer and explanation

Answer: Part A: 160 mg · Part B: C. The prescribed 250 mg single dose is above the maximum.

Worked solution: 40 mg/kg/day × 12 kg = 480 mg/day → ÷ 3 doses = 160 mg maximum per dose within the supplied range. The order is 250 mg per dose (750 mg per day), which is above the range.

Why: Compare 250 mg with 160 mg per dose, or 750 mg with 480 mg per day. Both comparisons put this order above the supplied range. This exercise does not decide whether an actual patient should receive or withhold a medication. Both parts must be correct.

Common slip: A reverses the comparison. B treats 250 mg as equal to 160 mg.

Basis: Calculated from the inputs and units stated in this exercise.

F4 · Body surface area

Using the Mosteller formula, BSA (m²) = √[height (cm) × weight (kg) ÷ 3,600], calculate the BSA of a child who is 110 cm tall and weighs 20 kg.

Answer in m². Round to the nearest hundredth.

Show answer and explanation

Answer: 0.78 m²

Worked solution: BSA = √(110 × 20 ÷ 3,600) = √(2,200 ÷ 3,600) ≈ 0.78173596 m² → 0.78 m²

Why: Do the multiplication and division first, then take the square root, then round.

Common slip: 0.61 means the square root was skipped.

Source: Mosteller, simplified body-surface-area calculation; Wu et al., body-surface-area formula comparison

F5 · A dose based on body surface area

A client is 165 cm tall and weighs 60 kg. Calculate the BSA with the Mosteller formula and round it to the nearest hundredth. Then use that rounded BSA to calculate a dose prescribed at 100 mg/m². Enter the dose as a whole number.

Answer in mg. Round to a whole number.

Show answer and explanation

Answer: 166 mg

Worked solution: √(165 × 60 ÷ 3,600) = √2.75 ≈ 1.6583124 m² → 1.66 m² → 100 mg/m² × 1.66 m² = 166 mg

Why: The question tells you to round the BSA first, so do. The unrounded BSA gives about 165.8 mg, which also rounds to 166. No drug is named here; this item practices the arithmetic only.

Common slip: 275 mg comes from skipping the square root.

Source: Mosteller, simplified body-surface-area calculation; Wu et al., body-surface-area formula comparison

Set G — IV pump rates and volumes

G1 · Volume over hours

Infuse 1,000 mL of 0.9% sodium chloride over 8 hours by pump. What rate do you set?

Answer in mL/hr. Enter the exact value.

Show answer and explanation

Answer: 125 mL/hr

Worked solution: 1,000 mL ÷ 8 hr = 125 mL/hr

Why: Pump rate is volume divided by hours.

Common slip: 8,000 means the volume was multiplied by the hours.

Basis: Calculated from the inputs and units stated in this exercise.

G2 · Volume over minutes

Infuse 250 mL over 90 minutes by pump. What rate do you set?

Answer in mL/hr. Round to a whole number.

Show answer and explanation

Answer: 167 mL/hr

Worked solution: 90 min ÷ 60 = 1.5 hr → 250 mL ÷ 1.5 hr = 166.666… mL/hr → 167 mL/hr

Why: A pump rate needs hours. Convert the minutes first.

Common slip: 2.8 is mL per minute. Treating 90 minutes as 0.9 hours gives 278.

Basis: Calculated from the inputs and units stated in this exercise.

G3 · Heparin units/hr to mL/hr

A heparin infusion is ordered at 1,000 units/hr. The bag is heparin 25,000 units in 500 mL of 5% dextrose. What rate do you set?

Answer in mL/hr. Enter the exact value.

Show answer and explanation

Answer: 20 mL/hr

Worked solution: 25,000 units ÷ 500 mL = 50 units/mL → 1,000 units/hr ÷ 50 units/mL = 20 mL/hr

Why: Premixed heparin comes in more than one concentration. The label tells you to confirm the formulation and strength before giving it.

Common slip: 10 mL/hr comes from using the 25,000 units/250 mL bag (100 units/mL).

Source: Heparin sodium in 5% dextrose label (B. Braun; DailyMed)

G4 · Weight-based heparin infusion

Per protocol, start heparin at 18 units/kg/hr for a client who weighs 82 kg. The bag is heparin 25,000 units in 500 mL. What rate do you set?

Answer in mL/hr. Round to the nearest tenth.

Show answer and explanation

Answer: 29.5 mL/hr

Worked solution: 18 units/kg/hr × 82 kg = 1,476 units/hr → 1,476 ÷ 50 units/mL = 29.52 → 29.5 mL/hr

Why: 18 units/kg/hr is the starting infusion in a published weight-based heparin nomogram; your facility's protocol governs practice.

Common slip: 29.52 isn't rounded to the tenth.

Source: Raschke et al., weight-based heparin nomogram trial; Heparin sodium in 5% dextrose label (B. Braun; DailyMed)

G5 · Volume over hours and minutes

Lactated Ringer's is infusing at 90 mL/hr. How many mL will infuse in 3 hours 40 minutes?

Answer in mL. Enter the exact value.

Show answer and explanation

Answer: 330 mL

Worked solution: 40 min ÷ 60 min/hr = 2/3 hr → (3 + 2/3) hr × 90 mL/hr = 330 mL

Why: Forty minutes is two-thirds of an hour, not 0.40 hour.

Common slip: 306 mL comes from using 3.40 hours.

Basis: Calculated from the inputs and units stated in this exercise.

Set H — Gravity drip rates

H1 · Macrodrip over hours

Infuse 1,000 mL over 6 hours using tubing with a drop factor of 15 gtt/mL (gtt means drops). What is the drip rate?

Answer in gtt/min. Round to a whole number.

Show answer and explanation

Answer: 42 gtt/min

Worked solution: 1,000 mL × 15 gtt/mL ÷ 360 min = 41.666… → 42 gtt/min

Why: Drip rates are per minute, so convert 6 hours to 360 minutes. You can't count part of a drop, so round to a whole number.

Common slip: 167 is the rate in mL/hr, not drops per minute.

Source: Open RN, IV Infusion by Gravity (LibreTexts)/05%3A_Math_Calculations/5.14%3A_IV_Infusion_by_Gravity); Open RN, Rounding (LibreTexts)/05%3A_Math_Calculations/5.05%3A_Rounding)

H2 · A different drop factor

Infuse 500 mL over 3 hours using tubing with a drop factor of 10 gtt/mL. What is the drip rate?

Answer in gtt/min. Round to a whole number.

Show answer and explanation

Answer: 28 gtt/min

Worked solution: 500 mL × 10 gtt/mL ÷ 180 min = 27.777… → 28 gtt/min

Why: The drop factor belongs to the tubing in this question. Don't reuse one from another problem.

Common slip: 42 comes from reusing 15 gtt/mL.

Source: Open RN, IV Infusion by Gravity (LibreTexts)/05%3A_Math_Calculations/5.14%3A_IV_Infusion_by_Gravity); Open RN, Rounding (LibreTexts)/05%3A_Math_Calculations/5.05%3A_Rounding)

H3 · Piggyback by gravity

A 100 mL IV piggyback is to infuse over 30 minutes by gravity. The drop factor is 20 gtt/mL. What is the drip rate?

Answer in gtt/min. Round to a whole number.

Show answer and explanation

Answer: 67 gtt/min

Worked solution: 100 mL × 20 gtt/mL ÷ 30 min = 66.666… → 67 gtt/min

Why: The time is already in minutes, so no hour conversion is needed.

Common slip: 66 truncates instead of rounding.

Source: Open RN, IV Infusion by Gravity (LibreTexts)/05%3A_Math_Calculations/5.14%3A_IV_Infusion_by_Gravity); Open RN, Rounding (LibreTexts)/05%3A_Math_Calculations/5.05%3A_Rounding)

H4 · The microdrip shortcut

Infuse at 75 mL/hr using microdrip tubing (60 gtt/mL). What is the drip rate?

Answer in gtt/min. Enter the exact value.

Show answer and explanation

Answer: 75 gtt/min

Worked solution: 75 mL/hr × 60 gtt/mL ÷ 60 min/hr = 75 gtt/min

Why: With 60 gtt/mL tubing, drops per minute always equal mL per hour.

Common slip: 4,500 means the hour was never converted to minutes.

Source: Open RN, IV Infusion by Gravity (LibreTexts)/05%3A_Math_Calculations/5.14%3A_IV_Infusion_by_Gravity)

H5 · Drip rate back to mL/hr

A gravity IV is dripping at 21 gtt/min through tubing with a drop factor of 10 gtt/mL. What is the flow rate?

Answer in mL/hr. Enter the exact value.

Show answer and explanation

Answer: 126 mL/hr

Worked solution: 21 gtt/min × 60 min/hr ÷ 10 gtt/mL = 126 mL/hr

Why: Work the drip formula backward: drops per hour divided by drops per mL gives mL per hour.

Common slip: 2.1 is mL per minute.

Source: Open RN, IV Infusion by Gravity (LibreTexts)/05%3A_Math_Calculations/5.14%3A_IV_Infusion_by_Gravity)

Set I — Titrations and concentration-based rates

I1 · mcg/kg/min to mL/hr

Dopamine is ordered at 5 mcg/kg/min for a client who weighs 80 kg. The premixed bag is dopamine 400 mg in 250 mL of 5% dextrose. What rate do you set?

Answer in mL/hr. Enter the exact value.

Show answer and explanation

Answer: 15 mL/hr

Worked solution: 400 mg ÷ 250 mL = 1.6 mg/mL = 1,600 mcg/mL. 5 mcg/kg/min × 80 kg × 60 min/hr = 24,000 mcg/hr. 24,000 ÷ 1,600 = 15 mL/hr.

Why: The dopamine label prints this same formula: mL/hr = dose (mcg/kg/min) × weight (kg) × 60 ÷ concentration (mcg/mL).

Common slip: 0.015 or 15,000 means the mg in the bag weren't converted to mcg.

Source: Dopamine hydrochloride in 5% dextrose label (DailyMed)

I2 · mcg/min to mL/hr

The bag is nitroglycerin 25 mg in 250 mL of 5% dextrose (100 mcg/mL). The infusion starts at 5 mcg/min. What rate do you set?

Answer in mL/hr. Enter the exact value.

Show answer and explanation

Answer: 3 mL/hr

Worked solution: 5 mcg/min × 60 min/hr = 300 mcg/hr → 300 ÷ 100 mcg/mL = 3 mL/hr

Why: The nitroglycerin label lists 5 mcg/min as the initial adult dose with nonadsorptive tubing and prints the same rate formula.

Common slip: 0.05 is mL per minute.

Source: Nitroglycerin in 5% dextrose label (Baxter; DailyMed)

I3 · After a titration step

The nitroglycerin bag contains 25 mg in 250 mL of 5% dextrose (100 mcg/mL). The infusion is running at 10 mcg/min, and the dose is increased by 5 mcg/min. What is the new rate?

Answer in mL/hr. Enter the exact value.

Show answer and explanation

Answer: 9 mL/hr

Worked solution: 10 + 5 = 15 mcg/min → 15 × 60 = 900 mcg/hr → 900 ÷ 100 mcg/mL = 9 mL/hr

Why: Recalculate from the new dose, not by adding the old and new rates. The label describes titration in 5 mcg/min steps.

Common slip: 3 mL/hr is the rate for the 5 mcg/min increase alone.

Source: Nitroglycerin in 5% dextrose label (Baxter; DailyMed)

I4 · Working backward to mcg/kg/min

A client who weighs 90 kg has dopamine 400 mg/250 mL infusing at 20 mL/hr. What dose is the client receiving?

Answer in mcg/kg/min. Round to the nearest tenth.

Show answer and explanation

Answer: 5.9 mcg/kg/min

Worked solution: 20 mL/hr × 1,600 mcg/mL = 32,000 mcg/hr → 32,000 ÷ (60 × 90) = 5.925925… mcg/kg/min → 5.9 mcg/kg/min

Why: Run the rate formula in reverse: rate × concentration, then divide by 60 and by the weight.

Common slip: 355.6 means the hour wasn't converted to minutes.

Source: Dopamine hydrochloride in 5% dextrose label (DailyMed)

I5 · Units per hour from the pump rate

Heparin 25,000 units in 500 mL is infusing at 22 mL/hr. How many units per hour is the client receiving?

Answer in units/hr. Enter the exact value.

Show answer and explanation

Answer: 1,100 units/hr

Worked solution: 25,000 units ÷ 500 mL = 50 units/mL → 22 mL/hr × 50 units/mL = 1,100 units/hr

Why: Rate times concentration gives the dose per hour. Write large doses with a comma (1,100 units) so a zero isn't lost.

Common slip: 0.44 comes from dividing instead of multiplying.

Source: Heparin sodium in 5% dextrose label (B. Braun; DailyMed); ISMP error-prone abbreviations and dose designations

Set J — Time, percent, and judgment

J1 · Finish time on a 24-hour clock

At 1400, 750 mL remain in an IV bag infusing at 100 mL/hr. At what time will it finish? Enter four digits on a 24-hour clock (for example, 0930).

Enter four digits (24-hour clock).

Show answer and explanation

Answer: 2130

Worked solution: 750 mL ÷ 100 mL/hr = 7.5 hr = 7 hr 30 min → 1400 + 7:30 = 2130

Why: Convert the decimal hour to minutes before adding: 0.5 hour × 60 = 30 minutes.

Common slip: 2150 reads 0.5 hour as 50 minutes.

Basis: Calculated from the inputs and units stated in this exercise.

J2 · Percent solutions

How many grams of dextrose are in 500 mL of 5% dextrose in water (D5W)?

Answer in g. Enter the exact value.

Show answer and explanation

Answer: 25 g

Worked solution: 5% w/v = 5 g per 100 mL → 500 mL × (5 g ÷ 100 mL) = 25 g

Why: For a mass/volume percentage (w/v), the number gives grams per 100 mL. Premixed 5% dextrose labels state 5 g of dextrose in each 100 mL.

Common slip: 2,500 or 2.5 comes from treating the percent as grams per mL or per liter.

Source: Heparin sodium in 5% dextrose label (B. Braun; DailyMed)

J3 · Is there enough information?

An intermittent IV infusion of 500 mg is ordered. The pharmacy bag contains 500 mg in 100 mL. The order does not state an infusion time. What can you determine about the pump rate?

  • A. It must be 100 mL/hr.
  • B. It must be 500 mL/hr.
  • C. It must be 5 mL/hr.
  • D. The volume is 100 mL, but the rate can't be set until the infusion time is known.

Choose one.

Show answer and explanation

Answer: D. The volume is 100 mL, but the rate can't be set until the infusion time is known.

Worked solution: 500 mg × (100 mL ÷ 500 mg) = 100 mL. mL/hr also needs a time.

Why: Dose and concentration give a volume, not a rate. Find the infusion time in the order or your facility's IV medication reference, or ask the prescriber or pharmacist. Don't assume one hour.

Why the other choices are wrong: A assumes a one-hour infusion. B treats milligrams as mL/hr. C uses the concentration (5 mg/mL) as if it were a rate.

Basis: Calculated from the inputs and units stated in this exercise.

J4 · Find the setup error

An order reads 0.3 mg. The solution on hand is labeled 150 mcg/mL. A classmate writes: 0.3 ÷ 150 = 0.002 mL. Which correction fixes the setup?

  • A. Convert 0.3 mg to 300 mcg, then 300 mcg ÷ 150 mcg/mL = 2 mL.
  • B. Round 0.002 mL up to 0.01 mL.
  • C. Multiply 0.002 mL by 60 to convert to hours.
  • D. Read the label as 150 mg/mL and keep 0.002 mL.

Choose one.

Show answer and explanation

Answer: A. Convert 0.3 mg to 300 mcg, then 300 mcg ÷ 150 mcg/mL = 2 mL.

Worked solution: 0.3 mg × (1,000 mcg ÷ 1 mg) = 300 mcg → 300 mcg ÷ 150 mcg/mL = 2 mL

Why: The order and the label must use the same unit before you divide. Checking back: 2 mL × 150 mcg/mL = 300 mcg = 0.3 mg.

Why the other choices are wrong: B tries to round away a setup error. C adds a time step that doesn't belong. D changes what the label says.

Source: NIST Handbook 133, Appendix E

J5 · Write the doses safely

Which set records four-tenths of a milligram, four milligrams, and ten units the way ISMP recommends?

  • A. 0.4 mg · 4 mg · 10 units
  • B. .4 mg · 4 mg · 10 units
  • C. 0.4 mg · 4.0 mg · 10 units
  • D. 0.4 mg · 4 mg · 10 U

Choose one.

Show answer and explanation

Answer: A. 0.4 mg · 4 mg · 10 units

Worked solution: Leading zero before a decimal, no trailing zero after a whole number, and "units" written out.

Why: Each error-prone form can cause a tenfold mistake: ".4" can be read as 4, "4.0" as 40, and "U" as a zero or a 4.

Why the other choices are wrong: B drops the leading zero. C adds a trailing zero. D abbreviates units as "U."

Source: ISMP error-prone abbreviations and dose designations

Check your score

Give yourself one point for each question you got right before looking at its answer. For F3, both parts must be right. Use this key to mark quickly.

Show the quick answer key
Set12345
A · Conversions and weight500 mg125 mcg0.075 mg83.2 kg420 mL
B · Tablets and capsules2 tablets2 capsules6 capsules1 tablet0.5 tablet
C · Oral liquids5.6 mL22.5 mL6.3 mL8 mL7.5 mL
D · Injections and reconstitution0.5 mL0.4 mL3 mL0.6 mL1.43 mL
E · Weight-based dosing0.68 mL0.85 mL1.2 mL4 mL200 mg
F · Dose-range checks and body surface area405 mg33.3 mg/kg/day160 mg; C0.78 m²166 mg
G · IV pump rates and volumes125 mL/hr167 mL/hr20 mL/hr29.5 mL/hr330 mL
H · Gravity drip rates42 gtt/min28 gtt/min67 gtt/min75 gtt/min126 mL/hr
I · Titrations and concentration-based rates15 mL/hr3 mL/hr9 mL/hr5.9 mcg/kg/min1,100 units/hr
J · Time, percent, and judgment213025 gDAA

Your total describes these 50 questions only. It isn't a school grade, an NCLEX prediction, or a measure of readiness. Each set has just five items, so one miss moves a set score by 20 percentage points — use set scores to pick what to redo, not to judge yourself. For each miss, cover the worked solution, rework it from the question, then retake the whole set.

Rounding and notation rules used here

Round only at the end, to the place each question asks for — and if your program's rules differ, follow your program on its test. Enter numbers only; the unit is shown with each question.

  • Round once, at the end. NCSBN says NCLEX calculation items should be rounded at the end (NCLEX FAQs), and NIST's unit-conversion guidance says rounding should be the last step and done only once (NIST Handbook 133, Appendix E, p. 241). When a question tells you to round a value partway through, like the BSA in F5, do what it says.
  • "Exact" means no rounding. A3's 0.075 mg needs all three decimal places.
  • Halfway rounds up. 6.25 to the nearest tenth is 6.3 (C3).
  • The stated place is what counts. 83.18 isn't the requested 83.2 (A4), and 1.4 isn't the requested 1.43 (D5).
  • Drops are whole numbers. You can't give part of a drop (Open RN: Rounding/05%3A_Math_Calculations/5.05%3A_Rounding)).
  • Your program's rules win on its test. One college's 2014 competency worksheet, for example, rounds drip rates to whole numbers, pump rates to tenths, liquid volumes over 1 mL to tenths and under 1 mL to hundredths, and tablets to whole or half tablets if scored (Cox College worksheet). Those are that program's rules, not a national standard — which is why every question here states its own.

Write doses the safe way. ISMP's list of error-prone abbreviations says to use a leading zero (0.5 mg, not .5 mg), no trailing zero after a whole number (5 mg, not 5.0 mg), "units" instead of "U" or "IU," "mL" instead of "cc," "mcg" instead of "µg," "half tablet" in words, and commas in doses of 1,000 units or more (ISMP list, pp. 1–2 and 6–7).

On the NCLEX, each calculation item tells you whether to answer with a whole number or one or two decimal places, and you must type the decimal point when decimals are requested (NCLEX FAQs).

Conversions to know cold

The NCLEX lists conversion tables among its prohibited aids (Candidate Bulletin, p. 13), so these need to live in your head.

RelationshipValueNote
Mass1 g = 1,000 mg · 1 mg = 1,000 mcg · 1 kg = 1,000 gExact
Volume1 L = 1,000 mL · 1 mL = 1 cm³Exact. Write mL, not cc
Body weight1 kg = 2.2 lbRounded convention. Exact: 1 lb = 0.453 592 37 kg, so 1 kg ≈ 2.204 623 lb
Household to metric1 tsp = 5 mL · 1 tbsp = 15 mL · 1 fl oz = 30 mL · 1 cup = 8 fl ozNIST lists the measuring teaspoon and tablespoon as 5 and 15 mL (rounded). The U.S. fluid ounce is approximately 29.573 mL, so 30 mL is a rounded convention — use it when a question tells you to
Drop factorDrops (gtt) per mL, printed on the tubing packageMicrodrip tubing is 60 gtt/mL
Mass/volume percent (w/v)Grams per 100 mLD5W: 5 g dextrose in each 100 mL
Time1 hr = 60 min · 0.5 hr = 30 min · 0.25 hr = 15 minConvert decimal hours to minutes before writing a clock time
GrainNot used here1 grain = 64.798 91 mg exactly. ISMP says to use metric units instead

Sources: NIST Handbook 133, Appendix E (pp. 236, 249–251, 257–259); Open RN: IV Infusion by Gravity/05%3A_Math_Calculations/5.14%3A_IV_Infusion_by_Gravity); heparin in 5% dextrose container labels; ISMP list, p. 8.

The setups behind every question

Every worked solution above uses dimensional analysis: start with the unit you want, then line up fractions so every other unit cancels. It gives the same answer as dose ordered ÷ dose on hand × quantity, but it keeps the units in view, so a missed conversion shows up before it costs you.

TaskSetupPractice it
Dose to giveOrdered amount ÷ amount on hand × quantity (put both amounts in the same unit first)B1, C1, D4
Weight-based dosemg/kg × kgE1, E2
Per dose from a daily order(mg/kg/day × kg) ÷ doses per day, where doses per day = 24 ÷ hours between dosesE4, E5
Supplied dose-range comparisonLow end = supplied minimum × kg; high end = supplied maximum × kg; compare day with day or dose with doseF1–F3
Pump ratemL ÷ hoursG1, G2
Gravity drip ratemL × drop factor ÷ minutesH1–H3
mcg/kg/min to mL/hrmcg/kg/min × kg × 60 ÷ concentration in mcg/mLI1
Rate back to units/hrmL/hr × concentration in units/mLI5
Rate back to mcg/kg/minmL/hr × concentration in mcg/mL ÷ 60 ÷ weight in kgI4
Volume or timemL = mL/hr × hours; hours = mL ÷ mL/hrG5, J1
Body surface area (Mosteller)√(height in cm × weight in kg ÷ 3,600)F4, F5

The mcg/kg/min setup isn't just a textbook trick: the dopamine label (§2.2) prints that weight-based formula. The nitroglycerin label prints the adult mcg/min-to-mL/hr formula: dose × 60 ÷ concentration, without a body-weight term.

Where points are usually lost

A correct multiplication can still sit inside the wrong setup. In a 2022 study of 863 completed exam exercises from one nursing program in Spain, arithmetic was incorrect in 62 of the 794 exercises where that category was assessed (7.8%). Unit equivalences were incorrect in 109 of 289 applicable exercises (37.7%), and infusion-rate calculations in 130 of 345 (37.7%). Those are different denominators, not percentages of all 863 exercises or of individual students (BMC Nursing 2022, Table 4). That's one program, but the same traps are built into this test:

  • Converting the wrong way. Going to a smaller unit makes the number bigger (A1, A2); going to a larger unit makes it smaller (A3).
  • Pounds instead of kilograms. Convert weight before any mg/kg step (A4, E2, E5).
  • Per day versus per dose. Divide a daily total by the number of doses, not the hours between them (B3, E4, E5, F2).
  • Minutes versus hours. Pump rates need hours; drip rates need minutes; 40 minutes is two-thirds of an hour, not 0.40 (G2, G5, H1).
  • Reconstitution volume. Use the label's concentration after mixing, not powder ÷ diluent (D5).
  • Look-alike strengths. Heparin vials, enoxaparin presentations, and potassium chloride oral solutions come in more than one concentration (D1, D2, C2).
  • Rounding too early or to the wrong place. Keep every digit until the final step (A4, G4, I4).
  • Missing information. Some orders can't be turned into a rate until you know the time (J3).
  • Skipping the sense check. Twenty tablets or a 300 mL IV push should stop you cold.

How this fits the NCLEX and your school's med-math test

NCLEX. The 2026 NCLEX-RN Test Plan lists "Perform calculations needed for medication administration" under Pharmacological and Parenteral Therapies, which makes up 13–19% of RN items. On the 2026 NCLEX-PN plan, the matching category is Pharmacological Therapies, at 10–16%. Both plans are in effect from April 1, 2026 through March 31, 2029 (Candidate Bulletin, pp. 22–23). Those percentages apply to the whole pharmacological category, not to dosage calculations alone. An on-screen calculator is provided, and handheld calculators are prohibited (Candidate Bulletin, pp. 3 and 13). This test practices the math; it isn't a simulated NCLEX. For the whole exam, see our NCLEX-RN guide or NCLEX-PN guide.

Your school's test. Your program sets the pass mark, the number of retakes, the calculator rules, and the rounding rules. One college's 2014 worksheet, for example, allows only simple four-function calculators (Cox College). This is a historical local example, not a statement of that school's current policy. Check your syllabus or student handbook before test day, and practice with the kind of calculator you'll be allowed to use.

Sources and verification

Last verified: September 21, 2026. On that date we checked the NCLEX test plans, FAQs, and Candidate Bulletin; the ISMP and NIST guidance; and the cited label passages and references below. We also recalculated every answer from its stated inputs. This is a source and arithmetic check, not a clinical review or a check of pharmacy stock.

Written by the Castleport Test Prep Editorial Team · How we verify · Corrections · Independence policy

AI tools assisted with drafting and source checking; the calculations were also checked with code. No qualified clinical review is claimed.

Castleport Test Prep is an independent exam prep publisher and is not affiliated with, endorsed by, or approved by the National Council of State Boards of Nursing (NCSBN) or any nursing program or testing company. These are original, unofficial practice questions, not recalled or official exam items. Exam and credential names identify their subjects; trademarks belong to their respective owners. These questions teach calculation setup only. In practice, follow the prescriber's order, the product label, and your facility's policies, including any required independent double-checks. No resource can guarantee a passing score or licensure.