IV fluids & fluid balance: practice problems with step-by-step solutions

Free IV fluids & fluid balance practice problems with diagrams, hints and full worked solutions. New values every time, at three levels: maintenance fluids (Holliday–Segar 4-2-1), intake and output balance, infusion completion time.

Free practice problemEasy
maintenance4-2-1? mL/h33 lb

Practice exercise (made-up values, not clinical guidance). A child weighs 33 lb. Using 1 kg = 2.2 lb and the Holliday–Segar 4-2-1 rule, find the hourly maintenance fluid rate R in mL/h.

33 lb1 kg = 2.2 lb4-2-1
mL/h

Exact answer: a whole number, no rounding.

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What you practise

  1. Easymaintenance fluids (Holliday–Segar 4-2-1)
  2. Mediumintake and output balance
  3. Hardinfusion completion time

Key formulas

Holliday–Segar per hour
4 mL/kg (first 10 kg) + 2 mL/kg (next 10 kg) + 1 mL/kg (each kg above 20)
Holliday–Segar per day
100 / 50 / 20 mL/kg for the same bands
Fluid balance
intake − output
Ice chips
count as half their volume
Urine output
mL/kg/h = mL / (kg × h)
Infusion time
time (h) = volume left (mL) / rate (mL/h)
Volume infused
mL = rate × time

Learn IV fluids & fluid balance from scratch

Before this: IV infusion rates

1Why fluids are counted

The body needs a steady supply of water to replace what it loses through urine, sweat and breathing. A patient who cannot drink enough may receive maintenance fluids through an IV line.

Nurses also keep an intake and output record. Every drink, IV bag and IV medication goes in the intake column. Urine, vomit and drain fluid go in the output column. The difference shows whether the patient is gaining or losing fluid.

This topic has three parts: how much maintenance fluid a child needs, how to add up an intake and output record, and when an infusion will finish.

2Maintenance fluids: Holliday–Segar

The Holliday–Segar method estimates daily maintenance fluid from body weight. The weight is split into bands, and each band has its own amount per kg:

  • the first 10 kg: 100 mL/kg/day, or 4 mL/kg/h;
  • the next 10 kg (from 10 to 20 kg): 50 mL/kg/day, or 2 mL/kg/h;
  • every kg above 20: 20 mL/kg/day, or 1 mL/kg/h.

The hourly version is called the 4-2-1 rule and the daily version the 100-50-20 rule. They give slightly different numbers, because 100 mL/day is about 4.2 mL/h. Use the version the question names.

Each band only counts the kilograms inside it. A 15 kg child gets 4 × 10 for the first 10 kg and 2 × 5 for the other 5 kg.

15 kg: 4 · 10 + 2 · 5 = 40 + 10 = 50 mL/h
Self-check With the 4-2-1 rule, what is the hourly maintenance rate for a 15 kg child?
  1. 15 mL/h
  2. 30 mL/h
  3. 50 mL/h
  4. 60 mL/h

Answer: 50 mL/h. First 10 kg: 4 × 10 = 40 mL/h. Remaining 5 kg: 2 × 5 = 10 mL/h. Total 50 mL/h. Using 4 mL/kg for all 15 kg (60 mL/h) ignores the bands.

3Intake, output and balance

Add everything that went in, add everything that came out, and subtract:

fluid balance = total intake − total output
  • Intake: oral fluids, tube feeds, IV infusions (rate × hours) and IV medications or flushes. Ice chips count as half their volume, because ice melts to about half its volume in water.
  • Output: urine, vomit, drains and other measured losses.

A negative balance means the patient lost more than they took in. A positive balance means a net gain.

Urine output is often checked per kg of body weight per hour:

urine output (mL/kg/h) = urine (mL) / (weight (kg) × hours)
Self-check In one shift a patient takes in 1500 mL and puts out 1800 mL. What is the fluid balance?
  1. +300 mL, a net gain
  2. 3300 mL
  3. −300 mL, a net gain
  4. −300 mL, a net loss

Answer: −300 mL, a net loss. Balance = intake − output = 1500 − 1800 = −300 mL. A negative balance is a loss. 3300 adds output to intake instead of subtracting it.

4The method step by step

For maintenance fluids:

  1. Convert the weight to kg if needed (lb ÷ 2.2).
  2. Split the weight into the bands: up to 10 kg, 10 to 20 kg, above 20 kg.
  3. Multiply each part by its rate and add the parts.

For an intake and output record:

  1. List every intake item. Halve the ice chips. Multiply an IV rate by the hours it ran.
  2. Add the intake, then add the output.
  3. Subtract: intake − output. For urine output per kg per hour, divide by weight and hours.

For infusion times: time = volume left / rate, and volume infused = rate × time. Turn decimal hours into minutes (× 60) before you add them to a clock time.

5A worked example

Follow every step. Try to predict the next one before you open it. All values are made up for practice.

Worked example

Use the Holliday–Segar 4-2-1 rule to find the hourly maintenance fluid rate R for a child who weighs 26 kg.

1

Split the weight

26 kg = the first 10 kg + the next 10 kg + 6 kg above 20.

2

First 10 kg

4 mL/kg/h × 10 kg = 40 mL/h
3

Next 10 kg

2 mL/kg/h × 10 kg = 20 mL/h
4

Above 20 kg

1 mL/kg/h × 6 kg = 6 mL/h
5

Add the bands

R = 40 + 20 + 6 = 66 mL/h

Check with the daily rule: 1000 + 500 + 120 = 1620 mL/day, and 1620/24 = 67.5 mL/h. That is close, as expected.

Answer

R = 66 mL/h.

6Common mistakes

  • Multiplying the whole weight by one rate instead of using the bands.
  • Counting ice chips at their full volume.
  • Forgetting the IV infusion or IV medications in the intake.
  • Subtracting the wrong way: balance is intake minus output.
  • Reading decimal hours as minutes: 4.17 h is 4 h 10 min, not 4 h 17 min.
Self-check A 500 mL bag starts at 14:00 and runs by pump at 120 mL/h. At what time is it empty?
  1. 04:10
  2. 18:00
  3. 18:10
  4. 18:17

Answer: 18:10. 500/120 = 4.17 h. The 0.17 h is 0.17 × 60 ≈ 10 min, so 4 h 10 min after 14:00 is 18:10. Reading 4.17 as 4 h 17 min gives 18:17. 04:10 is the duration, not the clock time.

7How exam questions look

  • Easy: maintenance fluids with the Holliday–Segar 4-2-1 rule (mL/h) or the 100-50-20 rule (mL/day), sometimes with the weight in pounds.
  • Medium: an intake and output record for one shift: the total intake, the fluid balance, or the urine output in mL/kg/h.
  • Hard: infusion completion time: the hours until a bag is empty, the volume left at a given clock time, or a bag whose rate is changed partway.

All values in these questions are made up for practice and are not clinical guidance. Real fluid prescriptions depend on the patient and on local protocols.

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Worked examples

Example 1Easy
maintenance4-2-1? mL/h43 kg

Practice exercise (made-up values, not clinical guidance). Use the Holliday–Segar 4-2-1 rule to find the hourly maintenance fluid rate R in mL/h for a child who weighs 43 kg.

43 kg4-2-1

Find R (mL/h)

Show hints
  1. Split the weight into bands: the first 10 kg, the next 10 kg and the rest.
  2. Multiply each band by its rate: 4, 2 and 1 mL/kg/h.
  3. first 10 kg: 4·10 = 40 mL/h.
Show the answer and the step-by-step solution

Holliday–Segar maintenance: per hour, 4 mL/kg for the first 10 kg, 2 mL/kg for the next 10 kg and 1 mL/kg for every kg above 20 (the 4-2-1 rule). Per day, the same bands use 100, 50 and 20 mL/kg (100-50-20). Each band applies only to the kilograms inside it. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.

Rate per band

first 10 kg: 4·10 = 40 mL/h
next 10 kg: 2·10 = 20 mL/h
each kg above 20: 1·23 = 23 mL/h

Add the bands

R = 83 mL/h

Answer

R = 83 mL/h
Example 2Medium
IntakeOutput12-hour shiftsoup150 mLtea200 mLmilk200 mLIV infusion75 mL/h × 12 hIV antibiotic2 × 100 mLurine275 mLurine250 mLurine300 mLvomit100 mL

Practice exercise (made-up values, not clinical guidance). The record shows a patient's intake and output for one 12-hour shift. The IV infusion ran at the rate shown for the whole shift. Find the fluid balance B = intake − output in mL (a negative answer means a net loss).

soup: 150 mLtea: 200 mLmilk: 200 mLIV infusion: 75 mL/h × 12 hIV antibiotic: 2 × 100 mLurine: 275 mLurine: 250 mLurine: 300 mLvomit: 100 mL

Find B (mL)

Show hints
  1. Add up the intake and the output separately.
  2. The IV infusion volume is rate × number of hours.
  3. total intake = 1650 mL.
Show the answer and the step-by-step solution

Intake and output: intake counts everything that goes in (oral fluids, IV infusions, IV medications and flushes, tube feeds); ice chips count as half their volume. Output counts urine, drains, vomit and other losses. Balance = total intake − total output; a negative balance is a net loss. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.

Total intake

oral: 150 + 200 + 200 = 550 mL
IV infusion: 75·12 = 900 mL
IV antibiotic: 2·100 = 200 mL
total intake = 1650 mL

Total output

275 + 250 + 300 + 100 = 925 mL

Balance

B = 1650 − 925 = 725 mL

Answer

B = 725 mL

Positive: more fluid went in than came out.

Example 3Hard
1000 mL450 mL infused120 mL/h09:00t = ? h

Practice exercise (made-up values, not clinical guidance). A 1000 mL bag runs by pump at 120 mL/h. At 09:00, 450 mL have already been infused. How many hours t until the bag is empty? Round to one decimal place.

1000 mL450 mL infused120 mL/h

Find t (h)

Show hints
  1. Volume left = bag volume − volume infused.
  2. Time = volume left/rate.
  3. 1000 − 450 = 550 mL.
Show the answer and the step-by-step solution

Infusion time: time (h) = volume to infuse (mL)/rate (mL/h); use the volume still left in the bag, not the bag size. Volume infused = rate × time. Convert decimal hours to hours and minutes with the fraction × 60 (0.5 h = 30 min, not 50 min). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.

Volume left

1000 − 450 = 550 mL

Time

t = 550/120 = 4.583 ≈ 4.6 h

Answer

t = 4.6 h

That is about 4 h 35 min, so the bag runs out at about 13:35.

Questions and answers

What is IV fluids & fluid balance?

The body needs a steady supply of water to replace what it loses through urine, sweat and breathing. A patient who cannot drink enough may receive maintenance fluids through an IV line.

Nurses also keep an intake and output record. Every drink, IV bag and IV medication goes in the intake column. Urine, vomit and drain fluid go in the output column. The difference shows whether the patient is gaining or losing fluid.

How do I solve IV fluids & fluid balance problems step by step?

Holliday–Segar maintenance: per hour, 4 mL/kg for the first 10 kg, 2 mL/kg for the next 10 kg and 1 mL/kg for every kg above 20 (the 4-2-1 rule). Per day, the same bands use 100, 50 and 20 mL/kg (100-50-20). Each band applies only to the kilograms inside it. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.

What are common mistakes in IV fluids & fluid balance?
  • That is the daily volume (100-50-20 method). The question asks for the hourly rate with 4, 2 and 1 mL/kg/h.
  • 4 mL/kg applies only to the first 10 kg. The next 10 kg get 2 mL/kg and each kg above 20 gets 1 mL/kg.
  • Only the kilograms above 20 get 1 mL/kg: subtract the first 20 kg before multiplying.
What do the IV fluids & fluid balance exercises cover?
  • Easy: maintenance fluids (Holliday–Segar 4-2-1)
  • Medium: intake and output balance
  • Hard: infusion completion time

Every problem has new values, so you learn the method instead of an answer. Stuck? Open a small hint first, and the full explanation only when you need it.

How practising works

  • Every problem has new values, so you learn the method instead of an answer.
  • Stuck? Open a small hint first, and the full explanation only when you need it.
  • Your progress, mistakes and saved problems are kept, so you can review before the exam.

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