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1Formulas and methods
Pediatric nursing
Method
Note the child’s age first: it sets the normal vital signs, the milestones and the right pain scale.
Assess airway, breathing and circulation, remembering that children compensate and then deteriorate fast.
Match the action to the development stage and involve the family.
Check that the answer is safe for a child: weight-based, no aspirin in viral illness, no codeine under 12.
Pediatric & critical-care dosing
Daily dose
mg/day = mg/kg/day × weight (kg)
Doses per day
number = 24 h / dosing interval (h)
Pounds to kilograms
kg = lb / 2.2
Infusion concentration
units/mL = units in bag / bag volume
Pump rate
mL/h = dose per hour / concentration
Titrated drip
mL/h = mcg/kg/min × kg × 60 / (mcg/mL)
Dose from pump rate
mcg/kg/min = mL/h × (mcg/mL) / (60 × kg)
Units
1 mg = 1000 mcg
IV fluids & fluid balance
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
2Practice problems
1.Pediatric nursingMedium
Which finding in a newborn suggests Hirschsprung disease?
AA barking cough
BBright yellow, loose stools
CProjectile vomiting at 4 weeks
DFailure to pass meconium within 48 hours of birth
2.Pediatric nursingHard
A boy with haemophilia A bumps his head hard on a table. He seems well. What should the nurse advise?
AGive aspirin for the pain and apply ice to the bump
BWatch him at home for a week and bring him in only if he vomits or has a headache
CNo action is needed, because head bleeds are rare in haemophilia
DSeek urgent care, as factor replacement may be needed before symptoms appear
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). An infusion contains 50 units of regular insulin in 50 mL. The order is 0.05 units/kg/h for a patient who weighs 94 kg. Find the pump rate R in mL/h. Round to one decimal place.
50 units/50 mL0.05 units/kg/h94 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A patient who weighs 85 kg has an order for nitroglycerin at 20 mcg/min. The bag contains 50 mg in 250 mL. Find the pump rate R in mL/h. Round to one decimal place.
50 mg/250 mL20 mcg/min85 kg
R = mL/h
5.IV fluids & fluid balanceMedium
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 total intake I in mL.
milk: 240 mLsoup: 180 mLwater: 250 mLIV infusion: 50 mL/h × 12 hIV antibiotic: 1 × 100 mL
I = mL
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 1000 mL bag was started at 13:15 and runs by pump at 60 mL/h. How many mL V are left in the bag at 18:45?
1000 mL60 mL/h13:15 → 18:45
V = mL
3Solutions
1.Pediatric nursing
Answer: D · Failure to pass meconium within 48 hours of birth
Why this is the answer
Delayed passage of meconium, abdominal distension and bilious vomiting suggest Hirschsprung disease. Older children may have chronic constipation and ribbon-like stools.
Answer
D · Failure to pass meconium within 48 hours of birth
2.Pediatric nursing
Answer: D · Seek urgent care, as factor replacement may be needed before symptoms appear
Why this is the answer
Intracranial bleeding is the most dangerous bleed in haemophilia and can develop hours after injury. Any significant head injury needs urgent assessment and usually prompt factor replacement. Aspirin is avoided because it impairs platelet function.
Answer
D · Seek urgent care, as factor replacement may be needed before symptoms appear
3.Pediatric & critical-care dosing
Answer: R = 4.7 mL/h
Heparin and insulin infusions: concentration = units in the bag/bag volume (units/mL). Pump rate (mL/h) = units per hour/concentration, and units per hour = mL/h × concentration. For a weight-based order, units/h = units/kg/h × weight first. A bolus volume = units needed/vial strength. The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Units per hour
0.05·94 = 4.7 units/h
Concentration
50/50 = 1 units/mL
Pump rate
R = 4.7/1 = 4.7 mL/h
Answer
R = 4.7 mL/h
4.Pediatric & critical-care dosing
Answer: R = 6 mL/h
Titrated drips: first find the concentration in mcg/mL (mg × 1000/mL). For a weight-based order, mcg/min = mcg/kg/min × weight. Then mL/h = mcg/min × 60/concentration. Working backwards, mcg/kg/min = mL/h × concentration/(60 × weight). The numbers are for practice only; at the bedside always follow local protocols and have high-risk doses double-checked.
Concentration
50 000/250 = 200 mcg/mL
Dose per hour
The order is per minute for the whole patient, so the weight is not needed.
20·60 = 1200 mcg/h
Pump rate
R = 1200/200 = 6 mL/h
Answer
R = 6 mL/h
5.IV fluids & fluid balance
Answer: I = 1370 mL
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.
Add the intake
oral: 240 + 180 + 250 = 670 mL
IV infusion: 50·12 = 600 mL
IV antibiotic: 1·100 = 100 mL
I = 1370 mL
Answer
I = 1370 mL
6.IV fluids & fluid balance
Answer: V = 670 mL
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.