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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 at an 18-month check requires referral for developmental assessment?
AThe child is afraid of strangers
BThe child says only a few words
CThe child is not yet walking independently
DThe child plays alongside other children rather than with them
2.Pediatric nursingHard
A toddler has burns on both feet and the buttocks, with sharp "stocking" lines and no splash marks. What should the nurse consider?
APossible deliberate immersion; follow the safeguarding procedure
BSunburn from playing outside in a paddling pool on a hot day
CA skin infection that looks like a burn
DAn accidental spill from a cup of tea
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A bag contains 20 000 units of heparin in 500 mL. The order is 15 units/kg/h for a patient who weighs 93 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
20 000 units/500 mL15 units/kg/h93 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A bag contains dobutamine 250 mg in 250 mL. The order is 10 mcg/kg/min for a patient who weighs 52 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
250 mg/250 mL10 mcg/kg/min52 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 8-hour shift. The patient weighs 105 kg. Find the average urine output U in mL/kg/h. Round to two decimal places.
105 kg8 hurine: 500 mLurine: 350 mLwound drain: 40 mL
U = mL/kg/h
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 500 mL infusion starts at 19:30 at 100 mL/h. After 3 hours the rate is changed to 80 mL/h and is not changed again. How many hours t after the start will the bag be empty? Round to one decimal place.
500 mL100 mL/h · 3 h80 mL/h
t = h
3Solutions
1.Pediatric nursing
Answer: C · The child is not yet walking independently
Why this is the answer
Not walking by about 18 months is a red flag. A few words, parallel play and stranger wariness are typical at this age.
Answer
C · The child is not yet walking independently
2.Pediatric nursing
Answer: A · Possible deliberate immersion; follow the safeguarding procedure
Why this is the answer
Symmetrical burns with clear edges on the feet, hands or buttocks, without splash marks, suggest forced immersion in hot water. The nurse documents the findings accurately and follows local safeguarding procedures.
Answer
A · Possible deliberate immersion; follow the safeguarding procedure
3.Pediatric & critical-care dosing
Answer: R = 34.9 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
15·93 = 1 395 units/h
Concentration
20 000/500 = 40 units/mL
Pump rate
R = 1395/40 = 34.88 ≈ 34.9 mL/h
Answer
R = 34.9 mL/h
4.Pediatric & critical-care dosing
Answer: R = 31.2 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
250 mg = 250 000 mcg
250 000/250 = 1000 mcg/mL
Dose per minute and per hour
10·52 = 520 mcg/min
520·60 = 31200 mcg/h
Pump rate
R = 31200/1000 = 31.2 mL/h
Answer
R = 31.2 mL/h
5.IV fluids & fluid balance
Answer: U = 1.01 mL/kg/h
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 urine
500 + 350 = 850 mL
Per kilogram per hour
U = 850/(105·8) = 1.012 ≈ 1.01 mL/kg/h
Answer
U = 1.01 mL/kg/h
6.IV fluids & fluid balance
Answer: t = 5.5 h
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.
First part
100·3 = 300 mL
500 − 300 = 200 mL left
Second part
200/80 = 2.5 h
Total time
t = 3 + 2.5 = 5.5 h
Answer
t = 5.5 h
That is about 5 h 30 min, so the bag runs out at about 01:00.