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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 instruction about preparing powdered infant formula is correct?
AAdd an extra scoop of powder to each bottle to help a small baby gain weight faster
BAdd extra water in hot weather so the baby gets more fluid
CFollow the stated water-to-powder ratio exactly and do not warm bottles in a microwave
DWarm bottles in the microwave, as long as they are shaken first
2.Pediatric nursingHard
A 2-week-old suddenly starts vomiting bright green fluid. What should the nurse do?
ATreat it as a surgical emergency and get urgent medical review
BChange to a lactose-free formula
CAdvise smaller, more frequent feeds and review the baby in a week
DReassure the parents that this is normal reflux
3.Pediatric & critical-care dosingMedium
Practice exercise (made-up values, not clinical guidance). A bag contains 25 000 units of heparin in 250 mL. The order is 15 units/kg/h for a patient who weighs 108 kg. At what rate R do you set the pump, in mL/h? Round to one decimal place.
25 000 units/250 mL15 units/kg/h108 kg
R = mL/h
4.Pediatric & critical-care dosingHard
Practice exercise (made-up values, not clinical guidance). A patient who weighs 70 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/min70 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 81 kg. Find the average urine output U in mL/kg/h. Round to two decimal places.
81 kg8 hurine: 250 mLurine: 350 mLurine: 350 mL
U = mL/kg/h
6.IV fluids & fluid balanceHard
Practice exercise (made-up values, not clinical guidance). A 1000 mL bag was started at 08:00 and runs by pump at 125 mL/h. How many mL V are left in the bag at 12:00?
1000 mL125 mL/h08:00 → 12:00
V = mL
3Solutions
1.Pediatric nursing
Answer: C · Follow the stated water-to-powder ratio exactly and do not warm bottles in a microwave
Why this is the answer
Formula that is too concentrated can cause dehydration and kidney strain, and over-diluted formula can cause poor growth and low sodium. Microwaves heat unevenly and can leave hot spots that burn the mouth.
Answer
C · Follow the stated water-to-powder ratio exactly and do not warm bottles in a microwave
2.Pediatric nursing
Answer: A · Treat it as a surgical emergency and get urgent medical review
Why this is the answer
Bilious vomiting in a newborn suggests bowel obstruction, such as malrotation with volvulus, which can cut off the blood supply to the gut within hours. It needs immediate surgical assessment.
Answer
A · Treat it as a surgical emergency and get urgent medical review
3.Pediatric & critical-care dosing
Answer: R = 16.2 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
15·108 = 1 620 units/h
Concentration
25 000/250 = 100 units/mL
Pump rate
R = 1620/100 = 16.2 mL/h
Answer
R = 16.2 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: U = 1.47 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
250 + 350 + 350 = 950 mL
Per kilogram per hour
U = 950/(81·8) = 1.466 ≈ 1.47 mL/kg/h
Answer
U = 1.47 mL/kg/h
6.IV fluids & fluid balance
Answer: V = 500 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.