Weech formulas

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Weech formulas pediatrics height weight age

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The library doesn't have a dedicated Weech formula entry, but the web search returned comprehensive results. Here is the full breakdown:

Weech Formulas

Named after Dr. A.A. Weech, these are quick bedside/exam formulas to estimate expected anthropometric parameters in children aged 3 months to 12 years. They are widely used in pediatrics, particularly in growth assessment and nutritional screening.

1. Expected Weight

Age GroupFormula
3-12 monthsWeight (kg) = (Age in months + 9) / 2
1-6 yearsWeight (kg) = (Age in years × 2) + 8
7-12 yearsWeight (kg) = (Age in years × 7 - 5) / 2
Examples:
  • 6-month-old: (6 + 9) / 2 = 7.5 kg
  • 3-year-old: (3 × 2) + 8 = 14 kg
  • 10-year-old: (10 × 7 - 5) / 2 = 32.5 kg

2. Expected Height

For 2-12 years:
Height (cm) = (Age in years × 6) + 77
Examples:
  • 3-year-old: (3 × 6) + 77 = 95 cm
  • 7-year-old: (7 × 6) + 77 = 119 cm

3. Expected Head Circumference

AgeFormula
< 1 yearHC (cm) = (Height in cm / 2) + 10
> 1 yearHC (cm) = (Age in years / 2) + 33
Alternatively recalled as:
  • At birth: ~34 cm
  • At 1 year: ~47 cm

Quick Reference - Weight Milestones

AgeWeight relative to birth weight (X)
BirthX
5 months2X (doubles)
1 year3X (triples)
2 years4X (quadruples)

Clinical Use

These formulas are used to:
  • Rapidly screen for underweight and stunting without growth charts
  • Calculate drug dosages based on ideal body weight in children
  • Identify malnutrition at the bedside
A 2010 study (PMID: 21744764) validated Weech's formulas as a sensitive tool for detecting underweight and stunting in children aged 12-59 months.

Note: The 1-6 year formula (Age × 2 + 8) is the most commonly tested in exams (NEET PG, USMLE Step 1). For children 7-12 years, some sources simplify to Age × 3 as an approximation.
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