Important first: a temperature of 105°F (40.5°C) in a child is a medical emergency according to pediatric emergency guidance (Boston Children's Hospital/AAP, CHOC, CHLA) - this needs immediate medical evaluation, not just home management. Take the child to a pediatrician or ER now, especially if the fever doesn't drop with antipyretics, or if there's difficulty breathing, lethargy, poor fluid intake, stiff neck, rash, or seizure activity.
While arranging that, here is what can be done at home in the meantime:
Antipyretic (fever) - for a 12 kg, 5-year-old:
- Paracetamol (acetaminophen): 10-15 mg/kg/dose → 120-180 mg per dose, every 4-6 hours as needed. Do not exceed 5 doses (or ~75-100 mg/kg) in 24 hours - Park's Textbook of Preventive and Social Medicine, p. 3444; Rosen's Emergency Medicine.
- Ibuprofen (alternative/adjunct, if no contraindication like dehydration, kidney issues, or GI bleeding risk): 5-10 mg/kg/dose → 60-120 mg per dose, every 6-8 hours.
- Never give aspirin to a child with fever/viral illness (risk of Reye syndrome) - Lippincott Illustrated Reviews Pharmacology, p. 4699.
- Current recommendations focus on comfort, not forcing the temperature to normal (Rosen's Emergency Medicine, p. 3051) - but 105°F specifically is treated as an emergency threshold regardless.
Cough and cold (supportive care - there is no cure for the viral common cold):
- Adequate oral fluids and rest.
- Saline nasal drops/spray and gentle suction for nasal congestion.
- Warm fluids, honey (only if the child is over 1 year old - never under 1 due to botulism risk) can soothe cough.
- Humidified air.
- OTC combination cough/cold medicines are generally not recommended for children under 6 years - they carry risk without clear benefit and are a common source of unintentional overdose in young children.
- Antibiotics are not indicated for a common cold/viral URI unless a bacterial complication (e.g., otitis media, bacterial sinusitis, pneumonia) is diagnosed by a doctor.
Bottom line: Give a weight-appropriate paracetamol dose (120-180 mg) now, keep fluids up, and get the child seen urgently given the 105°F reading - a clinician needs to examine the child to rule out a serious source of infection (ear, throat, chest, urine) before you rely on cough/cold as the only explanation.