What is the normal resting pulse for a sick 5 year old boy?

Normal is relative. Typically a normal resting pulse for a 5 year old boy can rage from 65 to 135 with the average being 110. Generally when a person of any age is sick, their vital signs increase due to overall discomfort. Also the bodies natural response to defend the immune system makes the body to work much harder even at rest. If he complains of chest pain or shortness of breath, bring him to the er right away.
Awake vs asleep. Normal resting awake rate at that age varies from 60-140, with extra added for fever (10/degree f).Asleep rate runs 60-90 with the fever modifier.