After a child suffers a bleeding head injury, what is the appropriate first step?

Applying direct pressure is vital when dealing with a bleeding head injury. This immediate action helps to control bleeding by compressing the wound, which encourages clotting and minimizes blood loss. Direct pressure should be applied using a clean cloth or bandage, and it is essential to maintain this pressure until professional medical assistance arrives.

Other interventions like applying a tourniquet are reserved for severe limb injuries and are not appropriate for head injuries. Transporting the child to the hospital is necessary but should occur after you have taken initial steps to control the bleeding. Additionally, applying ice might help with swelling but is not the first priority—controlling the bleeding is critical to prevent further complications. Hence, focusing on direct pressure is the first and most suitable response in this scenario.