We've all probably been taught to shove tissues in our noses when they bleed. This is actually something you want to avoid doing. Pushing tissues up your nose can potentially irritate your nose as well as cause your nosebleed to restart once you pull the tissue out.
Instead, have a tissue at the opening of your nose outside of the nostril to capture the falling blood and place ice or an ice pack on the bridge of your nose. The ice will restrict the blood flow and stop the bleeding faster than not using ice.