First, make sure you have plenty of icing on your cupcakes. This is the "glue" that will hold the candy mortar boards you just made to the graduation cupcakes. Now, press the candy graduation caps gently into the frosting of the cupcakes, making sure the caps are stable before moving.
Now you can transfer your graduation cupcakes to a tray or cake plate. Cover with a cake cover or transfer to the refrigerator until ready to serve.