Preheat the oven to 375°F (190°C) and line a baking sheet with parchment paper.
In a mixing bowl, combine the shredded cheddar cheese, softened cream cheese, diced pimentos, mayonnaise, garlic powder, onion powder, cayenne pepper, salt, and pepper. Mix until well blended.
Using a teaspoon, drop heaping spoonfuls of the pimento cheese mixture onto the prepared baking sheet, leaving space in between each dollop to allow for spreading.
Gently flatten each dollop to form small rounds.
Sprinkle cornmeal over the top of each cheese round to create a crispy base.
Bake in the preheated oven for about 10 minutes, or until the edges are golden and the cheese is bubbly.
Remove from the oven and let cool slightly before serving.
Serve with crackers or fresh vegetables for a more substantial snack.