Heat the oven to 425° Fahrenheit. Line a rimmed baking sheet with parchment or a silpat.
In a large bowl, whisk together the flour, baking soda, cream of tartar, salt, pepper, caraway, and cheddar.
In a small bowl whisk together the egg and buttermilk.
Stir in the buttermilk mixture to the flour and mix until fully incorporated and forms a sticky ball.
Flour your hands and place the very sticky dough onto a heavily floured work surface. Roughly knead the dough into a ball shape.
Place the dough ball onto the lined baking sheet. With a sharp knife cut an X on top of the soda bread.
Season the top with a pinch more salt and pepper. Bake in the oven for 25-30 minutes until the top is golden brown.
Let cool for 15 minutes before slicing.