Preheat the oven to 400°F/204°C.
Line a baking tray with parchment paper. Set aside.
In a food processor, add in the butter, all-purpose flour, sifted matcha powder, baking powder and sugar.
Pulse intermittently until the mixture becomes sandy or mealy, like coarse bread crumbs.
Gradually add in the heavy cream while pulsing a few times, just until the dough starts to form. Don't over mix the dough or it will become tough.
Dump the mixture onto your work surface or a large piece of parchment paper and gently shape into a square, about ¾" inch thick.
Use a sharp knife to cut into 4 triangles (on the diagonal) and place onto the lined baking tray.
Place into the freezer for 15-20 minutes to chill.
Remove from the freezer and brush the tops of the scones with 1 tablespoon reserved heavy cream.
Top with a few flaked almonds and sprinkle the tops with sugar (optional)
Bake for 18-22 minutes at 400°F/204°C until lightly golden. If your oven runs hot, cover with a piece of aluminum foil over top.
Remove from oven and let cool before glazing.