Mix together the ketchup, paste, beef bullion and water. Add the sauce to the beef mixture. Season with black pepper (to taste). Pour into a 9 x 13 pan.
Top the green beans with the mashed potatoes (okay, I have to confessed. I used Ore-Ida Steam and Mash – these were great – two packages of the russett potatoes).
Make sure that the edges are sealed with the potatoes (adds to the yum factor). Sprinkle some sharp cheddar. Bake at 350 degrees for about 45 minutes or until golden brown on top and bubbly.