1. Sift flour, baking powder, and salt together, set aside. In a large bowl, cream together the margarine and sugar until light and fluffy. Beat in the eggs one at a time, then stir in the vanilla. Gradually blend in the sifted ingredients until fully absorbed. Cover dough, and chill for 2 hours.
2. Preheat oven to 400 degrees F (200 degrees C). Grease cookie sheets. On a clean floured surface, roll out small portions of chilled dough to 1/4 inch thickness. Cut out shapes using cookie cutters. Depending on the shape, you will have the number of cookies.
3. Bake 6 to 8 minutes in the preheated oven, or until edges are barely brown. Remove from cookie sheets to cool on wire racks in room temperature.