FIGURE 9.2 How to Balance a Scale Piaget’s balance-scale test of formal reasoning, as it is attempted by (a) a 4-year-old, (b) a 7-year-old, (c) a 10-year-old, and (d) a 14-year-old. The key to balancing the scale is to make weight times distance from the centre equal on both sides of the centre; the realization of that principle requires formal operational thought.