We discuss radiative electroweak symmetry breaking with non-universal scalar masses at the GUT scale. Large tan β solutions are investigated in detail and it is shown that qualitatively new (as compared to the universal case) solutions exist, with much less correlation between soft terms. We identify two classes of nonuniversalities which give solutions withIn each case, after imposing gauge and Yukawa coupling unification, we discuss the predictions for m t , m b and the spectrum of supersymmetric particles. One striking consequence is the possibility of light charginos and neutralinos which in the second option can be higgsino-like. Cosmological constraint on the relic abundance of the lightest neutralino is also included.