For Group 1 and 2 compounds:
Thermal Stability of carbonates, nitrates, and hydroxides increases down the group.
Solubility: For salts with small anions (e.g., F$^-$, OH$^-$, CO$_3^{2-}$), solubility generally decreases down the group. For salts with large anions (e.g., SO$_4^{2-}$, I$^-$, NO$_3^-$), solubility generally increases down the group (with the notable exception of Group 2 sulphates, which decrease).