We report dc and ac magnetization of the newly discovered
Cd-Mg-RE quasicrystals (RE = Gd, Tb, Dy, Ho, Er, Tm and Yb).
For all the RE atoms except Yb, the temperature dependence of the dc
magnetization obeys the Curie-Weiss law at higher temperatures, T>50 K.
Estimated effective moments indicate that these atoms are in the trivalent
states. In contrast, the Cd-Mg-Yb quasicrystal shows very small magnetization,
suggesting that Yb is in the non-magnetic divalent state.
At lower temperatures, spin-glass-like freezing was observed for the
RE atoms except Tm and Yb.
In particular, the freezing proceeds in two successive steps for
RE = Gd, Tb, Dy and Ho, being quite different from canonical
spin-glasses.