The neutron-rich radium isotopes, ${}^{222-233}\mathrm{Ra}$, were measured with Collinear Resonance Ionization Spectroscopy (CRIS) at the ISOLDE facility, CERN. The hyperfine structure of the $7s^2{}^{1}S_0\to 7s7p{}^{3}P_1$ transition was probed, allowing measurement of the magnetic moments, quadrupole moments, and changes in mean-square charge radii. These results are compared to existing literature values, and the new moments and change in mean-square charge radii of ${}^{231}\mathrm{Ra}$ are presented. Low-resolution laser spectroscopy of the very neutron-rich ${}^{233}\mathrm{Ra}$ has allowed the isotope shift and relative charge radius to be determined for the first time.