Dynamic\nmetamolecules (DMMs) are composed of a hydrogel dielectric\ncore surrounded by randomly packed plasmonic nanobeads. The optical\nproperties of DMMs can be tuned by controlling their core diameter\nusing temperature variations. We have recently shown that DMMs display\nstrong optical magnetism, including magnetic dipole and magnetic quadrupole\nresonances, offering significant potential for novel applications.\nHere, we use a T-matrix approach to characterize the magnetic multipole\nresonance modes of model metamolecules and explore their presence\nin experimental data. We show that high-order multipole resonances\nbecome prominent as the nanobead or the overall structure size is\nincreased and when the interbead gap is decreased. In this limit,\nmode mixing among high-order magnetic multipole modes also becomes\nsignificant, particularly in the directional scattering spectra. We\ndiscuss trends in magnetic scattering observed in both experiments\nand simulations and provide suggestions for the experimental design\nand verification of high-order optical magnetic resonances using forward\nand backward scattering measurements. In addition, we show that the\nangular scattering of higher-order magnetic modes can display Fano-like\ninterference patterns, which should also be experimentally detectable.