Six challenges for the standard cosmological model ΛCDM are listed, which arise when comparing its conclusions with observational data on scales of ∼1 Mpc. The parameters of luminous and dwarf galaxies in the local sphere with a radius of 12 Mpc are presented. The average densities of stellar mass, neutral gas and dark matter are determined depending on the distance in the Local volume. A future of the distribution of angular momentum of nearby galaxies is noted. A comparison of mass estimates for systems of galaxies based on the motions of its internal (virialized) members and neighboring galaxies is given. The reasons for the low value of the dark matter density, Ω_m =0.08±0.02, in the local Universe with respect to the global value Ω_m =0.30±0.02 are discussed.