Using a data sample corresponding to an integrated luminosity of 1.0 fb-1, collected by LHCb in pp collisions at a centre-of-mass energy of 7 TeV, the D+, D+, B0 and Bs0 production asymmetries are determined. These quantities are measured by means of Ds+ →ϕ(K+K-)π+, D+ →Ks0(π+π-)π+, B0→J/ψ(μ+μ-)K*0(K+ π-), B0→D-(K+π-π-)π+ and Bs0→Ds-(K+K-π-)π+ decays. Moreover, using the full LHCb Run 1 integrated luminosity, corresponding to 1.0 fb-1 at 7 TeV and 2.0 fb-1 at 8 TeV, the production and decay asymmetry of the Λ0b baryon, AP+D(Λ0b), is determined by means of Λ0b →J/ φ(μ+μ-)pK– decays. All asymmetries are measured as a function of pT and y (or η in the D+, B0 and Bs0 cases) of the involved hadrons, in order to check if there is a dependence on kinematics.