The cross sections for the reactions 111Cd(n,n′)111mCd, 112Cd(n,2 n)111mCd, 87Sr(n,n′)87mSr, 58Ni(n,p) 58m + gCo, 58Ni(n,2n) 57Ni, and 58Ni[n,d) + (n,np) + (n,pn)] 57Co have been measured by the activation method. Measurements were performed in the energy regions from 2.2 to 3.5 MeV and from 13.7 to 14.8 MeV. The cross sections obtained for the 111Cd and 87Sr reactions indicate that both these isotopes should prove useful as neutron flux monitors. The cross sections obtained for the 58Ni reactions are in good agreement with the results of recent investigations.