This paper proposes a 4-step block method for the numerical solution of first to fifth orders of ordinary differential equations (ODEs). The coefficients of the proposed scheme are obtained through interpolation and collocation techniques using a polynomial as its basis function. The derivatives were collocated at grid and off-grid points, excluding the endpoints and the method is of order 9. The stability properties of the proposed formulas are analyzed. The results obtained from our numerical experiments indicated that the new scheme outperforms other existing methods in the literature regarding accuracy when compared.