An assessment of implementing an oscillation free FRAM algorithm on the flow-oriented skew upwind and QUICK schemes is made in this study for convection dominated flow problem. The monotonically bounded FARM method, along with the attractive properties of flow-oriented QUICK and skew upwind schemes, can capture the nearly discontinuous phenomena in the flow field. The candidates of QUICK-family include original QUICK, QUICK for two dimensions (QUICK-2D), and QUICK with Estimated Streaming Terms (QUICKEST). The candidates in skew family include Skew Upwind Differencing (SUD), Skew Upwind Differencing with artificial Cutoff (SUD-Cut), Volume-Weighted Skew Upwind Differencing (VWSUD), Corner Skew Upwind Differencing (CSUD), and Directional Transportive Upwind Differencing (DTUD) schemes. The performance of filtering methodology on the investigated schemes is evaluated by testing the following three problems: (1) Pure convection of an obilque-step profile, (2) Transport of a cosine hill or rectangular block in a rotating flowfield, (3) Backward-facing step and driven cavity problems. The best schemes among the investigated two families are QUICKEST and DTUD respectively.