For a low-cost no-slip mat to use under workpieces that you sand or rout, check in the rug section of your local discount store.

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For a low-cost no-slip mat to use under workpieces that you sand or rout, check in the rug section of your local discount store. The anti-slip pads that go under most throw rugs cost a fraction of what you'll pay for router pads. You can buy these in rolls large enough to cover a benchtop, and the open-mesh designs help prevent sawdust build-up on the surface.
—Harry Baribault, Indialantic, Fla.