No keyboard/mouse connected does not give POST beeps.
Begin by disconnecting all non-essential peripherals (keyboard, mouse, hard drive, floppy, cdrom). Bare minimum needed to boot is power, video card, memory, processor.
Boot. Successful? Add peripherals one at a time till you locate problem device. Still no boot? Keep going.
Take the video card out. Ensure motherboard supports video card (i.e. AGP8x versus AGP4x etc).
Boot. You should get one long two short beeps. No beeps? Potentially a bad motherboard. Keep going.
Remove memory- verify it is of the correct specification for the board/processor being used.
Boot.
Should get lots of beeps and sound pissed off. No beeps? Potentially a bad motherboard. Keep going.
Put video back in.
Put memory back in.
Boot.
Normal? Good- memory and/or video not seated properly. No boot still? Keep going.
Remove processor carefully. Examine bottom side of processor and check for bent pins. Reinstall processor carefully making sure it seats correctly. Lower the processor retention arm. Reinstall heatsink if removed from processor.
Boot.
Normal? Good- processor was not seated properly. Nothing? Keep going.
Reset bios per board manufacturers instructions.
Boot.
Still nothing? Try another video card. AGP or PCI should work.
Boot.
Still nothing? Recommend trying another motherboard.