Scuff-marked floors are caused by shoes traipsing across the surface and chairs sliding around and grinding onto vinyl or linoleum. Many floors in college dorm rooms are so caked in scuff marks it is a mystery what color the floor was originally. Household cleaners and cloths aren't always strong enough to remove the marks, but they'll sure make them sparkle!
Here's something that actually works: toothpaste removes scuff marks on vinyl or linoleum floors. Rub the paste into the mark and wipe with a damp cloth. A little baking soda added to the toothpaste can provide scrubbing power. Use white toothpaste instead of gel, unless you want sparkly blue floors.