A radiation-sensitive composition includes a radically polymerizable component, initiator composition, a radiation absorbing compound, and a polymeric binder having recurring units that are derived from various ethylenically unsaturated polymerizable monomers provided that at least 40 mol % of the recurring units have a tertiary carbon atom in the backbone and the rest of the recurring units have a secondary or quaternary carbon atom in the backbone. This composition can be used to provide negative-working imageable elements that can be imaged and developed to provide lithographic printing plates that have desired imaging speed and excellent run length without the need for a post-exposure backing step.