A tandem mass spectrometer includes a two-dimensional ion trap that has an elongated ion-trapping region extending along a continuously curving path between first and second opposite ends thereof. The elongated trapping region has a central axis that is defined substantially parallel to the curved path and that extends between the first and second opposite ends. The two-dimensional ion trap is configured for receiving ions through the first end and for mass selectively ejecting the ions along a direction that is orthogonal to the central axis, such that the ejected ions are directed generally toward a common point. The tandem mass spectrometer also includes a collision cell having an ion inlet that is disposed about the common point for receiving the ions that are ejected therefrom and for causing at least a portion of the ions to undergo collisions and form product ions by fragmentation. A mass analyzer in communication with the collision cell receives the product ions from the collision cell and obtains product ion mass spectra with a rapid scan rate. In this way, a plurality of product ion spectra may be obtained for a large number of precursor ions in a sample without the need for data-dependent operation.