Electronic devices may be provided with printed circuits to which integrated circuits and other electrical components may be mounted. A first printed circuit may have a first surface with an array of contact pads arranged in rows and columns. Each column of contact pads may have a series of contact pads separated by gaps. The contact pads in each column may be staggered with respect to the contact pads in adjacent columns such that each contact pad in a given column is horizontally adjacent to associated gaps in the adjacent columns. A component may be mounted to an opposing surface of the printed circuit such that it overlaps one of the gaps between the staggered contact pads. By mounting the component to portions of the first printed circuit that do not overlap the staggered contact pads, the risk of damaging the electrical component during solder reflow operations may be minimized.