We present a sample of sources with convex radio spectra peaking at frequencies above a few GHz, known as ``High Frequency Peakers" (HFPs). A ``bright" sample with a flux density limit of 300 mJy at 5 GHz has been presented by Dallacasa et al. (2000). Here we present the ``faint" sample with flux density between 50 and 300 mJy at 5 GHz, restricted to the area around the North Galactic Cap, where the FIRST catalogue is available. The candidates have been observed with the VLA at several frequencies ranging from 1.4 to 22 GHz, in order to derive a simultaneous radio spectrum. The final list of confirmed HFP sources consists of 61 objects.