High-speed photometry is presented for 12 faint cataclysmic variable (CV) stars that have not previously been investigated. V433 Ari, a dwarf nova, has deep eclipses, an orbital period Porb= 4.698 h and evidence that it is a Z Cam star. OQ Car, another dwarf nova, shows flickering but no orbital modulation. The candidate for V591 Cen, a suspected dwarf nova, is found not to flicker in quiescence, nor does any other star in the vicinity. V1039 Cen (Nova Cen 2001) has characteristics of an intermediate polar, with a rotation period of 719 s and Porb= 5.92 h; there is also a strong brightness modulation at 8.98 h or its 1–d alias of 14.34 h. CAL 86, a dwarf nova, has a double-humped modulation at 1.587 h which is probably the orbital period, but has another modulation 4.5 per cent shorter in period that appears to be a rare example of a negative superhump observed in quiescence, and yet another periodicity at 4.74 h that is probably an example of the still unexplained GW Lib phenomenon. UY Mic, a suspected CV, has no flickering but has a periodic modulation at 4.856 h, which may be from a reflection effect. LB 9963, another suspected CV, is found to have strong flickering but no observable periodicity. V367 Peg, a dwarf nova, has a double-humped light curve with an eclipse at one of the minima and Porb= 3.89 h, strongly resembling BD Pav with an evolved secondary. Sgr, a possible nova type, discovered by the massive compact halo object survey, has a 2.808-h brightness modulation with occasional apparent secondary eclipses of unknown cause. RX J0403+044, a suspected CV, has low- and high-luminosity states, with a conspicuous 1012.7-s oscillation in the high state and an oscillation with a period near to twice that in the low state. V382 Vel (Nova Vel 1999) has a clear modulation with amplitude 0.12 mag and period 3.795 h, and also a quasi-periodic oscillation (QPO) at 2570 s and a longer period dwarf nova oscillation at 725 s. SY Vol, a dwarf nova, has no indication of any orbital modulation.