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We present the results of the first complete unbaised survey of the GalacticPlane for 6035-MHz excited-state hydroxyl masers undertaken as part of theMethanol Multibeam Survey. These observations cover the Galactic longituderanges $186^{\circ}< l < 60^{\circ}$ including the Galactic Centre. We reportthe detection of 127 excited-state hydroxyl masers within the survey region, 47being new sources. The positions of new detections were determined frominterferometric observations with the Australia Telescope Compact Array. Wediscuss the association of 6035-MHz masers in our survey with the 6668-MHzmasers from the MMB Survey, finding 37 likely methanol-excited-state hydroxylmasers maser pairs with physical separations of <=0.03pc and 55 pairingsseparated by <=0.1pc. Using these we calculate for the first time anexcited-state hydroxyl maser life time of between 3.3x10^3 and 8.3x10^3 years.We also discuss the variability of the 6035-MHz masers and detection rates ofcounterpart 6030-MHz excited-state hydroxyl masers (28% of our sample havingdetection at both frequencies).

Excited-state hydroxyl maser catalogue from the methanol multibeam survey -- I. Positions and Variability