Context : Aims : We searched the SuperWASP archive for objects that display multiply periodic photometric variations . Methods : Specifically we sought evidence for eclipsing binary stars that display a further non-harmonically related signal in their power spectra . Results : The object 1SWASP~J050634.16–353648.4 has been identified as a relatively bright ( V \sim 11.5 ) semi-detached eclipsing binary with a 5.104 d orbital period that displays coherent pulsations with a semi-amplitude of 65 mmag at a frequency of 13.45 d ^ { -1 } . Follow-up radial velocity spectroscopy with the Southern African Large Telescope confirmed the binary nature of the system . Using the phoebe code to model the radial velocity curve with the SuperWASP photometry enabled parameters of both stellar components to be determined . This yielded a primary ( pulsating ) star with a mass of 1.73 \pm 0.11 M _ { \odot } and a radius of 2.41 \pm 0.06 R _ { \odot } , as well as a Roche-lobe filling secondary star with a mass of 0.41 \pm 0.03 M _ { \odot } and a radius of 4.21 \pm 0.11 R _ { \odot } . Conclusions : 1SWASP~J050634.16–353648.4 is therefore a bright \delta Sct pulsator in a semi-detached eclipsing binary with one of the largest pulsation amplitudes of any such system known . The pulsation constant indicates that the mode is likely a first overtone radial pulsation .