Patients aged 16 years and older with a histologically confirmed diagnosis of ASPS will be recruited. Eligible patients will be randomised to receive cediranib (30 mg daily po) or placebo (30 mg daily po) in a 2:1 ratio. At 24 weeks post randomisation, treatment will be unblinded after which time all patients on placebo and those who have not progressed on active treatment will be given cediranib. Treatment will then continue until objective disease progression or death.