How AI is perceived by the public can have significant im-pact on how it is developed, deployed and regulated. Some commentators argue that perceptions are currently distorted or extreme. This paper discusses the results of a nationally representative survey of the UK population on their percep-tions of AI. The survey solicited responses to eight common narratives about AI (four optimistic, four pessimistic), plus views on what AI is, how likely it is to impact in respond-ents’ lifetimes, and whether they can influence it. 42% of respondents offered a plausible definition of AI, while 25% thought it meant robots. Of the narratives presented, those associated with automation were best known, followed by the idea that AI would become more powerful than humans. Overall results showed that the most common visions of the impact of AI elicit significant anxiety. Only two of the eight narratives elicited more excitement than concern (AI making life easier, and extending life). Respondents felt they had no control over AI’s development, citing the power of corpora-tions or government, or versions of technological determin-ism. Negotiating the deployment of AI will require contend-ing with these anxieties.