No, a Distinction in a City & Guilds numeracy qualification is
not directly equivalent to a GCSE. While both assess numeracy skills, they are different qualifications with different awarding bodies, assessment methods, and content. A GCSE is a nationally recognised qualification in England, Wales, and Northern Ireland, whereas City & Guilds offers vocational qualifications.
A City & Guilds qualification might be *comparable* to a GCSE in terms of the level of numeracy demonstrated, particularly at a Distinction level. However, there's no official equivalence. Employers may view it differently depending on their specific needs and the context of the role.