How can I explain a Zero Knowledge Proof with minimal mathematics

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I asked this earlier on how to explain a Zero Knowledge Proof to a layman. but I'm looking for a mathematical analogy that might "enhance" the superpower explanation.

In that linked superpower, that is simply a Sum() and a compare to a previous value.

Is there an alternative, math-focused analogy that would get the idea across what a ZKP is? (opposed to a hash, or a public private key)

My goal is to get people curious about math and to dive deeper into the subject, without being confused or overwhelmed by lack of knowledge beyond Algebra.