Bitcoin faucets have been around since at least 2011. It is believed that Gavin Andresen owned the first one. They come and go and often enough are just advertising scams – the owners want users on their site so they tempt them with free Bitcoin that never actually materializes because before the users have made enough to “cash out” the site has disappeared.
The good news: No advanced math or computation is involved. You may have heard that miners are solving difficult mathematical problems--that's not true at all. What they're actually doing is trying to be the first miner to come up with a 64-digit hexadecimal number (a "hash") that is less than or equal to the target hash. It's basically guess work.
Transactions are verified by network nodes through cryptography and recorded in a public distributed ledger called a blockchain. Bitcoin was invented by an unknown person or group of people using the name Satoshi Nakamoto[9] and released as open-source software in 2009.[10] Bitcoins are created as a reward for a process known as mining. They can be exchanged for other currencies,[11] products, and services. Research produced by the University of Cambridge estimates that in 2017, there were 2.9 to 5.8 million unique users using a cryptocurrency wallet, most of them using bitcoin.[12]