It's impossible to say if the Britannica Puzzle Potpourri works on Windows 10 because the website that was supposed to offer the trial version of the software is not working anymore. The main page loads just fine, but the download link leads to a 404 page not found.
Also, based on the displayed system requirements, Windows 10 is actually a totally unsupported operating system.
If you insist on getting the product, contact them and ask for a working link to the trial version: http://www.selectsoftnow.com/contact_us/