This was really fun, well done!
Some small suggestions:
1. Have some more time before you die and respawn, because it's annoying when you die.
2. It appears that the questions of the type "the third letter of the word ..." took more time to answer than the rest, so distributing those questions evenly between the players would help in making it more fair.
3. Once in a while it happens that we have to press the same key to continue, and so when one player presses the key the other player moves too. If it's not easy to fix, then it's really not a big deal.
4. I finished the level first, but my gf wanted to keep on playing, but then she had to press 'space' to jump between platforms, but that was the key for me to finish the level, so she didn't get to keep on playing (kinda related to #3).
5. More variations for questions, we recognized the questions after 2-3 plays (nice one on the threesome btw
).