Learn Dutch: Onze algemene kennis is goed, dus we winnen de quiz misschien. - Our general knowledge is good, so we might win the quiz.

No, the noun kennis covers all types of knowledge! Even though the verbs split into kennen (to be familiar with things) and weten (to know facts), the general noun is always kennis. If you form a noun from weten, you get wetenschap, which actually means science.

Why do we use onze algemene instead of ons algemeen?

Kennis is a de-word (de kennis). Because of this, we must use the de-form of our, which is onze. Furthermore, adjectives placed directly before a noun generally get an -e added to the end, giving us algemene.

Why doesn't the word dus change the word order in the second half of the sentence?

Dus (so) works just like en (and) or maar (but). It links two independent sentences together. It does not push the verb to the end of the sentence like omdat (because) does. You simply follow it with the standard subject-verb order: we winnen.

Could I put misschien right after dus?