Kvízové kolo může mít bonusovou otázku.

Because kolo is a neuter singular noun, and the adjective has to agree with it.

• base adjective: kvízový = quiz-related
• neuter singular form: kvízové
• noun: kolo = round / stage / wheel, and it is neuter

So:

• kvízový = masculine
• kvízová = feminine
• kvízové = neuter

Here, kvízové kolo means quiz round.

Yes, kolo can mean wheel, but it also has other meanings.

In this sentence, kolo means:

• round
• stage
• part of a competition or game

So kvízové kolo is a quiz round, not a quiz wheel.

This is common in Czech: one word can cover several related meanings depending on context.

Because bonusovou otázku is the direct object of the verb mít.

The verb mít usually takes the accusative case, so bonusová otázka changes form:

• nominative: bonusová otázka
• accusative: bonusovou otázku

Both the adjective and the noun change because they must agree with each other in:

• gender
• number
• case

Here the object is:

• feminine
• singular
• accusative

So the correct form is bonusovou otázku.

Here is the breakdown:

• Kvízové — nominative singular neuter
• kolo — nominative singular neuter
• může — verb, 3rd person singular
• mít — infinitive
• bonusovou — accusative singular feminine
• otázku — accusative singular feminine

So the structure is:

• subject: kvízové kolo
• verb phrase: může mít
• object: bonusovou otázku

This is a very common Czech pattern:

• může = can / may (3rd person singular of moci)
• mít = to have

Together, může mít means can have or may have.

Why může?

Because the subject kvízové kolo is singular, so the verb is also singular.

Compare:

• Kolo může mít... = The round can have...
• Kola mohou mít... = The rounds can have...

It can correspond to either one in English, depending on context.

In this sentence, může most naturally expresses possibility, so English could be:

• can have
• may have

It is probably not about permission here.
If Czech clearly wanted to emphasize permission, it would often use something like smět instead.

So here může mít is best understood as:

• is able to have
• is allowed by the format to have
• may include

Because Czech has no articles like English a/an/the.

So Czech simply says:

• bonusovou otázku

and the ideas a bonus question or the bonus question are understood from context.

This is very normal in Czech. Learners often want to add an article, but Czech does not need one.

No, Czech word order is fairly flexible.

The sentence:

• Kvízové kolo může mít bonusovou otázku.

is a neutral and natural order:

• subject
• verb phrase
• object

But other orders are possible, for example:

• Bonusovou otázku může mít kvízové kolo.

This is still grammatical, but it changes the emphasis. It sounds more like:

• A bonus question is something a quiz round can have

So the original sentence is the most straightforward, unmarked version.

Literally, mít means to have, but in sentences like this it often works like English have in the broader sense of:

• include
• contain
• feature

So Kvízové kolo může mít bonusovou otázku can be understood as:

• A quiz round can have a bonus question.
• A quiz round can include a bonus question.

Both are good interpretations.

It comes from the noun kvíz plus the adjective-forming suffix -ový.

• kvíz = quiz
• kvízový = quiz-related

Then the adjective changes ending to match the noun:

• kvízový program — masculine
• kvízová otázka — feminine
• kvízové kolo — neuter

This -ový pattern is very common in Czech for forming adjectives from nouns.

Yes. It is a normal and natural expression.

• bonusový / bonusová / bonusové = bonus
• otázka = question

So bonusová otázka simply means bonus question.

It is especially common in contexts like:

• quizzes
• game shows
• competitions
• classroom activities

So the whole sentence sounds natural and idiomatic.