1. He begged me a help.

2. He begged a help of me.

3. He inquired me a question.
4. He inguired a question of me.

5. He required me a pen.
6. He required a pen of me.

(Are the pairs all grammatical? The first ones are active voice sentences and the second ones are passive voice sentences.)

None of these is grammatical.

1. He begged me for help.
2. Help was begged of me. (This is awkward, but it is grammatical.)

3. He asked me a question.
4. A question was aske me.

5. He required me to have a pen.
6. A pen was required of me. (Again awkward, but o.k.)

In the pairs you provided, the first sentences are not grammatically correct in terms of standard English usage.

Let's go through each pair to explain why:

1. "He begged me a help." - Not grammatically correct.
To express this sentence correctly, you could say: "He begged me for help." Here, the preposition "for" is used to indicate the person being requested for help.

2. "He begged a help of me." - Not grammatically correct.
To convey the same meaning using passive voice, you could say: "A help was begged of me by him." In this sentence, the person being requested or pleaded with is placed after the direct object "a help," and the active voice verb is turned into a past participle "was begged."

3. "He inquired me a question." - Not grammatically correct.
To convey the correct meaning, you could say: "He inquired about a question to me." In this sentence, the preposition "about" is used to indicate the topic or subject being asked about, and the person being asked is placed after the verb "inquired."

4. "He inquired a question of me." - Not grammatically correct.
To express this sentence correctly using passive voice, you could say: "A question was inquired of me by him." In this sentence, the person being asked (me) comes after the direct object "a question," and the active voice verb is changed to its past participle "was inquired."

5. "He required me a pen." - Not grammatically correct.
To convey the proper meaning, you could say: "He required a pen from me." Here, the preposition "from" is used to indicate the person the pen is being requested or demanded from.

6. "He required a pen of me." - Not grammatically correct.
In passive voice, you could rephrase this sentence as: "A pen was required of me by him." The person being demanded or required to give the pen comes after the direct object "a pen," and the active voice verb is changed to its past participle "was required."

Remember, grammatically correct versions may vary depending on the intended meaning and context.