今回のレッスンで学んだことを使った問題を出してください　って英語でなんて言うの？

1) Please ask me questions that use what I learned in today's lesson.
（今日のレッスンで学んだことを使った質問をしてください）
Please ask me questions = 質問を私にしてください
use ＝　使う
what I learned = 私が学んだこと
today's lesson = 今日のレッスン

2) Please ask me questions incorporating words from today's lesson.
（今日のレッスンの単語を取り入れた質問をしてください）
to incorporate = 取り入れる

また、「今日のレッスン」ではなくて「今回のレッスン」と言いたいのであれば this lesson となります。

The expression "test my understanding" means to ask questions about the topic in order to determine if the subject was clear and well discerned. A similar expression that means the same thing is "measure my comprehension."

If you ask the question: could you quiz me on today's lesson please? You are asking the teacher to ask you a range of questions related to the lesson that you learnt today, it is a great way to test your understanding of the content you learnt during the lesson.

If you ask your teacher to give you 'some questions based on today's lesson' this will allow you to check your understanding of the lesson and make sure that you understand everything that has been covered. You can also ask your teacher, 'Please can you check my understanding of today's lesson?' as this will automatically prompt the teacher to ask you appropriate questions using the target language.

"Could you ask me questions to check my understanding?"
- This is a straightforward way to ask your teacher to test your understanding.

"Please ask me comprehension questions based on the lesson material?"
- This is a formal way to ask your teacher to test your understanding of the day's lesson material.

"Could you check my understanding of the lesson material, by asking me questions relating to what we have gone through?"
This sentence is explanatory (tells your teacher exactly what you need them to do) and also informs your teacher that you would like your understanding to be 100% correct.

If you ever want to know more, or at least practice more and make sure that you understand what has been said from the lesson, then you can ask your teacher to ask you a few more questions at the end of the lesson, if there is time of course. And if there is, you can ask them one of these three questions.

What did you learn today?

Try one out, see how it goes, and find the one that fits you.

I hope that helps.
Have a great day.
Will

The above 3 answers are all correct and will ensure that you are able to get your desired lesson wrap-up:

1) Please quiz me on today's lesson?
This question is best used after the teacher asks you if you have any last questions or concerned. You
would then say:" Please quiz me on today's lesson". This question will not only require the teacher to
ask you about the lesson, but it may also prompt the teacher to ask you additional questions with
relevance to the lesson as well!

2) Can we have some wrap-up questions on the lesson to check that everything is in order?
It is best to make this request after the last exercise that is in the lesson. It is just before the teacher
says goodbye to you. Use this if you would rather have the teacher ask you questions about the
content of the lesson and not just questions that are related to the lesson.

3)Can we summarize the lesson together?
This question would be used if you would like to tell the teacher what you have learned, instead of the teacher asking you the question.It would be best to use this in instances where you want to focus more on speaking and pronunciation (you will speak more when answering the question). You would ask this when the lesson is about to end. You would then proceed to tell the teacher all that you ave learned and the teacher would then correct you if you make any mistakes or when you come across something you do not understand.

You can refer to the 'content of the lesson'. This is a formal way of saying that you would like to discuss what you have learnt in the lesson.
As you are speaking to your tutor, use please and thank you.

By saying this you are asking the teacher to question you at the end of the lesson. This helps the teacher to check your understanding of the lesson at the end as you are looking back on the lesson and explaining what you learned. :)