1. He raised his right hand a little.

2. He raised his right hand a bit.
3. He raised his right hand slightly.
4. He raised his right hand a lot.
5. He raised his right hand much.
6. He raised his right hand a little.
7. He raised his right hand just a little bit.
8. He raised his right hand high.
9. He raised his right hand in middle state.
10. He raised his right hand rather high.
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Are they all grammatical? #9 seems to be strange. What other expressions can we use? Thank you for your help.

I would not use 5 or 9. The others are fine.

1. He raised his right hand a little. - Grammatical

2. He raised his right hand a bit. - Grammatical
3. He raised his right hand slightly. - Grammatical
4. He raised his right hand a lot. - Grammatical
5. He raised his right hand much. - Not common or idiomatic. It is more natural to use "a lot" instead of "much" in this context.
6. He raised his right hand a little. - Grammatical
7. He raised his right hand just a little bit. - Grammatical and emphasizes a smaller amount than "a little."
8. He raised his right hand high. - Grammatical and indicates a higher position.
9. He raised his right hand in a middle state. - This sentence is not grammatical. Instead, you can use "He raised his right hand halfway" to indicate a position between the highest and lowest points.
10. He raised his right hand rather high. - Grammatical

Other expressions you can use to describe the degree of raising the hand include:
- He raised his right hand slightly.
- He raised his right hand to a moderate height.
- He raised his right hand a little higher than before.
- He raised his right hand to shoulder level.
- He raised his right hand just above his head.
- He raised his right hand to a considerable height.