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1.Perhaps he invented that story in order to gain our sympathy. Main sentence

He might make up the story so we would sympathise with him. with bold is what I think must be.

2."atoms consist of even smaller particles",the lecturer told us.

The lecturer told us that atoms are made up with even smaller particles.

3.Pushing me to the ground, the man grabbed my wallet and run away.

The man pushed me to the ground and made off with my wallet.

4. They tried to get us to believe that they were collecting the money for charity.

They .......... collected for charity. No idea

5.What impression do you have of the new major?

What do you make of the new major?

6 . It was so foggy that I couldn't see any of the signposts.

Due to fog we couldn't make out any of the signposts.
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MaXmOuSe1.Perhaps he invented that story in order to gain our sympathy. Main sentence

He might I'd say "have made up" make up the story so we would sympathise with him. with bold is what I think must be.

2."atoms consist of even smaller particles",the lecturer told us.

The lecturer told us that atoms are made up with even smaller particles.

3.Pushing me to the ground, the man grabbed my wallet and run away.

The man pushed me to the ground and made off with my wallet.

4. They tried to get us to believe that they were collecting the money for charity.

They .......... collected for charity. No idea made us believe

5.What impression do you have of the new major?

What do you make of the new major?

6 . It was so foggy that I couldn't see any of the signposts.

Due to fog we couldn't make out any of the signposts.

At least that's what I think Emotion: smile
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#2: Made up OF, not made up WITH. If you have a fight with someone and then are no longer mad, you have "made up." Also, the hotel maid can "make up a room," which means she made the beds (no preposition), got you new towels, etc. When things (or people) together form something else (or a committee), you say "Made up OF."

I think, given the tense of #4, it should be "they tried to make us believe" rather than "made us believe" -- because it appears they were unsuccessful.