Learn English – the difference between “some” and “little”

Sometimes, not only in English but in all languages, we want to emphasize certain situations. And then the language itself gives us devices that aren't always common, but we use them anyways, based on known and meaningful expressions.

I am very hungry

We can depict that the subject has surpassed the status of just "hungry" for they must have stayed a long time without eating. This is a known meaningful expression.

Murder is very illegal

From this, even if it doesn't make much sense in the binary nature of the word "legal", we can depict that "murder" is a crime that, morally or ethically, has surpassed the status of "illegal".

We can state that by looking at another not-so-serious crime:

Parking on the sidewalk is illegal

Yeah, we all know it is illegal and wrong. But it is a petty crime compared to murder. In some countries murder is penalized with life imprisonment, even with death penalty, while parking on the sidewalk gives you a fine and, in the worst of the cases, your car is towed.

We can still say that "Murder is illegal", of course it is, but in the sentence, the "very illegal" was made to emphasize.

As the others have said:

I might work more this week.

Implies that you have some sort of control over the situation, whereas

I might be working more this week.

Implies that you don't really have the choice.

can't i say : "There is traffic on the highway so i might arrive late."

Yes you can. And the reason this shows that you don't have control is because of the mention of the traffic.

Also context can play a big difference, if somebody invited me to a party in a week's time and I said

I'll be there, but I might be late.

That would imply that I have control, because I knew about it a week in advance, whereas if I sent that message on the day, it would imply that I have no control.

I hope this helped.

As for your second set of questions, both make sense. However I would have said "I have to work more today" to show that I have to do it, not that I really want to do it.