Comparing is not an idiom, it is an action. When you compare things, you are noting how they are alike and different.
It means to be intelligent. The brain is between the ears.
You could say they "stick to it," or "keep at it."
It's not an idiom. The definition of "at stake" is what is being risked in the situation or venture. A stake is a share or ownership in something.
Yes, "burst with curiosity" is a common idiom that means to be extremely eager or interested in learning or finding out about something. It conveys a strong sense of excitement and anticipation.
The idiom "shell out" means to pay a sum of money, usually unwillingly or with reluctance. It implies spending money on something, often more than anticipated or desired.
"Be on the same page" is an idiom that means to agree or have the same understanding or opinion about something.
It's not an idiom - it means a cup with some tea in it. NOT your cup of tea, however, is an idiom - it means that something is not to your liking or preference.
It means that you will like it. Something you are interested in.
It's not an idiom because it means exactly what it seems to mean. To take offence at something means to be offended or insulted by the something, so "did not take offence" means the opposite.
That's not an idiom. It means just what it looks like -- something is fit for you to eat.
This is not an idiom. It means exactly what it says in grammatically-correct fashion.
An example of an idiom in "The Bean Trees" is "out of the blue," which means something unexpected or sudden.
It's not an idiom. It means you pick and choose what you want -- pick something out and choose it from a selection.
Right away is not an idiom - it means exactly what it says. Something happens or will happen immediately.
It means to be intelligent. The brain is between the ears.
This is not an idiom. When you compare two things by saying one is the other, it is a metaphor. It means that however you keep your house reflects your personality, and vice versa.
Knowing something "by heart" means you have it memorized and don't need to have any notes or reminders.