The prepositions of comparison help us to separate, or distinguish, between two or more ideas, people, things, etc., and so on.
The list below contains samples for a better understanding. I recommend looking over the list and doing the exercise that follows.
AFTER = similar or comparable to
This artist’s work is after the style of the cubists' movement.
AGAINST = A. contrasting with B. compared with
A. That picture would look better against a dark background.
B. Look at this schedule against last year’s; it was so much better last year.
BELOW = less, or fewer, than
That shop is going out of business, they are selling things below cost.
BESIDE = compared with
Beside her sister she's not the least bit talented.
BETWEEN = differentiating
She cant tell the difference between blue and green because She's color-blind .
LIKE = similar to
You've gotten so tan, you look like an Egyptian.
NEAR = approaching / similar to
No one can come near him when it comes to Math's.
OVER = more than, a greater number or amount, than
He's got over ten thousand coins in his collection.
UNDER = less, or fewer, than
The Communist Party got under a thousand votes in the election.
UNLIKE = not similar to
That puppy looks unlike either of its parents.
For more information about prepositions of comparison click on the preceding link.