Hi.

I have just started studying some basics mathematics for poker and I need some confirmation whether I have understood this correctly or help if I have totally misunderstood.

Example:

We assume a total ante for the whole table to be equal to 1 bb. Thus, the total pot before any action is 2,5bb.

Hero is in bb
Villain is on button with a short stack of 10bb.

The action is folded around to the button and the button shoves all in for 10bb.

Lets assume Villains range to something like this: 22+, A2s+, K5s+, Q8s+, J8s+, T8s+, 98s, 87s, A2o+, K8o+, Q9o+, JTo (34% of the total range)

Hence, I have to call 9bb to win the total pot of 12,5bb.

I base my calculations around the following formula:
EV = %W*$W - %L$L

or similar

EV = %W$W - (1-%W)$L

My break-even equity point = $L /($W+$L) = 9bb/(12.5bb + 9bb) = 42 %.

My questions are?

First, are my math done correctly? Are there more things to consider?

Second, how should I construct a calling range against this push? Should I include all hands that has above or equal to 42% equity against Villains push range?
If I do this I will call with approximately 29% of my total range. Does this sound reasonable? Hence, my range would look something like 22+, A2s+, K7s+, Q9s+, JTs, A2o+, K9o+, QTo+, which would have 52% equity against Villains entire shove range.

I assume (since break even equity is 42%) I should not construct a range that has 42% equity against Villains range since I then will have many hands that has less than 42% equity.

Feedback here would be much appreciated

This all looks correct to me.
If you call, your break-even equity is 9/(12.5+9) = 9/21.5 = 41.8%

If your range for villain is correct (and I have to say it looks reasonable), then you just call with any hand that has >42% equity vs that range. (The worst hand in your calling range needs to capture 42% of the pot). Equilab has a button that does this exact thing, and it spat out 22+,A2s+,K7s+,Q9s+,JTs,A2o+,K9o+,QTo+, which is what you posted. Nice work.