Answer:
Conditional: If I do all my math homework then I get an A on my test.
Counter-Example: I can still do all my math HW and still get a B
Converse: If I get A on my test then I did all math homework.
Counter-Example: I could get still an A on a test even though I did not do a HW
Inverse: If I don't do all my math homework then I don't get an A on test.
Counter-Example: I could don't do my HW but still get an A
Contrapositive: If I don't get an A on test then I didn't do all my math homework.
Counter-Example: I could not get an A but still did all my HW
(The true/false kind of depends so I am not sure so i provided counter examples to all of the statements.)
Explanation:
~ is to represent not
p = Do all math homework
q = Get A on my test
Converse q→p
If I get A on my test then I did all math homework.
q p
Inverse ∼p→∼q
If I don't do all my math homework then I don't get an A on test.
~ p ~ q
Contrapositive ∼q→∼p
If I don't get an A on test then I didn't do all my math homework.
~ q ~ p