How can you use surmise in a sentence?

Answer:
I surmise this is needed to complete your homework?

I do not think the above mentioned constructions are correct. I surmise, the right usage should be as follows.
I surmise that your silence is a 'yes'.
The journalist surmised that the incident was a murder and not a suicide.
The media, I surmise, helps understanding the issues of the gay community.
First answer by Dgardner74. Last edit by Dgardner74. Contributor trust: 220 [recommend contributor recommended]. Question popularity: 2 [recommend question].