futures - date not given Coco mocha Chai ACCA website sample paper AFM

You will have to refer me to a specific question - the questions do usually make it clear.

In this question, the date is not relevant because you are told that the futures and options are in 3 months and in 6 months time (as opposed to being told that they are March futures, or June futures etc..). 4 months from now is 1 month more than in 3 months time, and 2 months less than in 6 months time. What exact date is of no relevance.

For futures hedge on the $5.06million, why the predicted futures rate need to multiply with 1/3? What does 1/3 represent ?

You can find a lecture working through the whole of this question linked from the following page (which does answer your question). https://opentuition.com/acca/afm/afm-revision-lectures/