My first thought on the “manhole covers” problem is that it falls into the Application part of Bloom’s Taxonomy, but after looking at the pyramid again, it really could fit into the synthesis layer, too. Analysis because the question asks students why round is better than square. Synthesis because students could predict what would happen if cities used square mahole covers instead of round. I would probably use this as a group activity, having students first list the reasons why round is better than square, then share with the class, creating a class list that includes all different responses.Students could then create an imaginary list of what might happen if cities used square instead of round. What problems might arise, etc.
The eggs in a basket problem stumped me…I had to peek at the answer. I can only imagine what it would do for my students. I think before I do this one with the students, I might do another from that list of problems, to give them an idea what to be looking for in an answer. Once again, students might work this kind of a problem better in a group. Several heads are always better than one. Besides, they like working in groups.