1.1. Adam said he’d like to give me something in memory of our first meeting.
1.2. Adam said he’d like to make me a present to remember our first meeting. ... make me a present to commemorate our first meeting.
2.1. Adam's bag was heavier than Robert had supposed.
2.2. Adam's bag was heavier than Robert had expected.
Not quite synonymous - to suppose = think something is likely; to expect = to think something is a certainty.
3.1. “You can’t use the ball alone” Adam said. Not clear - "on your own" makes it clearer.
3..2. “You have got to share the ball with other boys” Adam said.
5.1. The skates were exactly the size of my boot.
5.2. The skates fitted exactly my boot.The two are not synonymous. The first tells you that the skate was the same size as the boot, but not that it fits the boot. The second tells you the skate fitted the boot and indicates it is probably the same size.
Student or Learner