Thank you! I had to look up "completing the square" (I am such a dinosaur). I can see that the terminology used now has moved on. (As a side topic, I wonder if a glossary of terms would be a useful resource for this forum? A kind of "old money" versus "new money" explanation for people like me who don't know the current lingo?).
When researching, I did stumble across this link to a previous topic on the same subject so pasting below for easy reference.viewtopic.php?t=38312&p=455057
Meanwhile, back on topic, I am starting to draw a few conclusions:
* long multiplication/column method is faster for those able to do it and therefore more useful for timed tests that look only for the correct answer
* partitioning/grid method is a more holistic learning tool which will/may be useful for her future maths learning
* teacher may be assessing all the students to figure out where they are in their learning (I neglected to say that about a third of the class were given both exercises to do) and therefore to decide on who needs what elements to be taught/reinforced at this early stage of Y6
* I need to smarten up my maths knowledge pronto!