My DD1 was very similar to yours during Y3. Getting her to do homework etc was a nightmare and very little seemed to be achieved at school. Always a dreamer, teachers kept telling us she needed to concentrate more, without telling us how to help her.
However! At the end of year 4 we had the opportunity to look round our local grammar school, and we explained all about needing good qualifications to do well in life etc. DD1 was very very impressed and it was like someone had pressed the 'it's time to grow up a bit now' button. The child that went back to school in Y5 is organised, hardworking, determined and (mostly) compliant with homework/extra work. A little bribery in the form of horse riding lessons for extra work (VR) has been used but other than that we didn't DO anything. My guess is that your DD will be the same, and when she's ready she'll get it together and accept your help!
Games are good for now - Mastermind is good for learning to think logically (and I do wonder if this helped my DD1 organise herself and her thoughts), DD plays a game called 'Bookworm Adventures' on the computer which is word based.