What to knit with this?

We’re in the (long) process of going through all our junk in preparation to move to the UK. Last night, I came across a box full of yarn picked up at a yard sale during my last attempt to become a knitting goddess (about four years ago).

There’s an acrylic/mohair(15%)/wool(15%) blend in there - four balls (50 grams each but no length given). The stuff is composed of 2 thick plies - very fuzzy and variegated (from light lilac to medium purple). I have an idea it is what you’d describe as “chunky”.

I was thinking of maybe knitting a scarf, and possibly a hat (or headband) if there’s enough left over. Any other ideas?