to everone still having problems with the broom: it works perfectly nice, if you place it slightly right above of what you want to clean (approximately at 2 o'clock), so that the yellow bristles just touch the spider/web
@Balbanes: There is a small mistake in the Wiki: capturing the blue ghost gives a gem, not the purple one. But otherwise, nice work, especially helpful for beginners.
If you are stuck, it's just try and error: as soon as you have marked the correct tiles, the numbers on the side turn grey. Therefore I honestly don't thing the "hard" badge is worth it, medium would be sufficient.