1. First Purple Coin
After getting the first Super Star, make a high jump to get the first Purple Coin—which is right in the middle of a Fuzzy moving around a circular guide.
2. Second Purple Coin
Make sure to get the available Super Star in order to get the next Purple coin, which is right in the middle of two Fuzzy monsters moving in between a body of Gold Coins.
3. Third Purple Coin
To get the third Purple Coin, take the lower platforms among the group of moving platforms on a circular guide. To do that, make a jump from the first moving platform as soon as you step on it so you would fall down to the lowest level of platforms.
Note: It would be helpful if you get the Super Star right before approaching this area.
4. Fourth Purple Coin
Get on the springboard and then on the orange platform which you will land, bounce off the two Surprise Question blocks and then make a mid-air jump as you descend back to get the fourth Purple Coin.
5. Fifth Purple Coin
Get another Super Star and make a high jump toward a ring of Gold Coins with a Fuzzy rotating in the middle. The fifth Purple Coin is right in the middle.