1. First Purple Coin
For the first Purple Coin, get on the lower red platform, hop on the Koopa and then take the first Purple Coin right beside a row of Gold Coins.
2. Second Purple Coin
To get the second Purple Coin, continue walking on the middle platform and hop on the boost cubes to help you reach the second Purple Coin.
Bonus Red Ring
After getting the second Purple Coin, you will find another Red Ring sitting on a green platform. Pass through it to make five Red Coins appear.
3. Third Purple Coin
To claim the third Purple Coin, you will have to forgo completing the set of Red Coins available. So after passing through the Red Ring, take the lower platform and then hop under the first Surprise block to claim the Purple Coin.
4. Fourth Purple Coin
For the fourth Purple Coin, get on the pair of Surprise Blocks floating on a red platform and then make a high jump to get the fourth Purple Coin.
5. Fifth Purple Coin
For the last Purple Coin, get on the middle platforms but don’t make a high jump after you get on the second pair of boost bricks. Doing so will allow you to land right on top of the fifth Purple Coin.
Another way to get the last Purple Coin is to allow yourself to fall and then use a bubble that will float you back. Just pop the bubble when you are on the same level as the last Purple Coin.