1. First Purple Coin
The first Purple Coin is right under a cross of Gold Coins that is also above five burners.
2. Second Purple Coin
After the first Purple Coin, Mario will only have to move forward. The second Purple is floating above a three-column burner. To get the second Purple Coin, make a “wall” jump onto the other set of burners right beside it.
3. Third Purple Coins.
For the third Purple Coin, just move forward until you come across a box with burners above and below it. Wait for the flames for the burners to disappear before jumping to get the third purple Coin.
4. Fourth Purple Coin
Getting the fourth Purple Coin involves clicking on the Blue P Switch to reveal the Blue Coins, getting all the Blue Coins and then jumping on a nearby Ninji to get the fourth Purple Coin.
5. Fifth Purple Coin
To get the fifth Purple Coin, take the higher platforms and then make a high jump after a two-column burner to make you drop to get the fifth Purple Coin.