1. First Black Coin

Make a high jump from the Green platform sitting right beside a pink platform. Make sure that your jump is high enough to reach the first Black Coin. To do that, jump toward the right edge of the corner where the first Black Coin is and make a wall jump toward the other edge so you can jump and reach for the first Black Coin.
2. Second Black Coin

Run forward and jump on the two Swoops flying. After jumping on the second Swoop, you will be able to get the second Black Coin.
3. Third Black Coin

To get the third Black Coin, move past the Red Ring. Once you find the pipe after passing through the Red Ring, make a wall jump that will allow you to move a few spaces back in order to get the third Black Coin.
4. Fourth Black Coin

Enter the column of Gold Coins that leads upward and jump off the edge to get the fourth Black Coin. You will have to make several wall jumps back and forth through the corner.
As soon as you got the fourth Black Coin, enter the pipe right below it.
5. Fifth Black Coin

After entering the pipe you will find four Swoops flying right along a track of Gold Coins. Jump on the first three Swoops to make sure you’ll make it to the fifth Black Coin.