Start off by jumping across to the moving platforms. Get the DK Barrel so you can hover-jump. Make your way to a larger platform while avoiding Skittlers, Chomps, and Tiki Goons. Once on this platform, jump up to get the K KONG letter.
When you come to a couple platforms that move in a figure-eight pattern, jump on one and ride it to the top. Jump off to the left to get a Puzzle Piece and then hover back onto the next platform as it comes around.
After passing by the checkpoint, pick up the DK Barrel and jump over a couple Chomps. Get the O block which hovers over the next platform and watch out for the Skittlers that will drop down from the tree to attack you.
When you get to some large bouncy mushrooms, jump up to a grassy log and climb around to the top. From there, jump over to the right and get a Puzzle Piece.
Drop down from the grassy log onto a lower mushroom, and then jump off to a platform on the right. Move to the round trapdoor and pound on it to enter a bonus area. Clear out the bananas and coins to earn a Puzzle Piece.
Continue to the right, and you will find the next Puzzle Piece. It is orbited by three small moving platforms. Ride one around to the bottom, and then jump up to get the Puzzle Piece. Carefully land on another platform.
Just to the right are three more platforms. These are orbiting the N KONG letter. Use the same tactic to get this letter and then keep moving.
Watch for a bouncy mushroom located between two Chomps. Lots of bananas fly around in a circle above the mushroom. Jump up and collect them all to cause a Puzzle Piece to appear. Grab it and continue onto the platform on the right.
As you arrive at a barrel off to the right of a platform, don’t jump into it. Instead, roll off the edge. After you get past the barrel, jump while rolling to get the Puzzle Piece floating in the air, and land in the barrel to the right.
After passing by the checkpoint, ride a group of small platforms around and jump across to another group that will take you to a large mushroom. From there, get onto a platform that goes in a figure-eight pattern up to a Puzzle Piece. To get this one, you must jump up and land on a Skittler; then quickly jump off of it to get the Puzzle Piece and land back on a platform.
Jump across to a mushroom and wait for a group of platforms to go by. One of them has the G KONG letter on it. Jump onto that platform to spell out K-O-N-G. Continue to the Slot-Machine Barrel to complete the level.