Use the following steps to complete Nabooti Island.

Go into the African museum. Go to the statue. Talk to the woman next to the statue. Tell her that you want to help find all the jewels. She will give you a map.
Go to the airplane and click "Fly".
Go to the Kaya Forest. Take the gold nugget found in the trees.
Return to Nabooti. Talk to the first person at the selling table. Say that you want to trade the gold nugget for the camera. Return to the plane.
Go to the safari. Zeke will be there at the end. Say "Can I help?" He will tell you to take seven different pictures of animals. Take six of the pictures, then take a picture of the giraffe one more time. He will give you his hard hat. Take it, then go to the Mountains Of The Moon.
Pass the first goat without letting it hit you. Then, intentionally get hit by the second goat to get on the ledge. You will find a girl. She will tell you that there is a cactus fig on the ledge. To get it, jump for it. Keep going and jump on the snowy ledges. You will fight an old man with a Gem Of Mancala. Defeat him and you can enter the cave. At the end of the cave is a jewel. Take it, then go back to the airplane.
Go to the diamond mines. Pass the first person on the ground. Keep going then until reaching a knob. Turn it, then climb up the sand hill as fast as possible.
Nabooti Island: Phone numbers
Brain hat: 411 (destroys your hair permanently)
Police hat and belt: 911
Ned Noodle head: 1337
Santa hat and toy bag: 1225
When in Giza will help open the pyramid: 5556789