Make the last egg multicolored with all 4 colors. If you wish for the game to last for awhile, mount to cardboard using glue spread very thinly across the cardboard. Color in the playing pieces if you printed out the page in black and white. Cut egg shaped pieces out of craft foam or construction paper in the different colors. Young children can play this as a color matching game.
Older kids can practice math or reading.
You can make up almost anything to go on the eggs, below are some ideas. You will need to have a small paper bag for them to pull eggs out of, or a small basket to dump the eggs out of, depending on which way you play. Put them into a small paper bag, have the child reach in without peeking to pull out an egg, and then move to that color on the board. Put them into the small Easter basket, then dump them out and add up the numbers to see how far to move. Put 1 even number and 1 odd number on each side of two eggs.