Egg and Spoon Race

Buy some cheap eggs and hard boil them. If you want to get creative, you can decorate them to go with your theme.
    
Giving children of this age group a dessert spoon to use enables them to complete the game with less frustration.

Having a race that is a straight line will also minimise frustration. If the children complete this well, you can make your race course more complicated by going around trees, taking giants steps, crawling and so on.