Suicide Races
Stay to the inside of the track to avoid the oncoming onslaught of cars.
Demolition Derby
Drive around avoiding cars until there are less than four cars remaining.
Turnaround Races
Drive past the turnaround point until it says 'Get back on track'. Press Back to put yourself in the opposite direction (it is faster).
Bus
While using the bus in the dare levels during a race, just push the other cars to build up hit points