Green Hill Zone 1: When Sonic passes the zone, make sure to pass his body all over the last tree. A "10,000" bonus point is hidden there.
Green Hill Zone 2: When Sonic passes this zone, make sure to pass in between the second and third palm tree. The bonus point worth "10,000" is there.
Labyrinth Zone 1: The "10,000" bonus point is on the ceiling nearest the right side of the screen.
Labyrinth Zone 2: Although there is a point amount near the zone's sign post, that is not the "10,000" bonus point. The "10,000" bonus point is on the top right hand corner of the screen.
Marble Zone 1: When you view the message "SONIC HAS PASSED ACT 1", you should noticed three columns. To the right of the third column, pass all over the little area to get the "10,000" point bonus. In order for this to happen, you should use jump as much as possible to get him to reach the point bonus.
Marble Zone 2: When you view the message "SONIC HAS PASSED ACT 2", pass his body all over the right side of the screen. You should get the "10,000" point bonus. In order for this to happen, you should use jump button as much as possible to get him to reach the point bonus.
Scrap Brain Zone 1: Under the ground, you will see a series of pipes that seems to go in this pattern: "l n l". The "10,000" bonus point is above the first "l" (pipe). This might be complicated to get.
Scrap Brain Zone 2: No points here.
Spring Yard Zone 1: The next "10,000" bonus point is directly above the sign.
Spring Yard Zone 2: The "10,000" bonus point is just above the blue post prior to the sign. It is closest to the left side of the screen.
Star Light Zone 1: The "10,000" bonus point is slightly above the top right hand corner of the screen. When you hit it, you can just barely see the bottom left hand corner of the point when you return to the ground.
Star Light Zone 2: The "10,000" can be obtained by having Sonic jump "on top of" the second lamp post that can be viewed from the screen. When you return to the ground, you cannot see the point.
There are no points in Zone 3 of any of the Zones.