| Achievement | How to unlock | Points
|
|---|
| Addition gem | Unlock the first gem from the Sea of Addition. | 50
|
| Comparisons gem | Unlock the first gem from the Sea of Comparisons. | 100
|
| Division gem | Unlock the first gem from the Sea of Division. | 100
|
| For the first time in forever | Finish valve minivame successfully. | 50
|
| Gotta catch 'em all | Get first collectable. | 50
|
| Multiplication gem | Unlock the first gem from the Sea of Multiplication. | 100
|
| Sea of Addition | Unlock the first island from the Sea of Addition. | 50
|
| Sea of Comparisons | Unlock the first island from the Sea of Comparisons. | 100
|
| Sea of Division | Unlock the first island from the Sea of Division. | 100
|
| Sea of Multiplication | Unlock the first island from the Sea of Multiplication. | 100
|
| Sea of Subtraction | Unlock the first island from the Sea of Subtraction. | 100
|
| Subtraction gem | Unlock the first gem from the Sea of Subtraction. | 100
|