Here is the full list of all 54 Secrets of Magic 5: Back to School achievements.
Collect 120 gold nuggets
Collect 510 gold nuggets
Collect 850 gold nuggets
Collect 350 golden tiles
Collect 1000 golden tiles
Collect 1940 golden tiles
Play 5 levels in a row
Play 14 levels in a row
Play 25 levels in a row
Buy 1 decoration
Buy 8 decorations
Buy 16 decorations
Explode 6 Rockets
Explode 18 Rockets
Explode 32 Rockets
Use the Wand power-up 5 times
Use the Wand power-up 15 times
Use the Wand power-up 30 times
Change the style of an item you've already purchased 1 time.
Change the style of an item you've already purchased 3 times.
Change the style of an item you've already purchased 8 times.
For being the Top Score in 15 levels
For being the Top Score in 32 levels
For being the Top Score in 60 levels
Collect 4 chests
Collect 20 chests
Collect 80 chests
Play 2 days in a row
Play 5 days in a row
Play 8 days in a row
Destroy 60 gate obstacles
Destroy 190 gate obstacles
Destroy 260 gate obstacles
Break 40 ice cubes
Break 108 ice cubes
Break 180 ice cubes
Break 25 lava stones
Break 64 lava stones
Break 82 lava stones
Use the Hammer power-up 4 Times
Use the Hammer power-up 12 Times
Use the Hammer power-up 25 Times
Use Lightning power-up 2 times
Use Lightning power-up 8 times
Use Lightning power-up 16 times
Destroy 16 metal tiles
Destroy 130 metal tiles
Destroy 190 metal tiles
Use the Fireball Cannon for 2 times
Use the Fireball Cannon for 20 times
Use the Fireball Cannon for 40 times
Collect 9 keys
Collect 20 keys
Collect 49 keys