Misery Mire Palace

Enter without a Hookshot

Simply dash into a wall and use the recoil to cross the gap.

Get the Cane of Somera without the Hookshot

You can use the Pegasus Boots to reach the crumbling floor in time.

Light the four torches quickly

Simply push the block in line with the torch, then use the Fire Rod as the block is moving. The flame should not collide with the block as it's moving.