Barrows Novice is an easy combat achievement which requires the player to "Open the Barrows chest 10 times."
Completion of the quest Priest in Peril is required to complete this task, as this quest is required to enter Morytania.
You can finish this combat achievement by running through the barrows and finding out which sarcophagus enters into the tunnel, disregarding any brother that appears. This method yields around 30-50 chest openings per hour. Note that you will receive almost no loot using this method. It is the fastest way to get killcount, however.