The British tried to capture two important hills, is the right answer.
The Siege of Boston that took place in the period between 19th April 1775 to 17th March 1776 was the primary phase of the Revolutionary War in America. The siege began following the "Battles of Lexington and Concord" at the time when the militia from the nearby Massachusetts communities hindered the access to Boston by land. from the militia, the Continental Army was formed by the Continental Congress, with its Chief Commander George Washington. In June of the year 1775, two hills known as the Bunker and Breed hills were seized by the British army. This was a place from where the Continental Army was planning to besiege the city, but they could not break the stronghold of the Continental Army.