From 1757 to 1947 the British Government took direct control of India. This was the British Raj.
The Sepoy Mutiny of 1857 ocurred when the Muslim and Hindu soldiers rebelled against the British when they heard that their new rifle cartridges were greased with cow and pork fat. The British handled the crisis badly.
The Great Game was a race between Britain (blue) and Russia (red) in a effort to claim Muslim lands in Central Asia and India. This race lasted for much of the 19th century.
The Crimean war in 1853 was between the Russians and the Ottomans in a bid to win the land around the Black sea. Britain and France entered to help the Ottomans. It was the first modern war.
The Suez Canal was constructed in 1869. It is a man-made waterway that connects the Mediterranean sea to the Red sea.
Eventually the competition between countries grew so fierce that they were afraid they would go to war with each other, so to prevent this they held the Berlin conference in 1884-85. It was held so that the countries could divide up Africa. 14 countries attended the conference, yet Africa was not present.