Look for combinations of words that oppose each other's meaning. Saying 'deafening silence' is a contradiction in terms, as silence cannot make noise.
Pro Tip 2/3
Understanding Irony
Sometimes, 'a contradiction in terms' is used to highlight irony in a situation. Calling a bankrupt millionaire 'rich' is a contradiction in terms that implies irony.
Pro Tip 3/3
Detect Figurative Use
Recognize it as a literary device that can convey complex ideas in a few words. The phrase 'living dead' used in stories is a contradiction in terms.