This document provides examples and explanations of different modal verbs used to express speculation in the past, including must, may, might, could, shouldn't, should, and have. It discusses how these modal verbs are used to talk about different levels of certainty or possibility about past events, such as something being 100% sure, 50% sure, or just a possibility. Examples are given to illustrate the use of each modal verb in different contexts related to speculation about the past.