Final answer:
Booker's entrance examination to the Hampton Institute covered basic subjects like Mathematics, English, and History. The institute aimed to provide practical skills to African Americans.
Step-by-step explanation:
Booker's entrance examination to the Hampton Institute in "The Struggle For an Education" was not explicitly mentioned in the provided information. However, it can be inferred that the entrance examination would have covered basic subjects like Mathematics, English, and History. The Hampton Institute, founded in 1868, aimed to provide education and training to African Americans in the former Confederacy, focusing on practical skills such as farming and housekeeping. Therefore, the entrance examination might have included questions related to these subjects.