1. (Besides) being (clever) - герундий
2. before (answering) - герундий
3. the fax announcing - причастие наст. вр. (причастие I)
4. spoken about - причастие вр. (причастие II)
Объяснение:
1. Besides being clever he is very industrious. (being - инфинитив, глагол).
2. Think carefully before answering my question. (answering - герундий, существительное).
3. Here is the fax announcing his arrival. (announcing - причастие, глагол).
4. This is the project so much spoken about. (spoken about - деепричастие, 3 форма глагола).