I think you should previously specify your independent variables: social and cultural factors.
Regarding cultural factors, there is no problem, you can use Hofstede's approach: variables and their measurement scales are available in literature, you can utilize them to elaborate your questions.
As for social factors, I suggest you to determine, in a first step, the main variables you want to study, for example education, poverty, gender role values, religious values,...(You have to make a choice of these variables based on available literature). In a second step, you should look for measurement scales of these variables in literature. Once you have items of measurement scales, you can transform them in questions and formulate your questionnaire structured in four parts: Social variables, cultural variables, entrepreneurship's variables.
The article contains items of four dimensions of culture which could help you to ask questions about culture.
As for entrepreneurship, I think you should specify the variable you want to study. Those generally used in literature are entrepreneurial orientation, corporate entrepreneurship, entrepreneurship behavior,... Items used to measure these variables are different from each other.
Siu, W.-s., & Lo, E. S.-c. (2011). Cultural Contingency in the Cognitive Model of Entrepreneurial Intention. Entrepreneurship Theory and Practice, 37(2), 147–173. doi: 10.1111/j.1540-6520.2011.00462.x
They measure two cultural dimensions, namely Independent self-construal (individualism) and Interdependent self-construal (collectivism) in their study and examine the effects of these dimensions on students' entrepreneurial intentions.
See the following article: "Socio-Cultural Factors Influencing Entrepreneurial Activities: A Study on Bangladesh," Rahma Akhter, Farhana Rahman Sumi, IOSR Journal of Business and Management (IOSR-JBM), Volume 16, Issue 9, 2014.
"Socio-Cultural Factors Influencing Entrepreneurial Activities: A Study on Bangladesh," Rahma Akhter, Farhana Rahman Sumi, IOSR Journal of Business and Management (IOSR-JBM), Volume 16, Issue 9, 2014.
As you know, Hofstede's work is one of the most popular works on sociocultural effects on workplace behavior. His measure of sociocultural dimensions has indeed been adapted by many scholars, eg Shane, to investigate the relationship between socioculture and entrepreneurship. The challenge is in adapting his questionnaire to suit your own research context. For example, just to share my own experience, the masculinity dimension may have to be split into two constructs ie gender role differentiation and ego orientation, if you are investigating a female sample. Otherwise the scores may end up cancelling each other and lead to misleading conclusions.
I think you should previously specify your independent variables: social and cultural factors.
Regarding cultural factors, there is no problem, you can use Hofstede's approach: variables and their measurement scales are available in literature, you can utilize them to elaborate your questions.
As for social factors, I suggest you to determine, in a first step, the main variables you want to study, for example education, poverty, gender role values, religious values,...(You have to make a choice of these variables based on available literature). In a second step, you should look for measurement scales of these variables in literature. Once you have items of measurement scales, you can transform them in questions and formulate your questionnaire structured in four parts: Social variables, cultural variables, entrepreneurship's variables.
May be you should try reaching out to the authors of the article "Socio-Cultural Factors Influencing Entrepreneurial Activities: A Study on Bangladesh," and ask them for a copy of the questionnaire used for the research. I think you should give it a try if you have not done that yet