The Mid-Autumn Festival exam in Yan'an typically occurs on the 15th day of the eighth lunar month, which corresponds to late September or early October in the Gregorian calendar. This date is based on the traditional Chinese lunar calendar, which is still followed for certain cultural and religious festivals in China, including the Mid-Autumn Festival. The festival is celebrated to honor the moon and the harvest, and it is a time for family reunions and the sharing of mooncakes.

The Mid-Autumn Festival exam in Yan'an is significant because it often coincides with the end of the academic year for many schools. This timing allows students to celebrate the festival with their families after completing their final exams. According to data from the Yan'an Education Bureau, the Mid-Autumn Festival exam is usually scheduled for the first or second week of October, ensuring that students have ample time to prepare for their exams and then enjoy the festival with their loved ones.

The choice of this date is influenced by several factors. Firstly, the Mid-Autumn Festival is a time when many people are on holiday, which makes it convenient for students to take their exams without the added stress of preparing for the festival. Secondly, the festival is a significant cultural event in China, and it is important for students to be able to participate in it. Lastly, the timing of the exam is designed to align with the academic calendar, ensuring that students have completed their coursework before the holiday period.

In conclusion, the Mid-Autumn Festival exam in Yan'an is scheduled for late September or early October, coinciding with the traditional celebration of the festival. This timing is beneficial for both students and families, allowing for a balance between academic responsibilities and cultural traditions.