Question 1
SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.
At the Summer school Math Camp, students were separated into different classes. If there were 6 students in each class, 16 students would not have a class. If there were 8 students in each class, there would be 10 empty seats in the last class. How many classes are there?
Source correction for this practice: read “10 empty seats in the last class” as “10 empty seats across all classes together.” The original wording is inconsistent with an eight-seat class. Use the same number of classes in both cases.
At the Summer school Math Camp, students were separated into different classes. If there were 6 students in each class, 16 students would not have a class. If there were 8 students in each class, there would be 10 empty seats in the last class. How many classes are there?
Source correction for this practice: read “10 empty seats in the last class” as “10 empty seats across all classes together.” The original wording is inconsistent with an eight-seat class. Use the same number of classes in both cases.