Solutions for the round one mathematics exam for 10th grade at the High School for Gifted Students, University of Science

The round one mathematics exam for 10th grade at the High School for Gifted Students, University of Science, comprised four questions, with the equation-solving question accounting for 3,5 points, the highest value on the paper.

On the afternoon of 22/5, nearly 4,000 students sat for the round one mathematics exam for admission to the 10th grade at the High School for Gifted Students (HSGS), University of Science, Vietnam National University, Hanoi.

Below are the detailed solutions provided by Vo Quoc Ba Can, Nguyen Le Phuoc, Nguyen Tien Dung (teachers at Archimedes Academy, Hanoi), Tran Duc Hieu (Hanoi - Amsterdam High School for the Gifted), Phan Quang Linh (Giang Vo Secondary School), Vu Minh Duc, Nguyen Van Quy, Dao Phuc Long (CMATH Club), and Tran Quang Do (Institute of Mathematics).

Problem one:

Students taking the 10th grade specialized school exam in Hanoi in 2026. Photo: Thanh Hang

Problem 2a:

Problem five:

This year, the High School for Gifted Students is recruiting 545 students, with each specialized class in Mathematics, Physics, Chemistry, Biology, and Informatics admitting 109 students.

Applicants must take four subjects: round one mathematics, literature, English, and a specialized subject, with English being a new addition. A condition for admission is achieving a score of 4/10 or higher in each subject. The admission score is the total of the round one mathematics score and double the specialized subject score. Results are scheduled to be announced before 16/6.

Last year, the admission scores for mathematics and informatics classes were the highest, both at 19,5 points. The remaining three specialized classes in physics, chemistry, and biology all had an admission score of 17 points.