More than 63 points in the first prize, more than 69 points in the second prize and more than 57 points in the third prize.

According to the regulations of Beijing University Students' Mathematics Competition, the contestants will be graded according to their achievements. The award criteria are as follows: 63 points for the first prize, 69 points for the second prize and 57 points for the third prize. This means that if the contestants' scores reach or exceed the corresponding scores, they are eligible for the corresponding awards. These scores are determined according to the setting and evaluation criteria of the competition organizers.