Problem 29: a system of equations with three variables and a parameter m . She started substituting, but her mind went blank. “Si el sistema tiene infinitas soluciones, halle m.” She remembered: the determinant of the coefficient matrix must be zero. She calculated quickly. m = 2 . She bubbled D.

Aptitud Académica: 412 Matemáticas: 398 Ciencias Sociales y Lectura: 427 Resultado: INGRESANTE – Facultad de Ciencias Sociales

Then problem 14: a logic puzzle about four friends seated around a table, with conditions like “Ana no está al lado de Carlos” and “Betty está frente a Diana.” She drew a grid. One minute. Two minutes. Her pencil trembled. Then—click—the configuration revealed itself. She bubbled in C. By the math section, her confidence was a thin wire. Problem 21: “Una empresa reparte 720 soles entre tres empleados. El segundo recibe el doble del primero. El tercero recibe 80 soles más que el segundo. ¿Cuánto recibe el primero?” She solved it: x + 2x + (2x+80) = 720 → 5x = 640 → x = 128 . Easy.

1. The Weight of a Number Lima, February. The heat clung to everything—the cracked sidewalk on Avenida Universitaria, the plastic chairs in the pensión where Sofía rented a room, and the thin mattress where she’d slept only four hours. On her desk lay a worn-out copy of Aritmética Razonada by Baldeón, its spine held together with tape. Next to it, a stack of mock exams from the Academia César Vallejo . The top page read: Simulacro N° 12 – Puntaje: 482 .

She walked out into the afternoon sun. The jacarandás were in bloom—purple flowers scattered on the grass. She didn’t know if she had passed. But for the first time, she felt she had fought every single problem, left no easy point behind, and survived the mental marathon. Two weeks later, at 10 a.m., she logged into the PUCP portal. Her hands were cold. The page loaded:

Admission to PUCP required 1,200 points.

She closed her eyes and whispered: “Una más. Solo una más.” The PUCP campus in San Miguel felt like a different country. Students walked calmly under the jacarandás , holding coffee and folders. Sofía had only a transparent plastic bag (required): ID, sharpened HB pencils, an eraser, a clear bottle of water, and a small square of dark chocolate—a superstition from her first attempt.

She stared. Then she cried. Then she called her mother, who said nothing for five seconds, then whispered: “Ya no irás al mercado, hija.”

Pencils down. Silence. Then the shuffle of papers, the squeak of chairs, the collective exhale of 200 students.