“Why do I need this?” he whispered to the empty room. “I’m never going to use a quadratic equation to order pizza.”
Luka was good at many things. He could name every dinosaur that ever appeared in Jurassic Park , assemble a computer from spare parts in under an hour, and recite the offside rule in three languages. But mathematics? Mathematics was a foreign country where he did not have a visa.
The forest was dark, but he had a lantern now. And he finally knew how to use it.
He had never read the foreword. He scrolled back. The author, a retired professor named Dr. Vera Horvat, had written a small note: Zbirka Zadataka Iz Matematike Za 9 Razred Pdf
By the time the end-of-term exam arrived, Luka was not a mathematician. But he was something else: a person who no longer feared a PDF. He sat down, opened the test, and saw familiar faces—variations of problems 87, 203, and 419 from the Zbirka .
But his mother, overhearing from the hallway, poked her head in. “Luka, the Zbirka isn’t about the math. It’s about the struggle. Read the foreword.”
(Collection of Mathematics Problems for 9th Grade) “Why do I need this
Luka read it twice. Then, something strange happened. He didn’t suddenly become a math prodigy. But he stopped seeing the PDF as an enemy. He saw it as a map of a dark forest, and every solved problem was a tiny lantern.
Problem 17: 3(x – 4) + 2 = 5x – 6 . He stared. He tried. His pencil hovered. He rewrote it three times, each attempt ending in a different, equally wrong answer. By problem 34, the numbers had turned hostile. He slammed the tablet face-down.
He smiled. He picked up his pencil.
It was the first week of ninth grade, and the air in Ms. Janković’s classroom smelled of whiteboard markers and quiet anxiety. On every desk lay a thin, unassuming object: a photocopied title page stapled to a stack of 127 pages. At the top, in a bold, slightly faded font, read the words that would define the next ten months:
He started a new system. He would tackle only five problems a night. Not fifty. Just five. He used the margins to draw angry faces next to the ones he hated, and stars next to the ones that finally clicked. He joined a study group where they shared screenshots of the PDF and argued about Problem 142 ( A train leaves Station A at 8:00 AM… ) for an hour before realizing they had misread “towards each other” as “in the same direction.”
For most students, it was just a PDF—a file passed around via USB drives, class WhatsApp groups, and a single, dog-eared printout that had been scanned so many times that the geometric diagrams looked like Rorschach tests. For Luka, however, it was a nightmare with a page number. But mathematics
“The Zbirka is your best friend,” Ms. Janković said, patting the stack with a theatrical smile. “Inside, you will find over two thousand problems. Some easy, like waking up. Some hard, like… well, like waking up before a test.”