BEIJING — For Chinese children and their devoted parents, education has long been seen as the key to getting ahead in a highly competitive society. But just as money and power grease business deals and civil servant promotions, the academic race here is increasingly rigged in favor of the wealthy and well connected, who pay large sums and use connections to give their children an edge at government-run schools.

Nearly everything has a price, parents and educators say, from school admissions and placement in top classes to leadership positions in Communist youth groups. Even front-row seats near the blackboard or a post as class monitor are up for sale.

Zhao Hua, a migrant from Hebei Province who owns a small electronics business here, said she was forced to deposit $4,800 into a bank account to enroll her daughter in a Beijing elementary school. At the bank, she said, she was stunned to encounter officials from the district education committee armed with a list of students and how much each family had to pay. Later, school officials made her sign a document saying the fee was a voluntary “donation.”

“Of course I knew it was illegal,” she said. “But if you don’t pay, your child will go nowhere.”

Bribery has become so rife that Xi Jinping devoted his first speech after being named the Communist Party’s new leader this month to warning the Politburo that corruption could lead to the collapse of the party and the state if left unchecked. Indeed, ordinary Chinese have become inured to a certain level of official malfeasance in business and politics.