Maybe you could split "reward" into two parts: a) some award that will be prestigious by itself (by being labeled as one of the top kids from the school); and

Maybe you could split "reward" into two parts: a) some award that will be prestigious by itself (by being labeled as one of the top kids from the school); and b) financial help available for winners of a) with family income under X. Isn't it how US system works? Getting high SAT will get you to Harvard (prestige part of the reward), and if your family has income under $60K, your tuition is dropped (financial part of the reward selectively applied to poorer students).