A gaming system includes at least one input device adapted to receive a physical item associated with a monetary value that establishes a credit balance, an input indicative of a wager drawn on the credit balance for a wagering game, and a cashout input that initiates a payout from the credit balance. In response to a wager input, a wagering game is initiated that includes the spinning and stopping of a set of bonus reels through a plurality of bonus spins populating a bonus array with bonus symbols. The bonus reels comprise a combination of symbols reducing display processing requirements and improve mapping random numbers to displayed symbols for display during bonus spins having reduced durations. When completed, an award is determined based according to values associated with less than all of the bonus symbols displayed in a bonus outcome array.