Due to their low access latency, high read speed, and powerefficient operation, flash memory storage devices are rapidly emerging as an attractive alternative to traditional magnetic storage devices. However, tests show that the most efficient indexing methods are not able to take full advantage of flash memory storage devices. In this paper, we present a set of multi-level bitmap indexes that can effectively utilize flash storage devices. These indexing methods use coarsely binned indexes to answer queries approximately, and then use finely binned indexes to refine the answers. Our new methods read significantly lower volumes of data at the expense of an increased disk access count, thus taking full advantage of the improved read speed and low access latency of flash devices. To demonstrate the advantage of these new indexes, we measure their performance on a number of storage systems using a standard data warehousing benchmark called the Set Query Benchmark. We observe that multilevel strategies on flash drives are up to 3 times faster than traditional indexing strategies on magnetic disk drives.