UNION'd queries should produce the same columns (name, type). Set unused columns to NULL or use a differenciation column:
SELECT
  SUM(count) as `total`,
  'today' as `when`
FROM
  statistics
WHERE
  name = "test"
 AND $P{oneDayAgo} <= datetime
 AND datetime <= $P{now}
UNION
SELECT
  SUM(count) as `total`,
  'thisWeek' as `when`
FROM
  statistics
WHERE
  name = "test"
 AND $P{oneWeekAgo} <= datetime
 AND datetime <= $P{now}
UNION
SELECT
  SUM(count) as `total`,
  'thisMonth' as `when`
FROM
  statistics
WHERE
  name = "test"
 AND $P{oneMonthAgo} <= datetime
 AND datetime <= $P{now}
                  streetpc
                   2009-06-16 16:41:10