The Bm chord has two inversions. Practice playing the root position followed by the inversions with both left and right hands, to familiarize yourself with this new chord. You must know all the inversions of each chord in the left and right hands to enable you to play songs in any key and in any position on the keyboard.
The following two exercises are in the key of G major. Both the left and right hand parts only play notes that form a chord or belong to a chord (except bar 4 of Exercise 31). When the left hand is playing a chord the right hand is playing an arpeggio of that chord and vice versa.
The following exercise is in the key C major, and is in ^ time. The left hand part is a descending bass line, and is actually the C major scale. The second time through the progression, the left hand plays the full chord. The right hand plays an arpeggio of each chord. Experiment using your inversions for left hand part.