Try: 1.Qc8?  [2.Qxa6]
 1...Ra8 2.Qxa8
   But 1...Ra7!  
 
Try: 1.Qd5?  [2.Qb5, Qd1]
 1...Rb6 2.Qa5  
   But 1...a2!
 
Try: 1.Kd4? [2.Qc4]
  But 1...Rxc6!  
 
Solution: 1.Qg2  [2.Qc2]
 1...Rb6   2.Ra5  
 1...Rxc6+    2.Qxc6
 1...a2      2.Qxa2

Ten virtual or actual mates