C172 INSTRUCTOR PLT TURNED AHEAD OF THE ACFT HE WAS TOLD TO FOLLOW. THE INSTRUCTOR PLT HAD ANOTHER ACFT IN SIGHT.

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I WAS RECEIVING A STAGE CHK AT THE FLT SCHOOL I AM CURRENTLY ATTENDING. THE CHK WAS FOR CFII. I WAS IN THE ACFT IN THE R SEAT DEMONSTRATING INST INSTRUCTOR CAPABILITIES. THE SCHOOL CHK PERSONNEL WAS MANIPULATOR OF THE CTLS DURING THE ENTIRE FLT. I HAD REQUESTED A PRACTICE APCH TO RWY 28L WITH CIRCLE TO LAND. UPON REACHING DECISION HT THE CHK INSTRUCTOR CALLED MISSED APCH AND MANEUVERED THE ACFT TO THE S OF THE RWY ENVIRONMENT AND ENTERED A R DOWNWIND FOR RWY 10R AS INSTRUCTED BY TWR. THE TWR THEN ASKED IF A SHORT APCH COULD BE MADE. THE CHK INSTRUCTOR REPLIED; 'YES.' THERE WAS TFC IN THE PATTERN ON BOTH SIDES FOR BOTH RWYS. THE TWR THEN CLRED A DASH 8 FOR LNDG ON RWY 10L. THE TWR THEN CLRED A KING AIR FOR RWY 10R. THE TWR SAID WE WOULD BE #2 BEHIND THE KING AIR AND THAT TWR WOULD CALL OUR BASE. I SPOTTED THE KING AIR IN A L BASE FOR RWY 10R. I DID NOT STATE CONTACT TO THE TWR OR THE CHK INSTRUCTOR. THE CHK INSTRUCTOR TOLD TWR 'CONTACT ON THE KING AIR.' THE TWR TOLD US CLRED TO LAND #2 BEHIND THE KING AIR ON RWY 10R. THE CHK INSTRUCTOR REPLIED CLRED TO LAND #2 RWY 10R. AT THIS TIME I NOTED THAT THE INSTRUCTOR WAS TURNING ONTO BASE LEG; I HAD THE DASH 8 IN SIGHT FOR RWY 10L AND IT APPEARED TO ME THAT THE CHK INSTRUCTOR WAS CONFUSED ABOUT THE ACFT TO FOLLOW. I IMMEDIATELY STATED THAT THE ACFT HE WAS TURNING TO FOLLOW WAS NOT THE KING AIR. AT THAT TIME THE PLT OF THE KING AIR ASKED THE TWR TO CONFIRM HE WAS CLRED TO LAND; AS THERE WAS A CESSNA IN FRONT OF HIM. THE TWR REQUESTED US TO MAKE AN IMMEDIATE R TURN. WE REENTERED THE PATTERN FOR A LNDG ON RWY 10R AS INSTRUCTED BY THE TWR. I BELIEVE THE CHK INSTRUCTOR DID NOT KNOW HIS ACFT VERY WELL. ALSO THIS CONFUSION COULD HAVE BEEN COMPOUNDED; AS IT IS A LITTLE UNUSUAL TO HAVE L TFC FOR THE R RWY. I FEEL THIS COULD HAVE BEEN AVOIDED BY HAVING THE TWR CALL OUR BASE LEG BEHIND THE KING AIR AS ORIGINALLY STATED. I ALSO THINK THAT I SHOULD HAVE POINTED THE TFC OUT TO THE CHK INSTRUCTOR AND NOT ASSUME THAT HE AND I HAD THE SAME ACFT IN SIGHT. THE CHK INSTRUCTOR IS 70+ YRS OF AGE. THE INSTRUCTOR HAD RECENTLY SURRENDERED HIS DESIGNATORS EXAMINER'S AUTH. THE INSTRUCTOR DID NOT SEEM TO BE TOO CONCERNED ABOUT THIS.