BOMBARDIER GLOBAL EXPRESS CREW HAD AN ALT OVERSHOT AFTER THE CREW DID NOT SET QNE AT THE TRANSITION LEVEL. ATC DID NOT INFORM THE CREW WHAT THE TRANSITION LEVEL WAS; AND THE CREW DID NOT ASK.

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WE RECEIVED OUR IFR CLRNC TAXIING OUT TO RWY 24 AT EGPE (INVERNESS; SCOTLAND). IT STATED THAT WE WERE TO CLB OUT TO FL100 AND THAT WE WERE CLRED AS FILED. WE WERE ALSO GIVEN A CURRENT ALTIMETER SETTING OF 989 HECTO-PASCALS. AFTER TKOF WE CLBED AT A VERY HIGH RATE OF CLB TO FL100 AT WHICH TIME WE WERE TOLD TO CONTACT LOSSIEMOUTH RADAR. WHEN WE CHKED IN AT FL100 WE WERE ASKED WHAT OUR ALT WAS; AT WHICH TIME WE BOTH REALIZED THAT WE HAD NOT SWITCHED OUR ALTIMETERS TO 1013 HECTO-PASCALS FOR FLT LEVEL. ONCE WE REALIZED OUR ERROR WE STARTED DOWN TO OUR CORRECT ALT OF FL100; WE OVERSHOT BY ABOUT 400-500 FT. THE CTLR TOLD US THAT WE HAD BUSTED OUR ALT. WE ASKED THE CTLR IF THERE WAS ANY PROB; AND IF WE SHOULD TALK TO ANYONE. HE SAID IT WOULD NOT BE RPTED AND BID US A GOOD FLT. I FEEL THE CONTRIBUTING FACTORS WERE 1) FATIGUE; THE TIME CHANGE AND LACK OF PROPER REST; IE; TIME CHANGE 5 HRS UNITED KINGDOM. 2) CONFUSION AS TO WHEN WE SHOULD HAVE SWITCHED OUR ALTIMETERS TO 1013 HECTO-PASCALS HAVING BEEN GIVEN 989 HECTO-PASCALS ON THE GND AND HAVING BEEN CLRED TO FL100; AND NOT TALKING TO ANYONE TILL XFERRED TO LOSSIEMOUTH RADAR. ON THE APCH PLATE IT READ FLT LEVEL BY ATC; TRANSITION ALT 4000 FT; WHICH WE TALKED ABOUT AFTERWARD. ALSO; 3) NOT COMPLETING THE AFTER TKOF CHK BEFORE WE REACHED FL100 WHICH WOULD HAVE LED US TO TRANSITION LEVEL. I THINK THAT THIS MIGHT NOT HAVE HAPPENED IF 1) WE WERE MORE FAMILIAR WITH THE PHRASEOLOGY; AND WHEN WE SHOULD HAVE SWITCHED ALTIMETER SETTINGS; 2) ALSO BEING CLRED TO A FLT LEVEL OTHER THAN FL180 AS WE ARE USED TO IN THE UNITED STATES OF AMERICA; FOR SOME REASON PERHAPS FATIGUE THAT SWITCHING ALTIMETERS DID NOT CLICK. WE WENT BACK TO THE SAME ARPT EGPE (INVERNESS; SCOTLAND) AND WHEN WE DEPARTED WE WERE AGAIN CLRED TO A FLT LEVEL (FL85) ASSIGNED BY THE TWR/APCH CTLR. AFTER TKOF; WE CHANGED ALTIMETERS TO 1013 GOING THROUGH 4000 FT MSL. I MEANT TO ASK THE CTLR WHERE WE SHOULD CHANGE ALTIMETERS ON CLB BUT I FORGOT.