Jim Jefferies made just one change with Peter Leven coming in for
Garry Hay.
Celtic had been going through the motions since winning the title
weeks ago and Killie gave them a scare after just two minutes.
Leven's long throw was allowed to bounce and football writers' young
player of the year Steven Naismith got in ahead of Varga to put the ball
over from close range.
David Marshall gave the low home side a fright of a different kind
moments later when he came off worse in a crunching slide challenge with
Colin Nish - but he recovered after some attention.
Forgotten man Thompson rolled back the years in the 10th minute with
a delicate chip to send Petrov clean through - but the want-away
midfielder's right-foot was drive saved by Alan Combe.
The Bulgarian would have been through again, from McGeady's pass, in
the 14th minute but for Frazer Wright's important intervention.
Wright was again in the right place at the right time in the 37th
minute as Zurawski tried to pick out Pearson at the back post.
But Gary Wales should have headed the visitors into the lead five
minutes before half-time when Danny Invincibile picked him out, seven
yards from goal, but he put his effort straight at Marshall.
Zurawski brought the crowd to life in the third minute of the second
half having been picked out by Roy Keane.
The Polish star did brilliantly to take the ball in his stride but
Combe was alert to rush off his line to save at his feet.
The crowd expected something special in the 55th minute when the ball
fell to Keane after Pearson had left James Fowler and Leven for dead -
but the Irishman sliced his shot horribly wide from 20 yards.
But Celtic went ahead moments later as Zurawski converted their best
move of the night.
Keane played the ball out wide to Mark Wilson and he picked out the
Pole, who slotted the ball home at the far post.
Varga then strengthened his case for a new contract in the 64th
minute by heading Wallace's inviting cross past Combe from six yards.
Moments later and players' young player and player of the year
Maloney came on for McGeady.
Jefferies knew any hopes of fourth place had evaporated and he
brought on Paul di Giacomo for Wales seconds later.
Nish could have reduced the deficit late on but he drove over the top
from eight yards.
Dublin could have capped his arrival from the bench with the third
but he watched his shot, from Wilson's cross, well saved by Alan Combe.
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