Despite their best efforts, the pair fell less than 0.040secs shy of the lap time required to make it out of Q2 and had to settle for eleventh and twelfth on the grid, although both will be promoted a place by Webber's penalty.
Daniel Ricciardo in 13th and the final man to make up a place at Webber's expense, with Adrian Sutil and Paul di Resta back in 14th and 15th for Force India as the Silverstone-based team continued its recent struggles.
Jean-Eric Vergne was 16th on the times ahead of Williams pair Valtteri Bottas and Pastor Maldonado, who again failed to make it past Q1 – although Bottas came noticeably closer having lapped half a second quicker than his team-mate.
Charles Pic edged out team-mate Giedo van der Garde to head the Caterham/Marussia battle at the back, with Jules Bianchi and Max Chilton sharing the back row.
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