Murray opened the first set tiebreaker in six to zero unanswered blasts finishing the game tiebreaker at 7-6 (7-1).
World number 1 Andy Murray has added his voice to the list of players who have criticized the condition of the playing surface at the All-England Club. His indefatigable countenance was disturbed by an inspired showing, and he ultimately proved unable to take the measure of the only player left in the tournament unpredictable enough to flummox him in the crunch.
The Frenchman provided Murray with the latest test of his title credentials as well as of his injured hip, but the champion reached the last eight for the 10th straight year with some comfort.
Paire, known as much for his outbursts on court as his unorthodox shot making, surprised Murray by breaking him in the third game of the match, as the number one seed started slowly.
Matches were suspended throughout the day on outside courts before play was abandoned completely in the early evening. This is Murray's 26th grand-slam quarter-final and only Querrey's second, but the Scot has been upset by big servers at previous grand-slam events.
Konta became the first British woman for 33 years to make the Wimbledon quarter-finals on win over France's Caroline Garcia.
With the loss by Kerber, either Simona Halep or Karolina Pliskova will take over as the top-ranked player after the tournament.
Groundstaff have also taken extra steps to protect the turf from the blazing sun, including closing the Centre Court roof before play on Friday, and the courts were now playing as well as ever.
"Venus Williams won this tournament a few (five) times". I think what Jo has done is great. Halep, now ranked at two, could end the tournament as the world number one.
The bias on Court One, Wimbledon's second show court, is less pronounced, with 12 male ties to 10 female so far, but Monday's scheduling there again came out two-to-one for the men.
The victor will play either second seed Simona Halep or two-time Wimbledon semi-finalist Victoria Azarenka, who knocked out Britain's Heather Watson in round three.
But grass seems to have revitalised the Serb, who has moved into the second week without dropping a set as he chases a fourth Wimbledon title and first Grand Slam title since last year's French Open.
For the first time in the Open era, seven of the last 16 men are over 30 years old.
Murray and Paire share Centre Court billing with Williams, who faces Croatian teenager Ana Konjuh, and Roger Federer against Grigor Dimitrov.
"Whether it will work in the future at any stage I'm not sure".
This is Murray's tenth straight appearance in the last eight at the All England Club and, after taking down four unconventional opponents, he'll know exactly what to expect with big-serving American Sam Querrey.