Querrey also upset Djokovic at Wimbledon last year but Murray never looked like slipping on any banana skins in round three.

He put Querrey away 6-4, 6-2, 6-4 in just under two hours, winning 77 per cent of points on his first serve and facing only three break points in a clinical display.

The Scottish world number one also showed no signs of discomfort in his right ankle, after he rolled it painfully during his second-round win over Andrey Rublev.

“I felt better and better as the match went on in terms of my movement,” he said. “The ankle was a little sore and I was a little tentative at the start but it got better and better through the match.”

Federer, 35 and returning from an injury lay-off, said he even surprised himself with an imperious win over Berdych that left the Czech shaking his head as he departed.

“In practice things were going well, but I’ve never been the practice king. I was winning tons of sets,” Federer said, adding: “It’s been unbelievable. I did surprise myself.”

Murray and 17th-seeded Federer are on course to meet in the quarter-finals, with the Scot next facing Mischa Zverev and the Swiss veteran up against Kei Nishikori.

Japan’s Nishikori should provide a stern test for Federer and the fifth seed underlined his confident form by seeing off Slovakian qualifier Lukas Lacko 6-4, 6-4, 6-4.

Stan Wawrinka, the 2014 champion, survived a four-set tussle with Viktor Troicki 3-6, 6-2, 6-2, 7-6 (9-7) and now faces Italy’s Andreas Seppi, who ousted Steve Darcis of Belgium.

Jo-Wilfried Tsonga also came through in four sets against American Jack Sock and will play Briton Dan Evans, who beat Australia’s Bernard Tomic 7-5, 7-6 (7-2), 7-6 (7-3).

In the women’s draw, Kerber finally got into her stride with a 6-0, 6-4 destruction of Kristyna Pliskova, the 58th-ranked twin sister of Czech fifth seed Karolina.

The German defending champion was an early loser at both of her warm-up tournaments and was taken to three sets in unconvincing wins in round one and two.

But Kerber clicked into gear against Pliskova, winning in just 55 minutes to set up a last-16 clash with America’s Coco Vandeweghe, who ousted Canadian starlet Eugenie Bouchard.

“I’m looking forward to the next one. Yeah, I think that I find my rhythm to the tournament now,” Kerber said.

Svetlana Kuznetsova outlasted fellow thirty-something Jelena Jankovic 6-4, 5-7, 9-7 and will next play fellow Russian Anastasia Pavlyuchenkova.

French Open champion Garbine Muguruza was a 6-4, 6-2 winner against Anastasija Sevastova, setting up an encounter with Romania’s Sorana Cirstea.