Perez, who vaulted to fourth in the overall standings after Sunday's race, is the first Mexican driver to win a race since Pedro Rodriguez took victory in the 1970 Belgian Grand Prix.
The pole was a record-extending 88th of Hamilton's career and fifth of the season.
Hamilton's team mate Valtteri Bottas finished third, ahead of Ferrari's Charles Leclerc, in a race aimed at providing more thrills for fans over the three days of track action and potentially shaking up the starting grid.
Hamilton decided to take matters into his own hands and pass several cars ahead of him, without gaining anything as Verstappen's time stood the test.
The pole was the second of the Dutch 22-year-old's Formula One career and the first in Brazil for engine partners Honda since the late triple champion Ayrton Senna in 1991 with McLaren.
Lewis Hamilton won the French Grand Prix on Sunday as Formula One champions Mercedes put on another show of dominance with their 10th victory in a row and 50th one-two finish.
Formula One world champion Max Verstappen won the inaugural Miami Grand Prix for Red Bull on Sunday, slashing Ferrari rival Charles Leclerc's overall lead from 27 to 19 points after five races.
Ferrari's Charles Leclerc qualified third with team mate Sebastian Vettel a distant seventh on a distinctly off day for the German.
Red Bull's Max Verstappen won Formula One's 70th Anniversary Grand Prix at Silverstone on Sunday to end Mercedes' run of domination and become champion Lewis Hamilton's closest challenger.
Red Bull's Mexican Sergio Perez was a distant third, struggling with dehydration after a water bottle failure in the Texas heat.
Rafael Nadal will have his work cut out when play begins next week, not on the Caja Magica's three red dust courts, but on gaming consoles.
Lewis Hamilton won the Monaco Grand Prix for Mercedes on Sunday, nursing his car's worn tyres to the finish in a nail-biting victory worthy of the team's late great Niki Lauda.
Lewis Hamilton won the Chinese Grand Prix to seize the overall lead from his Mercedes team mate Valtteri Bottas in Formula One's 1,000th world championship race on Sunday.
The six times world champion took the chequered flag at Imola 5.783 seconds ahead of team mate Valtteri Bottas, who started on pole position.
Jehan's rookie year in F3 got off to a solid start in the previous weekend at Silverstone where the multiple Indian and Asian Karting champion earned himself two rookie podiums.
Formula One leader Max Verstappen passed Mercedes rival Lewis Hamilton on the penultimate lap to win a tense French Grand Prix for Red Bull on Sunday and canter 12 points clear at the top.
Lewis Hamilton seized pole position in the dying seconds of qualifying for the first Portuguese Grand Prix in 24 years on Saturday to deny and dismay Mercedes team mate Valtteri Bottas once again.
Lewis Hamilton led every lap from pole position to chequered flag, banging in a fastest lap for good measure to emphasise his supremacy
Seven times world champion Lewis Hamilton hunted down Max Verstappen to win the Sao Paulo Grand Prix for Mercedes on Sunday and slash his Red Bull rival's Formula One lead to 14 points in one of the greatest drives of his career.
The race has been won from pole eight times out of 11 editions.
Seven-time world champion Lewis Hamilton overtook main rival Max Verstappen and Mercedes team mate Valtteri Bottas to win the Portuguese Grand Prix on Sunday and go eight points clear in the Formula One standings.
IMAGES from the Silverstone F1 GP on Sunday
Dan Ticktum, who is also into his maiden Formula 2 season like Daruvala, won the race from pole position with another rookie, Christian Lundgaard, finishing second. Louis Deletraz was third.
The pole was the 91st of Lewis Hamilton's career and seventh at Silverstone.
While 40-year-old racers were relatively common in the sport's early days, they are a rarity in modern Formula One with an increasing emphasis on youth.
Formula One got back on track in changed circumstances on Friday but with Mercedes bringing a familiar look to the timing sheets as six times World champion Lewis Hamilton led team mate Valtteri Bottas one-two in Austrian Grand Prix free practice. The Briton did 41 laps and lapped with a best time of one minute 04.816 seconds in a damp and overcast session, 0.356 faster than the Finn.
Lewis Hamilton won a crazy, twice-halted Saudi Arabian Grand Prix for Mercedes on Sunday to go level on points with Red Bull rival Max Verstappen and set up a winner-takes-all title showdown.
Hamilton said he only realised the significance of what he had done when he came into the pitlane after taking the chequered flag.
The Dutchman stopped Hamilton from winning an eighth title with a gutsy turn in the final lap.
Monaco's Leclerc, who had started on pole position for the first time, lost power with 10 laps to go while leading and finished third with an extra point for the fastest lap.
The Finn lapped the six-km Baku street circuit in one minute, 40.495 seconds, just 0.059 seconds faster than team mate and championship leader Lewis Hamilton.
Vettel will be sharing Ferrari testing duties with the 20-year-old at Bahrain's Sakhir circuit next week after the second grand prix of the season.
The Formula One season starts in Australia on March 17 with new regulations, changed lineups, a trio of young rookies fresh from Formula Two and the comeback of Poland's Robert Kubica.
Hamilton already had more race wins, pole positions and podium finishes than any other driver in the history of the sport.
Six-times world champion Lewis Hamilton and his team will take centre stage, hoping for another year of dominance after winning both titles for the past six years and ending up fastest in winter testing. Ferrari can be trusted to provide plenty of headlines with four-times champion Sebastian Vettel fighting to reassert himself at the team after being outshone by quick newcomer Leclerc, a double winner in 2019.
Lewis Hamilton collected his champion's trophy at a glittering gala in Paris after ending the year in touching distance of Michael Schumacher's records for wins and titles.
Ferrari's Charles Leclerc held off Lewis Hamilton to win his first Formula One race on Sunday in the Belgian Formula One Grand Prix.
Red Bull's Max Verstappen celebrated his first Formula One pole position at the Hungarian Grand Prix on Saturday.
The Scottish broadcaster said Murray was self-isolating and still had hopes of competing in the Australian Open next month.
Ferrari's times were eye-catching, and quicker than anything from last year's weather-affected first four-day test at the Circuit de Catalunya.