No.Grand PrixCircuitPoleWinner
1Argentina Buenos Aires Juan Manuel Fangio • Maserati Stirling Moss • Cooper
2Monaco Monaco Tony Brooks • Vanwall Maurice Trintignant • Cooper
3Netherlands Zandvoort Stuart Lewis-Evans • Vanwall Stirling Moss • Vanwall
4Indianapolis Indianapolis Dick Rathmann • Watson Jimmy Bryan • Epperly
5Belgium Spa-Francorchamps Mike Hawthorn • Ferrari Tony Brooks • Vanwall
6France Reims Mike Hawthorn • Ferrari Mike Hawthorn • Ferrari
7Britain Silverstone Stirling Moss • Vanwall Peter Collins • Ferrari
8Germany Nürburgring Mike Hawthorn • Ferrari Tony Brooks • Vanwall
9Portugal Porto Stirling Moss • Vanwall Stirling Moss • Vanwall
10Italy Monza Stirling Moss • Vanwall Tony Brooks • Vanwall
11Morocco Ain-Diab Mike Hawthorn • Ferrari Stirling Moss • Vanwall

Engines

2.5 L atmospheric or 0.75 L supercharged.
4.5 L atmospheric or 3.0 L supercharged engines were allowed at Indianapolis 500.

Points System

8-6-4-3-2 points for the top 5 places and 1 point for the fastest lap.
Best 6 results count toward championship.
The point is shared equally between drivers who set the same fastest lap time.
Only the points of the highest-scoring driver for each constructor at each race (including privateer entries) are counted towards the Constructors' Championship.
The points in Indianapolis 500 race are only awarded to drivers, not constructors.
The point for fastest lap is only awarded to drivers, not constructors.

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This season on Wikipedia.