Yes

you do need a jacket based on the weather in Woking, UK 1 second ago

Why? Because it's colder than a polar bear's pyjamas
29°F-2°C & Clear

Wind is 4 mph6 km/h from the S, gusting to 9 mph14 km/h
December 2
2pm29°F-2°C4 mph7 km/h SClear
3pm29°F-2°C4 mph7 km/h SEMostly Clear
4pm29°F-2°C5 mph8 km/h SEMostly Clear
5pm31°F-1°C6 mph9 km/h SEPartly Cloudy
6pm32°F-0°C7 mph11 km/h SCloudy
7pm34°F1°C8 mph12 km/h SCloudy
8pm36°F2°C9 mph15 km/h SCloudy
9pm37°F3°C11 mph17 km/h SCloudy
10pm38°F3°C11 mph18 km/h SCloudy
11pm38°F3°C12 mph19 km/h SRain
December 3
12am38°F4°C12 mph19 km/h SRain
1am39°F4°C10 mph17 km/h SDrizzle
DateLowHighWindDayNight
December 129°F-2°C34°F1°C2 mph3 km/h from WPartly CloudyFreezingrain
December 234°F1°C46°F8°C7 mph11 km/h from SRainRain
December 339°F4°C47°F8°C9 mph15 km/h from NWRainCloudy
December 435°F2°C42°F6°C12 mph20 km/h from NWMostly CloudyPartly Cloudy
December 531°F-0°C41°F5°C6 mph10 km/h from SEDrizzleDrizzle
December 640°F4°C51°F10°C15 mph24 km/h from SDrizzleMostly Cloudy
December 746°F8°C52°F11°C9 mph14 km/h from SDrizzleMostly Cloudy

Yes

Low of 34°F1°C, High of 46°F8°C
Wind: 7 mph11 km/h
Precipitation: 79% rain

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