Yes

you do need a jacket based on the weather in Penge, London SE20 7AF, UK 1 second ago

Why? Because sorry, it's too cool for just a hoodie and it's on the windy side!
59°F15°C & Cloudy

Wind is 9 mph15 km/h from the West, gusting to 20 mph32 km/h
June 1
4am59°F15°C10 mph15 km/h WestCloudy
5am61°F16°C10 mph17 km/h WestCloudy
6am63°F17°C11 mph18 km/h WestMostly Cloudy
7am65°F18°C12 mph19 km/h WestMostly Cloudy
8am66°F19°C12 mph20 km/h WestMostly Cloudy
9am68°F20°C13 mph21 km/h SouthwestMostly Cloudy
10am68°F20°C13 mph21 km/h SouthwestMostly Cloudy
11am67°F20°C14 mph22 km/h SouthwestMostly Cloudy
12pm66°F19°C13 mph21 km/h WestMostly Cloudy
1pm65°F18°C12 mph20 km/h SouthwestMostly Cloudy
2pm64°F18°C12 mph19 km/h SouthwestMostly Cloudy
3pm63°F17°C11 mph17 km/h WestPartly Cloudy
DateLowHighWindDayNight
May 3156°F13°C68°F20°C11 mph18 km/h from WestMostly CloudyMostly Clear
June 152°F11°C68°F20°C8 mph12 km/h from WestMostly ClearMostly Cloudy
June 251°F11°C65°F18°C15 mph24 km/h from SouthwestDrizzleMostly Clear
June 350°F10°C63°F17°C11 mph17 km/h from SouthwestPartly CloudyMostly Cloudy
June 451°F11°C61°F16°C12 mph19 km/h from SouthwestRainDrizzle
June 551°F10°C64°F18°C12 mph19 km/h from SouthwestMostly CloudyRain
June 651°F11°C64°F18°C13 mph21 km/h from SouthwestDrizzlePartly Cloudy

Yes

Low of 52°F11°C, High of 68°F20°C
Wind: 8 mph12 km/h
Precipitation: None

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