Monday: Kazzum brings street theatre for kids to Hackney Marsh Adventure Playground with Paper People from 2pm — other locations throughout the week (free).
Tuesday: Watch Gustav Klimt street art being created in Grosvenor Gardens from 9am-7pm (free).
Wednesday: The Big Chill House terrace reopens with free burgers and cocktails for all from 6-9pm (free).
Science London Presents: An Optimist’s Tour Of The Future upstairs at The Lamb, Lamb's Conduit Street from 7pm (free).
Friday: Ballet film The Red Shoes will be screened on the National Theatre flytower from 9pm (free).
Saturday: Warm up for Notting Hill Carnival with the Paraiso School of Samba Party in the Royal Festival Hall from 7.30pm (free).
Sunday: Free festival Bookstock 2012 offers music, games, food and fancy dress courtesy of the Book Club on Leonard Street, Shoreditch — get a wristband to fast track in — from noon till 8pm (free/£5 after 8pm).
Check out our things to do in London for free page for more.
Photo by Mini Mel via the Londonist Flickrpool.