Free And Cheap Things To Do In London This Week: 9-15 October 2017

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See these British and American badges from the 1970s at The British Museum.

PHOTOGRAPHY AWARDS: Non-binary portraits and Dubai's elite are just a couple of the topics explored at the Magnum and LensCulture Awards, where you can see the work of 41 photographers from five continents. The Photographers Gallery, free before noon (£4 after), just turn up, until 18 October

REFUGEE CRISIS PHOTOGRAPHY: These photos from world-renowned photojournalist Giles Duley make for essential yet heartbreaking viewing. The series is accompanied by a soundscape from Massive Attack, art by Syrian artists and Syrian cuisine (book separately). Old Truman Brewery, free entry, just turn up, until 15 October

LGBTQ HISTORIES: 2017 marks 50 years since the Sexual Offences Act was passed. This display offers insight into LGBTQ histories and experiences through objects from around the world. Room 69a, British Museum, free, just turn up, until 15 October

Monday 9 October

BHM HERITAGE: An evening dedicated to South African art, food, wine and entertainment, plus talks about Enfield's links with the country. Dugdale Centre, free, book ahead, 6.30pm-8.30pm

CHARITY GIG: Get yourself down to one of London's intimate, charismatic live music venues for this rock n roll charity gig. Last year Musicians Against Homelessness managed to raise £40,000 for homeless charity Crisis. Help them top that figure. Mau Mau Bar, free (donations encouraged), just turn up, 7pm-11pm

Tuesday 10 October

Madina Bamba, 19 from Ivory Coast aspires to be a nurse. See more photos like this at Protein Studios.

BREAKING BARRIERS: What's it really like for young refugees arriving in the UK, navigating the asylum system and making a life here? Find out in this photo series which follows the journey of ten young people, now living in England. Protein Studios, free, just turn up, 8.30am-6pm, until 15 October

ROMAN LONDON: Much of the Capital's history is buried six feet under, including some recently unearthed writing tablets dating back to AD 50-90. In this free lecture Dr Roger Tomlin explains what can be learned from them. Museum of London, free, just turn up, 1pm-2pm

LUNGE AND LEARN: Not content with a simple jog round the park, this 5km tour tests your London knowledge and fills you in on quirky trivia as you star jump your way around the city. Royal Exchange, free, book ahead, 5.30pm-6.30pm

Wednesday 11 October

Journey through Iranian culture with this selection of Persian shorts at Rich Mix.

GUITAR HISTORY: Yes, guitars existed before Guitar Hero hit our Playstations. Find out how the Tudors enjoyed this instrument through documents, poetry and pictures. St Sepulchre's, free, just turn up, 1pm-2pm

RARE BOOKS: A good book is that much more exciting when it's rare. Go behind the scenes and uncover some gems on these intimate tours at National Archives collection. The National Archives, free, book ahead, 2pm-3pm, until 14 October

HISTORY OF PAIN: Pain is the hot topic tonight. Some questions being considered are: how has our experience of pain evolved? How did pain killers revolutionise medical practices? How does the way we communicate pain affect the care we receive? Museum of London, free, just turn up, 6pm-7pm

SHORTS ON TAP: For an evening immersed in Iranian culture, join Shorts on Tap for a screening a selection of Persian short films. 93 Feet East (Shoreditch), £3, book ahead, 7pm-11pm

Thursday 12 October

Look out for bats at Tower Hamlets Cemetery. Photo: Matt Brown (2015)

BAT WALK: Get your nature fix without trekking to the countryside on this guided bat walk through Tower Hamlets Cemetery, with bat detectors provided. Tower Hamlets Cemetery Park, £5, book ahead, 5.30pm-8pm

WAR TESTIMONIES: Hear stories from the Armenian community's experience of the First World War, followed by a discussion and accompanied by a pop-up exhibition. The Wiener Library, Bloomsbury, free, book ahead, 6pm-8pm

LAST LONDON TALK: Join London authority Iain Sinclair as he chats about the final chapter in his life-long odyssey through the streets of the Big Smoke, The Last London with lifelong fan and fellow explorer Jon Day (Cyclogeography: Journeys of a London Bicycle Courier). Waterstones Tottenham Court Road, £5, book ahead, 6.30pm

TYPE & LETTER ART: A group exhibition curated by female graffiti artist Sophy Robson, where the subject is type and letter-based. Tonight's opening includes a live DJ set by susanslegpolicy and the chance to meet the artists. Soho Takeover Gallery, free, just turn up, 6pm-9pm, until 15 October

Friday 13 October

Hear music by black composers as part of Southwark’s Black History Month.

PIANO RECITAL: Hear Emmanuel Vass performing a piano recital of music by black composers as part of Southwark’s Black History Month, including tunes from Michael Jackson, and Bob Marley. All Saints Church (West Dulwich), free, book ahead, 3.45pm-5pm

WHY MUSIC?: A three-day music extravaganza at the Wellcome Collection with BBC Radio 3 taking you on a tuneful journey of live broadcasts, concerts and events. Wellcome Collection, free, book ahead, until 15 October

Saturday 14 October

Celebrate African arts and culture at Trafalgar Square.

HEATH ROBINSON FESTIVAL: Join the Heath Robinson Museum's first birthday celebrations, which include storytelling with Paul Jackson, balloon crafts, blow-up volleyball and mini-golf. Heath Robinson Museum (Pinner), free, just turn up, 11am-3pm

AFRICA ON THE SQUARE: Gather your mates and head to this colourful event celebrating African arts and culture through live music, dancing, food stalls, fashion shows and the ever popular talent show. Trafalgar Square, free, just turn up, noon-6pm

GONZO: Fed up of generic, auto-tuned music on your night out? Head to recently refurbed live music venue the Garage, where you can get your jig on to the likes of Arcade Fire, Arctic Monkeys, Beastie Boys, Blink 182, Bloc Party, Blur, Disclosure and Foals. Plus, you can't go wrong with two-for-one drinks all night long. Free entry before 12.30am, book ahead, 11pm-4am

Sunday 15 October

Diwali Festival back in 2014. Photo: John Morrill (2014)

VINTAGE FAIR: Pick up vintage garb, including collectible pieces from big shot designers and 1920s flapper dresses at Chelsea's vintage fashion fair. Chelsea Old Town Hall, £2/£4, book ahead, 11am-5.30pm

FAMILY BIG DRAW: Kids (ages 4-11) are invited to play with poetry and experiment with drawing and printmaking using colour, light, words and images in these fun, creative workshops happening every third Sunday. Keats House, free, just turn up, 1pm-4pm

DIWALI FESTIVAL: Expect fabulous dancing, vibrant costumes and plenty of delicious street food at the 16th anniversary Diwali Festival, which celebrates the Hindu, Sikh and Jain festival of lights. Trafalgar Square, free, just turn up, 1pm-7pm

INDIAN VOICES: Hear Indian feminist author and publisher Urvashi Butalia speak about transgender identities in the city, as part of the India Voices season. UCL Christopher Ingold Building, free, book ahead, 6.30pm-8pm