All week
ART EXHIBITION: Four diverse emerging artists, Alison Ballance, Rutie Borthwick, Hugo Brazão and Harriet Foyster, are showcasing their works at PEER UK in Islington. Free, just turn up, until 15 October
IDENTITY EXHIBITION: Where I Belong is a new exhibition at Idea Store in Cubitt Town Library. It uses oral history recordings and archive history to explore the lives of black and Asian women in Tower Hamlets. Free, just turn up, until 28 October
PHOTOMONTH 2016: See photos of everything from agricultural workers in India to chickens in Dalston as part of Photomonth East London International Photography Festival. Venues taking part and showing photos include Rich Mix and the Old Truman Brewery. Free, just turn up, until 30 November
Monday 3 October
ADULTS' SPELLING BEE: Brush up on your vocab because words from both the Oxford Dictionary and Urban Dictionary feature in The Book Club's spelling bee for adults . £5, book in advance, 7pm
Tuesday 4 October
LUNCHTIME CONCERT: The Billroth Quartet are performing as part of Lauderdale House's free monthly lunchtime concerts. The House is currently closed, so it takes place at Hill Homes nearby. Free, just turn up, 1.15pm
CHRISTIE'S LATES: The theme of this month's Christie's Lates is The Contemporary Collector. It features a panel discussion with dealer Gordon Watson and Tintinologist (yep, that's a thing apparently) Michael Farr. Free, just turn up, from 6pm
Wednesday 5 October
RHODES STATUE TALK: David Starkey is among the panellists at Senate House arguing whether or not history should be rewritten in accordance with changing values and whether or not we should apologise for historical wrongs. £5, book in advance, 6pm
PHILOSOPHY CAFE: Are we more than atoms? is the topic of Bethnal Green's Philosophy Cafe, taking place at The Gallery Cafe on Old Ford Road. Free, just turn up, 7pm
£1 COMEDY: Brendon Burns, Mark Palmer and Tom Goodlife are performing at The Top Secret Comedy Club in Drury Lane. £1, book in advance, 8pm
Thursday 6 October
FREE DRUMMING FESTIVAL: Hear top drummers like Bob Knight and Richard Spaven, and take free drumming classes as part of YML Drum Fest '16. Free, just turn up, until 9 October
TRANSLATING JOURNALISM: Journalists and editors come together at Free Word London to discuss what is translated through reporting, and the difficulties of reporting other people's stories. £5, book in advance, 6.45pm
HAIKU ON FOOT: Take a free walking workshop through one of London's oldest market neighbourhoods, composing haiku as you go. Free, book in advance, 6.30pm
Friday 7 October
LATE AT TATE: Veil by Iranian artist Shirazeh Houshiary is the inspiration for the installations, DJs and spoken word at the Late at Tate Britain. Free, just turn up, 6pm
SEX AND ANTIQUITY: Daniel Orrells explores how ancient words and ideas (including British Museum objects) have shaped our current beliefs about sex. £5, book in advance, 6.30pm
Saturday 8 October
YOUNGEST STEAM TRAIN: Calling all railway enthusiasts: see the UK's youngest steam train, the 60163 Tornado, leaving King's Cross station at 9.07am, heading out through Alexandra Palace and returning from Lincoln to King's Cross at 20.57.
FUNGAL WALK: Celebrate UK Fungus Day with a fungal foray in Crystal Palace Park. Free, book in advance, 11am
Sunday 9 October
APPLE DAY: Over 100 varieties of apples are available to sample at Roots and Shoots' 17th Annual Apple Day in Lambeth. On-the-spot pressing, craft stalls and kids' storytelling will also be on offer. £1, just turn up, 11am-4pm
RAINHAM HALL: Grade II-listed Rainham Hall is celebrating its birthday with family friendly crafts, activities and stalls. Free, just turn up, 11am-3pm
