Things to do for £5 or less in London this week.
All week
LAST CHANCE TO SEE: Londinium AD43 is a photographic trip through London's history, overlapping Roman and modern maps, and historic images and modern photos. Guildhall Library, free, just turn up, until 31 March
FREE FILM FESTIVAL: West Norwood Free Film Festival takes place this week, with screenings of films including Finding Dory, The Goonies and I, Daniel Blake. Various locations around the area, free, book ahead, 24 March-1 April
WALKS FESTIVAL: Mental health charity CoolTan Arts has a week of guided walks — take a look at the programme and see if there's one you fancy. Southwark locations, £5, book ahead, 28 March-2 April
Monday 27 March
HEINZ BEANS: Celebrate all things beans at Selfridges. A pop-up is opening to mark the 50th anniversary of Heinz Meanz Beanz. Buy yourself a limited edition can for £2, or tuck into dishes including Beanz with scrambled egg or crispy bacon for £3. Selfridges Foodhall, dishes £3, just turn, 27 March-23 April
Tuesday 28 March
RIBA LATE: The Royal Institute of British Architects stays open late for an evening of talks, films, music and performances focusing on the work of 20th century architects Mies van der Rohe and James Stirling. 66 Portland Place, free, book ahead, 6pm-10pm
DNA CODE: Finding out how cracking the human genome (or DNA code) will help doctors to save lives, and the complications that rise from it, as this evening lecture. Royal College of Physicians, free, book ahead, 6pm-8pm
WIRING UP THE BRAIN: Head to this Royal Society neuroscience lecture to find out how the eye sends messages to the brain using nerve cells. The Royal Society, free, just turn up, 6.30pm-7.30pm
TEMPLAR POETRY: Poets Oliver Comins and Michael Woods read work from their new collections to an audience. Keats House, free, book ahead, 7pm-8.30pm
SWANS ON THE THAMES: You may associate the Thames more with sewage than with swans, but this talk at Chiswick Pier Trust covers the history of swans on the Thames, including their Royal connections. Chiswick Pier Trust, £3,7pm
OH BOY! COMEDY: Mat Ewins headlines this month's Oh Boy! comedy night, along with Alice Devlin, Andy Barr and others. Expect stand-up, character and sketch comedy. The Rose & Crown, Kentish Town, free (donations welcome), just turn up,7.30pm
FILM SCREENING: Serpentine Cinema ventures to Peckham for a screening of short films by artists Laura Provost and John Latham. Peckhamplex, £4,99, book ahead,8.30pm
Wednesday 29 March
BEER FESTIVAL: The Wandsworth Common Spring Beer Festival brings 100 cask ales and 25 craft ciders to Le Gothique restaurant and bar, along with live music and festival food. Wandsworth Common, £4/£3, book ahead, 29-31 March
REFUGEES: Two new exhibitions of work by German refugee artist open at Ben Uri Gallery today. One focuses on work by German Jewish painter Eva Frankfurther, who escaped to London in 1939. The other is a collection of art and archive material by German refugees who have arrived in Britain since 1900. Ben Uri Gallery, free entry, just turn up, 29 March- 18 June
PIANO DAY: Today's Piano Day (it's the 88th day of the year, there are 88 keys on a piano...) and Barbican is celebrating with performances of world premieres taking place on six Feurich grand pianos, which will be placed in the Foyers especially. Barbican Foyers, free, just turn up, 1pm/6pm
MICROHOUSING DEBATE: Is microhousing — the act of building smaller homes — an appropriate and effective way of dealing with London's housing crisis and ensuring that people aren't priced out of the city? This Centre for London debate brings expert panelists together to discuss the pros and cons of this solution. 7A Howick Place, Victoria, free, book ahead, 6pm-8.30pm
LONDON'S HIDDEN FLOWS: This series of Westminster Talks comes to a close with Professor Michael Neuman discussing how infrastructure is important to large cities such as London, in order to keep the city moving and developing. University of Westminster, free, book ahead, 6pm-7pm
SCIENCE MUSEUM LATE: Get your geek on at Science Museum's monthly late opening. Go hunting for meteorites, watch your heart pump, or dance at the silent disco. 18+, Science Museum, free, just turn up (be prepared to queue), 6.45pm-10pm
PUNK KINGS OF DYSLEXIA: Housmans bookshop hosts poet and punk-zine writer Stephen Micalef who will be reading from his book The Punk Kings of Dyslexia, a poetry collection about how the punk scene changed his life. Housmans, King's Cross, £3, book ahead, 7pm
Thursday 30 March
NATIONAL ARMY MUSEUM: After a three year refurbishment, this Chelsea Museum reopens to the public today. Find out about the British Army and its impact on society. Discover what it's like to serve as a soldier — and learn all about Britain's most highly decorated ass. National Army Museum, free entry, just turn up, 10am-5.30pm every day
HAND TIED FLOWERS: Learn how to make a bouquet of spring flowers with this free workshop in Waterloo. Materials are provided, but are first come first served, so get there early. Lower Marsh, Waterloo, free, book ahead, noon-3pm
ARTIFICIAL INTELLIGENCE: What will happen when artificial intelligence and the internet meet the professions? In other words, is a robot going to turf you out of your job anytime soon? That's the topic of this evening's Gresham lecture. Barnard's Inn Hall, free, just turn up, 6pm-7pm
FALSE SCIENCE: Londonist's own Matt Brown will be telling you why Everything You Know About Science Is Wrong. His new book picks apart some of the most-famous science 'facts'. You might want a word with your old school science teacher by the end of the evening. The Bell, Spitalfields, £4, book ahead, 7.45pm
FREE COMEDY: Sheraz Yousaf, Jimmy Bird and Jo Coffey are among the comedians on the bill at this free comedy evening. If you're willing to splash out a bit, treat yourself to some of the venue's legendary pizza while you watch the show. The Dogstar, Brixton, free, Just turn up, 8pm-10.30pm
Friday 31 March
LONDON POTTERS: Missing the Great British Pottery Throwdown? 30 members of London Potters are exhibiting their ceramic wares in an exhibition at Barbican Library — see pieces of varying style, texture, shape and colour.31 March - 26 April
REMEMBERING THE DOCKLANDS BOMB: A new exhibition at Republic Gallery remembers the 1996 IRA bomb at South Quay, including a short film and archive images. As well as the immediate impact of the bombing, it explores the effect the incident had on regeneration in the surrounding area. Republic Gallery, free entry, just turn up,31 March-9 April, Thursday-Sunday
SPRING ART SHOW: Trinity Art Studios puts on its first spring art show, showcasing work by nine artists including sculptors and painters. Trinity Buoy Wharf, free, just turn up, 31 March -2 April, 10am-5pm
FREE MUSIC: Enjoy a performance of traditional Brazilian Choro music courtesy of quartet The Chorões at Verdi Italian Kitchen. Royal Albert Hall, free entry, just turn up, noon
NATURAL HISTORY MUSEUM: Dippy may be gone but the party goes on at the Natural History Museum's monthly late night opening. The theme this time is food — get your teeth stuck into talks and events on the theme of feasting. Natural History Museum, free, just turn up (be prepared to queue), 6pm-10pm
Saturday 1 April
EASTER HOLIDAYS: For most London parents, school's out for Easter now. Fear not though, we've got a packed list of events to keep the kids busy, whatever their age and whatever your budget. Lego, robots, Moomins and Easter eggs all make an appearance — take a look at our guide.
ART FAIR: The Hampstead Garden Suburb Artists are putting on a free art fair, featuring paintings, sculptures, ceramics, photography, textiles and more. Fellowship House, free entry, just turn up, 1-2 April
HACKNEY FLEA MARKET: 30 individually chosen stalls rock up at Abney Hall selling vintage clothes and furniture, jewellery, textiles, antique luggage and more. Abney Hall, free, just turn up, 1-2 April, 11am-6pm
CHEESE AND WINE FESTIVAL: Two of the finest goods known to mankind come together for a heavenly weekend of cheese and wine, with 25 traders offering up their wares (full list of traders here). East Village, free entry (charge for some events), just turn up, 1-2 April, noon-6pm & 11am-4pm
SEWING MACHINE MUSEUM: It's no April Fool, London has a whole museum dedicated to sewing machines. Take the opportunity to visit it on its monthly opening and see the exhibits, including a sewing machine which was given to Queen Victoria's eldest daughter as a wedding present. Balham High Road, free (donations welcome), just turn up, 2pm-5pm
WOMEN SOLDIERS TOUR: The newly reopened (see Thursday) National Army Museum gets straight back into the swing of things with a free women soldiers tour. Take a guided wander around the galleries, exploring 100 years of women in the army. National Army Museum, free, book ahead, 2.30pm
Sunday 2 April
CROYDON AIRPORT: Get up close to the world's first air traffic control tower at Croydon Airport's monthly open day. Take a guided tour of the exhibitions and displays, and swot up on the history of the first world war airfield. Croydon Airport, free (donations encouraged), just turn up, 11am-4pm
CRAFT FAIR: Get your fill of all things handmade with homeware, jewellery and artwork, created by artists from south London. There will also be live music from local bands and creative workshops to take part in. Prince of Wales, Brixton, free entry, just turn up,noon-4pm
BOAT RACE: Today's the day of the annual Oxford-Cambridge river duel. If you're keen to see the action, we recommend settling yourself in somewhere along the course. Otherwise, The Crabtree in Fulham is having a bit of a do, as is the Chiswick Pier Trust. The first race begins at 2.45pm, but get there early for a good view.