ONE

Head to the South Bank for the best of London’s freebies. Tate Modern (www..tate.org.uk) doesn’t charge entry and, until 7 May, is showing the largest-ever exhibition of works by Gilbert and George. Afterwards, take the Riverside Walk (www..southbanklondon.com) and admire views of the Thames. Listen to free music, such as Jazz, in the foyer of the National Theatre, Mondays to Saturdays at 5.30pm.

TWO

Take a 3½-hour tour of Berlin, covering all the main sites, such as the Brandenburg Gate and the Potsdamer Platz, for free with New Berlin Tours (www.newberlintours.com). The guides work hard for their tips, so standards don’t drop.

THREE

Instead of coughing up for the Eiffel Tower, get one of the most stunning views of Paris for free at the Sacré Coeur, atop Montmartre. Fashion fans should also head to department store Galeries Lafayette (www..galerieslafayette.com) where free fashion shows take place every Friday at 3pm.

FOUR

A trip to Rome’s Vatican Museums (http://mv.vatican.va) can clear your wallet, but not on the last Sunday of the month, when it’s free. Afterwards, throw a coin in the Trevi fountain; it’s said to guarantee a return trip.

FIVE

Oslo can be expensive, so take time out and visit Slottsparken, the grounds of the Royal Palace. The park is surprisingly quiet and a great place to relax. At 1.30pm you can also catch the changing of the guards at the front of the palace. (www.visitoslo.com)

SIX

Madrid’s Prado Museum (www.museoprado.es) is one of the most visited attractions in Spain, housing a huge collection of works from artists such as Goya, El Greco, Boticelli and Rubens. Entrance is free on Sundays.

SEVEN

Art fans will love the Hugh Lane Gallery (www.hughlane.ie) in Dublin, which features works from Irish and international artists, including Degas, Lavery and Jack B Yeats, Ireland’s most famous 20th century artist. It’s free to get in, plus there are free concerts every Sunday at midday.

EIGHT

In Malmö, Sweden, get active for nothing at the recently opened Stapelbäddsparken (www..stapelbaddsparken.se), one of Europe’s biggest outdoor skateboard parks. Nearby, the Turning Torso (www.turningtorso.com) towers over the waterfront and is an architectural must-see.

NINE

A one-stop shop for newcomers to Scotland should be the National Museum of Scotland (www.nms.ac.uk), on Chambers Street in Edinburgh. It tells the story of Scotland’s people and culture, as well as holding special exhibitions, like Pixar: 20 Years of Animation (runs until 28 May).

TEN

The Catedral de Sevilla (above) is the third-largest cathedral in the world, and it’s free to visit on Sundays between 2.30pm and 6pm. The stunning building is one of the most beautiful gothic structures and is Seville’s most visited site. (www.catedralde.sevilla.es)