I should have emerged from the Design Museum sizzling with furious determination to help solve the world’s rubbish crisis. Trashing the planet is, after all, the most important issue of our time and Waste Age details the enormity of the problem.

Jacqueline de Jong doesn’t want to talk politics. But this should have been foreseeable. After all, she has travelled to Mostyn, in Llandudno, for her first solo exhibition in a UK art institution. And this is a painting show, not a political rally.

Sebastião Salgado has carved out his career by documenting the unimaginable. He takes areas of life all too often ignored by wealthy westerners and reveals them in mesmerising, teeming detail.

Its more than 50 years since Yoko Ono first presented Mend Piece at the Indica Gallery, London in the exhibition through which she met John Lennon. The piece is currently being revisited at the Whitechapel Gallery and, in the intervening years, its meaning has subtly shifted. Strewn over four tables are dozens of broken cups and saucers along with everything you need to attempt a botched repair – glue, sellotape, scissors and string.

Last year a stoneware jar by David Drake sold at auction for $1.3 million. It fetched this extraordinary price because of its history: Drake was a slave on a plantation in South Carolina who not only made fabulous pots, but dared sign and date them at a time when it was illegal for slaves to read and write. Needless to say, his descendants haven’t received a penny in royalties from sales of his work.

Isamu Noguchi may not be a household name, yet one strand of his work is incredibly familiar. In 1951 he visited a lamp factory in Gifu, a Japanese city famous for its paper lanterns. This prompted him to design the lampshades that, for decades, have adorned nearly every student’s bedsit.

In 2015, an abstract painting by Gerhard Richter broke the world record for contemporary art by selling at auction for £30.4m, and the octogenarian is often described as the most important living artist. But I’ve always found the prices fetched by his work baffling and the claims made about him exaggerated, since his paintings leave me cold.

The 31 artists in Mixing it Up all live in this country, but a third of them were born elsewhere – in countries including Belgium, China, Columbia, Germany, Iraq, Zambia and Zimbabwe – and they’ve brought with them immeasurable cultural riches. The exhibition is like a snapshot of pre-Brexit Britain, a reflection of the days before we changed from being a relatively friendly, open society into a grumpy, insular backwater.

When you stand in front of Helen Frankenthaler’s Freefall, 1993, in your mind you drop into its gorgeous, blue abyss. It is enveloping, vertiginous, endless and yet there’s none of the terror of falling into a void, only intense, velvety comfort as the bluest blue melts into emerald green.

It’s been described as “the most improbable story that has ever happened in the art market”, and The Lost Leonardo reveals every twist and turn of this extraordinary tale. In New Orleans in 2005, a badly-damaged painting (pictured below left) sold at auction for $1,175.