The Economist does include a one page summary of the week's news near the start, with just one or two sentences for each story. You can use that to decide which you wish to read a whole article about later in the paper. You can even choose not to read any, though admittedly it would be a bit expensive to buy the paper and read only one page of it. (There is also a page about business news, reflecting the publication's title, and it's often worth looking at the first couple of those.)

Also worth looking at unconditionally are the letters page, which is always very good and sometimes has very famous correspondents (occasionally from tyrannical regimes making preposterous statements, with no response from the paper), and the obituary, which has an eclectic selection of very famous and very unknown individuals.