Subscribe now

BrainTwister #69: Backward drops

Can you solve this week’s logic puzzle? Plus our quick quiz and the answer to last week’s problem

By Katie Steckles and Peter Rowlett

16 April 2025

New Scientist. Science news and long reads from expert journalists, covering developments in science, technology, health and the environment on the website and the magazine.

Shutterstock/ktsdesign

#69 Backward drops

Set by Katie Steckles and Peter Rowlett

Imagine a number sequence, created from the normal sequence of whole numbers, where each term is that number written backwards, e.g. the 12th term is 21 (and any leading zeroes are ignored). This goes 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 11, 21, 31, 41, and so on. Each of these numbers is bigger than the last, except that after 9 we get a drop to the next number, which is 1.

When is the next drop?

What is the largest drop in the first 100…

Sign up to our weekly newsletter

Receive a weekly dose of discovery in your inbox! We'll also keep you up to date with New Scientist events and special offers.

Sign up

To continue reading, subscribe today with our introductory offers

Piano Exit Overlay Banner Mobile Piano Exit Overlay Banner Desktop