Subscribe now

BrainTwister #67: Pandigital sums

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

By Colin Beveridge

2 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

#67 Pandigital sums

Set by Colin Beveridge

A pandigital sum is an addition that uses each of the digits from 0 to 9 exactly once, and no number within the sum starts with a zero. For example, 4927 + 86 = 5013 can be represented as ABCD + EF = GHIJ, where each letter is a different digit.

There are 36 pandigital sums of the form ABCD + EF = GHIJ. Can you find one where GHIJ = 2034?

There are 96 pandigital sums of the form ABC + DEF = GHIJ. How many can you find where GHIJ = 1089?

There is one pandigital sum of the form ABC…

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