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## 'All the Digits' printed from http://nrich.maths.org/

This represents the multiplication of a $4$-figure number by
$3$.

The whole calculation uses each of the digits $0 - 9$ once and
once only.

The $4$-figure number contains three consecutive numbers, which
are not in order. The third digit is the sum of two of the
consecutive numbers.

The first, third and fifth figures of the five-digit product are
three consecutive numbers, again not in order. The second and
fourth digits are also consecutive numbers.

Can you replace the stars in the calculation with figures?

A practical version of this
activity is included in one of the Brain Buster Maths Boxes which
contains hands-on challenges developed by members of NRICH and
produced by BEAM. For more details and ordering information, please
scroll down
this page .