Problem 5: Guardian Puzzles

This week the 1729 Maths School was featured in the Guardian’s ‘Can you solve it’ column, a biweekly feature containing fun maths problems.

Here is one of the puzzles:

The Sick Sixth

I have four numbers, a, b, c, and d.

There are six ways to multiply two of these numbers together: ab, cd, ac, bd, ad, bc.

The values of five of these products (not necessarily in this order) are 2, 3, 4, 5 and 6.

What is the value of the missing sixth product?

Solve all the 1729 Guardian problems here

Visit our School

Discover our school and stunning grounds at our next Open Morning on Saturday 26 September 2026 or Midweek Talk and Tour.

Open Morning Midweek Talk and Tour