## Adding on dice brainteaser

By David Shaw, 21 January 2021

**Difficulty: Fun**

How well do you know your dice? A standard dice is a cube with six sides. Each side is numbered with a different number from 1–6.

Most six-sided dice also have a special trick in the way they are numbered. If you add the number on the top and the number on the bottom, you’ll get a ‘magic’ total. It doesn’t matter if you roll a 2 or a 6 or any other number, when you add the top number and the number underneath the dice, you’ll get the same total!

Can you work out what that magic total is?

**Scroll down or click for a hint, or the answer!**

## Brainteaser hint

The top and bottom of a cube make a pair of sides. There are three pairs of sides on a cube – top and bottom, front and back, and left and right. You’ll need to make three pairs of numbers to go with the three pairs of sides.

## Brainteaser answer

Imagine if the top side is a 6, the highest possible number. What’s on the bottom? A good guess would be the lowest number, 1. So the magic total is 6 + 1 = 7.

To check if this works with the other sides, arrange the other numbers in pairs that add up to 7 too:

5 + 2 = 7 and 4 + 3 = 7.

We’ve now used every number from 1 to 6 exactly once, and every pair adds to 7!

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