AMC 10 USA Math Olympiad

Missing Numbers – Australian Mathematics Competition

The simplest example of power mean inequality is the arithmetic mean – geometric mean inequality. Learn in this self-learning module for math olympiad

Problem – Hidden Faces of Dice (AMC Middle Primary)

Let’s solve a problem based on missing numbers from the hidden faces of dice.

Three standard dice are sitting next to each other as shown in the diagram. There are 7 faces visible. How many dots are hidden on the other 11 sides?

Missing numbers - dice
  • 26
  • 36
  • 41
  • 63

Key Concepts

Dice Problem

Missing Values


Check the Answer

Answer: 41

Australian Mathematics Competition – Middle Primary Division

Basic Arithmetic by Robert Moon

Try with Hints

This one is very easy but if you really need any hints at first take a dice and try to understand the number of dots in each sides .

So for first dice : we can see 4,5 and 1. So the no of dots which are not seen 6,2 and 3

For Second Dice : The visible dots are 2 and 6 . So the dots in sides which are not visible are 4,3,1 and 5.

For Third Dice : The Visible dots are 3 and 1 .So the dots which are not visible 2,4,5 and 6.

I think you have already got the answer but if you really need this last step :

Now add all the number of dots from the invisible sides:

2+4+5+6+4+3+1+5+6+2+3 = 41 .

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