Missing Numbers - Australian Mathematics Competition

Content

Problem - Hidden Faces of Dice (AMC Middle Primary)
- Key Concepts
Check the Answer
Try with Hints
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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?

26
36
41
63

Key Concepts

Dice Problem

Missing Values

Arithmetic

Check the Answer

But try the problem first...

Answer: 41

Source

Try with Hints

First Hint

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 .

Second Hint

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.

Final Hint

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 .

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?