Dice - Dice Problems


Dice - Concepts
Class - 9th IMO Subjects
 
 
Concept Explanation
 

Dice - Dice Problems

DICE - Dice Problems : Dice is a cube. In cube there are 6 faces. Some important points are given below:

1. There are 6 faces in the cube - ABCG, GCDE, DEFH, BCDH, AGEF and ABHF.

2. Always four faces are adjacent to one face.

3. Opposite of ABCG is DEFH and so on.

4. CDEG is the upper face of the cube.

5. ABHF is the bottom of the cube.

There are certain rules with the help of these rules question on dice can easily determined.

Rule 1 :  Two opposite faces cannot be adjacent to one another.

Rule 2 :  If two different positions of a dice are shown and one of the two common faces is in the same position then of the remaining faces will be opposite to each other.

Rule 3 : If in two different positions of dice, the position of a common face be the same, then each of the opposite faces of the remaining faces will be in the same position.

Rule 4 : If in two different positions of a dice, the position of the common face be not the same, then opposite face of the common face will be that which is not shown on any face in these two positions. Besides, the opposite faces of the remaining faces will not be the same.

Let us try some examples.

Example : Which symbol will be on the face opposite to the face with symbol * ?

A. @

B. $

C. 8

D. +

Answer : C

Explanation : The symbols of the adjacent faces to the face with symbol * are @, -, + and $. Hence the required symbol is 8.

Example : Two positions of dice are shown below. How many points will appear on the opposite to the face containing 5 points?

A. 3

B. 5

C. 6

D. 2/3

Answer : A

Explanation :

Here the common faces with number 3, are in same positions. Hence 6 is opposite to 2 and 5 is opposite to 1. Therefore 4 is opposite to 3.

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Three positions of a dice are given . Based on them , find out which number is found opposite the number 2 in the given cube .

    

Right Option : A
View Explanation
Explanation
Question : 2

Four positions of a dice are given below. Identify the number at the bottom when the number on the top is 2.

Right Option : D
View Explanation
Explanation
Question : 3

Which number is on the face opposite 4, if the four different positions of a dice are as shown in the figures given below .

 

Right Option : D
View Explanation
Explanation
 
 
 


Students / Parents Reviews [10]