Two different positions of the same dice marked with the numbers 4, 5, 6, 7, 8 and 9 are shown. Select the number that will be on the face opposite to the face having the number '9'.
7
Logic: If two dice have the same face value in the given image then their clockwise or anticlockwise wise number are known as opposite numbers in dice.
♦ If we rotate the second dice in a clockwise direction.

We get,

In first dice and second dice.
The number '5' is common.
♦ The left letter will be opposite to each other writing them clockwise starting from 5.
Number | Opposite |
9 | 7 |
8 | 6 |
5 | 4 |
Hence, the face opposite to the 9 is “7”.
A cube of side 80 cm is painted yellow on all the faces and then cut into smaller cubes of sides 8 cm each. Find the number of smaller cube having all the three faces painted.
A cube of side 49 cm is painted purple on all the faces and then cut into smaller cubes of sides 7 cm each. Find the number of smaller cubes having only one face printed.
A cube of side 18 cm is painted yellow on all the faces and then cut into smaller cubes of sides 3 cm each. Find the number of smaller cubes that have only two faces painted.
A cube of side 12 cm is painted green on all the faces and then cut into smaller cubes of sides 2 cm each. Find the number of smaller cubes that have only one face painted.
Four friends J, Q, B and Z rolled the dice in alphabetical order.
The scores were:
1st round: 3, 2, 5, 2
2nd round: 1, 5, 1, 4
3rd round: 4, 2, 1, 1
If each point on the dice would get 10 points, who won the maximum points after 3 rounds?