Question 1

When a cube is unfolded, one face is marked as 'X'. If the unfolded net shows X on top, and adjacent faces are marked A, B, C, D (in clockwise order around X), which face is opposite to X?

Accepted Answer

This question tests the ability to visualize a cube from its net and identify opposite faces based on net layout.

Question 2

A cube has six faces. Three faces meeting at a corner are colored Red, Blue, and Green. How many faces of the cube are NOT colored?

Accepted Answer

This question tests understanding of cube geometry: specifically, that three faces meeting at a corner are mutually adjacent, and identifying how many faces remain uncolored.

Question 3

A cube has faces numbered 1 to 6. Face 1 is opposite to face 6, face 2 is opposite to face 5, and face 3 is opposite to face 4. If face 1 is on top and face 2 is facing you, which face is on the bottom?

Accepted Answer

This question tests understanding of opposite faces on a cube and spatial visualization.

Question 4

A cube is unfolded into a net. The net shows six squares arranged in a cross pattern: one square in the center, one above it, one below it, one to the left, one to the right, and one more to the right of the right square. When this net is folded into a cube, which two faces will be opposite to each other?

Accepted Answer

This question tests the ability to visualize a 3D cube from a 2D net and identify opposite faces.

Question 5

A die is rolled and shows face value 5 on top. The face touching the ground shows 2. Which face is facing towards you?

Accepted Answer

This question tests the standard die property (opposite faces sum to 7) and the ability to deduce a third face's position given two known faces.

Question 6

A cube has faces numbered 1 to 6. When face 1 is on top and face 2 is facing you, face 3 is on your right. Which face is at the bottom?

Accepted Answer

This question tests the ability to deduce opposite faces on a cube using spatial reasoning. Given three adjacent faces and their positions, the student must determine the face on the opposite side (bottom).

Question 7

A die shows 1, 2, and 3 on three faces meeting at one corner. What is the sum of the numbers on the three faces opposite to these?

Accepted Answer

This question tests knowledge of opposite faces on a standard die and the ability to calculate the sum of opposite faces.

Question 8

A standard die shows opposite faces summing to 7. If a die is positioned with face 4 on top and face 1 facing north, which face is facing west?

Accepted Answer

This question tests knowledge of standard die properties and spatial orientation on a cube.

Question 9

A cube has six faces painted with colors: Red, Blue, Green, Yellow, Orange, and White. Red is opposite to Blue. Green is opposite to Yellow. If the cube is oriented with Red facing north and White on top, which color faces west?

Accepted Answer

This question tests logical deduction using opposite-face constraints and directional orientation. Students must use the given constraints to eliminate possibilities and determine the remaining face orientation.

Question 10

A standard die shows opposite faces summing to 7. If a die is placed with 2 on top and 3 facing north, which number faces south?

Accepted Answer

This question tests knowledge of standard die properties (opposite faces sum to 7) combined with directional orientation. Students must identify the opposite of the north-facing face using the constraint.

Question 11

A cube has faces numbered 1 to 6. When face 1 is on top and face 2 is facing you, face 3 is on your right. If the cube is now rotated such that face 3 is on top and face 1 is facing you, which face is on your right?

Accepted Answer

This question tests the ability to track opposite faces and spatial orientation through cube rotations.

Question 12

A dice is thrown and lands showing a certain face. The sum of the numbers on the top and bottom faces is 7. If the front face shows 2, and the left face shows 3, what is the sum of the numbers on the back and right faces?

Accepted Answer

This question tests understanding of standard die properties and the ability to deduce all six faces from partial information.

Question 13

Two dice are placed side by side. The left die shows 4 on top and 1 facing you. The right die shows 3 on top and 2 facing you. Both dice are standard (opposite faces sum to 7). What is the sum of the numbers on the right faces of both dice combined?

Accepted Answer

This question combines standard die knowledge with multi-object spatial reasoning. Students must determine the right-facing sides of two separate dice using the opposite-sum constraint.

Question 14

A cube has six faces. On one face is a single dot, on the opposite face are six dots. On another face are two dots, and on its opposite face are five dots. The remaining two opposite faces have three and four dots respectively. When the cube is rolled such that the face with one dot is on top and the face with two dots faces you, which face is on the bottom?

Accepted Answer

This question tests the ability to mentally track opposite faces on a cube and deduce hidden faces based on given constraints.

Question 15

A standard die is placed on a table. You observe that faces showing 2, 3, and 5 are visible from your current angle. Based on standard die configuration (opposite faces sum to 7), which of the following statements is definitely true?

Accepted Answer

This question tests knowledge of standard die properties and the ability to deduce hidden faces from visible ones.

Question 16

A cube is painted on all six faces with different colors. The cube is then cut into 27 smaller cubes of equal size (3×3×3 arrangement). How many of the smaller cubes have exactly two painted faces?

Accepted Answer

This question tests spatial reasoning and the ability to categorize smaller cubes based on their position in the larger cube after cutting.

Question 17

A cube has faces labeled A, B, C, D, E, and F. It is known that: A is opposite to B, C is opposite to D, and E is opposite to F. The cube is placed such that A faces north and C faces east. If the cube is then rotated 90° clockwise around the vertical axis (when viewed from above), which face now faces north?

Accepted Answer

This question tests the ability to track face positions through 3D rotations and maintain awareness of opposite-face relationships.

Question 18

A cube has six faces. On one face, the number 1 is written; on the opposite face, 6 is written. On another face, 2 is written; on its opposite face, 5 is written. The remaining two opposite faces have 3 and 4. When the cube is placed such that face 1 is on top and face 2 faces you, which face is on the bottom?

Accepted Answer

This question tests the ability to mentally reconstruct a cube's configuration from given opposite-face constraints and determine hidden faces based on orientation.

Question 19

An unfolded cube net shows faces labeled A, B, C, D, E, F arranged in a cross pattern: B-A-C in the middle row, with D above A, E below A, and F to the right of C. When folded, if face A is the bottom, which face is the top?

Accepted Answer

This question requires spatial visualization of a cube net—converting a 2D unfolded pattern into a 3D cube and identifying opposite faces.

Question 20

A cube has faces labeled 1 through 6. When face 1 is facing north and face 2 is facing up, face 3 faces east. If the cube is rotated 90° clockwise (when viewed from above), which face now faces north?

Accepted Answer

This question tests 3D spatial rotation: tracking how faces change position after a specific rotation while maintaining the cube's internal configuration.

SSC CHSL Cube & Dice

Cube & Dice— Rules & Concept

Key Points to Remember

Exam-Specific Tips

Cube & Dice — Practice Questions

60-Second Revision — Cube & Dice