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Cube & Dice - Advanced Level: step-by-step approach ADVANCED

Quick competitive exam prep session: 20 advanced-level cube & dice questions. Worksheet 27 of 30 - Focus: step-by-step approach. Practice competitive exams, aptitude training, reasoning skills with instant feedback. Great for advanced students needing complex scenarios and multi-step problems practice.

📝 Worksheet 27 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 27 of 30 (90% complete)

Question 1

Which dice configuration matches this net? Dice Net632154
This net forms a standard dice. When folded, opposite faces are: 1↔6, 2↔5, 3↔4. In the net, opposite faces are never adjacent.
net, unfolding, spatial, basic

Question 2

Three faces of a standard dice meet at a vertex: 3, 1, and 2. Which face is opposite to face 3?
In a standard dice, opposite pairs are fixed.
Face 3 is opposite to face 4.
At the vertex where 3, 1, and 2 meet, the opposite face 4 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 3

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate right → rotate backward → rotate clockwise → rotate counterclockwise Current Orientation4Top6Front2Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: R → B → C → CC
After applying all rotations, Top=4, Front=6, Right=2
rotation, sequence, orientation

Question 4

Which dice configuration matches this net? Dice Net146325
This net forms a custom dice. When folded, opposite faces are: 1↔3, 2↔5, 4↔6. In the net, opposite faces are never adjacent.
net, unfolding, spatial, basic

Question 5

Which dice configuration matches this net? Dice Net163254
This net forms a custom dice. When folded, opposite faces are: 1↔3, 2↔5, 4↔6. In the net, opposite faces are never adjacent.
net, unfolding, spatial, basic

Question 6

In a custom dice, if face 6 is visible, which of the following CANNOT be adjacent to it?
In a custom dice, opposite faces are never adjacent.
Face 6 is opposite to face 4.
Therefore, Face 4 cannot be adjacent to 6.
adjacent, faces, basic

Question 7

Which dice configuration matches this net? Dice Net534261
This net forms a alternate dice. When folded, opposite faces are: 1↔4, 2↔3, 5↔6. In the net, opposite faces are never adjacent.
net, unfolding, spatial, basic

Question 8

Which dice configuration matches this net? Dice Net526431
This net forms a standard dice. When folded, opposite faces are: 1↔6, 2↔5, 3↔4. In the net, opposite faces are never adjacent.
net, unfolding, spatial, basic

Question 9

This net folds into a alternate dice. Dice Net?31462 What number should replace the '?' mark?
In a alternate dice, the opposite pairs are: 1↔4, 2↔3, 5↔6.
Using the adjacency relationships and the visible numbers, the missing face must be 5.
net, completion, missing-face

Question 10

This net folds into a alternate dice. Dice Net62?543 What number should replace the '?' mark?
In a alternate dice, the opposite pairs are: 1↔4, 2↔3, 5↔6.
Using the adjacency relationships and the visible numbers, the missing face must be 1.
net, completion, missing-face

Question 11

This net folds into a custom dice. Dice Net123546 If face 3 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 3 is opposite to face 1.
When the net is folded, the face opposite to 3 will be on the bottom.
net, folding, spatial

Question 12

This net folds into a standard dice. Dice Net1345?6 What number should replace the '?' mark?
In a standard dice, the opposite pairs are: 1↔6, 2↔5, 3↔4.
Using the adjacency relationships and the visible numbers, the missing face must be 2.
net, completion, missing-face

Question 13

Two views of a standard dice are shown: View 1: Top=6, Front=2 View 2: Top=4, Front=1 Which face is opposite to face 6?
In a standard dice, opposite pairs are: 1↔6, 2↔5, 3↔4.
Face 6 is opposite to face 1.
opposite, multiple-views, deduction

Question 14

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate right Current Orientation1Top2Front6Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → R
After applying all rotations, Top=1, Front=2, Right=6
rotation, sequence, orientation

Question 15

Three faces of a custom dice meet at a vertex: 3, 6, and 2. Which face is opposite to face 3?
In a custom dice, opposite pairs are fixed.
Face 3 is opposite to face 1.
At the vertex where 3, 6, and 2 meet, the opposite face 1 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 16

In a standard dice, opposite faces sum to 7. 3 dice in a rectangular arrangement. What is the sum of numbers on all visible faces?
Total sum on 3 dice = 3 × 21 = 63
Hidden faces = 10
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 10 × 3.5 = 35.0
Visible sum = 63 - 35.0 = 28
multiple-dice, summation, visible-faces, advanced

Question 17

In a alternate dice, opposite faces sum to 7. 2 dice stacked vertically. What is the sum of numbers on all visible faces?
Total sum on 2 dice = 2 × 21 = 42
Hidden faces = 4
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 4 × 3.5 = 14.0
Visible sum = 42 - 14.0 = 28
multiple-dice, summation, visible-faces, advanced

Question 18

This net folds into a alternate dice. Dice Net465123 If face 4 is on the top, which face is on the bottom?
In a alternate dice, opposite faces are: 1↔4, 2↔3, 5↔6.
Face 4 is opposite to face 1.
When the net is folded, the face opposite to 4 will be on the bottom.
net, folding, spatial

Question 19

Three faces of a custom dice meet at a vertex: 5, 3, and 4. Which face is opposite to face 5?
In a custom dice, opposite pairs are fixed.
Face 5 is opposite to face 2.
At the vertex where 5, 3, and 4 meet, the opposite face 2 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 20

In a custom dice, opposite faces sum to 7. 2 dice stacked vertically. What is the sum of numbers on all visible faces?
Total sum on 2 dice = 2 × 21 = 42
Hidden faces = 4
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 4 × 3.5 = 14.0
Visible sum = 42 - 14.0 = 28
multiple-dice, summation, visible-faces, advanced
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