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Cube & Dice - Intermediate-Advanced Level: core concepts INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level cube & dice problems. Worksheet 21 of 30 focuses on core concepts. Practice aptitude training, reasoning skills, logical ability with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

📝 Worksheet 21 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 21 of 30 (70% complete)

Question 1

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate clockwise → rotate forward Current Orientation3Top1Front2Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: C → F
After applying all rotations, Top=3, Front=1, Right=2
rotation, sequence, orientation

Question 2

In a custom dice, if face 2 is visible, which of the following CANNOT be adjacent to it?
In a custom dice, opposite faces are never adjacent.
Face 2 is opposite to face 5.
Therefore, Face 5 cannot be adjacent to 2.
adjacent, faces, basic

Question 3

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

Question 4

This net folds into a alternate dice. Dice Net623514 If face 1 is on the top, which face is on the bottom?
In a alternate dice, opposite faces are: 1↔4, 2↔3, 5↔6.
Face 1 is opposite to face 4.
When the net is folded, the face opposite to 1 will be on the bottom.
net, folding, spatial

Question 5

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate forward → rotate right Current Orientation4Top2Front1Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → F → R
After applying all rotations, Top=4, Front=2, Right=1
rotation, sequence, orientation

Question 6

This net folds into a alternate dice. Dice Net246315 If face 2 is on the top, which face is on the bottom?
In a alternate dice, opposite faces are: 1↔4, 2↔3, 5↔6.
Face 2 is opposite to face 3.
When the net is folded, the face opposite to 2 will be on the bottom.
net, folding, spatial

Question 7

This net folds into a custom dice. Dice Net54632? What number should replace the '?' mark?
In a custom dice, the opposite pairs are: 1↔3, 2↔5, 4↔6.
Using the adjacency relationships and the visible numbers, the missing face must be 1.
net, completion, missing-face

Question 8

This net folds into a alternate dice. Dice Net146235 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 9

This net folds into a alternate dice. Dice Net231456 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 10

In a custom dice, if face 5 is visible, which of the following CANNOT be adjacent to it?
In a custom dice, opposite faces are never adjacent.
Face 5 is opposite to face 2.
Therefore, Face 2 cannot be adjacent to 5.
adjacent, faces, basic

Question 11

Which dice configuration matches this net? Dice Net352146
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 12

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate right Current Orientation1Top2Front3Right 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=3
rotation, sequence, orientation

Question 13

In a custom dice, opposite faces sum to 7. 4 dice arranged in a 2×2 grid. What is the sum of numbers on all visible faces?
Total sum on 4 dice = 4 × 21 = 84
Hidden faces = 8
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 8 × 3.5 = 28.0
Visible sum = 84 - 28.0 = 56
multiple-dice, summation, visible-faces, advanced

Question 14

In a custom dice, if face 1 is visible, which of the following CANNOT be adjacent to it?
In a custom dice, opposite faces are never adjacent.
Face 1 is opposite to face 3.
Therefore, Face 3 cannot be adjacent to 1.
adjacent, faces, basic

Question 15

This net folds into a custom dice. Dice Net?13256 What number should replace the '?' mark?
In a custom dice, the opposite pairs are: 1↔3, 2↔5, 4↔6.
Using the adjacency relationships and the visible numbers, the missing face must be 4.
net, completion, missing-face

Question 16

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

Question 17

This net folds into a standard dice. Dice Net1?6425 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 3.
net, completion, missing-face

Question 18

In a alternate dice, if face 4 is visible, which of the following CANNOT be adjacent to it?
In a alternate dice, opposite faces are never adjacent.
Face 4 is opposite to face 1.
Therefore, Face 1 cannot be adjacent to 4.
adjacent, faces, basic

Question 19

In a standard dice, if face 1 is visible, which of the following CANNOT be adjacent to it?
In a standard dice, opposite faces are never adjacent.
Face 1 is opposite to face 6.
Therefore, Face 6 cannot be adjacent to 1.
adjacent, faces, basic

Question 20

In a alternate dice, if face 1 is visible, which of the following CANNOT be adjacent to it?
In a alternate dice, opposite faces are never adjacent.
Face 1 is opposite to face 4.
Therefore, Face 4 cannot be adjacent to 1.
adjacent, faces, basic
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