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Cube & Dice - Intermediate-Advanced Level: systematic approach INTERMEDIATE-ADVANCED

Intensive strategic solving 🎯 drill: 20 intermediate-advanced-level cube & dice questions. Worksheet 20 of 30 hones your systematic approach abilities. Practice competitive exams, aptitude training, reasoning skills under timed conditions. Best for advanced developing students seeking advanced concepts with increasing complexity.

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

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 20 of 30 (66% complete)

Question 1

Three faces of a standard dice meet at a vertex: 5, 6, and 4. Which face is opposite to face 5?
In a standard dice, opposite pairs are fixed.
Face 5 is opposite to face 2.
At the vertex where 5, 6, and 4 meet, the opposite face 2 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 2

Three faces of a custom dice meet at a vertex: 5, 4, and 3. 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, 4, and 3 meet, the opposite face 2 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 3

This net folds into a custom dice. Dice Net43612? 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 5.
net, completion, missing-face

Question 4

Which dice configuration matches this net? Dice Net123465
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 5

Three faces of a alternate dice meet at a vertex: 6, 3, and 1. Which face is opposite to face 6?
In a alternate dice, opposite pairs are fixed.
Face 6 is opposite to face 5.
At the vertex where 6, 3, and 1 meet, the opposite face 5 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 6

This net folds into a standard dice. Dice Net513624 If face 2 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 2 is opposite to face 5.
When the net is folded, the face opposite to 2 will be on the bottom.
net, folding, spatial

Question 7

In a alternate dice, if face 2 is visible, which of the following CANNOT be adjacent to it?
In a alternate dice, opposite faces are never adjacent.
Face 2 is opposite to face 3.
Therefore, Face 3 cannot be adjacent to 2.
adjacent, faces, basic

Question 8

In a alternate 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 9

In a standard dice, if face 5 is visible, which of the following CANNOT be adjacent to it?
In a standard 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 10

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

Question 11

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

Question 12

Which dice configuration matches this net? Dice Net652341
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 13

In a alternate dice, opposite faces sum to 7. 2 dice arranged in a horizontal line. 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 14

In a standard dice, opposite faces sum to 7. 5 dice arranged in a horizontal line. What is the sum of numbers on all visible faces?
Total sum on 5 dice = 5 × 21 = 105
Hidden faces = 13
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 13 × 3.5 = 45.5
Visible sum = 105 - 45.5 = 59
multiple-dice, summation, visible-faces, advanced

Question 15

This net folds into a alternate dice. Dice Net245?16 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 3.
net, completion, missing-face

Question 16

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate forward → rotate counterclockwise Current Orientation5Top3Front6Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: F → CC
After applying all rotations, Top=5, Front=3, Right=6
rotation, sequence, orientation

Question 17

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

Question 18

In a standard dice, opposite faces sum to 7. 2 dice arranged in a horizontal line. 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 19

Which dice configuration matches this net? Dice Net324615
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 20

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
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