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Cube & Dice - Intermediate-Advanced Level: pattern recognition INTERMEDIATE-ADVANCED

Ready to master cube & dice? This time-bound test features 20 intermediate-advanced-level challenges. Worksheet 22 of 30 sharpens your pattern recognition skills. Master reasoning questions, logical thinking, problem solving through guided practice. Perfect for advanced developing test preparation.

📝 Worksheet 22 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 22 of 30 (73% complete)

Question 1

This net folds into a standard dice. Dice Net341256 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 2

In a custom dice, opposite faces sum to 7. 4 dice arranged in a horizontal line. What is the sum of numbers on all visible faces?
Total sum on 4 dice = 4 × 21 = 84
Hidden faces = 10
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 10 × 3.5 = 35.0
Visible sum = 84 - 35.0 = 49
multiple-dice, summation, visible-faces, advanced

Question 3

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate backward → rotate counterclockwise Current Orientation2Top3Front1Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: B → CC
After applying all rotations, Top=2, Front=3, Right=1
rotation, sequence, orientation

Question 4

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 5

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

Question 6

Which dice configuration matches this net? Dice Net514362
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 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. 2 dice in a rectangular arrangement. What is the sum of numbers on all visible faces?
Total sum on 2 dice = 2 × 21 = 42
Hidden faces = 8
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 8 × 3.5 = 28.0
Visible sum = 42 - 28.0 = 14
multiple-dice, summation, visible-faces, advanced

Question 9

This net folds into a alternate dice. Dice Net3564?1 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 2.
net, completion, missing-face

Question 10

This net folds into a standard dice. Dice Net?13425 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 6.
net, completion, missing-face

Question 11

Two views of a standard dice are shown: View 1: Top=1, Front=2 View 2: Top=2, Front=4 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 12

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 13

This net folds into a custom dice. Dice Net541236 If face 4 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 4 is opposite to face 6.
When the net is folded, the face opposite to 4 will be on the bottom.
net, folding, spatial

Question 14

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 15

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate forward → rotate counterclockwise Current Orientation5Top6Front3Right 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=6, Right=3
rotation, sequence, orientation

Question 16

This net folds into a standard dice. Dice Net543612 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 17

Three faces of a custom dice meet at a vertex: 5, 4, and 1. 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 1 meet, the opposite face 2 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 18

Which dice configuration matches this net? Dice Net126345
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 19

This net folds into a standard dice. Dice Net153426 If face 3 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 3 is opposite to face 4.
When the net is folded, the face opposite to 3 will be on the bottom.
net, folding, spatial

Question 20

In a standard dice, opposite faces sum to 7. 4 dice arranged in a horizontal line. What is the sum of numbers on all visible faces?
Total sum on 4 dice = 4 × 21 = 84
Hidden faces = 10
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 10 × 3.5 = 35.0
Visible sum = 84 - 35.0 = 49
multiple-dice, summation, visible-faces, advanced
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