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Cube & Dice - Beginner Level: pattern recognition BEGINNER

Ready to master cube & dice? This concept mastery features 20 beginner-level challenges. Worksheet 2 of 30 sharpens your pattern recognition skills. Master logical thinking, problem solving, practice tests through guided practice. Perfect for entry-level test preparation.

📝 Worksheet 2 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 2 of 30 (6% complete)

Question 1

This net folds into a custom dice. Dice Net12?346 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 2

This net folds into a alternate dice. Dice Net356?24 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 3

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 4

This net folds into a custom dice. Dice Net12?346 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 5

Two views of a alternate dice are shown: View 1: Top=4, Front=2 View 2: Top=6, Front=1 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 6

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate forward → rotate counterclockwise → rotate clockwise Current Orientation3Top1Front3Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: F → CC → C
After applying all rotations, Top=3, Front=1, Right=3
rotation, sequence, orientation

Question 7

Three faces of a standard dice meet at a vertex: 2, 1, and 3. Which face is opposite to face 2?
In a standard dice, opposite pairs are fixed.
Face 2 is opposite to face 5.
At the vertex where 2, 1, and 3 meet, the opposite face 5 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 8

In a standard 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

Which dice configuration matches this net? Dice Net165324
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 10

Three faces of a custom dice meet at a vertex: 3, 6, and 5. 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 5 meet, the opposite face 1 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 11

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

Question 12

This net folds into a alternate dice. Dice Net164523 If face 3 is on the top, which face is on the bottom?
In a alternate dice, opposite faces are: 1↔4, 2↔3, 5↔6.
Face 3 is opposite to face 2.
When the net is folded, the face opposite to 3 will be on the bottom.
net, folding, spatial

Question 13

This net folds into a custom dice. Dice Net16?435 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 2.
net, completion, missing-face

Question 14

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate forward → rotate counterclockwise → rotate clockwise → rotate left Current Orientation3Top3Front4Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: F → CC → C → L
After applying all rotations, Top=3, Front=3, Right=4
rotation, sequence, orientation

Question 15

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 16

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 17

This net folds into a standard dice. Dice Net162?34 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 5.
net, completion, missing-face

Question 18

In a alternate 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 19

This net folds into a custom dice. Dice Net?24356 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 20

In a standard dice, if face 3 is visible, which of the following CANNOT be adjacent to it?
In a standard dice, opposite faces are never adjacent.
Face 3 is opposite to face 4.
Therefore, Face 4 cannot be adjacent to 3.
adjacent, faces, basic
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