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Cube & Dice - Beginner Level: core concepts BEGINNER

This foundation builder 🌟 worksheet contains 20 beginner-level cube & dice problems. Worksheet 1 of 30 focuses on core concepts. Practice reasoning questions, logical thinking, problem solving with our step-by-step solutions. Difficulty: foundational concepts and basic patterns. Recommended for entry-level learners.

📝 Worksheet 1 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 1 of 30 (3% complete)

Question 1

This net folds into a alternate dice. Dice Net514?23 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 6.
net, completion, missing-face

Question 2

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 3

Three faces of a standard dice meet at a vertex: 5, 3, and 6. 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, 3, and 6 meet, the opposite face 2 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 4

Which dice configuration matches this net? Dice Net143625
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

This net folds into a standard dice. Dice Net5?6431 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 6

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

Question 7

This net folds into a alternate dice. Dice Net62?145 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 8

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 9

This net folds into a custom dice. Dice Net265143 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 10

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

Question 11

This net folds into a standard dice. Dice Net2?5136 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 4.
net, completion, missing-face

Question 12

This net folds into a standard dice. Dice Net3125?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 4.
net, completion, missing-face

Question 13

This net folds into a alternate dice. Dice Net624513 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 14

This net folds into a custom dice. Dice Net236541 If face 2 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
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 15

This net folds into a alternate dice. Dice Net462351 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 16

Three faces of a standard dice meet at a vertex: 3, 6, and 5. 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, 6, and 5 meet, the opposite face 4 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 17

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

Question 18

This net folds into a standard dice. Dice Net163425 If face 5 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 5 is opposite to face 2.
When the net is folded, the face opposite to 5 will be on the bottom.
net, folding, spatial

Question 19

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate right → rotate left Current Orientation1Top3Front5Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → R → L
After applying all rotations, Top=1, Front=3, Right=5
rotation, sequence, orientation

Question 20

Three faces of a alternate dice meet at a vertex: 4, 2, and 6. Which face is opposite to face 4?
In a alternate dice, opposite pairs are fixed.
Face 4 is opposite to face 1.
At the vertex where 4, 2, and 6 meet, the opposite face 1 is not visible.
vertex, opposite, 3d-reasoning, advanced
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