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Cube & Dice - Beginner-Intermediate Level: exam-oriented practice BEGINNER-INTERMEDIATE

Strategic fast track practice for cube & dice: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: exam-oriented practice. Develop expertise in logical thinking, problem solving, practice tests with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.

📝 Worksheet 9 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 9 of 30 (30% complete)

Question 1

Which dice configuration matches this net? Dice Net516234
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 2

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

Question 3

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate backward → rotate right → rotate counterclockwise → rotate clockwise Current Orientation2Top4Front4Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: B → R → CC → C
After applying all rotations, Top=2, Front=4, Right=4
rotation, sequence, orientation

Question 4

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate left → rotate counterclockwise Current Orientation1Top5Front4Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: L → CC
After applying all rotations, Top=1, Front=5, Right=4
rotation, sequence, orientation

Question 5

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

Question 6

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

Question 7

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate right → rotate counterclockwise → rotate backward → rotate clockwise Current Orientation2Top4Front6Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: R → CC → B → C
After applying all rotations, Top=2, Front=4, Right=6
rotation, sequence, orientation

Question 8

In a alternate 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 9

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 10

This net folds into a alternate dice. Dice Net?26134 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 5.
net, completion, missing-face

Question 11

This net folds into a alternate dice. Dice Net15423? 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 12

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 13

Three faces of a alternate dice meet at a vertex: 5, 2, and 1. 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, 2, and 1 meet, the opposite face 6 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 14

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 15

This net folds into a standard dice. Dice Net416?25 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 16

This net folds into a standard dice. Dice Net13546? 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 17

This net folds into a alternate dice. Dice Net512346 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 18

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 19

This net folds into a standard dice. Dice Net312645 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 20

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate right → rotate left Current Orientation1Top2Front3Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: R → L
After applying all rotations, Top=1, Front=2, Right=3
rotation, sequence, orientation
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