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Cube & Dice - Expert Level: logical deduction EXPERT

Intensive progress check 🎯 drill: 20 expert-level cube & dice questions. Worksheet 30 of 30 hones your logical deduction abilities. Practice logical thinking, problem solving, practice tests under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

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

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 30 of 30 (100% complete)

Question 1

In a custom dice, opposite faces sum to 7. 3 dice stacked vertically. What is the sum of numbers on all visible faces?
Total sum on 3 dice = 3 × 21 = 63
Hidden faces = 6
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 6 × 3.5 = 21.0
Visible sum = 63 - 21.0 = 42
multiple-dice, summation, visible-faces, advanced

Question 2

Two views of a alternate dice are shown: View 1: Top=5, Front=1 View 2: Top=1, Front=2 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 3

This net folds into a alternate dice. Dice Net1526?4 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 4

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate left → rotate forward → rotate clockwise → rotate right Current Orientation4Top3Front2Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: L → F → C → R
After applying all rotations, Top=4, Front=3, Right=2
rotation, sequence, orientation

Question 5

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate left → rotate forward → rotate clockwise Current Orientation4Top2Front1Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: L → F → C
After applying all rotations, Top=4, Front=2, Right=1
rotation, sequence, orientation

Question 6

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate forward → rotate left → rotate counterclockwise → rotate right Current Orientation5Top6Front3Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: F → L → CC → R
After applying all rotations, Top=5, Front=6, Right=3
rotation, sequence, orientation

Question 7

In a alternate dice, if face 5 is visible, which of the following CANNOT be adjacent to it?
In a alternate dice, opposite faces are never adjacent.
Face 5 is opposite to face 6.
Therefore, Face 6 cannot be adjacent to 5.
adjacent, faces, basic

Question 8

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 9

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 10

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

Question 11

Three faces of a custom dice meet at a vertex: 4, 1, and 5. Which face is opposite to face 4?
In a custom dice, opposite pairs are fixed.
Face 4 is opposite to face 6.
At the vertex where 4, 1, and 5 meet, the opposite face 6 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 12

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

Question 13

In a alternate dice, opposite faces sum to 7. 3 dice arranged in a horizontal line. What is the sum of numbers on all visible faces?
Total sum on 3 dice = 3 × 21 = 63
Hidden faces = 7
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 7 × 3.5 = 24.5
Visible sum = 63 - 24.5 = 38
multiple-dice, summation, visible-faces, advanced

Question 14

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 15

This net folds into a custom dice. Dice Net4563?1 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 16

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

Question 17

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

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 Net254163 If face 4 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 4 is opposite to face 3.
When the net is folded, the face opposite to 4 will be on the bottom.
net, folding, spatial

Question 20

Which dice configuration matches this net? Dice Net215364
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
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