ReasoningAbility.com

Cube & Dice - Advanced Level: tricky variations ADVANCED

Level up your cube & dice skills with this challenging mix. 20 advanced-level problems await in Worksheet 24 of 30. Focus area: tricky variations. Learn problem solving, practice tests, exam preparation through systematic practice. Designed for advanced learners seeking complex scenarios and multi-step problems.

📝 Worksheet 24 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 24 of 30 (80% complete)

Question 1

Which dice configuration matches this net? Dice Net265431
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

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

Question 3

This net folds into a custom dice. Dice Net16?543 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 4

In a standard 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 5

In a standard 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 6

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 7

This net folds into a standard dice. Dice Net341265 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 8

Two views of a alternate dice are shown: View 1: Top=5, Front=1 View 2: Top=4, Front=6 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 9

This net folds into a custom dice. Dice Net254613 If face 3 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 3 is opposite to face 1.
When the net is folded, the face opposite to 3 will be on the bottom.
net, folding, spatial

Question 10

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate backward → rotate counterclockwise Current Orientation2Top6Front1Right 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=6, Right=1
rotation, sequence, orientation

Question 11

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

Question 12

In a custom 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 13

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

Question 14

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 15

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 16

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate right → rotate clockwise → rotate forward Current Orientation6Top1Front2Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → R → C → F
After applying all rotations, Top=6, Front=1, Right=2
rotation, sequence, orientation

Question 17

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

Question 18

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 19

Which dice configuration matches this net? Dice Net564132
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 20

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate clockwise → rotate left → rotate backward Current Orientation6Top3Front5Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → C → L → B
After applying all rotations, Top=6, Front=3, Right=5
rotation, sequence, orientation
Previous Worksheet Next Worksheet