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Cube & Dice - Intermediate Level: accuracy improvement INTERMEDIATE

Level up your cube & dice skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: accuracy improvement. Learn aptitude training, reasoning skills, logical ability through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.

📝 Worksheet 14 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 14 of 30 (46% complete)

Question 1

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

Question 2

Which dice configuration matches this net? Dice Net351264
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 3

Three faces of a custom dice meet at a vertex: 2, 6, and 3. Which face is opposite to face 2?
In a custom dice, opposite pairs are fixed.
Face 2 is opposite to face 5.
At the vertex where 2, 6, and 3 meet, the opposite face 5 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 4

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

Question 5

In a alternate dice, opposite faces sum to 7. 2 dice stacked vertically. What is the sum of numbers on all visible faces?
Total sum on 2 dice = 2 × 21 = 42
Hidden faces = 4
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 4 × 3.5 = 14.0
Visible sum = 42 - 14.0 = 28
multiple-dice, summation, visible-faces, advanced

Question 6

This net folds into a custom dice. Dice Net25?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 1.
net, completion, missing-face

Question 7

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 8

In a custom 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 9

This net folds into a custom dice. Dice Net52431? 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 6.
net, completion, missing-face

Question 10

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate forward → rotate backward Current Orientation1Top2Front3Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: F → B
After applying all rotations, Top=1, Front=2, Right=3
rotation, sequence, orientation

Question 11

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 12

Which dice configuration matches this net? Dice Net164523
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 13

This net folds into a alternate dice. Dice Net623514 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 14

Three faces of a custom dice meet at a vertex: 2, 4, and 3. Which face is opposite to face 2?
In a custom dice, opposite pairs are fixed.
Face 2 is opposite to face 5.
At the vertex where 2, 4, and 3 meet, the opposite face 5 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 15

This net folds into a alternate dice. Dice Net152634 If face 2 is on the top, which face is on the bottom?
In a alternate dice, opposite faces are: 1↔4, 2↔3, 5↔6.
Face 2 is opposite to face 3.
When the net is folded, the face opposite to 2 will be on the bottom.
net, folding, spatial

Question 16

In a standard dice, opposite faces sum to 7. 4 dice arranged in a horizontal line. What is the sum of numbers on all visible faces?
Total sum on 4 dice = 4 × 21 = 84
Hidden faces = 10
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 10 × 3.5 = 35.0
Visible sum = 84 - 35.0 = 49
multiple-dice, summation, visible-faces, advanced

Question 17

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

Question 18

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 19

This net folds into a standard dice. Dice Net16?453 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 20

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