Cube & Dice - Beginner Level: tricky variations BEGINNER

Level up your cube & dice skills with this entry level practice. 20 beginner-level problems await in Worksheet 4 of 30. Focus area: tricky variations. Learn practice tests, exam preparation, competitive exams through systematic practice. Designed for entry-level learners seeking foundational concepts and basic patterns.

📝 Worksheet 4 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

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Worksheet 4 of 30 (13% complete)

Question 1

This net folds into a alternate dice. Dice Net364152 If face 6 is on the top, which face is on the bottom?
In a alternate dice, opposite faces are: 1↔4, 2↔3, 5↔6.
Face 6 is opposite to face 5.
When the net is folded, the face opposite to 6 will be on the bottom.

Question 2

This net folds into a standard dice. Dice Net53142? 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 6.

Question 3

This net folds into a custom dice. Dice Net253461 If face 5 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 5 is opposite to face 2.
When the net is folded, the face opposite to 5 will be on the bottom.

Question 4

This net folds into a alternate dice. Dice Net345261 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.

Question 5

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate left → rotate backward → rotate counterclockwise Current Orientation3Top5Front1Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: L → B → CC
After applying all rotations, Top=3, Front=5, Right=1

Question 6

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate clockwise → rotate left → rotate backward → rotate forward Current Orientation1Top2Front6Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: C → L → B → F
After applying all rotations, Top=1, Front=2, Right=6

Question 7

Which dice configuration matches this net? Dice Net154263
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.

Question 8

This net folds into a alternate dice. Dice Net624513 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.

Question 9

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate clockwise Current Orientation1Top2Front6Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → C
After applying all rotations, Top=1, Front=2, Right=6

Question 10

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate forward → rotate clockwise → rotate counterclockwise → rotate right Current Orientation5Top4Front1Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: F → C → CC → R
After applying all rotations, Top=5, Front=4, Right=1

Question 11

In a alternate dice, opposite faces sum to 7. 4 dice arranged in a 2×2 grid. What is the sum of numbers on all visible faces?
Total sum on 4 dice = 4 × 21 = 84
Hidden faces = 8
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 8 × 3.5 = 28.0
Visible sum = 84 - 28.0 = 56

Question 12

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

Question 13

This net folds into a standard dice. Dice Net425316 If face 6 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 6 is opposite to face 1.
When the net is folded, the face opposite to 6 will be on the bottom.

Question 14

In a custom dice, opposite faces sum to 7. 4 dice arranged in a 2×2 grid. What is the sum of numbers on all visible faces?
Total sum on 4 dice = 4 × 21 = 84
Hidden faces = 8
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 8 × 3.5 = 28.0
Visible sum = 84 - 28.0 = 56

Question 15

This net folds into a standard dice. Dice Net426531 If face 1 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 1 is opposite to face 6.
When the net is folded, the face opposite to 1 will be on the bottom.

Question 16

This net folds into a standard dice. Dice Net?31564 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.

Question 17

This net folds into a standard dice. Dice Net34126? 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 5.

Question 18

This net folds into a custom dice. Dice Net163254 If face 5 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 5 is opposite to face 2.
When the net is folded, the face opposite to 5 will be on the bottom.

Question 19

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate clockwise → rotate forward → rotate backward Current Orientation1Top4Front2Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: C → F → B
After applying all rotations, Top=1, Front=4, Right=2

Question 20

Which dice configuration matches this net? Dice Net154326
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.
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