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Cube & Dice - Advanced Level: time management ADVANCED

Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level cube & dice problems. Focus on time management while practicing practice tests, exam preparation, competitive exams. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

📝 Worksheet 25 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 25 of 30 (83% complete)

Question 1

Which dice configuration matches this net? Dice Net315624
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 2

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

Question 3

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

Question 4

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

Question 5

This net folds into a custom dice. Dice Net35?612 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 4.
net, completion, missing-face

Question 6

Which dice configuration matches this net? Dice Net261435
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 7

In a standard 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 8

This net folds into a standard dice. Dice Net231564 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 9

Two views of a standard dice are shown: View 1: Top=6, Front=3 View 2: Top=5, Front=6 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 10

Three faces of a alternate dice meet at a vertex: 3, 6, and 4. 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, 6, and 4 meet, the opposite face 2 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 11

In a custom 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 12

This net folds into a standard dice. Dice Net623541 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 13

Which dice configuration matches this net? Dice Net532416
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 14

Three faces of a alternate dice meet at a vertex: 3, 4, 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, 4, and 5 meet, the opposite face 2 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 15

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

Question 16

Two views of a alternate dice are shown: View 1: Top=5, Front=3 View 2: Top=2, Front=5 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 17

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 18

This net folds into a standard dice. Dice Net362?15 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 4.
net, completion, missing-face

Question 19

A alternate 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

Question 20

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
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