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Cube & Dice - Expert Level: exam-oriented practice EXPERT

Strategic basic drills ★ for cube & dice: 20 expert-level problems. Worksheet 29 of 30 - Focus: exam-oriented practice. Develop expertise in reasoning questions, logical thinking, problem solving with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 29 of 30 (96% complete)

Question 1

Which dice configuration matches this net? Dice Net435216
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

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 3

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 4

Three faces of a custom dice meet at a vertex: 1, 2, and 6. 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, 2, and 6 meet, the opposite face 3 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 5

Three faces of a custom dice meet at a vertex: 6, 2, and 1. Which face is opposite to face 6?
In a custom dice, opposite pairs are fixed.
Face 6 is opposite to face 4.
At the vertex where 6, 2, and 1 meet, the opposite face 4 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 6

This net folds into a standard dice. Dice Net2364?1 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.
net, completion, missing-face

Question 7

This net folds into a alternate dice. Dice Net3?1654 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 2.
net, completion, missing-face

Question 8

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

Question 9

In a standard 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 10

This net folds into a alternate dice. Dice Net1542?3 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 6.
net, completion, missing-face

Question 11

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 12

Three faces of a standard dice meet at a vertex: 2, 6, and 3. Which face is opposite to face 2?
In a standard 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 13

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 14

Which dice configuration matches this net? Dice Net612543
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 15

Two views of a standard dice are shown: View 1: Top=6, Front=4 View 2: Top=4, Front=5 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 16

Which dice configuration matches this net? Dice Net642135
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 17

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 18

In a custom 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 19

In a alternate 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 20

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