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Cube & Dice - Intermediate Level: data interpretation INTERMEDIATE

Quick mental agility ★ session: 20 intermediate-level cube & dice questions. Worksheet 17 of 30 - Focus: data interpretation. Practice problem solving, practice tests, exam preparation with instant feedback. Great for mid-level students needing moderate complexity with mixed patterns practice.

📝 Worksheet 17 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 17 of 30 (56% complete)

Question 1

This net folds into a standard dice. Dice Net631254 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 2

Which dice configuration matches this net? Dice Net154362
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 3

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

Question 4

Three faces of a custom dice meet at a vertex: 1, 4, 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, 4, and 5 meet, the opposite face 3 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 5

This net folds into a alternate dice. Dice Net614235 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.
net, folding, spatial

Question 6

In a alternate dice, if face 3 is visible, which of the following CANNOT be adjacent to it?
In a alternate dice, opposite faces are never adjacent.
Face 3 is opposite to face 2.
Therefore, Face 2 cannot be adjacent to 3.
adjacent, faces, basic

Question 7

Three faces of a custom dice meet at a vertex: 6, 3, and 5. 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, 3, and 5 meet, the opposite face 4 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 8

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

Question 9

This net folds into a alternate dice. Dice Net26345? 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 1.
net, completion, missing-face

Question 10

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate left → rotate clockwise → rotate forward → rotate right Current Orientation3Top4Front1Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: L → C → F → R
After applying all rotations, Top=3, Front=4, Right=1
rotation, sequence, orientation

Question 11

This net folds into a alternate dice. Dice Net621435 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.
net, folding, spatial

Question 12

Which dice configuration matches this net? Dice Net412653
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 13

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

Question 14

This net folds into a standard dice. Dice Net163452 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 15

Which dice configuration matches this net? Dice Net354261
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 16

In a standard dice, opposite faces sum to 7. 5 dice stacked vertically. What is the sum of numbers on all visible faces?
Total sum on 5 dice = 5 × 21 = 105
Hidden faces = 10
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 10 × 3.5 = 35.0
Visible sum = 105 - 35.0 = 70
multiple-dice, summation, visible-faces, advanced

Question 17

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

Question 18

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate clockwise → rotate left → rotate forward Current Orientation4Top1Front5Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → C → L → F
After applying all rotations, Top=4, Front=1, Right=5
rotation, sequence, orientation

Question 19

This net folds into a custom dice. Dice Net134265 If face 1 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 1 is opposite to face 3.
When the net is folded, the face opposite to 1 will be on the bottom.
net, folding, spatial

Question 20

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
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