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Cube & Dice - Intermediate Level: complex scenario handling INTERMEDIATE

Boost your speed and accuracy with this adaptive style 📈 worksheet. Worksheet 15 of 30 presents 20 intermediate-level cube & dice problems. Focus on complex scenario handling while practicing reasoning questions, logical thinking, problem solving. Difficulty: moderate complexity with mixed patterns. Perfect for mid-level test takers.

📝 Worksheet 15 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 15 of 30 (50% complete)

Question 1

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
multiple-dice, summation, visible-faces, advanced

Question 2

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 3

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

Question 4

In a standard 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
multiple-dice, summation, visible-faces, advanced

Question 5

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

Question 6

This net folds into a custom dice. Dice Net6?2541 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 3.
net, completion, missing-face

Question 7

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

Question 8

In a alternate dice, if face 1 is visible, which of the following CANNOT be adjacent to it?
In a alternate dice, opposite faces are never adjacent.
Face 1 is opposite to face 4.
Therefore, Face 4 cannot be adjacent to 1.
adjacent, faces, basic

Question 9

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate backward → rotate left → rotate clockwise Current Orientation2Top4Front3Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: B → L → C
After applying all rotations, Top=2, Front=4, Right=3
rotation, sequence, orientation

Question 10

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
multiple-dice, summation, visible-faces, advanced

Question 11

Which dice configuration matches this net? Dice Net512364
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 12

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

Question 13

In a custom dice, opposite faces sum to 7. 2 dice arranged in a horizontal line. 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 14

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

Question 15

In a alternate 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
multiple-dice, summation, visible-faces, advanced

Question 16

Two views of a standard dice are shown: View 1: Top=6, Front=3 View 2: Top=1, 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 17

Which dice configuration matches this net? Dice Net152346
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 18

This net folds into a custom dice. Dice Net134625 If face 6 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 6 is opposite to face 4.
When the net is folded, the face opposite to 6 will be on the bottom.
net, folding, spatial

Question 19

This net folds into a alternate dice. Dice Net?54263 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 20

This net folds into a alternate dice. Dice Net641532 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
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