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Cube & Dice - Beginner-Intermediate Level: step-by-step approach BEGINNER-INTERMEDIATE

Quick intensive drill ★ session: 20 beginner-intermediate-level cube & dice questions. Worksheet 7 of 30 - Focus: step-by-step approach. Practice aptitude training, reasoning skills, logical ability with instant feedback. Great for developing students needing building on fundamentals with moderate challenges practice.

📝 Worksheet 7 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 7 of 30 (23% complete)

Question 1

Which dice configuration matches this net? Dice Net416325
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 2

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

Question 3

This net folds into a standard dice. Dice Net24?635 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 1.
net, completion, missing-face

Question 4

This net folds into a standard dice. Dice Net24163? 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 5

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

Question 6

Two views of a custom dice are shown: View 1: Top=2, Front=3 View 2: Top=1, Front=2 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 7

Which dice configuration matches this net? Dice Net613254
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 8

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 9

In a custom dice, if face 5 is visible, which of the following CANNOT be adjacent to it?
In a custom 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 10

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

Question 11

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 12

This net folds into a custom dice. Dice Net153426 If face 4 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 4 is opposite to face 6.
When the net is folded, the face opposite to 4 will be on the bottom.
net, folding, spatial

Question 13

In a custom dice, opposite faces sum to 7. 4 dice stacked vertically. 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 14

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

Question 15

This net folds into a alternate dice. Dice Net5?6214 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 3.
net, completion, missing-face

Question 16

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

Question 17

This net folds into a alternate dice. Dice Net651?24 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 3.
net, completion, missing-face

Question 18

In a custom dice, if face 4 is visible, which of the following CANNOT be adjacent to it?
In a custom dice, opposite faces are never adjacent.
Face 4 is opposite to face 6.
Therefore, Face 6 cannot be adjacent to 4.
adjacent, faces, basic

Question 19

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

Question 20

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate right → rotate backward → rotate left → rotate clockwise Current Orientation4Top4Front2Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: R → B → L → C
After applying all rotations, Top=4, Front=4, Right=2
rotation, sequence, orientation
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