ReasoningAbility.com

Cube & Dice - Beginner Level: common mistakes to avoid BEGINNER

Master cube & dice concepts through this speed drill practice set. Worksheet 6 of 30 contains 20 beginner-level problems. Deep dive into common mistakes to avoid while learning competitive exams, aptitude training, reasoning skills. Recommended for entry-level learners aiming for foundational concepts and basic patterns.

📝 Worksheet 6 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 6 of 30 (20% complete)

Question 1

In a custom dice, opposite faces sum to 7. 2 dice in a rectangular arrangement. What is the sum of numbers on all visible faces?
Total sum on 2 dice = 2 × 21 = 42
Hidden faces = 8
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 8 × 3.5 = 28.0
Visible sum = 42 - 28.0 = 14
multiple-dice, summation, visible-faces, advanced

Question 2

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

Question 3

This net folds into a custom dice. Dice Net214356 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 4

Which dice configuration matches this net? Dice Net351426
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 5

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

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

Question 7

In a standard 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 8

This net folds into a alternate dice. Dice Net?21435 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 9

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

Question 10

This net folds into a custom dice. Dice Net?46235 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 1.
net, completion, missing-face

Question 11

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 12

In a standard 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 13

In a custom dice, if face 1 is visible, which of the following CANNOT be adjacent to it?
In a custom dice, opposite faces are never adjacent.
Face 1 is opposite to face 3.
Therefore, Face 3 cannot be adjacent to 1.
adjacent, faces, basic

Question 14

Two views of a alternate dice are shown: View 1: Top=1, Front=2 View 2: Top=3, Front=4 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 15

This net folds into a standard dice. Dice Net134?25 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 6.
net, completion, missing-face

Question 16

Which dice configuration matches this net? Dice Net465231
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 17

Two views of a standard dice are shown: View 1: Top=6, Front=3 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 18

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate clockwise → rotate left Current Orientation1Top2Front3Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: C → L
After applying all rotations, Top=1, Front=2, Right=3
rotation, sequence, orientation

Question 19

Two views of a alternate dice are shown: View 1: Top=5, Front=3 View 2: Top=4, Front=2 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 20

Three faces of a alternate dice meet at a vertex: 6, 2, and 4. 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, 2, and 4 meet, the opposite face 5 is not visible.
vertex, opposite, 3d-reasoning, advanced
Previous Worksheet Next Worksheet