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Cube & Dice - Beginner Level: quick solving techniques BEGINNER

Exam-focused quick revision round worksheet: 20 beginner-level cube & dice questions. Worksheet 3 of 30 targets quick solving techniques. Build proficiency in problem solving, practice tests, exam preparation with detailed solutions. Ideal for entry-level competitive exam preparation.

📝 Worksheet 3 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 3 of 30 (10% complete)

Question 1

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

This net folds into a standard dice. Dice Net3?1562 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 4.
net, completion, missing-face

Question 3

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 4

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

Question 5

Three faces of a standard dice meet at a vertex: 4, 1, and 2. 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, 1, and 2 meet, the opposite face 3 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 6

In a standard dice, if face 3 is visible, which of the following CANNOT be adjacent to it?
In a standard dice, opposite faces are never adjacent.
Face 3 is opposite to face 4.
Therefore, Face 4 cannot be adjacent to 3.
adjacent, faces, basic

Question 7

This net folds into a standard dice. Dice Net561342 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 8

This net folds into a alternate dice. Dice Net13?256 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 4.
net, completion, missing-face

Question 9

This net folds into a custom dice. Dice Net126354 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 10

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 11

Three faces of a alternate dice meet at a vertex: 5, 1, and 2. 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 2 meet, the opposite face 6 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 12

Three faces of a custom dice meet at a vertex: 2, 6, and 1. Which face is opposite to face 2?
In a custom dice, opposite pairs are fixed.
Face 2 is opposite to face 5.
At the vertex where 2, 6, and 1 meet, the opposite face 5 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 13

In a standard 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 14

This net folds into a standard dice. Dice Net516324 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

Three faces of a alternate dice meet at a vertex: 5, 1, and 2. 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 2 meet, the opposite face 6 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 16

In a alternate 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 17

Two views of a custom dice are shown: View 1: Top=6, Front=2 View 2: Top=2, Front=1 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 18

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate counterclockwise → rotate left → rotate backward → rotate right Current Orientation5Top3Front6Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: CC → L → B → R
After applying all rotations, Top=5, Front=3, Right=6
rotation, sequence, orientation

Question 19

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

Question 20

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