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Cube & Dice - Intermediate Level: speed building INTERMEDIATE

Exam-focused quick response training ★ worksheet: 20 intermediate-level cube & dice questions. Worksheet 13 of 30 targets speed building. Build proficiency in competitive exams, aptitude training, reasoning skills with detailed solutions. Ideal for mid-level competitive exam preparation.

📝 Worksheet 13 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 13 of 30 (43% complete)

Question 1

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

Question 2

A custom dice starts with: • Top: 1, Front: 2 It is rotated: rotate left → rotate forward → rotate counterclockwise Current Orientation4Top5Front3Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: L → F → CC
After applying all rotations, Top=4, Front=5, Right=3
rotation, sequence, orientation

Question 3

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

Question 4

This net folds into a custom dice. Dice Net461253 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 5

This net folds into a alternate dice. Dice Net136?45 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 2.
net, completion, missing-face

Question 6

Two views of a alternate dice are shown: View 1: Top=2, Front=6 View 2: Top=4, Front=5 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 7

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 8

In a alternate 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 9

Two views of a custom dice are shown: View 1: Top=2, Front=3 View 2: Top=1, Front=6 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 10

A standard dice starts with: • Top: 1, Front: 2 It is rotated: rotate backward → rotate left Current Orientation2Top3Front1Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: B → L
After applying all rotations, Top=2, Front=3, Right=1
rotation, sequence, orientation

Question 11

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 12

Which dice configuration matches this net? Dice Net624135
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

This net folds into a standard dice. Dice Net425136 If face 3 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 3 is opposite to face 4.
When the net is folded, the face opposite to 3 will be on the bottom.
net, folding, spatial

Question 14

This net folds into a alternate dice. Dice Net13?264 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 5.
net, completion, missing-face

Question 15

Three faces of a alternate dice meet at a vertex: 1, 5, and 2. Which face is opposite to face 1?
In a alternate dice, opposite pairs are fixed.
Face 1 is opposite to face 4.
At the vertex where 1, 5, and 2 meet, the opposite face 4 is not visible.
vertex, opposite, 3d-reasoning, advanced

Question 16

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate backward → rotate clockwise → rotate right Current Orientation2Top1Front4Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: B → C → R
After applying all rotations, Top=2, Front=1, Right=4
rotation, sequence, orientation

Question 17

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

Question 18

In a standard dice, if face 1 is visible, which of the following CANNOT be adjacent to it?
In a standard dice, opposite faces are never adjacent.
Face 1 is opposite to face 6.
Therefore, Face 6 cannot be adjacent to 1.
adjacent, faces, basic

Question 19

Two views of a standard dice are shown: View 1: Top=6, Front=2 View 2: Top=4, Front=1 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 20

In a alternate dice, opposite faces sum to 7. 5 dice in a rectangular arrangement. What is the sum of numbers on all visible faces?
Total sum on 5 dice = 5 × 21 = 105
Hidden faces = 14
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 14 × 3.5 = 49.0
Visible sum = 105 - 49.0 = 56
multiple-dice, summation, visible-faces, advanced
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