ReasoningAbility.com

Cube & Dice - Beginner-Intermediate Level: logical deduction BEGINNER-INTERMEDIATE

Intensive quick response training 🎯 drill: 20 beginner-intermediate-level cube & dice questions. Worksheet 10 of 30 hones your logical deduction abilities. Practice problem solving, practice tests, exam preparation under timed conditions. Best for developing students seeking building on fundamentals with moderate challenges.

📝 Worksheet 10 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Cube & Dice
Worksheet 10 of 30 (33% complete)

Question 1

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

Question 2

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

Question 3

This net folds into a custom dice. Dice Net451263 If face 2 is on the top, which face is on the bottom?
In a custom dice, opposite faces are: 1↔3, 2↔5, 4↔6.
Face 2 is opposite to face 5.
When the net is folded, the face opposite to 2 will be on the bottom.
net, folding, spatial

Question 4

Which dice configuration matches this net? Dice Net315426
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

This net folds into a alternate dice. Dice Net612534 If face 5 is on the top, which face is on the bottom?
In a alternate dice, opposite faces are: 1↔4, 2↔3, 5↔6.
Face 5 is opposite to face 6.
When the net is folded, the face opposite to 5 will be on the bottom.
net, folding, spatial

Question 6

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

This net folds into a standard dice. Dice Net324516 If face 4 is on the top, which face is on the bottom?
In a standard dice, opposite faces are: 1↔6, 2↔5, 3↔4.
Face 4 is opposite to face 3.
When the net is folded, the face opposite to 4 will be on the bottom.
net, folding, spatial

Question 8

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

Question 9

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 10

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

Question 11

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

Question 12

In a standard dice, opposite faces sum to 7. 4 dice arranged in a horizontal line. What is the sum of numbers on all visible faces?
Total sum on 4 dice = 4 × 21 = 84
Hidden faces = 10
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 10 × 3.5 = 35.0
Visible sum = 84 - 35.0 = 49
multiple-dice, summation, visible-faces, advanced

Question 13

A alternate dice starts with: • Top: 1, Front: 2 It is rotated: rotate clockwise → rotate backward → rotate right → rotate forward Current Orientation2Top4Front4Right What number is on the TOP face after these rotations?
Initial: Top=1, Front=2
Rotation sequence: C → B → R → F
After applying all rotations, Top=2, Front=4, Right=4
rotation, sequence, orientation

Question 14

In a standard dice, opposite faces sum to 7. 3 dice stacked vertically. What is the sum of numbers on all visible faces?
Total sum on 3 dice = 3 × 21 = 63
Hidden faces = 6
Each hidden face has its opposite hidden (sum = 7)
Hidden sum = 6 × 3.5 = 21.0
Visible sum = 63 - 21.0 = 42
multiple-dice, summation, visible-faces, advanced

Question 15

Two views of a standard dice are shown: View 1: Top=4, Front=1 View 2: Top=6, Front=3 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 16

In a custom 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 17

Two views of a custom dice are shown: View 1: Top=2, Front=1 View 2: Top=4, Front=5 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 18

Which dice configuration matches this net? Dice Net354216
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 19

In a alternate 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 20

In a custom dice, if face 2 is visible, which of the following CANNOT be adjacent to it?
In a custom dice, opposite faces are never adjacent.
Face 2 is opposite to face 5.
Therefore, Face 5 cannot be adjacent to 2.
adjacent, faces, basic
Previous Worksheet Next Worksheet