Dice— Concepts, Formulas & Shortcuts
- On a standard die, opposite faces sum to 7: 1–6, 2–5, 3–4.
- Any two faces visible in the same view are adjacent, never opposite.
- If a face appears in two different views, use it as the pivot to deduce the rest.
- A cube has 6 faces; each face is adjacent to 4 others and opposite to exactly 1.
- Two dice are identical if one can be rotated to look like the other.
- When two views share two common faces, the remaining faces are opposite each other.
Dice Practice Questions with Answers
Attempt each question first, then open the explanation. All 10 questions below are free to read and require no signup.
Q1.On a standard die, which number is opposite 1?
Easy- A2
- B4
- C5
- D6
Dice question 1 of 10+Show Answer & Explanation
Answer: D. 6
Explanation: Opposite faces sum to 7, so 1 faces 6.
Q2.On a standard die, which number is opposite 3?
Easy- A2
- B4
- C5
- D6
Dice question 2 of 10+Show Answer & Explanation
Answer: B. 4
Explanation: Opposite faces of a standard die sum to 7, so 7 − 3 = 4.
Q3.If 2 and 5 appear on adjacent faces of a die, that die is:
Moderate- AStandard
- BNon-standard
- CImpossible
- DLoaded
Dice question 3 of 10+Show Answer & Explanation
Answer: B. Non-standard
Explanation: On a standard die 2 and 5 are opposite, so seeing them adjacent means it is not standard.
Q4.A cube has how many faces adjacent to any given face?
Easy- A3
- B4
- C5
- D6
Dice question 4 of 10+Show Answer & Explanation
Answer: B. 4
Explanation: Each face touches four others and is opposite exactly one.
Q5.On a standard die, the sum of the numbers on all six faces is:
Easy- A18
- B20
- C21
- D24
Dice question 5 of 10+Show Answer & Explanation
Answer: C. 21
Explanation: 1 + 2 + 3 + 4 + 5 + 6 = 21.
Q6.If a die shows 1, 2 and 3 in one view, which face cannot be opposite 2?
Moderate- A1
- B4
- C5
- D6
Dice question 6 of 10+Show Answer & Explanation
Answer: A. 1
Explanation: Faces seen together are adjacent, so 1 and 3 are adjacent to 2 and cannot be opposite it.
Q7.On a standard die, the sum of the numbers on any two opposite faces is:
Easy- A5
- B6
- C7
- D8
Dice question 7 of 10+Show Answer & Explanation
Answer: C. 7
Explanation: This is the defining property of a standard die.
Q8.Two views of a die show faces 1, 2, 3 and 1, 3, 5. Which face is opposite 2?
Difficult- A1
- B3
- C5
- D6
Dice question 8 of 10+Show Answer & Explanation
Answer: C. 5
Explanation: 1 and 3 appear in both views, so they are adjacent to both 2 and 5 — leaving 2 and 5 opposite each other.
Q9.How many edges does a cube have?
Easy- A8
- B10
- C12
- D16
Dice question 9 of 10+Show Answer & Explanation
Answer: C. 12
Explanation: A cube has 12 edges, 6 faces and 8 vertices.
Q10.If the face showing 4 is on top of a standard die, which number is at the bottom?
Easy- A1
- B2
- C3
- D5
Dice question 10 of 10+Show Answer & Explanation
Answer: C. 3
Explanation: Opposite faces sum to 7, so the face below 4 is 7 − 4 = 3.
Dice — Frequently Asked Questions
What is the standard-die rule?+
Opposite faces always sum to seven, so 1 faces 6, 2 faces 5 and 3 faces 4. If a question says "a standard die", this rule alone answers most variants.
How do I use two different views of the same die?+
Find a number appearing in both views and treat it as fixed. The other faces have rotated around it, which lets you pair up the remaining faces.
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