Dice and visual reasoning. - One Line Questions

1. When a standard die is rolled, which of the following is a possible outcome for the number of dots on the top face? 3
2. A standard six-sided die has faces numbered from 1 to 6. If the sum of the numbers on opposite faces is always 7, what number is opposite to 3? 4
3. In a set of dice, if one die shows a '6' on top, what can be the sum of the dots on the bottom face? 1
4. If the faces of a die are numbered 1, 2, 3, 4, 5, 6, and opposite faces sum to 7, which number is opposite to 5? 2
5. Two positions of a standard die are shown. If '2' is on the top face in one instance, what number is on the bottom face? 5
6. In a particular die, the number 5 is adjacent to 1, 2, 3, and 4. What number is opposite to 5? 6
7. A die is shown in three different positions. If '3' is on the top face, what number is on the bottom face? 4
8. Observe the given positions of a die. If '6' is on the bottom face, what number is on the top face? 1
9. Two different views of a die are given. If '5' is on the top face, what number is on the bottom face? 2
10. A die is represented by its net. If the face with '4' dots is on the bottom, what number is on the top face? 1
11. Consider a die where opposite faces sum to 7. If the face showing '2' is visible, which number is guaranteed to be hidden on the opposite face? 5
12. Two positions of a die are shown. If '3' is on the top, what number is on the bottom? 2
13. Two distinct positions of a die are shown. If '4' is on the top, what number is on the bottom? 1
14. Consider the net of a die. If the face with '3' dots is on the front, what number is on the back face? 6
15. If '2' is on the front face of a die, and '4' is on the top face, what number is on the right face? 1
16. Three views of a die are presented. If '6' is on the top, what number is on the bottom? 1
17. A die is shown in two different positions. If '5' is on the front face, what number is on the back face? 2
18. Two positions of a die are shown. If '4' is on the front face, what number is on the back face? 2
19. A die has faces numbered such that opposite faces sum to 7. If '2' is on the top and '4' is on the front, what number is on the right face? 6
20. Two different views of a die are given. If '6' is on the top, what number is on the bottom? 1
21. A die is shown in three positions. If '2' is on the top, what number is on the bottom? 5
22. If '3' is on the front face and '5' is on the top face, what number is on the right face of a standard die? 4
23. Which number is opposite to '4' in a standard die? 3
24. Two positions of a die are given. If '5' is on the top, what number is on the bottom? 2
25. A die is shown in three different ways. If '4' is on the bottom, what number is on the top? 1
26. In a standard die, if '2' is on the front and '6' is on the right, what number is on the top? 5
27. In a standard die, which pair of numbers cannot be on adjacent faces if '6' is on the top face? 1 and 6
28. If a die has faces showing 1, 2, 3, 4, 5, 6 such that opposite faces sum to 7, which of the following is NOT a possible orientation? 1 on top, 2 on front
29. When a die is unfolded into a net, which of the following is a valid arrangement of numbers on the faces? 1, 2, 3 in a row, 4 above 1, 5 above 2, 6 above 3
30. In a standard die, if '5' is on one face, what are the possible numbers on the adjacent faces? 1, 3, 4, 6
31. If '4' is on the top face of a die, which numbers can be on the side faces? 1, 2, 5, 6
32. Consider a standard die. If '1' is on the top face, what number is on the bottom face? 6
33. If a die is rolled and the top face shows '1', which number is guaranteed NOT to be on any of the side faces? 6
34. A standard die is shown in two positions. If '1' is on the top face, what number is on the bottom face? 6
35. In a die, if 1, 2, and 3 are adjacent to each other, what number is opposite to 1? 4
36. Which number will be opposite to '1' in a standard die? 6
37. Observe the following figures of a die. If '1' is at the bottom, what number will be on the top? 5
38. When a die is rotated such that the face with '3' dots is now on the bottom, and the face with '1' dot was previously on top, what number is now on the top? 6
39. If '1' is on the top face and '5' is on the front face of a die, what number is on the right face? 3
40. In a standard die, if '3' is on the front face and '1' is on the right face, what number is on the top face? 6
41. If '1' is adjacent to '4' and '5', what number is opposite to '1'? 6
42. Consider a die where '2' is opposite to '5'. If '1' is on the top face, what number is on the bottom face? 6
43. In a standard die, if '4' is on the front face, '1' is on the top face, what number is on the right face? 3
44. If '1' is on the top face and '3' is on the front face, what number is on the right face of a standard die? 6
45. A die has its faces numbered 1 to 6. If the numbers 1, 2, 3 are adjacent, which number is opposite to 2? 5
46. In a standard die, if '1' is adjacent to '2' and '3', what number is opposite to '1'? 6
47. If a die shows '1' on the top, '2' on the front, and '3' on the right, what number is on the bottom? 6
48. Which of the following patterns represents a valid net of a standard die? A cross-shaped net with four faces in a row and one above and one below
49. Two different positions of the same die are shown. If '4' is on the bottom face, how many dots can be on the top face? 1, 2, or 3
50. If '3' is on the top face of a die, what are the possible numbers on the bottom face? Cannot be determined