Cubes and Dice - Question Bank
1. In a standard die, if the face showing 4 is on the right, what number is on the left face?
2. If a cube is painted yellow on all faces and cut into 216 smaller cubes, how many smaller cubes have no faces painted?
3. A cube is painted blue on two opposite faces and red on the remaining four faces. It is cut into 64 smaller cubes. How many smaller cubes have exactly two faces painted red?
4. If a die is rolled, what is the probability of getting a number that is a multiple of 3?
5. When a cube is painted red on all faces and cut into 125 smaller cubes, how many smaller cubes have exactly one face painted?
6. A cube is painted red on one face, blue on the opposite face, and green on the remaining four faces. It is then cut into 64 smaller cubes. How many smaller cubes have exactly one face painted red?
7. In a standard die, if the face showing 2 is on the top, what number is on the bottom face?
8. If a cube is painted yellow on all faces and cut into 125 smaller cubes, how many smaller cubes have exactly two faces painted?
9. A cube is painted blue on two adjacent faces and red on the remaining four faces. It is cut into 27 smaller cubes. How many smaller cubes have exactly two faces painted red?
10. If a die is rolled, what is the probability of getting a number less than 3?
11. When a cube is painted red on all faces and cut into 27 smaller cubes, how many smaller cubes have exactly two faces painted?
12. A cube is painted red on one face, blue on the opposite face, and green on the remaining four faces. It is then cut into 125 smaller cubes. How many smaller cubes have exactly one face painted blue?
13. In a standard die, if the face showing 6 is at the front, what number is at the back?
14. If a cube is painted yellow on all faces and cut into 64 smaller cubes, how many smaller cubes have exactly one face painted?
15. A cube is painted blue on two opposite faces and red on the remaining four faces. It is cut into 125 smaller cubes. How many smaller cubes have exactly two faces painted blue?
16. If a die is rolled, what is the probability of getting a number greater than 4?
17. When a cube is painted red on all faces and cut into 64 smaller cubes, how many smaller cubes have exactly two faces painted?
18. A cube is painted red on one face, blue on the opposite face, and green on the remaining four faces. It is then cut into 27 smaller cubes. How many smaller cubes have exactly one face painted red?
19. In a standard die, if the face showing 1 is on the right, what number is on the left face?
20. A cube is painted green on all faces and cut into 125 smaller cubes. How many smaller cubes have exactly one face painted?
21. If a cube is painted blue on two adjacent faces and red on the remaining four faces, and then cut into 64 smaller cubes, how many smaller cubes have exactly two faces painted red?
22. A standard die is marked with numbers 1 to 6. If the sum of the numbers on the top and bottom faces is always 7, what is the sum of the numbers on the front and back faces?
23. When a cube is painted red on all faces and cut into 216 smaller cubes, how many smaller cubes have no faces painted?
24. A cube is painted red on one face, blue on the opposite face, and green on the remaining four faces. It is then cut into 64 smaller cubes. How many smaller cubes have exactly one face painted green?
25. In a standard die, if the face showing 3 is visible, which of the following numbers cannot be on an adjacent face?
26. If a cube is painted yellow on all faces and cut into 27 smaller cubes, how many smaller cubes have exactly three faces painted?
27. A cube is painted red on two adjacent faces and blue on the remaining four faces. It is cut into 125 smaller cubes. How many smaller cubes have exactly two faces painted red?
28. If a die shows 5 on the top face, what number is on the bottom face in a standard die?
29. Consider a cube painted with six different colors, one on each face. If it is cut into 64 smaller cubes, how many smaller cubes will have no color?
30. A cube is painted red on one face, blue on the opposite face, and green on the remaining four faces. It is then cut into 27 smaller cubes. How many smaller cubes have exactly one face painted blue?
31. If a standard die is rolled, what is the probability of getting a prime number?
32. When a cube is painted red on all faces and cut into 216 smaller cubes, how many smaller cubes have exactly two faces painted?
33. A cube is painted green on two adjacent faces and yellow on the remaining four faces. It is cut into 125 smaller cubes. How many smaller cubes have exactly two faces painted yellow?
34. In a standard die, the sum of numbers on any two adjacent faces is never equal to the number on the opposite face. This statement is:
35. If a cube is painted blue on two opposite faces and red on the remaining four faces, and then cut into 64 smaller cubes, how many smaller cubes have exactly two faces painted red?
36. A standard die is numbered 1 to 6. If the top face shows 4, what number is on the bottom face?
37. If a cube is painted red on all faces and cut into 27 smaller cubes, how many smaller cubes have at least one face painted?
38. What is the total number of possible outcomes when rolling two standard dice?
39. If a die is rolled, what is the probability of getting an even number?
40. How many edges does a cube have?
41. How many vertices does a cube have?
42. How many faces does a cube have?
43. If one face of a cube is painted red, the opposite face blue, and two adjacent faces green, and the remaining two faces yellow, and it is cut into 64 smaller cubes, how many cubes have only one face painted green?
44. When a cube is painted yellow on all its faces and cut into 216 smaller cubes, how many smaller cubes have exactly one face painted?
45. A cube is painted red on one face, blue on the opposite face, and green on the remaining four faces. It is then cut into 27 smaller cubes. How many smaller cubes have one red face and two green faces?
46. Consider a standard die. If you see the numbers 1, 2, and 3 on adjacent faces, what number is opposite to 2?
47. A cube is painted green on all its faces and then cut into 64 smaller, equal cubes. How many smaller cubes will have exactly two faces painted?
48. In a standard die, if the face with '1' is at the bottom, which number will be on the top face?
49. If a cube is painted blue on two adjacent faces and green on the remaining four faces, and then cut into 125 smaller cubes, how many smaller cubes will have one blue face and two green faces?
50. A cube is painted red on all its faces and then cut into 27 smaller, equal cubes. How many smaller cubes will have no faces painted?