Q1 · medium · AI-verified
A cube is painted red on two opposite faces, green on two opposite faces, and yellow on the remaining two faces. It is then cut into 125 equal smaller cubes. How many smaller cubes have all three colours?
- 8
- 24
- 4
- 12
Q2 · hard · AI-verified
From the two positions of a die shown below, identify the number opposite to face 5.
Position 1: Top=1, Front=2, Right=3
Position 2: Top=2, Front=5, Right=1
- 6
- 4
- 3
- 2
Q3 · medium · AI-verified
A cube is painted blue on all faces and then cut into 27 equal smaller cubes. How many smaller cubes have NO face painted?
- 4
- 0
- 1
- 8
Q4 · medium · AI-verified
A cube is painted red on all six faces and then cut into 64 equal smaller cubes. How many smaller cubes have exactly two faces painted?
- 16
- 24
- 32
- 12
Q5 · medium · AI-verified
Four positions of a dice are shown below. Which number is opposite to 4?
[Position 1: Top=1, Front=2, Right=3]
[Position 2: Top=2, Front=4, Right=5]
[Position 3: Top=3, Front=6, Right=4]
[Position 4: Top=5, Front=1, Right=6]
- 5
- 6
- 3
- 2