Cube and dice problems — opposite faces and counting.
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Q1 · Cube and Dice · EASY
A dice is thrown and shows 3 on the top face. If the face with 4 dots is facing you, which number is on the bottom face?
Q2 · Cube and Dice · MEDIUM
Two positions of a dice are shown below. When 2 is at the bottom, which number will be at the top? Position 1: Top face shows 5, Front face shows 2 Position 2: Top face shows 3, Front face shows 5
Q3 · Cube and Dice · MEDIUM
A cube is painted red on all faces and then cut into 64 smaller identical cubes. How many smaller cubes will have exactly two faces painted?
Q4 · Cube and Dice · HARD
Three different positions of a dice are shown. Find the number opposite to 6. Position 1: Visible faces are 1, 2, 3 Position 2: Visible faces are 2, 4, 5 Position 3: Visible faces are 1, 5, 6
Q5 · Cube and Dice · MEDIUM
A standard dice is thrown twice. The sum of the numbers on the top face is 9. What is the sum of the numbers on the bottom faces in the two throws?