IB ACIO

Dice and Cube

Reasoning

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Dice and Cube

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Questions

30

Time

30 min

Marks

30

Solutions

All inline

Q1Two positions of a dice are given. Position 1: Top face is A, front face is B, right face is C. Position 2: Top face is D, front face is B, right face is E. The dice has letters A, B, C, D, E, and F. Which letter is opposite to C?mediumSolve →Q2A cube of side 60 cm is painted red on all faces and cut into smaller cubes of side 10 cm each. How many smaller cubes have exactly one face painted?mediumSolve →Q3Three positions of a dice with numbers 1 to 6 are given. Position 1: Top is 2, front is 3, right is 4. Position 2: Top is 5, front is 3, right is 6. Position 3: Top is 1, front is 4, right is 6. Which number is opposite to 5?mediumSolve →Q4A dice has symbols @, #, $, %, &, and *. Position 1: Top is @, front is #, right is $. Position 2: Top is %, front is #, right is &. Which symbol is opposite to $?mediumSolve →Q5A cube of side 80 cm is painted blue on all faces and cut into smaller cubes of side 16 cm each. How many smaller cubes have no faces painted?mediumSolve →Q6Two positions of a dice with numbers 1 to 6 are given. Position 1: Top is 1, front is 2, right is 3. Position 2: Top is 4, front is 2, right is 5. Which number is adjacent to both 3 and 4?mediumSolve →Q7A sheet in the shape of a cross is folded to form a cube with numbers 1 to 6. The opposite pairs are 1 ↔ 6, 2 ↔ 5, 3 ↔ 4. Which of the following cubes cannot be formed?mediumSolve →Q8A cube of side 72 cm is painted green on all faces and cut into smaller cubes of side 9 cm each. How many smaller cubes have at least one face painted?mediumSolve →Q9Two positions of a dice with letters P, Q, R, S, T, and U are given. Position 1: Top is P, front is Q, right is R. Position 2: Top is S, front is Q, right is T. Which letter is opposite to R?mediumSolve →Q10A cube of side 48 cm is painted yellow on all faces and cut into smaller cubes of side 8 cm each. How many smaller cubes have exactly three faces painted?mediumSolve →

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