Figure Counting & Dice Faces

A high-yield practice drill on Non-Verbal Reasoning, Figure Counting, and Dice Problems tailored for Kerala PSC examinations. It covers triangle and square counting formulas in standard geometric configurations, standard dice properties, opposite face deduction from multiple perspectives, and unfolded cube nets.

Study Scope

• Triangle Counting: Divided vertices ($$\frac{n(n+1)}{2}$$), squares with diagonals ($$2 \times n$$ parts)
• Square Counting: $$n \times n$$ grid ($$\sum k^2$$), rectangles in $$m \times n$$ grid
• Standard Dice Rule: Sum of opposite faces is always $$7$$
• Non-Standard Dice: Clockwise rotation rule with one common face; remaining face rule with two common faces
• Unfolded Net: Alternate faces in a line are opposite each other

Tested Competencies

• Count geometric figures systematically without double counting or missing shapes
• Determine opposite faces of dice rapidly using standard PSC rules
• Fold mental cube nets accurately under exam time constraints