Board-style MCQs and past-paper numericals in the BIEK / Sindh Board pattern. Tap an option to check yourself instantly. Solved questions are at the bottom.
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Multiple-choice questions
Solved numericals (past papers)
Resultant of two perpendicular forces
Forces 6 N (east) and 8 N (north). R = √(6² + 8²) = √100 = 10 N; tan α = 8/6 → α = 53° N of E
Components of a velocity
A ball is thrown at 20 m/s, 60° above the horizontal. vₓ = 20 cos60° = 10 m/s; v_y = 20 sin60° = 17.3 m/s
Resultant at 60°
Two 5 N forces act at 60°. R = √(25 + 25 + 2·5·5·cos60°) = √(75) = 8.66 N
Displacement around a square
A man walks 4 sides of a 10 m square back to start. distance = 40 m; displacement = 0 m