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.
Multiple-choice questions
Solved numericals (past papers)
Vernier calipers with positive zero error
Main scale 2.3 cm; 4th vernier division coincides; LC = 0.01 cm; zero error = +0.02 cm.
observed = 2.3 + 4 × 0.01 = 2.34 cm
corrected = 2.34 − (+0.02) = 2.32 cm
Screw gauge reading of a wire
Sleeve reading 3.5 mm; 24th circular division on the line; LC = 0.01 mm; zero error = −0.03 mm.
observed = 3.5 + 24 × 0.01 = 3.74 mm
corrected = 3.74 − (−0.03) = 3.77 mm
Percentage uncertainty in the volume of a cube
Side L = (2.00 ± 0.02) cm → %age in L = (0.02/2.00) × 100 = 1%
V = L³ = 8.00 cm³; power rule → %age in V = 3 × 1% = 3%
V = (8.00 ± 0.24) cm³ i.e. 8.00 cm³ ± 3%
Dimensional check of s = ut + ½at²
[s] = [L]; [ut] = [LT⁻¹][T] = [L]; [½at²] = [LT⁻²][T²] = [L]
every term is [L] → the equation is dimensionally consistent ✓ (the ½ cannot be verified)
Significant figures in a sum
72.1 g + 3.42 g + 0.003 g = 75.523 g
least decimal places = 1 (in 72.1) → answer = 75.5 g