ISC Class 12 questions and answers
ISC Class 12 subject practice; ISC, not ICSE, is the Class 12 examination.
The ISC label describes the intended study track, not an endorsement or a verified mapping to the latest syllabus. These are practice variations, many generated from templates and numeric inputs, not an official question bank. They remain outside search indexing until at least 100 independently reviewed questions across five chapters are available.
Questions and clear answers
01Mathematics · foundation · Editorial previewWhat is the chain rule in differentiation?+
For a composite function f(g(x)), its derivative is f-prime of g(x) multiplied by g-prime of x.
02Physics · foundation · Editorial previewWhat is the direction of magnetic force on a moving charge?+
It is perpendicular to velocity and magnetic field, following the vector cross-product law.
03Mathematics · foundation · Editorial previewDoes correlation prove causation?+
No. Correlation indicates association; further evidence is needed to establish causation.
04Physics · foundation · Editorial previewWhat is the SI unit of electric potential?+
The volt equals one joule of electric potential energy per coulomb of charge.
05Mathematics · Differential calculus · advanced · Editorial previewIn isc class 12 — Differential calculus: Differentiate 24x^13 with respect to x.+
Power rule: d/dx [24x^13] = 312x^12.
06Mathematics · Integral calculus · foundation · Editorial previewIn isc class 12 — Integral calculus: Evaluate the definite integral of 16x from x = 0 to x = 1.+
An antiderivative is 8x². Evaluating from 0 to 1 gives 8.
07Mathematics · Vectors · foundation · Editorial previewIn isc class 12 — Vectors: Vector u = (3206, 2) and v = (15, 8). Find u + v.+
Add coordinates: (3221, 10).
08Mathematics · Probability · intermediate · Editorial previewIn isc class 12 — Probability: A bag contains 3817 blue tokens and 34 red tokens. What is the probability of randomly drawing a red token?+
There are 3851 tokens, so P(red) = 34/3851 ≈ 0.0088.
09Mathematics · Matrices · foundation · Editorial previewIn isc class 12 — Matrices: Matrix A = [[4428, 7], [6, 5]]. Find its trace.+
Trace is the sum of diagonal entries: 4428 + 5 = 4433.
10Physics · Electric fields · advanced · Editorial previewIn isc class 12 — Electric fields: A device operates at 130 volts and draws 12 amperes. Find electrical power.+
P = VI = 130 × 12 = 1560 watts.
11Physics · Current electricity · intermediate · Editorial previewIn isc class 12 — Current electricity: A resistor of 20 Ω carries 2 A of current. Find the voltage.+
V = IR = 2 × 20 = 40 volts, assuming Ohm's law applies.
12Physics · Waves · foundation · Editorial previewIn isc class 12 — Waves: A wave has frequency 40 Hz and runs for 9 seconds. Find its period and total cycles.+
Period = 1/40 ≈ 0.025 s; total cycles = frequency × time = 360.
13Chemistry · Solutions · foundation · Editorial previewIn isc class 12 — Solutions: Dissolve 11 mol of solute and make up 16 litres of solution. Find molarity.+
Molarity = moles/volume = 11/16 ≈ 0.6875 mol/L.
14Chemistry · Chemical kinetics · intermediate · Editorial previewIn isc class 12 — Chemical kinetics: A simulated reaction consumes 2484 mmol of reactant over 18 seconds. Find its average consumption rate.+
Average rate = 2484/18 ≈ 138 mmol/s.
15Chemistry · Oxidation reduction · advanced · Editorial previewIn isc class 12 — Oxidation reduction: In 13 vessels, each contains 4 mol H₂ and sufficient O₂ for 2H₂ + O₂ → 2H₂O. What total moles of H₂O could form?+
Each vessel makes 4 mol H₂O from 4 mol H₂; total = 13 × 4 = 52 mol H₂O.
16Mathematics · Applied mathematics · foundation · Editorial previewIn isc class 12 — Applied mathematics: Calculate simple interest on ₹370600 at 9% per year for 3 years.+
SI = PRT/100 = 370600 × 9 × 3/100 = ₹100062.
17Mathematics · Differential calculus · intermediate · Editorial previewIn isc class 12 — Differential calculus: Differentiate 16x^12 with respect to x.+
Power rule: d/dx [16x^12] = 192x^11.
18Mathematics · Integral calculus · foundation · Editorial previewIn isc class 12 — Integral calculus: Evaluate the definite integral of 46x from x = 0 to x = 17.+
An antiderivative is 23x². Evaluating from 0 to 17 gives 6647.
This is an educational practice preview. Answers and board-specific alignment are undergoing editorial review; these are not official exam questions.