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Mathematics · Class 12

SOF IMO Class 12 — Syllabus & Sample Questions

Preparing for the SOF IMO in Class 12? This guide covers the Class 12 syllabus scope and two illustrative sample questions with worked explanations, written by Tutors Parliament to help you get started — not official SOF material.

Class 12 IMO Syllabus

Broadly aligned with CBSE, ICSE/ISC and major state board syllabi for Class 12, plus IMO's logical-reasoning and application-based questions.

  • Relations, Functions & Inverse Trigonometry
  • Matrices & Determinants
  • Continuity, Differentiability & Applications of Derivatives
  • Integrals & Applications of Integrals
  • Differential Equations
  • Vectors & 3D Geometry
  • Linear Programming & Probability

Sample Questions

Two illustrative practice questions written by Tutors Parliament for Class 12 IMO — not official SOF questions. Tap a question to reveal the answer and explanation.

Question 1

What is the derivative of x³ with respect to x?

Show Answer▾
  • A. x²
  • B. 3x
  • C. 3x² ✓
  • D. x³/3
Explanation: Using the power rule, d/dx(xⁿ) = n·x⁽ⁿ⁻¹⁾, so d/dx(x³) = 3x².

Question 2

A die is rolled once. What is the probability of getting a number greater than 4?

Show Answer▾
  • A. 1/6
  • B. 1/3 ✓
  • C. 1/2
  • D. 2/3
Explanation: Numbers greater than 4 on a die are 5 and 6 — 2 favourable outcomes out of 6, so the probability is 2/6 = 1/3.

Preparation Strategy for Class 12

  • Practice applying calculus, algebra and coordinate geometry concepts to unfamiliar problem types, not just textbook drills
  • Work through permutation-combination and probability puzzles regularly
  • Attempt timed objective-type sets to simulate exam pressure
  • Revise Class 11 fundamentals thoroughly before a Class 12 attempt, since Olympiad papers often draw on both years

Frequently Asked Questions

What topics are covered in IMO for Class 12?

Class 12 IMO broadly follows that class's school syllabus for the subject, with added logical-reasoning and application-based questions. See the syllabus list on this page for the specific topics it covers.

Are the sample questions on this page official SOF questions?

No. These are original practice questions written by Tutors Parliament to illustrate the style and difficulty level of Class 12 IMO, not official SOF material. Refer to SOF's own sample papers for official practice content.

How can Tutors Parliament help with Class 12 IMO preparation?

A tutor can identify which topics from the Class 12 syllabus need the most attention and build focused practice around them, rather than generic revision.

Ready to Prepare for Class 12 IMO?

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SOF IMO Class 12 Syllabus & Sample Questions | Tutors Parliament | Tutors Parliament