IMO Sample Papers For Class 12 with Answers

IMO Sample Papers For Class 12 With Answer

IMO Sample Papers For Class 12

International Mathematics Olympiad or IMO is a premier mathematics Olympiad conducted by Science Olympiad Foundation for students to build a foundation for mathematics among them for higher classes. IMO helps in improving the student’s solving abilities and analytical thinking by challenging them with questions of high order thinking. This prepares them for future competitive exams.

Class 12 IMO Sample Papers are available on SOF Olympiad Trainer in the form of PDFs which can be downloaded by the students to help them prepare for the exam holistically. To download them click here.

SOF Olympiad Trainer aims to deliver each and every relevant study material that helps the student ace the IMO exam by providing a glimpse of the exam through Class 12 IMO Sample Papers. These Sample Papers expose the students to a variety of questions across many difficulty levels that make them comfortable with the subject and the concepts.

Benefits of the IMO Sample Papers:

  • Students get an understanding of the main question paper.
  • The Sample Paper gives an inkling of the sections of the main exam.
  • It gives the basic idea of the type of questions asked in each section.
  • Students get an idea on what to expect from the question paper and the difficulty level.

IMO class 12 consists of a total of 50 questions of a total of 60 marks divided into 4 sections as explained below:

  • Logical Reasoning – This section judges the logical and mental ability among students and tests their analytical and general intellectual skills through Verbal and Non-Verbal Reasoning.
  • Mathematical Reasoning - This section tests the understanding of mathematical concepts and calculative powers of the students. The questions of this section can be calculative and time consuming.
  • Everyday Mathematics – the section challenges the candidate’s thinking ability with questions of amalgamation of everyday situations and general management.
  • Achiever’s section – This section tests the students with questions from a variety of different concepts. This section makes a lot of difference in the rankings, as it contains 5 questions of more weightage and advanced level that requires higher order thinking skills.


Section – 1 : Verbal and Non-Verbal Reasoning.

Section – 2 : Relations and Functions, Inverse Trigonometric Functions, Matrices and Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, Probability, Linear Programming.

Section – 3 : The syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude.

Section – 4 : Higher Order Thinking Questions - Syllabus as per Section – 2.

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