IMO Class 12

The SOF International Mathematics Olympiad (IMO) for Class 12. Olympiad mathematics is not harder school mathematics. Most questions are solvable with the syllabus a child already has; the difficulty is noticing which piece of it applies to a problem they have not seen before.

At this level the paper runs alongside board and entrance preparation. It is worth sitting for the diagnostic value: it shows where understanding is thin before an entrance exam does.

The paper

50 questions in one hour, for 60 marks.

Section	Questions	Marks each	Total
Logical Reasoning	15	1	15
Mathematical Reasoning	20	1	20
Everyday Mathematics	10	1	10
Achievers Section	5	3	15
Total	50		60

The Achievers Section is 5 questions at 3 marks each — 15 of the 60 marks from a tenth of the questions. It is where the paper is actually decided, and it is the part most preparation skips.

What is on the syllabus

Logical Reasoning

Verbal and Non-Verbal Reasoning.

Mathematical Reasoning

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

Mathematical Reasoning

Numbers, Quantification, Numerical Applications, Solutions of Simultaneous Linear Equations, Matrices, Determinants, Application of Derivatives, Integration, Application of Integrations, Differential Equations, Probability, Inferential Statistics, Index numbers, Time-Based Data, Financial Mathematics, Linear Programming.

Section 3

The syllabus of this section will be based on the syllabus of Quantitative Aptitude.

Section 4

Matrices, Determinants, Application of Derivatives, Integration, Application of Integrations, Differential Equations, Linear Programming, Probability.

Everyday Mathematics and the Achievers Section draw on the same syllabus as Mathematical Reasoning above — set in context, and at higher order.

How Sophoz prepares for it

Practice is weighted towards problems whose shape is unfamiliar, because that is the skill the paper tests. Hints open up an approach rather than giving away the step, so the child still does the noticing.

Sessions are paced backwards from the exam date, with earlier topics revisited at widening intervals. Spacing beats massing by a wide margin — it is the best-evidenced result in learning science.

Mastery is tracked per skill rather than per subject, so a weak area is visible instead of being averaged away inside a percentage.

Before you register

Registration is through the school; SOF does not generally accept individual entries. Classes 3 and above have a second level for top performers, so a strong first paper is not the end of the preparation.

Syllabus and paper pattern from the Science Olympiad Foundation. Check sofworld.org for the current year's dates before planning around them.