IMO Class 10

The SOF International Mathematics Olympiad (IMO) for Class 10. 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.

By this stage the syllabus overlaps heavily with board preparation, so the marginal cost of olympiad practice is low and the marginal benefit — reasoning under time pressure — transfers directly to boards.

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

Real Numbers, Polynomials, Pair of Linear Equations in Two Variables, Quadratic Equations, Arithmetic Progressions, Triangles, Coordinate Geometry, Introduction to Trigonometry, Some Applications of Trigonometry, Circles, Areas Related to Circles, Surface Areas and Volumes, Statistics, Probability.

Section 3

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

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.