Maths Olympiad Syllabus Explained Class by Class

Parents often ask us for "the Maths Olympiad syllabus", expecting a chapter list like a school textbook. It does not quite work that way, and understanding why is the first step to preparing properly.

Olympiad papers test the school syllabus for that class plus a layer of logical reasoning that school does not usually teach. The topics are familiar; the questions are not.

Here is what each stage actually covers, and what changes as a child moves up.

The shape of an olympiad paper

Most Indian maths olympiads follow a similar structure:

That first section surprises most parents. A large part of the paper is not curriculum maths at all — it is reasoning. Children who only revise textbook chapters are unprepared for it.

Class 3 to 4: the foundation years

School topics tested: numbers up to 10,000, addition and subtraction with carrying and borrowing, multiplication tables, simple division, basic fractions, shapes, measurement, time and money, simple data handling.

Reasoning topics: patterns, odd one out, simple series, mirror images, grouping.

What actually decides marks at this level: speed and accuracy in arithmetic. Most children at Class 3 and 4 lose marks not because a question is conceptually hard but because they are slow or careless with the calculation inside it.

This is why mental-maths training pays off so visibly at this stage — see how mental math boosts performance in all subjects.

Class 5 to 6: reasoning takes over

School topics tested: factors and multiples, HCF and LCM, fractions and decimals, percentages, basic geometry and angles, perimeter and area, averages, simple ratio.

Reasoning topics: number series, analogies, coding-decoding, direction sense, simple Venn diagrams, cube and dice questions.

What changes: questions stop being single-step. A typical Class 6 olympiad question needs two or three linked ideas — find the LCM, then use it in a word problem, then convert the answer to a fraction.

This is the stage where children who have only memorised procedures start to struggle, and children who understand why a method works pull ahead.

Class 7 to 8: genuine problem solving

School topics tested: integers, rational numbers, algebraic expressions and simple equations, ratio and proportion, percentage and its applications, lines and angles, triangles, congruence, mensuration, exponents, data handling and probability.

Reasoning topics: more complex series, blood relations, syllogisms, mathematical operations, non-verbal reasoning.

What changes: the achievers section becomes genuinely difficult. Questions may combine algebra with geometry, or require noticing a pattern before any calculation is possible. Number theory ideas — divisibility, remainders, digit sums — appear regularly even though school barely touches them.

Our course covers Grades 3 to 8, which spans exactly this arc from arithmetic speed to structured problem solving.

The topics school does not teach

These appear in olympiad papers at every level and are usually the deciding factor:

• Divisibility rules beyond 2, 5 and 10 — especially 3, 4, 6, 8, 9 and 11
• Digit sums and their properties
• Remainder patterns — what the last digit of 7¹⁰⁰ is, and why
• Counting problems — how many rectangles in a grid, how many handshakes
• Working backwards from an answer
• Pigeonhole reasoning — if 13 people are in a room, two share a birth month

None of these are difficult. They are simply not on the school timetable, so a child meets them for the first time in the exam unless someone teaches them.

How to prepare, by stage

Classes 3–4: 80% arithmetic fluency, 20% reasoning puzzles. Speed is the goal.

Classes 5–6: 50% syllabus revision done through unfamiliar question types, 30% reasoning, 20% past papers.

Classes 7–8: 40% past papers under time, 30% the off-syllabus topics above, 30% targeted work on weak areas.

The mistake most families make is starting past papers too early. A child who cannot yet calculate quickly will find past papers demoralising rather than instructive.

Our guide to preparing your child for a maths olympiad covers the week-by-week practicalities.

Frequently asked questions

Which olympiad should we start with? The school-level olympiad your child's school already conducts is the natural first step. It requires no separate registration and gives a realistic benchmark.

Is olympiad preparation useful if my child does not win anything? Yes, and this is the main argument for it. The reasoning skills and the habit of working under time carry directly into school exams and later into competitive papers.

How much time per week is realistic? Two to three hours a week is plenty for Classes 3 to 6. Classes 7 and 8 preparing seriously might do four to five.

Does my child need to be exceptional at maths? No. Olympiads reward practice with unfamiliar question types more than raw talent. Most children improve substantially in one season.

What age is too early? Below Class 3 the papers are mostly reasoning and the benefit is limited. Building arithmetic fluency first is a better use of that time.

Preparation that fits the actual paper

Our Maths Olympiad course is built for Grades 3 to 8 and covers both halves of the paper — the syllabus questions and the reasoning section school leaves out.

Book a free demo class and we will tell you honestly whether your child is ready to start.

Cover image: Jérémy Barande — CC BY-SA 2.0.