Academic Olympiad · Classes 1–10
Mathematics Olympiad
Number sense, speed and applied problem-solving, beyond the school syllabus — papers built to test how your child thinks through a problem, not just how well they've memorised the steps.
No payment for the mock test. Enrol for just ₹299 whenever you're ready.
Classes 1–10
₹299 Flat Fee
Offline + Online (AI-Proctored)
Percentage-Based Report
Why This Olympiad
What the Mathematics Olympiad Actually Tests
Not extra homework. A different kind of question altogether.
Number Sense & Computation
Fluency with numbers that goes beyond textbook drills.
Applied Problem-Solving
Questions framed the way real problems actually show up.
Patterns & Logical Reasoning
Spotting structure and working through multi-step logic.
Speed & Accuracy
Confident, quick thinking under real exam conditions.
Real-World Application
Math connected to situations a child can actually picture.
A Clear Report, Not a Rank
A percentage-based report showing exactly what your child knows.
Classes 1–10
Difficulty That Grows With Your Child
The same exam philosophy, scaled to where your child actually is.
Classes 1–5
Foundation
Building comfort and confidence with numbers, shapes and simple reasoning — questions framed to feel familiar, not intimidating.
Classes 6–8
Intermediate
Stretching into multi-step problems, patterns and applied logic as the school syllabus itself starts asking for more.
Classes 9–10
Advanced
Exam-style rigor and applied reasoning that mirrors the depth of thinking senior classes are expected to handle.
Full Syllabus
IGMO Syllabus — Class 1 to Class 10
Tap a class to open its complete topic-wise breakdown.
Class 1 — Mathematics Olympiad Syllabus
17 topics- Pre-Number Concepts — – comparing objects: big/small, tall/short, heavy/light, more/less/equal; sorting by colour, shape, size; inside/outside, above/below, near/far, left/right; before/after/between
- Counting – 1 to 20 — – counting objects up to 20; one-to-one correspondence; counting forward and backward; skip counting by 2s and 5s (introduction)
- Numbers 1 to 100 — – reading and writing numbers in figures and words; identifying the correct number for a given group; number names one to one hundred
- Place Value – Tens and Ones — – understanding 2-digit numbers: 23 = 2 tens + 3 ones; identifying tens and ones digits; expanded form using objects (sticks/blocks)
- Ordering and Comparing Numbers — – greater than (>), less than (<), equal to (=); ascending and descending order; number before/after/between; biggest and smallest in a group
- Addition – Joining Groups — – addition as joining two groups; addition within 99; horizontal and vertical addition; using objects, pictures, number line; word problems
- Subtraction – Taking Away — – subtraction as taking away; subtraction within 99; horizontal and vertical subtraction; using objects and pictures; word problems
- Number Bonds — – pairs of numbers that add up to a given total (up to 10); number bonds for 5, 6, 7, 8, 9, 10; fact families (3+4=7, 4+3=7, 7-3=4, 7-4=3)
- Shapes – 2D — – circle, square, triangle, rectangle; sorting by name and features; counting sides and corners; shapes in real life; drawing simple shapes
- Shapes – 3D / Solids — – cube, cuboid, cone, cylinder, sphere; matching to real objects (ball=sphere, box=cuboid); rolling, sliding, and stacking – what shapes can do
- Patterns — – ABAB, AABB, ABC patterns with shapes, colours, objects; extending a pattern by identifying the rule; number patterns: 1, 2, 3, ___, 5
- Measurement – Length — – comparing using non-standard units (hand span, pencil, foot); longer/shorter/same; introduction to centimetre (cm)
- Measurement – Weight — – heavier/lighter/same using a balance scale; introduction to kilogram; comparing weights of everyday objects
- Measurement – Capacity — – more/less/same when filling containers; full, half-full, empty; introduction to the concept of litre
- Time — – morning, afternoon, evening, night; days of the week (Monday to Sunday); months of the year; reading the clock: hour hand and minute hand; o'clock times only
- Money — – Indian coins: 1, 2, 5, 10 rupees; notes: ₹10, ₹20, ₹50; different coins have different values; simple shopping: which costs more?
- Data Handling – Pictograph — – reading a simple pictograph (each picture = 1 item); answering how many, which is more/less/same; collecting simple data by counting
Class 2 — Mathematics Olympiad Syllabus
17 topics- Numbers up to 999 — – counting, reading, writing; before/after/between; comparing (> < =); ascending & descending; even & odd; expanded form; place value
- Number Names — – writing number names 1 to 100; matching numerals with words
- Addition — – 2-digit with and without regrouping; three 1-digit numbers; properties; word problems; mental math
- Subtraction — – 2-digit with and without borrowing; fact families; subtraction from 100; word problems
- Multiplication (Introduction) — – repeated addition; tables of 2, 3, 4, 5 and 10; multiplication sentences; word problems
- Division (Introduction) — – equal sharing & grouping; using multiplication tables (÷2, ÷3, ÷4, ÷5, ÷10); word problems
- Fractions (Basic) — – half (½) and quarter (¼) of a shape; half of a number (half of 8 = 4)
- 2D Shapes — – circle, triangle, square, rectangle, oval; sides & corners; shapes in real life
- 3D Shapes — – cube, cuboid, cylinder, cone, sphere; flat/curved faces; real-life examples
- Patterns — – AB, ABC, AAB patterns; number patterns; growing & repeating patterns
- Length — – non-standard and standard units (cm, m); using a ruler; comparing lengths
- Weight — – heavier/lighter; balance scale; kg and g (introduction)
- Capacity — – more/less/same; litre (L) and millilitre (mL) introduction
- Time — – days of the week & months; reading clock to the hour and half past; yesterday/today/tomorrow; using a calendar
- Money — – Indian coins (1, 2, 5, 10 rupee) and notes (10, 20, 50 rupee); adding amounts up to ₹50; making change; shopping problems
- Data Handling — – reading a simple pictograph; counting and comparing data
- Word Problems — – one-step problems using addition and subtraction; choosing the right operation
Class 3 — Mathematics Olympiad Syllabus
18 topics- Numbers up to 9,999 — – reading and writing numbers in words and figures; place value: ones, tens, hundreds, thousands; face value vs place value; expanded form; comparing and ordering; before/after/between; skip counting by 2s, 3s, 4s, 5s, 10s
- Roman Numerals — – introduction to Roman numerals I to L; reading and writing Roman numerals; matching Hindu-Arabic to Roman
- Addition — – 2-digit and 3-digit numbers with and without regrouping; word problems; addition of three numbers; mental math — adding 10s and 100s
- Subtraction — – 2-digit and 3-digit numbers with and without regrouping; word problems; relationship with addition; checking by adding
- Multiplication — – multiplication as repeated addition; tables 2 to 10; multiplying 2-digit numbers by 1-digit; word problems; commutative property; any number × 0 = 0, any number × 1 = itself
- Division — – division as equal sharing/grouping; using multiplication tables (÷2 through ÷10); finding quotient; word problems; relationship with multiplication; introduction to remainder
- Fractions (Introduction) — – fractions as equal parts of a whole; halves (1/2), thirds (1/3), quarters (1/4); numerator and denominator; identifying fractions from pictures; equal fractions (2/4 = 1/2)
- 2D Shapes — – circle, triangle, square, rectangle, oval, pentagon, hexagon; sides and corners (vertices); drawing on dot paper/grid; sorting by properties
- 3D Shapes — – cube, cuboid, cone, cylinder, sphere; faces, edges, vertices; recognising 3D shapes in everyday objects (tin=cylinder, die=cube, ball=sphere)
- Geometry – Lines — – straight and curved lines; horizontal, vertical, and slanting lines; drawing lines; open and closed figures
- Symmetry (Introduction) — – symmetry as a fold where both halves match; identifying symmetrical figures; drawing the line of symmetry in simple shapes
- Patterns — – extending number patterns (1, 3, 5, 7, ___); shape/colour patterns; magic triangles and squares (basic); even and odd number patterns
- Length — – centimetre (cm) and metre (m); conversion: 100 cm = 1 m; measuring with a ruler; comparing lengths; word problems
- Weight & Capacity — – kg and g: 1 kg = 1000 g; litre (L) and millilitre (mL): 1 L = 1000 mL; reading a weighing scale; choosing the right unit
- Time — – reading time to the nearest hour and half-hour; 12-hour clock; days of the week; months of the year; calendar reading; elapsed time (basic)
- Money — – Indian currency: coins and notes up to ₹100; adding and subtracting amounts; making change (basic); price lists and simple shopping problems
- Data Handling — – reading pictographs; collecting data and making a tally chart; reading a simple bar graph; answering questions: most, least, how many more
- Word Problems — – mixed word problems using all four operations; choosing the correct operation; two-step word problems
Class 4 — Mathematics Olympiad Syllabus
20 topics- Number Sense – up to 6 Digits — – reading, writing, expanding numbers up to 9,99,999; Indian place value; face value vs place value; predecessor & successor; ascending & descending order; Roman numerals up to 100
- Addition & Subtraction — – 4–5 digit numbers with regrouping; word problems; estimation; mental math strategies
- Multiplication — – 3-digit × 2-digit; multiplication by 10, 100, 1000; commutative, associative, distributive properties; word problems
- Division — – 3-digit ÷ 1-digit and 2-digit; long division; quotient and remainder; relationship with multiplication; word problems
- Factors & Multiples — – factors and multiples up to 50; even & odd; prime numbers up to 20; composite numbers; divisibility rules for 2, 3, 5, 10
- Fractions — – unit & non-unit fractions; numerator & denominator; equivalent fractions; comparing like fractions; addition & subtraction of like fractions; mixed numbers (introduction)
- Decimals (Introduction) — – tenth and hundredth place; reading & writing decimals; decimal notation for money; comparing simple decimals
- Unitary Method — – finding cost/quantity of one unit; simple direct proportion word problems
- 2D Shapes — – triangles (equilateral, isosceles, scalene, right-angled); quadrilaterals (square, rectangle, rhombus, parallelogram, trapezium); circle (centre, radius, diameter)
- 3D Shapes — – cube, cuboid, cylinder, cone, sphere; faces, edges, vertices; identifying 3D shapes in the environment
- Lines & Angles — – straight, curved, horizontal, vertical, parallel, intersecting lines; right angle; acute and obtuse angle (introduction)
- Symmetry — – lines of symmetry in 2D shapes; completing symmetrical figures; reflection basics
- Perimeter & Area — – perimeter of rectangles, squares, triangles; area of rectangles & squares using counting squares and formula
- Length — – metric units: km, m, cm, mm; conversions and word problems; measuring using a ruler
- Mass — – kg and g; conversions; reading weighing scales; word problems
- Capacity — – litres and millilitres; conversions; simple word problems
- Time — – 12-hour and 24-hour clock; conversion: hours-minutes-seconds; elapsed time; calendar problems
- Money — – Indian currency: rupees and paise; making change; bills; profit and loss (basic introduction)
- Patterns — – number patterns; geometric patterns; magic squares (introduction)
- Data Handling — – reading and drawing pictographs and bar graphs; tally marks; frequency tables; answering questions from graphs
Class 5 — Mathematics Olympiad Syllabus
20 topics- Large Numbers — – reading & writing numbers up to 8 digits (crores); Indian & International place value; expanded form; comparison & ordering
- Addition & Subtraction — – multi-digit with regrouping; word problems; estimation
- Multiplication — – 4–5 digit numbers × 2–3 digit numbers; BODMAS rule; commutative, associative, distributive properties
- Division — – 5-digit numbers ÷ 2- and 3-digit divisors; divisibility rules (2, 3, 4, 5, 6, 9, 10, 11); word problems
- Factors & Multiples — – prime and composite numbers; prime factorisation; Factor Tree; HCF; LCM; relationship between HCF and LCM
- Fractions — – proper, improper, mixed; equivalent fractions; simplification; comparison; addition & subtraction of like/unlike fractions; multiplication by whole numbers
- Decimals — – place value; comparison; conversion between fractions & decimals; addition & subtraction; multiplication by 10, 100, 1000
- Percentage — – concept of percentage; conversion between fractions/decimals and percent; finding percentage of a quantity; word problems
- Introduction to Negative Numbers — – concept of integers; number line; ordering integers; addition on the number line
- 2D Shapes — – triangles (scalene, isosceles, equilateral, right-angled); quadrilaterals (square, rectangle, parallelogram, rhombus, trapezium); circles (radius, diameter, chord, circumference)
- Angles — – acute, obtuse, right, straight, reflex; measuring with a protractor; complementary and supplementary pairs
- 3D Shapes — – cube, cuboid, cylinder, cone, sphere, pyramid; faces, edges, vertices; nets of 3D shapes
- Symmetry — – line symmetry; identifying lines of symmetry; rotational symmetry (basic concept)
- Perimeter & Area — – perimeter of rectangles and squares; area of rectangles, squares, and right triangles; word problems
- Length — – conversion within metric units (km, m, cm, mm); word problems
- Mass & Capacity — – kg, g, mg; L, mL; conversions; word problems
- Time — – 12-hr and 24-hr clocks; hours to minutes to seconds; elapsed time; calendar-based problems
- Money — – Indian currency; bills and change; profit and loss (basic); simple interest (introduction)
- Data Handling — – bar graphs, pictographs, and pie charts; tally marks; frequency tables; mean of simple data sets
- Patterns & Sequences — – number patterns; arithmetic sequences; geometric patterns; odd/even patterns
Class 6 — Mathematics Olympiad Syllabus
10 topics- Number System — – large numbers up to crores; Indian & International numeral systems; Roman numerals up to 3999; whole number properties; prime factorisation; HCF; LCM; divisibility rules (2,3,4,5,6,8,9,10,11); integers: number line, ordering, addition & subtraction
- Fractions & Decimals — – proper, improper, mixed; equivalent fractions; all four operations on fractions; decimals up to thousandths; fraction↔decimal conversion; all four operations on decimals; word problems
- Ratio & Proportion — – concept of ratio; equivalent ratios; comparison; proportion (direct and inverse – introduction); unitary method; word problems
- Basic Algebra (Introduction) — – use of literals (variables); algebraic expressions: terms, like/unlike terms, coefficients; addition & subtraction of algebraic expressions; simple linear equations in one variable; word problems leading to equations
- Basic Geometry Concepts — – points, lines, line segments, rays; angle types: acute, right, obtuse, straight, reflex, complete; complementary, supplementary, linear pair, vertically opposite angles; parallel & perpendicular lines; transversal and angle pairs (alternate, corresponding, co-interior – introduction)
- Triangles & Quadrilaterals — – triangles by sides (scalene, isosceles, equilateral) and angles (acute, right, obtuse); angle sum property; quadrilaterals: types, angle sum; properties of each quadrilateral
- Circles & Constructions — – centre, radius, diameter, chord, arc, sector, segment; bisecting a line segment; perpendicular bisector; constructing angles (30°, 45°, 60°, 90°, 120°); constructing triangles
- Mensuration — – perimeter of rectangle, square, triangle, parallelogram, rhombus; area of rectangle, square, parallelogram, triangle; combined figures; surface area & volume (introduction)
- Symmetry & 3D Shapes — – line symmetry; rotational symmetry (introduction); reflection symmetry; tessellations; 3D shapes: vertices, edges, faces; Euler's formula (V + F = E + 2)
- Data Handling & Statistics — – collection & organisation of data; tally marks; frequency table; bar graphs (reading & drawing); pictographs; introduction to pie charts; mean, median, mode of ungrouped data; range; real-life data problems
Class 7 — Mathematics Olympiad Syllabus
10 topics- Integers (Advanced) — – properties: closure, commutativity, associativity, distributive; multiplication & division of integers; BODMAS/PEMDAS; absolute value (modulus); number line operations; real-life contexts
- Fractions & Decimals (Advanced) — – multiplication & division of fractions; reciprocal; dividing by a fraction; operations with mixed numbers; fraction↔decimal↔percentage conversion; decimal approximation and rounding
- Rational Numbers — – definition: p/q where q≠0; representation on number line; commutative, associative, distributive properties for +, −, ×, ÷; simplest form; comparing & ordering; additive and multiplicative inverse
- Percentage, Profit & Loss — – percentage as fraction & decimal; percentage change (increase/decrease); cost price, selling price, profit%, loss%, marked price, discount%; simple interest (P, R, T, SI formula); compound interest (introduction)
- Ratio & Proportion (Advanced) — – compound ratio; direct & inverse proportion; variation; dividing quantities in given ratios; map scales; speed, distance, time: D = S × T; average speed; unit conversion
- Algebra – Expressions & Equations — – algebraic expressions: terms, coefficients, degree; addition & subtraction of polynomials; multiplication of monomials and polynomials; identities: (a+b)², (a−b)², (a+b)(a−b); factorisation: common factor, grouping; linear equations in one variable; word problems
- Lines & Angles — – linear pair, supplementary, complementary, vertically opposite angles; transversal with parallel lines: corresponding, alternate interior, alternate exterior, co-interior angles; angle sum of a triangle; exterior angle theorem
- Triangles & Congruence — – congruence rules: SSS, SAS, ASA, AAS, RHS; congruent vs similar triangles; properties of isosceles and equilateral triangles; Pythagoras theorem: statement, proof (basic), verification; Pythagorean triples; applications
- Mensuration — – area of triangle (½bh), parallelogram, trapezium, rhombus, general quadrilateral, compound figures; circumference (2πr) and area (πr²) of circle; surface area & volume of cuboid and cube; volume of cylinder (introduction)
- Data Handling & Probability — – mean, median, mode of grouped & ungrouped data; range; frequency distribution; bar graphs, histograms, frequency polygons, pie charts; probability: P(E) = favourable/total; complementary events; simple probability problems
Class 8 — Mathematics Olympiad Syllabus
10 topics- Rational Numbers – Advanced — – all properties (closure, commutativity, associativity, distributive, identity, inverse); representation on number line using successive magnification; infinite rationals between any two; irrational numbers (√2, √3, π); real number line; converting recurring decimals to fractions
- Powers & Exponents — – laws: aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1, a⁻ⁿ = 1/aⁿ; standard form (scientific notation); square root & cube root by prime factorisation and long division; Pythagorean triples
- Algebraic Expressions & Identities — – operations on polynomials; identities: (a+b)², (a−b)², (a+b)(a−b), (a+b+c)², (a+b)³, (a−b)³; factorisation: common factor, regrouping, identities, splitting middle term; division of polynomials; finding value using identities
- Linear Equations in Two Variables — – graph of linear equation; solutions as ordered pairs; slope; x-intercept, y-intercept; simultaneous equations: substitution, elimination, graphical method; word problems; introduction to inequalities
- Percentage, Profit/Loss & Interest — – successive percentage changes; complex profit/loss; discount, marked price; VAT/GST (introduction); Simple Interest (all variables); Compound Interest: A = P(1+r/n)^nt; half-yearly and quarterly compounding; depreciation; population growth/decay
- Number Theory & Sets — – sets: notation, types (null, singleton, finite, infinite, universal); operations (union, intersection, difference, complement); Venn diagrams for 2 and 3 sets; n(AUB) = n(A)+n(B)−n(A∩B); general form of numbers; divisibility tests – proofs
- Quadrilaterals – Properties & Constructions — – parallelogram (opposite sides equal & parallel, diagonals bisect each other); rectangle (all 90°, equal diagonals); rhombus (all sides equal, perpendicular diagonals); square; trapezium; kite; angle sum property; constructing quadrilaterals under various conditions
- Practical Geometry & 3D Shapes — – constructing quadrilaterals (4 sides + 1 diagonal; 3 sides + 2 diagonals); Euler's formula V+F−E=2; nets of 3D shapes; cross-sections; drawing on isometric dot paper; coordinate geometry: plotting points in all four quadrants
- Mensuration – Advanced — – area: Heron's formula, trapezium, general quadrilateral, circle, annulus; surface area: cube, cuboid, cylinder (lateral & total), cone, sphere; volume: cube, cuboid, cylinder; unit conversion (cm³ to litres); combined solids; cost and capacity word problems
- Data Handling & Probability — – ungrouped & grouped frequency distribution; histograms; cumulative frequency; ogive (introduction); mean (direct, deviation, step methods); median (grouped); mode (grouped); range; probability: P(A) = n(A)/n(S); complement rule; addition rule P(AUB) = P(A)+P(B)−P(A∩B); conditional probability (basic)
Class 9 — Mathematics Olympiad Syllabus
16 topics- Number Systems — Rational and irrational numbers; real numbers and the number line; representing √2, √3, √5 geometrically (successive magnification); decimal expansions (terminating, non-terminating recurring/non-recurring); operations on real numbers; laws of exponents for real bases; rationalising the denominator; surds
- Polynomials — Polynomials in one variable; degree, zeroes; Remainder Theorem; Factor Theorem; factorisation of quadratic and cubic polynomials by splitting the middle term and by the Factor Theorem; algebraic identities: (x+y+z)², (x±y)³, x³±y³, x³+y³+z³−3xyz; applications
- Linear Equations in Two Variables — General form ax+by+c=0; solution as an ordered pair; infinitely many solutions; graph of a linear equation as a straight line; equations of lines parallel to the axes; graphical representation of word problems
- ICSE Extensions — Indices, Logarithms & Expansions — Indices/exponents: laws and simplification; logarithms: definition, laws (product, quotient, power), change of base, application; expansions (a±b)², (a±b)³ and related; factorisation; simultaneous linear equations (elimination, substitution, cross-multiplication)
- Coordinate Geometry — Cartesian plane; axes, origin, quadrants; abscissa and ordinate; plotting points; coordinates of a point; sign of coordinates in each quadrant; reading a point's coordinates from a graph; distance formula and section formula (ICSE)
- Introduction to Euclid's Geometry — Euclid's definitions, axioms and postulates; the five postulates; equivalent versions of the fifth (parallel) postulate; difference between axiom and theorem; proving statements from axioms; historical note on geometry
- Lines & Angles — Basic terms; pairs of angles: complementary, supplementary, adjacent, linear pair, vertically opposite; angles formed by a transversal with parallel lines (corresponding, alternate, co-interior); angle sum property of a triangle; exterior angle theorem — with proofs
- Triangles — Congruence — Congruence criteria: SAS, ASA, AAS, SSS, RHS; properties of isosceles triangles; inequalities in a triangle (angle opposite longer side; sum of two sides > third side); proofs and riders; construction awareness
- Quadrilaterals — Angle sum property of a quadrilateral; properties of a parallelogram and their converses; the mid-point theorem and its converse; conditions for a quadrilateral to be a parallelogram; special parallelograms (rectangle, rhombus, square)
- Areas of Parallelograms & Triangles — Figures on the same base and between the same parallels; parallelograms on the same base and between the same parallels are equal in area; a triangle and a parallelogram on the same base and between the same parallels; area-based riders
- Circles — Terms: centre, radius, chord, arc, sector, segment; equal chords and their distances from the centre; the perpendicular from the centre to a chord bisects it; angle subtended by an arc at the centre and on the remaining part; cyclic quadrilaterals (opposite angles supplementary)
- Constructions — Construction of bisectors of line segments and angles; construction of a triangle given base, base angle and sum/difference of the other two sides, or perimeter and base angles; construction of 60°, 90°, 45°, 30° and their bisectors
- Areas — Heron's Formula — Area of a triangle by Heron's formula (given three sides); application to finding the area of a quadrilateral by splitting into triangles; area of composite plane figures; real-life problems (fields, plots, signboards)
- Surface Areas & Volumes — Surface area and volume of the cuboid, cube, cylinder, cone, sphere and hemisphere; curved (lateral) and total surface area; combinations of solids (awareness); conversion of units; cost and capacity problems
- Statistics — Collection and presentation of data; frequency distribution (ungrouped and grouped); class interval, class mark; bar graphs, histograms and frequency polygons; measures of central tendency: mean, median and mode of ungrouped data
- Probability — Empirical (experimental) probability; probability of an event from repeated trials/observed frequency; simple problems from coins, dice and real data; probability lies between 0 and 1; sum of probabilities of all outcomes
Class 10 — Mathematics Olympiad Syllabus
17 topics- Real Numbers — Euclid's Division Lemma and algorithm; the Fundamental Theorem of Arithmetic — statement and applications (HCF and LCM); proofs of the irrationality of √2, √3, √5; decimal expansions of rational numbers — terminating and non-terminating recurring (in terms of the denominator's prime factors)
- Polynomials — Zeroes of a polynomial; geometrical meaning of the zeroes; relationship between the zeroes and coefficients of quadratic (and cubic — awareness) polynomials; division algorithm for polynomials; forming a polynomial from given zeroes
- Pair of Linear Equations in Two Variables — Graphical method — consistent, inconsistent, dependent systems; algebraic methods — substitution, elimination, cross-multiplication; conditions for solvability from ratios of coefficients; equations reducible to a linear pair; word problems
- Quadratic Equations — Standard form ax²+bx+c=0; solution by factorisation; solution by completing the square; the quadratic formula; nature of roots from the discriminant (b²−4ac); relationship between roots and coefficients (ICSE); word problems modelled by quadratics
- Arithmetic Progressions — AP — first term, common difference; nth term aₙ = a+(n−1)d; sum of the first n terms Sₙ; applications and word problems; arithmetic mean; selection of terms in an AP (ICSE)
- ICSE Extensions — Ratio, Proportion, Matrices & Sections — Ratio and proportion (continued, mean and third proportional, componendo–dividendo); remainder and factor theorems; matrices (order, addition, subtraction, multiplication); banking (recurring deposit accounts); GST; linear inequations in one variable
- Coordinate Geometry — Distance formula; section (internal division) formula; midpoint formula; centroid of a triangle; area of a triangle from coordinates; collinearity of three points; equation of a line and slope (ICSE) — slope-intercept and point-slope forms
- Triangles — Similarity — Similar figures; criteria for similarity of triangles (AAA/AA, SSS, SAS); Basic Proportionality Theorem (Thales) and its converse; areas of similar triangles; Pythagoras Theorem and its converse — with proofs and riders
- Circles — Tangents — Tangent to a circle at a point; the tangent is perpendicular to the radius at the point of contact; number of tangents from a point; lengths of tangents from an external point are equal; construction of tangents to a circle; tangent–chord and related properties (ICSE)
- Constructions — Dividing a line segment in a given ratio; construction of a triangle similar to a given triangle (given scale factor); construction of tangents to a circle from an external point and from a point on the circle
- Introduction to Trigonometry — Trigonometric ratios of an acute angle (sin, cos, tan, cosec, sec, cot); ratios of 0°, 30°, 45°, 60°, 90°; relationships between the ratios; trigonometric ratios of complementary angles
- Trigonometric Identities — Fundamental identities: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, 1 + cot²θ = cosec²θ; proving identities; simplifying and evaluating expressions using identities
- Heights & Distances — Angle of elevation and angle of depression; solving real-life problems involving heights and distances (single and two-observer, line of sight); problems with 30°, 45° and 60°
- Areas Related to Circles — Perimeter and area of a circle; area of a sector and a segment; angle-based area calculation; areas of combinations of plane figures (circle with triangles/squares); lengths of arcs
- Surface Areas & Volumes — Surface area and volume of combinations of solids (cone + cylinder, hemisphere + cone, etc.); conversion of one solid shape to another (recasting/ melting); frustum of a cone (CBSE); cost, capacity and real-life problems
- Statistics — Mean of grouped data — direct, assumed-mean and step-deviation methods; mode of grouped data; median of grouped data; cumulative frequency and the ogive (less-than and more-than); relationship among mean, median and mode
- Probability — Classical (theoretical) probability; P(E) = number of favourable outcomes / total outcomes; sample space; complementary events; simple problems from coins, dice, cards and real-life situations; probability lies between 0 and 1
Exam Modes
Take It the Way That Works for Your School
Offline, At School
Conducted at school, coordinated through your school's exam cell — no individual booking needed.
Online, AI-Proctored
Appear individually from home — proctored by AI, so your school doesn't have to run it for you.
Mathematics Olympiad · Enrolment Fee
₹299/ subject
The same flat fee across every Academic Olympiad and Skills Lab subject. No slabs, no surprises — and a free mock test before you commit to anything.
Free Mock Test
3 Bonus Mock Tests
Percentage-Based Report
Certificate for Every Student
How It Works
Four Steps, Starting Free
1
Register Free
Thirty seconds, no payment involved.
2
Take the Free Mock Test
See the question style before deciding anything.
3
Enrol for ₹299
Choose offline (school) or online, AI-proctored.
4
Appear & Get Your Report
A percentage-based report, certificate, and medal for qualifiers.
Get Started
Start With the Free Mock Test
No payment needed to try it. Enrol for the full Mathematics Olympiad — ₹299 — whenever you're ready.
- ✓ One free mock test, no cost
- ✓ Flat ₹299 to enrol in the full exam
- ✓ Offline at school, or online with AI proctoring
- ✓ Percentage-based report, not a percentile rank
- ✓ Certificate for every student, medals for qualifiers
Register for the Free Mock Test
Creates your IGNITIA account — you'll use this login for the mock test and later enrolment.
What You Walk Away With
Recognition That Doesn't End at the Result
Medals for Winners
Students who meet the medal-qualifying criteria are recognised with a medal.
Certificate for Every Student
Every child who appears receives a participation certificate.
Recognition for Schools
Principals and coordinators receive mementos, plus digital PR and social recognition.
Explore More
Explore the Rest of the IGMO Syllabus & Other Olympiad Subjects
IGNITIA offers a full Olympiad track alongside Mathematics — explore the rest, or dive into Skills Lab.
IGSO
Science Olympiad
Class-wise Science syllabus, Classes 1–10.
IGEOEnglish Olympiad
Class-wise English syllabus, Classes 1–10.
IGKOGK & Reasoning
Class-wise GK syllabus, Classes 1–10.
UnifiedUnified Olympiad
All subjects, one combined paper.
Skills LabSkills Lab
Aptitude, Analytical, AI & more.
Questions People Ask
Mathematics Olympiad, Answered Directly
Application-based questions in number sense, computation, patterns, logical reasoning and real-world problem-solving — built to test how a child thinks, not just what they've memorised, for Classes 1–10.
A flat ₹299 for the Mathematics Olympiad, the same fee across every Academic Olympiad and Skills Lab subject. A free mock test is included so you can try it before enrolling.
Yes — the online mode is AI-proctored and can be taken individually from home. The offline mode is conducted only at school, coordinated through your school's exam cell.
A percentage-based performance report (not a percentile rank), a certificate, and a medal for students who meet the medal-qualifying criteria — plus bonus mock tests you can retake through the year.
Yes. Every subject includes one free mock test, so your child can see the question style before you pay anything.
Classes 1 through 10.
