National Maths Olympiad – Syllabus

Numbers

  • Shapes and space, numbers name (1-50), addition, subtraction (two digits), data handling, time, measurement, patterns, calendar, grouping, how many, odd one out, spatial understanding, money, lengths, weights, and comparison.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

  • Numbers name (1-100), addition, subtraction (two digits), counting in group, multiplication, division, data handling, geometrical shapes, measurement, patterns, grouping, how many, odd one out, spatial understanding, money, time & calendar, temperature, pictographs, lengths, weights and comparison, capacity, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

  • Geometrical shapes, numerals, number names and number sense (4-digit numbers), computation operations – addition, subtraction, multiplication and division (3 digits), fractions, length, weight, capacity, temperature, time, money, calendar, geometry, data handling, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

  • Numerals and number names, number sense (more than 4-digit numbers), computation operations, fractions, length, weight, capacity, time operation , money, geometry, perimeter of various shapes, area of triangle, rectangle and square, symmetry, conversions, data handling, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning
  • Numerals, number names and number sense (7 and 8digit numbers), computation operations, fractions and decimals, measurement of length, weight, capacity, time, temperature and money, conversions, geometrical shapes and solids, angles, perimeter of various shapes, area of rectangle, square , rhombus, trapezium, calendar symmetry, data handling, decoding reasoning, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

  • Knowing our numbers, whole numbers, HCF and LCM, Parallel lines, Angles (Supplementary/Complementary, Linear Pair), under-standing elementary shapes, integers, fractions, decimals, data handling, conjecture – Brocard, Collatz Numbers – Kaprekar number, Kaprekar constant, Self Number, Triangular to Hexagonal number, Virhanka Number, mensuration, algebra, ratio and proportion, symmetry, practical geometry, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

  • Integers, fractions and decimals, exponents and powers, algebraic expressions, arithmetic expression, Palindrome and Ramanujan – Hardy Number, simple linear equations, lines and angles, Polygons, Triangle and quadrilateral property, triangle inequality, comparing quantities, the triangle and its properties, symmetry, congruence of triangles, rational numbers, perimeter and area, data handling, Polygon, visualising solid shapes, Prime and Composite numbers, SI and CI, practical geometry, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

  • Rational numbers, squares and square roots, cubes and cube roots, exponents and powers, comparing quantities, algebraic expressions and identities, linear equations in one variable, Factorization, understanding quadrilaterals, constructions, mensuration, visualising solid shapes, Races and Games, Alphametics or Cryptarithmetics, data handling, direct and inverse variations, factorisation, introduction to graphs, and Three dimension geometry – Cube, Cuboid, Cylinder, Sphere, Cone, Time and distance, Divisibility rule- Wilson and Fermat Little Theorem, Time and Work, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

  • Real numbers, polynomials, linear equations in two variables, Factorization, Cyclic Factorization, Remainder and Factor Theorem, coordinate geometry, geometry, lines and angles, triangles, quadrilaterals, circles, area, surface area and volumes, statistics, and probability. Apollonius and Stewart Theorem, Circle Theorem, Brahmagupta’s cyclic quadrilateral theorem, Mid point theorem, Butterfly theorem Centroid, Orthocentre and Circumcentre, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

  • Real numbers, polynomials, pair of linear equations in two variables, quadratic equation, arithmetic progressions, coordinate geometry, geometry, triangles, Principle of inclusion and exclusion, Pigeon hole principle, Greatest integer and least integer functions, introduction to trigonometry, trigonometric identities, height and distances (angle of elevation, angle of depression), area related to circles, surface area and volumes of 3D figure including Pyramid and Prism statistics, and probability, Alternate Segment Theorem, Tangent Theorem, Inequation, Ceva Theorem, Internal and External bisector theorem, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

Numbers

  • Sets, relations and functions, trigonometric functions, principle of mathematical induction, complex numbers and quadratic equations, linear inequalities, permutations and combinations, binomial theorem, sequences and series, straight lines and Pair of straight line, conic sections, introduction to three-dimensional geometry, limits and derivatives, mathematical reasoning, statistics, and probability. Piegon Hole principle, Logarithm, Diophantus Equation, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

  • Relations and functions, inverse trigonometric functions, matrices, determinants, continuity and differentiability, applications of derivatives, integrals, application of integrals, differential equations, vector triple product and dot product, three-dimensional geometry, linear programming, and probability, Counting techniques, Theorem and Paradox, etc.
  • Higher-Order Thinking Skills (HOTS) Questions
  • General Aptitude & Logical Reasoning

Hours

10am — 6pm

Have Questions?

Contact Us

2026 © Mathematics Research Foundation. All Rights Reserved.

error: Content is protected !!