SOF IMO

Verbal and Non-Verbal Reasoning

Mixed verbal and figure-based reasoning patterns.

Number and Alphabet Series

Find the next or missing term in a number or alphabet series.

Analogy and Classification

Identify the matching pair or odd one out among words, numbers and figures.

Coding-Decoding

Encrypt or decode words and numbers using a given rule.

Mathematical Operations

Symbol substitution, BODMAS and operator-based logic problems.

Direction Sense Test

Compass-based movement and final position/distance problems.

Blood Relations

Family tree and pointing-style relationship problems.

Ranking and Arrangement

Linear seating, ranks from top/bottom and order-of-arrangement problems.

Embedded and Hidden Figures

Spot a smaller figure embedded in a complex one.

Mirror and Water Images

Mirror and water reflections of letters, numbers and figures.

Paper Folding and Cutting

Predict appearance of paper after folding, punching and unfolding.

Cubes and Dice

Cube colouring, opposite faces of dice and counting cubes.

Matrix and Pattern Completion

Complete a 3×3 matrix or repeating pattern with the right element.

Number Systems

Real numbers, rational/irrational numbers, decimal expansions and laws of exponents for real numbers.

Polynomials

Zeroes, remainder theorem, factor theorem and algebraic identities.

Coordinate Geometry

Cartesian plane, plotting points, distance formula and section formula.

Linear Equations in Two Variables

Solution graphs, substitution, elimination and cross-multiplication methods.

Introduction to Euclid's Geometry

Euclid's axioms, postulates and basic geometrical proofs.

Lines and Angles

Pairs of angles, parallel lines, transversals and angle sum properties.

Triangles

Congruence criteria, properties of isosceles triangles and inequalities in a triangle.

Quadrilaterals

Properties of parallelograms, rhombus, rectangle, square and mid-point theorem.

Areas of Parallelograms and Triangles

Figures on the same base and between same parallels — equal-area theorems.

Circles

Chords, arcs, angles subtended, cyclic quadrilaterals and tangent properties.

Constructions

Compass and straight-edge constructions of bisectors, triangles and tangents.

Heron's Formula

Area of a triangle from its three sides and applications to quadrilaterals.

Surface Areas and Volumes

Cuboid, cube, cylinder, cone, sphere and hemisphere — surface area and volume.

Statistics

Mean, median, mode of grouped/ungrouped data and graphical representation.

Probability

Experimental and theoretical probability of simple events.

Real Numbers (Class 10)

Euclid's division lemma, fundamental theorem of arithmetic and irrational numbers.

Quadratic Equations (Class 10)

Solution by factorization, completing the square, quadratic formula and discriminant.

Arithmetic Progressions (Class 10)

nth term, sum of n terms and word problems on APs.

Introduction to Trigonometry (Class 10)

Trigonometric ratios, complementary angles, identities and heights and distances.

Word Problems Application

Real-life word problems based on the math syllabus.

Percentage, Profit and Loss

Applied percentage, profit/loss, discount and successive percentages.

Time, Speed and Distance

Trains, boats and streams and average-speed problems.

Time and Work

Work efficiency, pipes-and-cisterns and joint-work problems.

Simple and Compound Interest

SI/CI computations and instalment-based problems.

Higher Order Mathematical Thinking

HOTS questions extending IMO math topics into multi-step proofs.

Problem Solving

Mixed-topic numerical problems that combine reasoning and math.

Applied Geometry and Mensuration

Multi-shape area/volume problems from real-life contexts.

Data Handling and Statistics

Interpret tables, graphs and probability scenarios.