Module 1
Real Numbers
Apply Euclid's division algorithm, fundamental theorem of arithmetic, and prove irrationality at Olympiad level.
Class 10 Olympiad Maths — Free Worksheets, Solutions & Notes
Class 10 Olympiad Maths is board-exam territory. Real numbers, quadratic equations, trigonometry, circles, surface areas and volumes, and statistics are tested in depth.
Last updated: 5 May 2026
About Class 10 Olympiad Maths
The Class 10 Olympiad Maths syllabus on SparkEd covers 13 chapters aligned to the latest Olympiad curriculum, spanning number systems, algebra, geometry, mensuration, data and statistics, trigonometry and coordinate geometry. Every chapter on this page links to a topic guide with concept notes, a free PDF worksheet at three difficulty levels, and an interactive practice module with instant feedback.
Class 10 maths builds the foundation that the next year's chapters depend on, so consistent weekly practice matters more than last-minute cramming. Class 10 Olympiad Maths is board-exam territory. Real numbers, quadratic equations, trigonometry, circles, surface areas and volumes, and statistics are tested in depth.
How to use this page: open a chapter's Topic Guide for the concept refresher, switch to Practice for graded questions, and download the PDF worksheet for offline use. Each chapter has around 60 questions across easy, medium, and hard sets — enough material for a full revision cycle leading up to school assessments and Olympiad board-aligned tests.
All Olympiad Topics for Class 10
Module 2
Polynomials
Find zeros and verify relationships between zeros and coefficients; divide polynomials and solve competition problems.
Module 3
Pair of Linear Equations in Two Variables
Solve systems of linear equations using multiple methods; analyze consistency and apply to challenging word problems.
Module 4
Quadratic Equations
Solve quadratics by factoring, completing the square, and quadratic formula; analyze discriminant and nature of roots.
Module 5
Arithmetic Progressions
Find nth terms and sums of APs; solve competition-level sequence problems and pattern-based challenges.
Module 6
Triangles
Apply similarity criteria (AA, SAS, SSS), BPT, and Pythagoras theorem in advanced geometry problems.
Module 7
Coordinate Geometry
Apply distance formula, section formula, and area of triangles; solve locus and collinearity problems.
Module 8
Trigonometry
Apply trigonometric ratios, prove identities, and solve heights and distances problems at competition level.
Module 9
Circles
Prove and apply tangent properties, solve problems on tangent from an external point, and chord-tangent relations.
Module 10
Surface Areas and Volumes
Find surface area and volume of combined solids, frustum of a cone, and solve conversion problems.
Module 11
Statistics
Calculate mean, median, mode for grouped data using various methods; solve cumulative frequency problems.
Module 12
Probability
Compute theoretical probability, solve problems on complementary events, and tackle Olympiad-level probability puzzles.
Module 13
Logical Reasoning
Solve analogy, classification, coding-decoding, number series, figure patterns, direction sense, Venn diagrams, mirror images, and paper folding problems.
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Frequently Asked Questions
How many chapters are in Class 10 Olympiad Maths?+
The Class 10 Olympiad Maths curriculum on SparkEd covers 13 topics aligned to the latest syllabus. Each topic includes practice questions across multiple difficulty levels.
Where can I practise Class 10 Olympiad Maths online for free?+
SparkEd offers free, chapter-wise practice for every Class 10 Olympiad topic. Just pick a topic above and start solving — no signup needed to try.
Are there free worksheets for Class 10 Olympiad Maths?+
Yes. Every topic on SparkEd comes with a downloadable PDF worksheet containing questions at easy, medium, and hard levels. You can generate a fresh worksheet each day.
Is SparkEd aligned to the latest Olympiad syllabus for Class 10?+
Absolutely. Our curriculum team maps every topic to the current Olympiad syllabus and NCERT textbook chapters so you can be confident you are practising the right material.
How should I prepare for Class 10 Olympiad Maths exams?+
Start by revising each chapter's key concepts, then solve the practice questions on SparkEd at increasing difficulty. Download worksheets for offline revision and use the AI coach for doubt-clearing.