Shunya · Maths labs for class 9–12
Maths you can drag, plot and simulate
Interactive labs
Pick a topic. Every lab has live readouts, guided lessons and questions to test yourself.
Function & Graph Explorer
- Line: all forms of the equation
- Quadratic
- Polynomial
- Any function you type
- Pair of lines, angle & bisectors
- Coordinate tools & triangle centres
- Locus of a moving point
Trigonometry & Height-Distance
- Unit circle
- Trig graphs
- Typed graphs: sec, cosec, cot, inverses
- Trig equations & general solutions
- Compound angles & identities
- Right triangle
- Heights & distances
- Word problems
Statistics & Probability
- Probability & conditional probability
- Coins & dice
- Bag of balls
- Bayes' theorem
- Random variable: mean & variance
- Mean, median, mode
- Grouped data
- Binomial
- Poisson
- Normal curve
Geometry & Constructions
- Lines & angles
- Triangles & centres
- Congruence
- Similar triangles
- Pythagoras
- Quadrilaterals
- Constructions
Circles & Conic Sections
- Circle theorems
- Arcs & sectors
- Circle & line
- Parabola
- Ellipse
- Hyperbola
- Eccentricity
Calculus Lab
- Limits, ∞ & L'Hôpital
- Derivative
- Tangents, normals, implicit & parametric
- Rolle & mean value theorem
- Maxima & minima
- Optimisation
- Integrals
- Area & volume of revolution
- Integration by substitution & by parts
- Differential equations
Matrices & Transformations
- Transformations
- Composition
- Arithmetic
- Determinant & inverse
- Linear systems
Maths Explainers
- Number systems
- Complex numbers, locus & rotation
- Counting & binomial theorem
- Circular arrangements, stars & bars, derangements
- Sequences & series
- Sets & Venn diagrams
- Mathematical reasoning: truth tables, quantifiers
- Linear programming
Mensuration & 3D Shapes
- Plane figures
- 3D solids
- Nets & surface area
- Combine & recast
- Cone, sphere, cylinder
Vectors & 3D Geometry
- Vectors in the plane
- Vectors in space & triple products
- Lines & planes, skew lines
- Point & line, three points, family of planes
Vedic Math Shortcuts
- Multiply by 11
- Squares ending in 5
- Nikhilam (near a base)
- Vertically & crosswise
- Divisibility checks
Learn, practise and explore
Lessons ship inside every lab. These pages arrive alongside them.
50 Maths Myths & Paradoxes
0.999… = 1, dividing by zero, and other things that break your intuition.
Maths Quiz
Class-wise questions with explanations.
Maths Games
Quick drills to make it stick.
Formula Sheet
Every formula, with where it is used.
History
25 mathematicians and ideas, from Pythagoras to linear programming.
Why "Shunya"? Shunya (शून्य) is Sanskrit for zero — the idea that made modern mathematics possible. Zero is why and hold for every number. The labs are built the same way as iLabs' chemistry and physics labs: real formulas running live, a lesson for every class, and nothing to install.