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Mathematics · Classes 6–12

Mathematics Lab

Parameter-driven simulations of the NCERT laboratory-manual practicals. Set the variables, read the instruments, record observations and plot the graph.

54 live simulations54 NCERT practicals54 guided experiments
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Live simulations

Fully simulated NCERT practicals with guided steps, observations, graphs and reports.

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Class 6
Mathematics NCERT manual

Factors and multiples with arrays

Arrange counters into rectangles.

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Class 6
Mathematics NCERT manual

Perimeter and area on grid paper

Compare shapes with the same area.

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Class 7
Mathematics NCERT manual

Area of a parallelogram and circle

Rearrange cut-outs into rectangles.

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Class 7
Mathematics NCERT manual

Exterior angle of a triangle

Show it equals the sum of the two opposite interior angles.

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Class 8
Mathematics NCERT manual

Square numbers and patterns

Find squares and square roots from patterns.

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Class 9
Mathematics NCERT manual

Algebraic identities with cut-outs

Verify (a + b)², (a − b)² and a² − b².

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Class 9
Mathematics NCERT manual

Angles subtended by an arc

The angle at the centre is double the angle at the circle.

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Class 9
Mathematics NCERT manual

Experimental probability

Toss coins and compare results with theory.

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Class 9
Mathematics NCERT manual

Parallelogram and rectangle area

On the same base and between the same parallels.

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Class 9, 10
Mathematics NCERT manual

Pythagoras by area

Verify a² + b² = c² by rearranging squares.

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Class 9
Mathematics NCERT manual

Square root spiral

Represent √2, √3, √4… on the number line.

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Class 9
Mathematics NCERT manual

Surface area with nets

Find the surface area of a cylinder and a cone.

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Class 10
Mathematics NCERT manual

Area of a circle by paper cutting

Rearrange sectors into a near-rectangle.

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Class 10
Mathematics NCERT manual

Arithmetic progression with strips

Check whether a list forms an AP.

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Class 10, 11
Mathematics NCERT manual

Quadratic graph explorer

See how a, b and c move the parabola, its vertex and its roots.

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Class 10
Mathematics NCERT manual

Tangents from an external point

Show that they are equal in length.

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Class 10, 11
Mathematics NCERT manual

Unit circle and trig ratios

Read sin and cos as coordinates on the unit circle.

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Class 10
Mathematics NCERT manual

Volume of a cone

Show it is one-third of a cylinder of the same base and height.

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Class 11
Mathematics NCERT manual

Conic sections

Get a circle, ellipse, parabola and hyperbola by cutting a cone.

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Class 11
Mathematics NCERT manual

Number of subsets

Verify that a set with n elements has 2ⁿ subsets.

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Class 12
Mathematics NCERT manual

Definite integral as a sum

Estimate the area under a curve with strips.

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Class 12
Mathematics NCERT manual

Derivative as slope

Watch the tangent slope change along a curve.

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Class 12
Mathematics NCERT manual

Increasing and decreasing functions

Read them from the slope of the graph.

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Class 12
Mathematics NCERT manual

Linear programming

Find the optimal corner point of the feasible region.

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Class 12
Mathematics NCERT manual

Maximum volume of an open box

Cut squares from a sheet and find the best size.

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Class 12
Mathematics NCERT manual

Types of relations

Check reflexive, symmetric and transitive relations.

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