▶ Math Labs & Calculators
203 hands-on tools: 46 full calculators (EMI, GST, BMI, quadratic solver…) plus 157 slider-driven mini-labs.
🧰 Full calculators & tools
Type your own numbers : no scientific-notation drift.
Finance & Money
EMI Calculator
Loan EMI by principal, rate, tenure. See full amortisation.
Compound Interest
Year-by-year growth of an investment with compounding.
Simple Interest
SI = (P × R × T) / 100 with maturity value.
SIP Calculator
Mutual-fund SIP growth + invested vs gained chart.
GST Calculator
Add or remove 5/12/18/28% GST with split into CGST + SGST.
Discount / MRP
MRP, discount %, final price; reverse-compute any two.
Tip & Bill Split
Restaurant bill + tip% split between N people.
Currency Converter
Live daily rates + editable table; INR ↔ USD/EUR/GBP/JPY/AED.
Income Tax (New Regime)
Slab-wise tax on a salary income (FY rates, illustrative).
Measurement
Length Converter
mm/cm/m/km/inch/ft/yard/mile : convert any to any.
Weight Converter
mg/g/kg/tonne/oz/lb.
Volume Converter
ml / L / m³ / gallon / cup / tablespoon.
Temperature Converter
°C ↔ °F ↔ K with linked sliders.
Speed Converter
m/s ↔ km/h ↔ mph ↔ knot.
Area Converter
m² / ft² / acre / hectare / bigha.
Time Converter
seconds / minutes / hours / days / weeks.
Health & Daily life
Numbers & arithmetic
Fraction Calculator
Add/sub/mul/div two fractions; auto-simplify.
Percent Calculator
p% of n; n is what % of m; % change a→b.
Ratio & Proportion
Split a quantity in a given ratio; find missing term.
GCD & LCM
Up to 5 numbers; shows Euclidean steps.
Prime Factorisation
Factor tree + prime power form for any integer ≤ 10⁹.
Base Converter
Convert integers between binary, octal, decimal, hex.
Rounding & Significant Figures
Round to N decimals or N significant figures.
Algebra
Quadratic Solver
Solve ax² + bx + c = 0; nature of roots; vertex; graph.
Linear System (2 × 2)
Solve two equations in two unknowns with steps.
Linear System (3 × 3)
Cramer's rule with full determinant working.
Polynomial Evaluator
Type a polynomial and an x; get value + derivative.
Binomial Expansion
Full expansion of (a + b)ⁿ with each term and coefficient.
Geometry
Triangle Solver
SSS / SAS / ASA / SSA : all 3 sides, 3 angles, area.
Right Triangle Helper
Pythagoras, sin/cos/tan, area, perimeter.
Circle: everything
Radius, diameter, circumference, area, sector, chord.
Regular Polygon
Interior angles, area, apothem for any n-gon.
Rectangle / Square
Area, perimeter, diagonal; reverse-solve from any two.
3-D Solid Volume / SA
Cuboid, cylinder, cone, sphere, hemisphere, frustum.
Trigonometry
Statistics
Probability
🎚 Slider mini-labs (by class)
Class XII 25 labs
∫₀^a sin x dx = 1 − cos a
Slide a , the running area under sin x bounces between 0 and 2 because of cancellation.
∫₀^a x² dx = a³/3
Slide the upper limit a; the definite integral grows cubically.
1-D LP: Max p·x s.t. x ∈ [0, M]
A single-variable LP. The optimum sits at an endpoint of the feasible interval , see which one.
2-D Dot Product a·b
Set components of vectors a and b in 2-D. See magnitudes, dot product and angle between them.
2×2 Matrix Times a Vector
Set entries of a 2×2 matrix and a 2-vector. See the matrix-vector product compute live.
3-D Line: Direction Ratios → Cosines
Set direction ratios (a, b, c) of a 3-D line. Convert to direction cosines (l, m, n).
3-D Point Distance from Origin
Slide x, y, z components and read off the Euclidean distance √(x²+y²+z²).
Angle Between Two Vectors
Use the dot-product formula cos θ = (a·b)/(|a||b|) and report θ in degrees.
Bayes' Rule: Prior → Posterior
Pick the prior P(H), sensitivity P(E|H) and false-positive rate P(E|¬H). Read the posterior.
Binomial Distribution Mean & Variance
n trials, success probability p. See mean np, variance np(1−p) and the chance of exactly k successes.
Continuity of a Piecewise Function
Piecewise: f(x) = x + a for x < 0 and bx + 1 for x ≥ 0. Tune a, b until the left and right limits match.
Cubic with Adjustable Coefficients
Shape a cubic y = ax³ + bx² + cx + d. Find critical points and use the second derivative test.
Determinant of a 2×2 Matrix
Set the four entries of a 2×2 matrix; the determinant updates instantly.
Distance of Origin from a Plane
Plane ax + by + cz = d. Distance from origin is |d| / √(a² + b² + c²).
dy/dx = k y, Solution y = y₀ e^(kx)
Pick growth/decay rate k and initial value y₀; the exponential curve responds.
Inverse of a 2×2 Matrix
When det ≠ 0, the inverse exists: swap diagonals, negate off-diagonals, divide by det.
Inverse Trig: y = a · arcsin(b x)
Domain of arcsin is [-1, 1]. Scale x with b and watch where the curve is defined.
Logistic Curve y = L / (1 + e^(−k(x − x₀)))
S-shaped growth bounded by capacity L. Set steepness k and midpoint x₀.
Normal Bell Curve N(μ, σ²)
Shift μ and resize σ. Peak height and spread react together , area under curve stays 1.
Product Rule: (x^a · e^(bx))′
Watch the product rule in action on f(x) = x^a · e^(bx). The derivative has two terms.
Riemann Sum: Area Under y = x²
Choose interval [0, a] and rectangle count n. Compare left-endpoint sum with the exact integral.
Tangent Line at x₀ on y = x³ − 3x
A cubic with two turning points. Slide x₀ to see the tangent rotate and the slope go to zero at extrema.
Trapezoidal Rule on sin x
Approximate ∫₀^a sin x dx by stacking n trapezoids. Compare to the exact value 1 − cos a.
Unit Vector of a 2-D Vector
Scale a vector to length 1 by dividing by its magnitude. Components show the direction cosines.
y = ln(x) and its Tangent
Drag x₀. The tangent slope is 1/x₀ , and the tangent line is y = ln(x₀) + (x − x₀)/x₀.
Class XI 24 labs
AM ≥ GM Inequality
Choose two positive numbers , the arithmetic mean is always at least the geometric mean.
Arithmetic Progression: nth term & sum
Set first term a, common difference d and position n. Get a_n and S_n instantly.
Binomial Coefficient C(n, r)
Pick n and r , see C(n, r), the symmetric partner C(n, n − r) and the central row max.
Circle (x − h)² + (y − k)² = r²
Move the center (h, k) and resize the radius r. Both halves of the circle are plotted.
Complex Number in Polar Form
Set real and imaginary parts of z = x + iy. See modulus |z| and argument arg(z) live.
Distance Between Two Points
Pick two points in the plane; see the Pythagorean distance and midpoint coordinates.
Ellipse: (x/a)² + (y/b)² = 1
Drag semi-axes a and b , the upper half of the ellipse redraws. a > b is horizontal; a < b is vertical.
Function Family Mixer
Mix linear, quadratic, modulus and reciprocal pieces with coefficient sliders to see compound shapes.
Geometric Progression: nth term & sum
First term a, common ratio r, position n. Try |r| < 1 vs |r| > 1 for growth or decay.
Hyperbola (x/a)² − (y/b)² = 1
Two branches and oblique asymptotes , adjust a, b to see the shape stretch.
Limit of sin(x)/x near 0
Zoom h toward 0 and watch sin(h)/h hug the value 1. The famous limit, made visible.
Line Through Two Points
Choose two points (x₁,y₁) and (x₂,y₂); the line and its slope update automatically.
Mean, Variance, SD of Five Numbers
Set five data values; mean, variance and standard deviation update instantly.
Parabola y² = 4ax
Slide the parameter a , the parabola opens right (a > 0) or left (a < 0).
Permutations vs Combinations
Pick n and r. Compare P(n,r) (order matters) with C(n,r) (order does not).
Quadratic Roots & Discriminant
Slide a, b, c of ax² + bx + c. Discriminant tells you real vs complex roots.
Set Cardinality: |A ∪ B|
Pick sizes of A, B and their intersection , watch how union and difference cardinalities update.
Sin + Cos + Tan Mixer
Blend sin, cos and tan with three weight sliders. Useful for spotting Fourier-like sums.
Slope–Intercept Line: y = mx + c
Drag m and c , see how slope tilts and intercept slides the line.
Tangent Slope on y = sin x
Slide a point along sin x. The tangent uses slope cos(x₀) , confirm d/dx sin x = cos x.
Tangent Slope on y = x²
Slide a point x₀ along y = x². The tangent line uses slope 2x₀ , see it follow the curve.
y = A cos(ωx + φ)
Cosine version , same controls as sine, but the wave starts at its peak when φ = 0.
y = A sin(ωx + φ)
Tune amplitude, angular frequency and phase and see the sine wave change shape.
y = A tan(ωx + φ)
Vertical asymptotes appear wherever the argument equals π/2 + nπ , try shifting φ.
Class X 15 labs
Area of a Triangle from Vertices
Place three vertices and compute the signed and unsigned triangle area.
Arithmetic Progression: Term & Sum
Choose first term a, common difference d, and term count n; get nth term and total sum.
Class-Mark Method: Mean of Grouped Data
Three class-intervals share a common width. Slide their frequencies to see the assumed-mean shift.
Distance Between Two Points
Drag two points A(x1,y1) and B(x2,y2) and watch the distance update.
Frustum of a Cone
Slide the two radii and height of a frustum; read slant height, CSA, TSA, and volume.
Heights and Distances
From distance d and elevation angle, compute the tower's height.
Hemisphere on Top of a Cylinder
A common composite: a cylindrical vessel capped by a hemisphere. Compute combined surface area and capacity.
Pair of Linear Equations: Intersection Point
Two lines a1 x + b1 y = c1 and a2 x + b2 y = c2 , see where they meet (or don't).
Polynomial Remainder Theorem
Divide p(x) = x^3 + bx^2 + cx + d by (x - k) and read off the remainder p(k).
Probability: Drawing from a Bag
A bag has R red and B blue balls; compute the probability of each colour on one draw.
Quadratic Roots and Discriminant
Tune a, b, c and see the nature of roots flip between real/distinct, repeated, or complex.
Section Formula (Internal Division)
Divide segment AB in ratio m:n internally and read off the dividing point P.
Tangent Length from an External Point
From a point at distance d from the centre of a circle of radius r, find the tangent length.
Trig on the Unit Circle
Sweep an angle in degrees and read off sin, cos, tan instantly.
Trig Ratios in a Right Triangle
Set opposite and adjacent legs; compute hypotenuse and all six trig ratios.
Class IX 15 labs
Circle: Area, Circumference, Sector
Spin a radius and a sector angle to see area, circumference, sector area, and arc length react.
Cone: Slant, Surface Area, Volume
Slide r and h; slant height, CSA, TSA, and volume update together.
Cubic Polynomial Explorer
Shape y = ax^3 + bx^2 + cx + d and observe up-to-three real zeros.
Cylinder: Surface Area and Volume
Pick radius r and height h to compute CSA, TSA, and volume of a right circular cylinder.
Factor Theorem Checker
Pick a candidate k. Is (x - k) a factor of p(x) = x^3 + bx^2 + cx + d?
Heron's Formula Area
Enter the three sides; Heron computes the area without any height.
Irrational Numbers on the Number Line
Pick a positive integer n and locate sqrt(n) precisely on the number line.
Linear Equation in Two Variables
Visualize ax + by + c = 0 as a straight line by tuning a, b, c.
Linear Polynomial Explorer
Adjust the slope m and intercept c of y = mx + c to see the line tilt and slide.
Mean, Median, Mode of Five Numbers
Slide five data values and watch mean, median, and range respond.
Plot a Point in the Cartesian Plane
Slide x and y and see where the point lands. Which quadrant is it in?
Probability with a Single Die
Pick a target value k; see P(roll = k), P(roll <= k), P(roll > k) on a fair six-sided die.
Quadratic Polynomial Explorer
Tune a, b, c and watch y = ax^2 + bx + c bend and shift.
Sphere: Surface Area and Volume
Increase the radius and watch surface area grow as r^2 while volume grows as r^3.
Triangle Inequality Checker
Pick three side lengths a, b, c. Do they form a valid triangle?
Class VIII 15 labs
Common Factor Pull-Out
For a x + a y, slide a, x, y and see the factored form a (x + y).
Compound Interest
Compare simple vs compound interest as you change principal, rate and time.
Cone Volume and Surface
Slide radius and height of a cone; see its slant, volume and surface area.
Cubes and Cube Roots
Slide n for its cube and N for its cube root.
Cuboid Volume and Surface
Slide length, breadth and height to see volume and surface area.
Cylinder Volume and Surface
Choose radius and height; see volume, lateral surface and total surface area.
Difference of Two Squares
Check that a^2 - b^2 always equals (a - b)(a + b).
Direct Proportion
When y = k x, slide the constant k and see how y grows with x.
Discount and Selling Price
Set marked price and discount percent; see selling price and savings.
Exponent Rules
Verify a^m * a^n = a^(m+n) and (a^m)/(a^n) = a^(m-n) by sliders.
Inverse Proportion
When x y = k, slide k and see y fall as x grows.
Rational Number on the Line
Pick numerator p and denominator q; locate p/q on the number line.
Scientific Notation
Build a number as m x 10^k and see its decimal value.
Squares and Square Roots
Slide n to see its square and slide N to see its square root.
Two-Variable Linear Graph
Plot a x + b y = c by isolating y. Slide a, b, c.
Class VII 10 labs
Decimal Place Value
Build a decimal from its tens, ones, tenths and hundredths digits.
Integer Multiplication and Division
Slide two signed integers and watch their product and quotient.
Linear Plot y = m x + c
Slide slope m and intercept c, watch the line tilt and shift.
Multiply and Divide Fractions
Slide two fractions and see their product and quotient.
Percent of a Number
Compute p% of n by sliding both.
Positive Integer Powers
Slide a base a and exponent n and watch a^n grow.
Ratio Splitter
Split a total T between two people in the ratio a:b.
Simple Interest
Slide principal, rate and time to see interest and final amount.
Solve a Linear Equation
Slide a, b, c to solve a x + b = c. The solution is x = (c - b)/a.
Triangle Angle Sum
Choose two angles A and B; the third C makes the angles add to 180.
Class VI 10 labs
Add and Subtract Fractions
Slide two fractions a/b and c/d. See their sum and difference as decimals.
Angle Explorer
Pick an angle from 0 to 360 and see its complement, supplement and reflex.
Equivalent Fractions
Pick a fraction p/q and a multiplier k. See an equivalent fraction (kp)/(kq).
GCD and LCM Explorer
Slide two numbers and watch their greatest common divisor and lowest common multiple.
Integer Add and Subtract
Slide two integers and see their sum and difference jump on the number line.
Parallelogram Area
Slide base and perpendicular height to see a parallelogram's area.
Prime Number Detector
Pick a number and check how many divisors it has. Primes have exactly two.
Ratio Comparator
Compare two ratios a:b and c:d as decimals to see which is larger.
Rectangle Perimeter and Area
Drag length and breadth to see how a rectangle's perimeter and area change.
Triangle Area
Slide base and height to see how a triangle's area is half base times height.
Class V 10 labs
Adding Decimals
Add two decimals; align the points.
Area of an L-Shape
Combine two rectangles to find the L-area.
Decimals: Tenths and Hundredths
Build a decimal from tenths and hundredths.
Factor Explorer
Test if d divides n cleanly.
Mean of Three Numbers
Find the average of three scores.
Multiples Explorer
Pick a number, see its first multiples.
Percent of a Number
What is p% of n?
Prime Number Checker
Is your number prime?
Symmetry Lines of a Regular Polygon
How many symmetry lines does a regular polygon have?
Volume of a Cuboid
Multiply length, width, height.
Class IV 9 labs
Area of a Rectangle
Count unit squares inside a rectangle.
Fraction Comparer
Which fraction is bigger?
Fraction of a Whole Number
Find p/q of a number , like 3/4 of 20.
Large Numbers: Lakhs Intro
How many thousands are in your number?
Long Division Step
Divide a 3-digit number by a 1-digit number.
Mixed Number Maker
Turn an improper fraction into a mixed number.
Multiplying 2-digit by 1-digit
Watch the partial products line up.
Perimeter Explorer (Triangle)
Add all three sides of a triangle.
Time Interval Calculator
How long from start time to end time?
Class III 9 labs
Build a 3-Digit Number
Pick H, T, O bundles and form the number.
Clock: Hours and Half-Hours
Move the hands and read the time.
Division by Sharing
Share sweets equally among friends.
Fraction Strip Explorer
Cut a strip into equal parts and pick how many.
Money Total in Rupees
Count coins and notes to find the total.
Numbers up to 1000
Slide to any number up to 1000.
Perimeter of a Rectangle
Choose length and width; walk all four sides.
Rounding to the Nearest Ten
Round any number to the nearest 10.
Times-Table Explorer
Pick any table and any multiplier.
Class II 8 labs
Addition with Regrouping
Add two 2-digit numbers; spot the carry.
Build a Number from Tens & Ones
Choose tens and ones bundles, see the number form.
Compare Lengths in cm
Two pencils of different lengths , which is longer?
Doubling and Halving
Double a number again and again , watch it grow!
Fruit Pictogram Total
Each picture is 1 fruit. Add three rows.
Numbers up to 100
Pick any two-digit number and see its tens and ones.
Skip Counting Jumps
Pick a step (2, 5, 10) and how many jumps.
Subtract Two-Digit Numbers
Find the difference between two numbers.
Class I 7 labs
Bead String Counter
Count red beads and blue beads on a string.
Count On From a Number
Pick a starting number, then count on a few more.
Counting with Fingers
Slide to count from 0 to 10 like little fingers.
Finger Addition (under 10)
Add two small numbers using fingers on both hands.
Greater, Less or Equal?
Move sliders and see which is bigger.
Make 10 With Two Numbers
Pick a number; see what makes 10.
Pattern Step Maker
Pick a start and a step. Watch the pattern grow.