For Class 8, 9 & 10
Master the basics - and everything after gets easier
Concept-first questions with clear model answers in Physics, Chemistry, Maths and Biology, all NCERT-aligned. Start early, build the habit, and walk into your boards, NEET and JEE already ahead.
Interactive lessons
learn by playingDrag, slide and build - watch each concept come alive, then reveal the answer.
200 interactive lessons
Ohm's law
Class 10 Physics
Slide V & R, watch the bulb glow
Open →pH scale
Class 10 Chemistry
Slide across acids and bases
Open →Atomic number and mass number
Class 9 Chemistry
Add protons & neutrons, build shells
Open →Laws of reflection
Class 8 Physics
Change the angle, watch it bounce
Open →Volume of a sphere
Class 9 Maths
Grow the radius, see the volume
Open →Area of a trapezium
Class 8 Maths
Drag the sides, read the area
Open →Power of a lens
Class 10 Physics
Move the object, trace the rays
Open →Food chain and energy flow
Class 10 Biology
Follow the energy as it flows
Open →Speed
Class 8 Physics
Slide distance & time, watch the speed
Open →Density
Class 9 Physics
Pack mass into volume, float or sink
Open →Work done
Class 9 Physics
Push harder or farther, watch work grow
Open →Kinetic energy
Class 9 Physics
Speed it up - energy grows with the square
Open →Power of a lens
Class 10 Physics
Shorten the focal length, boost the power
Open →Mole concept
Class 9 Chemistry
Weigh out grams, count the moles
Open →Avogadro's number
Class 9 Chemistry
Add moles, count the particles
Open →Microscope magnification
Class 8 Biology
Grow the image, read the magnification
Open →Population density
Class 10 Biology
Add individuals, shrink the land, see crowding
Open →Simple interest
Class 8 Maths
Slide money, rate & time, watch interest
Open →Pythagoras theorem
Class 9 Maths
Stretch the two sides, get the hypotenuse
Open →Probability of an event
Class 10 Maths
Change the outcomes, watch the odds
Open →Newton's second law
Class 9 Physics
Push a mass, pick an acceleration
Open →Momentum
Class 9 Physics
Slide mass & velocity, build momentum
Open →Pressure
Class 8 Physics
Shrink the area, feel the pressure rise
Open →Weight
Class 9 Physics
Change the planet's gravity, watch your weight
Open →Refractive index
Class 10 Physics
Slow light in the medium, raise the index
Open →Resistors in series
Class 10 Physics
Add two resistors in a line
Open →Mass percentage of a solution
Class 9 Chemistry
Dissolve solute, read the strength
Open →Concentration of a solution
Class 9 Chemistry
Pack solute into less liquid
Open →Population change
Class 10 Biology
Balance births against deaths
Open →Compound microscope
Class 8 Biology
Combine eyepiece & objective lenses
Open →Area of a circle
Class 8 Maths
Grow the radius, watch the area square
Open →Volume of a cuboid
Class 8 Maths
Stretch length, breadth & height
Open →Electronic configuration and valency
Class 9 Chemistry
Slide the atomic number, build the atom
Open →Homologous series (alkanes)
Class 10 Chemistry
Add carbons, name the compound
Open →Mass number
Class 9 Chemistry
Add protons & neutrons, get the mass number
Open →Power
Class 9 Physics
More work in less time = more power
Open →Potential energy
Class 9 Physics
Lift a mass higher, store energy
Open →Wave speed
Class 9 Physics
Tune frequency & wavelength, set the speed
Open →Electric current
Class 10 Physics
Push charge per second, get the current
Open →Percentage
Class 8 Maths
Compare part to whole as a %
Open →Electron dot structure
Class 9 Chemistry
Draw valence electrons as dots
Open →Acceleration
Class 9 Physics
Speed up over time, find acceleration
Open →Distance, speed and time
Class 8 Physics
Set speed & time, cover the distance
Open →Frequency and time period
Class 9 Physics
Shorten the period, raise the frequency
Open →Heating effect of current
Class 10 Physics
Raise the current, watch heating soar
Open →Area of a triangle
Class 8 Maths
Set base & height, halve the rectangle
Open →Area of a rectangle
Class 8 Maths
Set length & breadth, fill the area
Open →Mean (average)
Class 9 Maths
Share the total equally across items
Open →Discount
Class 8 Maths
Slide price & % off, see the saving
Open →Heart rate
Class 10 Biology
Set heart rate & time, count the beats
Open →Resistors in parallel
Class 10 Physics
Wire two resistors side by side
Open →Electric charge
Class 10 Physics
Flow current over time, collect charge
Open →Electrical energy and units
Class 10 Physics
Run appliances, add up the units
Open →Kelvin temperature scale
Class 9 Chemistry
Slide Celsius, read the Kelvin
Open →Moles from number of particles
Class 9 Chemistry
Divide particles by Avogadro's number
Open →Ten percent law
Class 10 Biology
See 10% of energy reach the next level
Open →Area of a square
Class 8 Maths
Grow the side, square the area
Open →Volume of a cube
Class 8 Maths
Grow the edge, cube the volume
Open →Circumference of a circle
Class 8 Maths
Grow the radius, roll out the rim
Open →Surface area of a cube
Class 9 Maths
Grow the edge, cover six faces
Open →Potential difference
Class 10 Physics
Share work across charge, get volts
Open →Resistance from Ohm's law
Class 10 Physics
Divide voltage by current, get resistance
Open →Echo and SONAR
Class 9 Physics
Time the echo, find the distance
Open →Mass from moles
Class 9 Chemistry
Multiply moles by molar mass
Open →Breathing rate
Class 10 Biology
Set breathing rate & time
Open →Volume of a cylinder
Class 10 Maths
Set radius & height, fill the can
Open →Compound interest
Class 8 Maths
Compound money over years
Open →Profit and loss percentage
Class 8 Maths
Set cost & selling price, see profit %
Open →Perimeter of a rectangle
Class 8 Maths
Set length & breadth, walk the border
Open →Surface area of a sphere
Class 10 Maths
Grow the radius, wrap the ball
Open →Time period
Class 9 Physics
Raise the frequency, shrink the period
Open →Relative velocity
Class 9 Physics
Two objects approach - add their speeds
Open →Average velocity
Class 9 Physics
Average the start and end speeds
Open →Equations of motion (v = u + at)
Class 9 Physics
Accelerate from u for a time t
Open →Kelvin to Celsius
Class 9 Chemistry
Slide Kelvin, read the Celsius
Open →Population growth rate
Class 10 Biology
Balance births vs deaths per population
Open →Perimeter of a square
Class 8 Maths
Grow the side, walk four edges
Open →Perimeter of a triangle
Class 8 Maths
Add the three sides
Open →Area of a parallelogram
Class 8 Maths
Set base & height, slide the shape
Open →Area of a rhombus
Class 8 Maths
Set the two diagonals
Open →Equations of motion (distance)
Class 9 Physics
Start, accelerate, cover ground
Open →Joule's law of heating
Class 10 Physics
Raise current, resistance or time
Open →Electric power (P = VI)
Class 10 Physics
Multiply voltage by current
Open →Average atomic mass of isotopes
Class 9 Chemistry
Mix two isotopes by abundance
Open →Seed germination percentage
Class 9 Biology
Count sprouted seeds out of the total
Open →Volume of a cone
Class 9 Maths
Set radius & height, fill the cone
Open →Surface area of a cylinder
Class 9 Maths
Wrap the side and both ends
Open →Surface area of a cuboid
Class 9 Maths
Cover all six rectangular faces
Open →nth term of an AP
Class 10 Maths
Step from the first term by d
Open →Sum of an AP
Class 10 Maths
Add up the first n terms
Open →Focal length of a mirror
Class 10 Physics
Halve the radius to find the focus
Open →Speed of light in a medium
Class 10 Physics
Raise the index, slow the light
Open →Percentage purity
Class 9 Chemistry
Weigh the pure part of a sample
Open →Slope of a line
Class 10 Maths
Rise over run gives the steepness
Open →Percentage change
Class 8 Maths
Compare a new value to the old
Open →Volume of a hemisphere
Class 9 Maths
Grow the radius of half a ball
Open →Area of a sector
Class 10 Maths
Cut a slice of angle from a circle
Open →Length of an arc
Class 10 Maths
Measure the curved edge of a slice
Open →Slant height of a cone
Class 9 Maths
Combine radius & height for the slant
Open →Unit conversion (km/h to m/s)
Class 9 Physics
Convert km/h into m/s
Open →Equations of motion (v^2 = u^2 + 2as)
Class 9 Physics
Accelerate over a distance, find v
Open →Impulse
Class 9 Physics
Hit harder or longer, change momentum
Open →Wavelength
Class 9 Physics
Speed over frequency gives wavelength
Open →Oscillations
Class 9 Physics
Vibrate at a frequency for a time
Open →Cost of electricity
Class 10 Physics
Units times rate gives the bill
Open →Number of neutrons
Class 9 Chemistry
Take protons away from the mass number
Open →Curved surface area of a cone
Class 9 Maths
Wrap the slanted side of a cone
Open →Total surface area of a cone
Class 9 Maths
Add the base circle to the cone's side
Open →Curved surface area of a hemisphere
Class 9 Maths
Cover the dome of a hemisphere
Open →Diagonal of a square
Class 9 Maths
Cross a square corner to corner
Open →Unit conversion (m/s to km/h)
Class 9 Physics
Convert m/s into km/h
Open →Distance from velocities
Class 9 Physics
From two speeds, find the distance
Open →Diagonal of a rectangle
Class 9 Maths
Cross a rectangle corner to corner
Open →Diagonal of a cuboid
Class 9 Maths
The longest rod that fits in a box
Open →Area by Heron's formula
Class 9 Maths
Area from just the three sides
Open →Interior angle sum of a polygon
Class 8 Maths
Add up a polygon's inside angles
Open →Exterior angle of a regular polygon
Class 8 Maths
Share 360 among a polygon's corners
Open →Number of diagonals of a polygon
Class 8 Maths
Count the diagonals of a polygon
Open →Discriminant
Class 10 Maths
Test how many roots a quadratic has
Open →Sum of roots
Class 10 Maths
Sum of a quadratic's roots
Open →Punnett square (monohybrid cross)
Class 10 Biology
Cross two parents, predict the offspring
Open →Balancing chemical equations
Class 10 Chemistry
Slide coefficients until atoms balance
Open →Writing chemical formulae (valency)
Class 9 Chemistry
Criss-cross valencies into a formula
Open →Current from power
Class 10 Physics
Divide power by voltage for current
Open →Power (P = V^2 / R)
Class 10 Physics
Voltage squared over resistance
Open →Sine ratio
Class 10 Maths
Opposite over hypotenuse
Open →Cosine ratio
Class 10 Maths
Adjacent over hypotenuse
Open →Tangent ratio
Class 10 Maths
Opposite over adjacent
Open →Area of an equilateral triangle
Class 9 Maths
Area of an equilateral triangle
Open →Curved surface area of a cylinder
Class 9 Maths
Wrap only the curved side
Open →Loss percentage
Class 8 Maths
Sell below cost, find the loss %
Open →Amount with simple interest
Class 8 Maths
Principal plus its simple interest
Open →Distance formula
Class 10 Maths
Straight distance between two points
Open →States of matter
Class 9 Chemistry
Heat particles solid → liquid → gas
Open →Parts of a plant cell
Class 8 Biology
Tap a cell part to see its job
Open →Diagonal of a cube
Class 9 Maths
Longest diagonal through a cube
Open →Total surface area of a hemisphere
Class 9 Maths
Dome plus its flat circle
Open →Sum of first n natural numbers
Class 10 Maths
Add 1 + 2 + ... + n instantly
Open →Range of data
Class 9 Maths
Spread from smallest to largest
Open →Class mark
Class 9 Maths
Midpoint of a class interval
Open →Selling price from profit percent
Class 8 Maths
Mark up cost by a profit %
Open →Perimeter of a sector
Class 10 Maths
Two radii plus the curved arc
Open →Circumference from diameter
Class 8 Maths
Circumference straight from diameter
Open →Power (P = F x v)
Class 9 Physics
Force times velocity gives power
Open →Percentage of a number
Class 8 Maths
Find a percentage of a number
Open →Series and parallel circuits
Class 10 Physics
Break a bulb in series vs parallel
Open →Symbols of elements
Class 9 Chemistry
Match each element to its symbol
Open →Free fall (velocity)
Class 9 Physics
Drop from a height, hit this speed
Open →Free fall (time)
Class 9 Physics
How long a drop takes
Open →Free fall (distance)
Class 9 Physics
Distance fallen in a given time
Open →Complement of an event
Class 10 Maths
Chance an event does NOT happen
Open →Product of roots
Class 10 Maths
Product of a quadratic's roots
Open →Exterior angle theorem
Class 9 Maths
Exterior angle = sum of remote interiors
Open →Complementary angles
Class 10 Maths
What adds to 90 degrees
Open →Supplementary angles
Class 9 Maths
What adds to 180 degrees
Open →Perimeter of a semicircle
Class 10 Maths
Curved half plus the diameter
Open →Area of a semicircle
Class 10 Maths
Half the area of a circle
Open →Turning effect (moments)
Class 9 Physics
Balance the see-saw with moments
Open →Reflex arc
Class 10 Biology
Step through a reflex, stimulus to action
Open →Buoyant force (upthrust)
Class 9 Physics
Displace liquid, feel the upthrust
Open →Relative density
Class 9 Physics
Compare a density to water's
Open →Power in lifting a load
Class 9 Physics
Lift a load, faster needs more power
Open →Cosecant ratio
Class 10 Maths
Hypotenuse over opposite
Open →Secant ratio
Class 10 Maths
Hypotenuse over adjacent
Open →Cotangent ratio
Class 10 Maths
Adjacent over opposite
Open →Height from angle of elevation
Class 10 Maths
Height from an angle of elevation
Open →Area of a quadrant
Class 10 Maths
A quarter of a circle's area
Open →Interior angle of a regular polygon
Class 8 Maths
One inside angle of a regular polygon
Open →Sum of first n odd numbers
Class 10 Maths
Add the first n odd numbers
Open →Sum of first n even numbers
Class 10 Maths
Add the first n even numbers
Open →Quadratic formula (a root)
Class 10 Maths
Larger root of a quadratic
Open →LCM from HCF
Class 10 Maths
LCM from the product and HCF
Open →Depreciation
Class 8 Maths
Value drops by a % each year
Open →Cost price from selling price
Class 8 Maths
Work back to the cost price
Open →Downstream speed
Class 8 Maths
Row with the current
Open →Upstream speed
Class 8 Maths
Row against the current
Open →Average speed for a round trip
Class 8 Maths
Average speed there and back
Open →Sales tax / GST
Class 8 Maths
Tax added on a price
Open →Area of a ring (annulus)
Class 10 Maths
Area of a ring between two circles
Open →Edge of a cube from volume
Class 9 Maths
Edge back from the volume
Open →Radius from area
Class 10 Maths
Radius back from a circle's area
Open →Side from area of a square
Class 8 Maths
Side back from a square's area
Open →Height of a triangle from area
Class 9 Maths
Height back from area and base
Open →Rate from simple interest
Class 8 Maths
Rate back from the interest
Open →Time from simple interest
Class 8 Maths
Time back from the interest
Open →Principal from simple interest
Class 8 Maths
Principal back from the interest
Open →Mean proportional
Class 10 Maths
Geometric mean of two numbers
Open →Fourth proportional
Class 8 Maths
Complete the proportion a : b = c : ?
Open →Marked price from selling price
Class 8 Maths
Marked price back from the sale price
Open →Chambers of the human heart
Class 10 Biology
Tap a heart chamber to see its job
Open →Equation of a line (y = mx + c)
Class 9 Maths
Read y off a straight line
Open →Average term of an AP
Class 10 Maths
Average of first and last term
Open →Number of terms in an AP
Class 10 Maths
How many terms in an AP
Open →Midpoint of two points
Class 10 Maths
x-coordinate of a midpoint
Open →Empirical mode
Class 10 Maths
Estimate the mode from mean & median
Open →Length of a shadow
Class 10 Maths
Shadow from height and sun angle
Open →Train crossing a pole
Class 8 Maths
Speed to cross a pole
Open →Time and work
Class 8 Maths
More workers, fewer days
Open →Dividing in a ratio
Class 8 Maths
Split a total in a ratio
Open →Unitary method
Class 8 Maths
Cost of a single item
Open →Your progress — Foundation - Class 8 to 10
0 / 586 learnedTap “Mark as learned” on a card as you master it — saved on this device, no sign-in needed.
Your badges
0/12 earned
Showing 78 questions in Mathematics for Class 10. Tap a card to reveal the answer.
MathematicsReal NumbersmediumFind the HCF of 96 and 404 using Euclid's division algorithm.
Reveal answer ↓
What it is
Euclid's algorithm finds the HCF by repeated division until the remainder becomes zero.
Answer
Apply repeated division: 404 = 96 x 4 + 20; 96 = 20 x 4 + 16; 20 = 16 x 1 + 4; 16 = 4 x 4 + 0. The last non-zero remainder is 4, so HCF(96, 404) = 4.
a = bq + r, then HCF(a,b) = HCF(b,r)
- •404 = 96 x 4 + 20
- •96 = 20 x 4 + 16
- •20 = 16 x 1 + 4
- •16 = 4 x 4 + 0 -> HCF = 4
Why learn this
HCF simplifies fractions, shares things equally and even underpins computer cryptography (RSA).
💡 Memory trick
Divide, take the remainder, divide again. Last non-zero remainder = HCF.
MathematicsPolynomialseasyFind the zeroes of the polynomial x^2 - 7x + 10 and verify the relationship between the zeroes and the coefficients.
Reveal answer ↓
What it is
The zeroes of a quadratic are where it equals zero; their sum is -b/a and product is c/a.
Answer
Factorise: x^2 - 7x + 10 = (x - 2)(x - 5), so the zeroes are 2 and 5. Sum of zeroes = 2 + 5 = 7 = -(-7)/1 = -b/a. Product of zeroes = 2 x 5 = 10 = 10/1 = c/a. Both relations hold.
Sum = -b/a ; Product = c/a
- •(x - 2)(x - 5) -> zeroes 2, 5
- •Sum = 7 = -b/a
- •Product = 10 = c/a
Why learn this
Finding roots is how we solve projectile paths, profit models and design problems in engineering.
💡 Memory trick
Sum = -b/a (has the minus), Product = c/a (plain).
MathematicsPair of Linear Equations in Two VariablesmediumSolve the pair of equations: 2x + 3y = 13 and x - y = -1.
Reveal answer ↓
What it is
Two linear equations meet at one point - the (x, y) that satisfies both at once.
Answer
From the second equation, x = y - 1. Substitute into the first: 2(y - 1) + 3y = 13, so 5y - 2 = 13, giving 5y = 15 and y = 3. Then x = y - 1 = 2. Solution: x = 2, y = 3.
Substitution: express one variable, substitute into the other
- •x = y - 1 from second equation
- •2(y-1) + 3y = 13 -> 5y = 15
- •y = 3, x = 2
Why learn this
It solves 'two unknowns' problems: prices, mixtures, speed-time and business break-even.
💡 Memory trick
Substitution: make one variable the subject, then plug it into the other equation.
MathematicsQuadratic EquationsmediumFind the roots of x^2 - 5x + 6 = 0 and state the nature of the roots using the discriminant.
Reveal answer ↓
What it is
The discriminant D = b^2 - 4ac reveals the nature of a quadratic's roots before you solve it.
Answer
Factorise: (x - 2)(x - 3) = 0, so the roots are x = 2 and x = 3. The discriminant D = b^2 - 4ac = (-5)^2 - 4(1)(6) = 25 - 24 = 1. Since D > 0 and is a perfect square, the roots are real, distinct and rational.
D = b^2 - 4ac ; x = (-b +/- sqrt(D)) / 2a
- •(x-2)(x-3) = 0 -> roots 2, 3
- •D = b^2 - 4ac = 1
- •D > 0 -> two distinct real roots
Why learn this
Engineers use it to know at a glance if a design has real solutions (bridges, projectiles).
💡 Memory trick
D > 0 real and distinct; D = 0 real and equal; D < 0 no real roots.
MathematicsArithmetic ProgressionseasyThe first term of an AP is 3 and the common difference is 5. Find its 10th term.
Reveal answer ↓
What it is
In an AP each term rises by a fixed step d; the nth term is a + (n - 1)d.
Answer
The nth term of an AP is a_n = a + (n - 1)d. Here a = 3, d = 5, n = 10, so a_10 = 3 + (10 - 1) x 5 = 3 + 45 = 48.
a_n = a + (n - 1)d
- •a_n = a + (n - 1)d
- •a = 3, d = 5, n = 10
- •a_10 = 48
Why learn this
APs model salaries with fixed raises, seating rows, EMIs and steady savings.
💡 Memory trick
nth term = start + (steps taken) x step = a + (n - 1)d.
MathematicsArithmetic ProgressionsmediumFind the sum of the first 20 terms of the AP 2, 5, 8, 11, ...
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsTrianglesmediumState the Basic Proportionality Theorem (Thales' theorem).
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsCoordinate GeometryeasyFind the distance between the points (2, 3) and (5, 7).
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumIf sin(theta) = 3/5, find cos(theta) and tan(theta), where theta is acute.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsSome Applications of TrigonometrymediumThe angle of elevation of the top of a tower from a point 30 m from its base is 30 degrees. Find the height of the tower.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsCirclesmediumA point P is 13 cm from the centre of a circle of radius 5 cm. Find the length of the tangent drawn from P to the circle.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsSurface Areas and VolumeseasyFind the volume of a cone whose base radius is 3 cm and height is 4 cm. (Take pi = 22/7.)
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsStatisticsmediumThe mean of a distribution is 27 and its median is 30. Estimate the mode using the empirical relationship.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsProbabilityeasyOne card is drawn at random from a well-shuffled deck of 52 playing cards. What is the probability that it is a king?
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumEvaluate 2 tan^2(45 degrees) + cos^2(30 degrees) - sin^2(60 degrees).
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsProbabilityeasyWhat is the probability of rolling a 4 on a fair die? Change the outcomes to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsSurface Areas and VolumesmediumFind the volume of a cylinder of radius 3 and height 7 units (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsSurface Areas and VolumesmediumFind the surface area of a sphere of radius 7 units (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsArithmetic ProgressionsmediumFind the 5th term of the AP starting at 2 with common difference 3. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsArithmetic ProgressionsmediumFind the sum of the first 5 terms of the AP starting at 2 with common difference 3. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsCoordinate GeometrymediumA line rises 6 units over a run of 3 units. Find its slope. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsAreas Related to CirclesmediumFind the area of a 90 degree sector of a circle of radius 7 units (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsAreas Related to CirclesmediumFind the length of a 90 degree arc of a circle of radius 7 units (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsQuadratic EquationsmediumFind the discriminant of x^2 + 5x + 6 = 0. Slide a, b and c to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsQuadratic EquationsmediumFind the sum of the roots of x^2 - 5x + 6 = 0. Slide a and b to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumIn a right triangle the opposite side is 3 and the hypotenuse is 5. Find sin of the angle. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumIn a right triangle the adjacent side is 4 and the hypotenuse is 5. Find cos of the angle. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumIn a right triangle the opposite side is 3 and the adjacent side is 4. Find tan of the angle. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsCoordinate GeometrymediumFind the distance between (0, 0) and (3, 4). Slide the coordinates to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsArithmetic ProgressionseasyFind the sum 1 + 2 + 3 + ... + 10. Slide n to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsAreas Related to CirclesmediumFind the perimeter of a 90 degree sector of radius 7 units (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsProbabilityeasyWhat is the probability of NOT rolling a 4 on a die? Change the outcomes to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsQuadratic EquationsmediumFind the product of the roots of x^2 - 5x + 6 = 0. Slide a and c to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometryeasyWhat is the complement of a 30 degree angle? Slide the angle to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsAreas Related to CirclesmediumFind the perimeter of a semicircle of radius 7 units (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsAreas Related to CircleseasyFind the area of a semicircle of radius 7 units (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumIn a right triangle the hypotenuse is 5 and the opposite side is 3. Find cosec of the angle. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumIn a right triangle the hypotenuse is 5 and the adjacent side is 4. Find sec of the angle. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumIn a right triangle the adjacent side is 4 and the opposite side is 3. Find cot of the angle. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsSome Applications of TrigonometrymediumFrom 50 m away, the top of a tower has an angle of elevation of 30 degrees. Find its height. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsAreas Related to CircleseasyFind the area of a quadrant of radius 7 units (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsArithmetic ProgressionseasyFind 1 + 3 + 5 + 7 + 9. Slide how many odd numbers to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsArithmetic ProgressionseasyFind 2 + 4 + 6 + 8 + 10. Slide how many even numbers to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsQuadratic EquationshardFind a root of x^2 - 5x + 6 = 0 using the quadratic formula. Slide a, b, c to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsReal NumbersmediumThe HCF of 12 and 18 is 6. Find their LCM. Slide the values to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsAreas Related to CirclesmediumFind the area of a ring with outer radius 10 and inner radius 6 units (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsAreas Related to CirclesmediumA circle has an area of 154 square units. Find its radius (pi = 3.14159). Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsTrianglesmediumFind the mean proportional between 4 and 9. Slide the values to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsArithmetic ProgressionseasyFind the average term of the AP from 2 to 14. Slide the first and last terms to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsArithmetic ProgressionsmediumHow many terms are in the AP 2, 5, 8, 11, 14? Slide the values to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsCoordinate GeometryeasyFind the x-coordinate of the midpoint of x = 2 and x = 8. Slide the values to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsStatisticsmediumA data set has a median of 40 and a mean of 38. Estimate the mode. Slide the values to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsSome Applications of TrigonometrymediumA 50 m tower casts a shadow when the sun is at 45 degrees. Find the shadow length. Slide to explore.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsReal NumbersmediumThe HCF of two numbers is 6 and their product is 216. Find their LCM.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsReal NumbersmediumState the fundamental theorem of arithmetic and use it to find the HCF and LCM of 12 and 18.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsReal NumbershardHow is sqrt(2) proved to be irrational (outline)?
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsPolynomialsmediumFind the sum and product of the zeroes of the polynomial x^2 - 5x + 6.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsPair of Linear Equations in Two VariablesmediumSolve by substitution: x + y = 10 and x - y = 4.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsPair of Linear Equations in Two VariableshardState the conditions for a pair of linear equations to have a unique solution, no solution and infinitely many solutions.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsQuadratic EquationsmediumSolve the quadratic equation x^2 - 5x + 6 = 0 by factorisation.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsQuadratic EquationsmediumSolve x^2 - 4x + 1 = 0 using the quadratic formula.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsQuadratic EquationsmediumWhat is the discriminant? Find the nature of the roots of x^2 + 4x + 4 = 0.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsArithmetic ProgressionseasyFind the 15th term of the AP: 3, 7, 11, 15, ...
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsArithmetic ProgressionsmediumFind the sum of the first 20 terms of the AP: 2, 5, 8, 11, ...
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsTrianglesmediumState the criteria for the similarity of two triangles.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsTrianglesmediumState the basic proportionality theorem (Thales theorem).
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsTrianglesmediumThe two shorter sides of a right triangle are 6 cm and 8 cm. Find the hypotenuse.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsCoordinate GeometrymediumFind the distance between the points (1, 2) and (4, 6).
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsCoordinate GeometryhardFind the coordinates of the point dividing the line joining (2, 3) and (6, 7) in the ratio 1:1 (the midpoint).
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumDefine sin, cos and tan of an acute angle in a right-angled triangle.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumEvaluate sin 30 + cos 60 and tan 45.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsIntroduction to TrigonometrymediumState the three trigonometric identities. If sin A = 3/5, find cos A.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsSome Applications of TrigonometrymediumThe angle of elevation of the top of a tower from a point 30 m away is 45 degrees. Find the height of the tower.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsCirclesmediumWhat is a tangent to a circle? State the relationship between a tangent and the radius at the point of contact.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsCirclesmediumHow many tangents can be drawn from an external point to a circle, and what is special about them?
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsAreas Related to CirclesmediumFind the area of a sector of a circle of radius 7 cm with a central angle of 90 degrees. (Take pi = 22/7.)
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsStatisticsmediumThe class marks and frequencies of a data set are: (10, 2), (20, 3), (30, 5). Find the mean.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
MathematicsProbabilityeasyA die is rolled once. Find the probability of getting an even number.
Unlock answer ↓
You have opened your 5 free lessons 🎉
Unlock every one of them — plus all four Labs, the Concept Map and an unlimited AI Tutor — with Scholar.
₹1,700 ₹850 a year — about ₹2 a day
Browse by grade & subject
Concept-first question banks with model answers, the why, and a memory trick — one page per subject.