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
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Showing 74 questions in Mathematics for Class 8. Tap a card to reveal the answer.
MathematicsLinear Equations in One VariableeasySolve the linear equation 3x + 5 = 20.
Reveal answer ↓
What it is
Solving an equation means undoing the operations to leave the unknown by itself.
Answer
Subtract 5 from both sides: 3x = 20 - 5 = 15. Divide both sides by 3: x = 15/3 = 5. So x = 5. Check: 3(5) + 5 = 15 + 5 = 20, which is correct.
Isolate the variable using inverse operations
- •3x = 20 - 5 = 15
- •x = 15/3 = 5
- •Check: 3(5) + 5 = 20
Why learn this
Every 'find the missing value' problem - money, coding, physics - is a hidden equation.
💡 Memory trick
Do the opposite, in reverse order: undo the +5 first, then the x3.
MathematicsSquares and Square RootsmediumFind the square root of 1225 by prime factorisation.
Reveal answer ↓
What it is
A square root asks: which number multiplied by itself gives this number?
Answer
Factorise: 1225 = 5 x 5 x 7 x 7 = 5^2 x 7^2. Pair the equal factors and take one from each pair: sqrt(1225) = 5 x 7 = 35. So the square root of 1225 is 35.
sqrt(a^2 x b^2) = a x b
- •1225 = 5^2 x 7^2
- •Take one factor from each pair
- •sqrt(1225) = 5 x 7 = 35
Why learn this
Square roots power areas, geometry and, later, all of trigonometry.
💡 Memory trick
Prime-factorise, pair them up, take one factor from each pair.
MathematicsExponents and PowersmediumExpress 0.0000073 in standard (scientific) form.
Reveal answer ↓
What it is
Standard form writes very large or very small numbers as a x 10^n.
Answer
Move the decimal point to just after the first non-zero digit to get 7.3. The point moved 6 places to the right, so we multiply by 10 raised to the power -6. Therefore 0.0000073 = 7.3 x 10^-6.
Standard form: a x 10^n, where 1 <= a < 10
- •Bring one non-zero digit before the decimal
- •Count places moved = 6 (moving right -> negative power)
- •= 7.3 x 10^-6
Why learn this
Scientists write an atom's mass or a galaxy's size this way - it kills long strings of zeros.
💡 Memory trick
Move the point, count the hops; hopping right gives a negative power.
MathematicsComparing QuantitieseasyA shopkeeper buys a bag for 500 rupees and sells it for 575 rupees. Find the profit percent.
Reveal answer ↓
What it is
Profit percent measures your gain compared with the cost price, not the selling price.
Answer
Profit = selling price - cost price = 575 - 500 = 75 rupees. Profit percent = (profit / cost price) x 100 = (75 / 500) x 100 = 15 percent. So the shopkeeper makes a 15 percent profit.
Profit% = (Profit / Cost Price) x 100
- •Profit = SP - CP = 75
- •Profit% = (Profit / CP) x 100
- •= (75/500) x 100 = 15%
Why learn this
It's the number every shop, startup and investor lives and dies by.
💡 Memory trick
Always divide by CP - the Cost Price is your 'Compare Point'.
MathematicsAlgebraic Expressions and IdentitiesmediumUse a standard identity to expand (x + 5)^2.
Reveal answer ↓
What it is
Algebraic identities are shortcuts that expand or factor expressions instantly.
Answer
Use the identity (a + b)^2 = a^2 + 2ab + b^2 with a = x and b = 5. So (x + 5)^2 = x^2 + 2(x)(5) + 5^2 = x^2 + 10x + 25.
(a + b)^2 = a^2 + 2ab + b^2
- •(a + b)^2 = a^2 + 2ab + b^2
- •Here a = x, b = 5
- •= x^2 + 10x + 25
Why learn this
They save time in almost every algebra, physics and competitive-exam problem.
💡 Memory trick
Square the first, twice the product, square the last: a^2 + 2ab + b^2.
MathematicsMensurationmediumFind the area of a trapezium whose parallel sides are 12 cm and 8 cm and whose height is 5 cm.
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MathematicsComparing QuantitieseasyFind the simple interest on 2000 at 5% per year for 3 years. Slide the values to explore.
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MathematicsMensurationeasyFind the area of a circle of radius 7 units (take pi = 3.14159). Slide the radius to explore.
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MathematicsMensurationeasyFind the volume of a cuboid 3 x 4 x 5 units. Slide the dimensions to explore.
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MathematicsComparing QuantitieseasyA student scores 45 out of 180. What percentage is that? Slide the values to explore.
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MathematicsMensurationeasyFind the area of a triangle with base 10 and height 8 units. Slide to explore.
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MathematicsMensurationeasyFind the area of a rectangle 5 units long and 4 units wide. Slide to explore.
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MathematicsComparing QuantitieseasyA 2000 item has a 25% discount. How much do you save? Slide the values to explore.
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MathematicsMensurationeasyFind the area of a square of side 6 units. Slide the side to explore.
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MathematicsMensurationeasyFind the volume of a cube of side 4 units. Slide the side to explore.
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MathematicsMensurationeasyFind the circumference of a circle of radius 7 units (pi = 3.14159). Slide to explore.
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MathematicsComparing QuantitiesmediumFind the compound interest on 1000 at 10% per year for 2 years. Slide the values to explore.
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MathematicsComparing QuantitieseasyAn item costing 2000 is sold for 2500. Find the profit percentage. Slide the values to explore.
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MathematicsMensurationeasyFind the perimeter of a rectangle 5 units long and 3 units wide. Slide to explore.
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MathematicsMensurationeasyFind the perimeter of a square of side 6 units. Slide the side to explore.
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MathematicsMensurationeasyFind the perimeter of a triangle with sides 3, 4 and 5 units. Slide to explore.
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MathematicsMensurationeasyFind the area of a parallelogram with base 10 and height 6 units. Slide to explore.
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MathematicsMensurationmediumFind the area of a rhombus with diagonals 8 and 6 units. Slide to explore.
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MathematicsComparing QuantitieseasyA value rises from 80 to 100. Find the percentage change. Slide the values to explore.
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MathematicsUnderstanding QuadrilateralseasyFind the sum of the interior angles of a pentagon (5 sides). Slide the number of sides to explore.
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MathematicsUnderstanding QuadrilateralseasyFind each exterior angle of a regular hexagon (6 sides). Slide the number of sides to explore.
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MathematicsUnderstanding QuadrilateralsmediumHow many diagonals does a hexagon (6 sides) have? Slide the number of sides to explore.
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MathematicsComparing QuantitieseasyAn item costing 2000 is sold for 1600. Find the loss percentage. Slide the values to explore.
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MathematicsComparing QuantitieseasyFind the amount on 2000 at 5% per year for 3 years. Slide the values to explore.
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MathematicsComparing QuantitiesmediumAt what price should a 2000 item be sold to make a 25% profit? Slide to explore.
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MathematicsMensurationeasyFind the circumference of a circle of diameter 7 units (pi = 3.14159). Slide to explore.
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MathematicsComparing QuantitieseasyWhat is 20% of 150? Slide the values to explore.
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MathematicsUnderstanding QuadrilateralsmediumFind each interior angle of a regular hexagon (6 sides). Slide the number of sides to explore.
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MathematicsComparing QuantitiesmediumA 50000 machine depreciates 10% a year. Find its value after 2 years. Slide to explore.
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MathematicsComparing QuantitiesmediumAn item sold for 2500 at a 25% profit. Find the cost price. Slide to explore.
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MathematicsDirect and Inverse ProportionseasyA boat rows at 10 km/h in still water down a 4 km/h stream. Find its downstream speed. Slide to explore.
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MathematicsDirect and Inverse ProportionseasyA boat rows at 10 km/h in still water against a 4 km/h stream. Find its upstream speed. Slide to explore.
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MathematicsDirect and Inverse ProportionshardA car goes one way at 40 km/h and back at 60 km/h. Find its average speed. Slide to explore.
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MathematicsComparing QuantitieseasyFind the tax on a 1000 item at 12%. Slide the values to explore.
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MathematicsSquares and Square RootseasyA square has an area of 144 square units. Find its side. Slide the area to explore.
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MathematicsComparing QuantitiesmediumAn interest of 300 comes from a principal of 2000 over 3 years. Find the rate. Slide to explore.
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MathematicsComparing QuantitiesmediumAn interest of 300 comes from a principal of 2000 at 5% per year. Find the time. Slide to explore.
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MathematicsComparing QuantitiesmediumAn interest of 300 is earned at 5% per year for 3 years. Find the principal. Slide to explore.
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MathematicsDirect and Inverse ProportionsmediumFind d if 2 : 3 = 4 : d. Slide a, b, c to explore.
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MathematicsComparing QuantitiesmediumAn item sold for 1500 after a 25% discount. Find the marked price. Slide to explore.
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MathematicsDirect and Inverse ProportionseasyA 200 m train passes a pole in 10 s. Find its speed. Slide to explore.
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MathematicsDirect and Inverse ProportionsmediumIf 10 workers take 12 days, how long do 15 workers take? Slide to explore.
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MathematicsComparing QuantitieseasyDivide 500 in the ratio 2 : 3. Find the first share. Slide the values to explore.
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MathematicsDirect and Inverse ProportionseasyIf 12 items cost 240, what is the cost of one? Slide the values to explore.
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MathematicsRational NumbersmediumState whether rational numbers are commutative under addition and under subtraction, with an example.
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MathematicsRational NumberseasyFind the additive inverse and the multiplicative inverse of 3/5.
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MathematicsLinear Equations in One VariableeasySolve for x: 3x + 5 = 20.
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MathematicsLinear Equations in One VariablemediumThe sum of two consecutive natural numbers is 45. Find the numbers.
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MathematicsSquares and Square RootseasyState two properties of perfect squares. Is 3728 a perfect square?
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MathematicsSquares and Square RootsmediumFind the square root of 324 by prime factorisation.
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MathematicsCubes and Cube RootsmediumFind the cube root of 3375 by prime factorisation.
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MathematicsExponents and PowersmediumSimplify using laws of exponents: 2^3 x 2^4 and 5^6 / 5^2.
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MathematicsExponents and PowersmediumExpress 0.00000045 in standard form.
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MathematicsComparing QuantitieseasyA student scored 45 marks out of 60. Find the percentage of marks.
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MathematicsComparing QuantitiesmediumAn article bought for 500 rupees is sold for 600 rupees. Find the profit percent.
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MathematicsComparing QuantitiesmediumThe marked price of a shirt is 800 rupees and a discount of 15% is given. Find the selling price.
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MathematicsComparing QuantitieshardFind the compound interest on 10000 rupees for 2 years at 10% per annum, compounded annually.
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MathematicsAlgebraic Expressions and IdentitiesmediumUse an identity to expand (x + 5)^2 and to evaluate 103^2.
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MathematicsAlgebraic Expressions and IdentitiesmediumEvaluate 98 x 102 using a suitable identity.
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MathematicsFactorisationmediumFactorise: 6xy + 9x + 4y + 6 by grouping.
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MathematicsUnderstanding QuadrilateralseasyThree angles of a quadrilateral are 90, 85 and 65 degrees. Find the fourth angle.
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MathematicsUnderstanding QuadrilateralsmediumState any three properties of a parallelogram.
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MathematicsUnderstanding QuadrilateralsmediumFind the sum of the interior angles of a hexagon, and each interior angle of a regular hexagon.
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MathematicsMensurationmediumFind the area of a trapezium whose parallel sides are 12 cm and 8 cm and the distance between them is 5 cm.
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MathematicsMensurationmediumFind the area of a rhombus whose diagonals are 16 cm and 12 cm.
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MathematicsMensurationmediumFind the total surface area of a cuboid of length 8 cm, breadth 5 cm and height 3 cm.
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MathematicsMensurationmediumFind the volume of a cylinder of radius 7 cm and height 10 cm. (Take pi = 22/7.)
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MathematicsDirect and Inverse ProportionsmediumIf 5 pens cost 60 rupees, what is the cost of 8 pens?
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MathematicsDirect and Inverse ProportionsmediumIf 6 workers finish a job in 12 days, how many days will 8 workers take?
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