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Free study notes for CBSE & ICSE, Classes 6–12.

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ScienceClass 8CBSE

A Whole Cylinder of Gas Squeezes Into a Carryable Tank

Learn why gases compress while solids will not, how particle motion decides whether a substance can flow, what happens to particles during melting and boiling, and how to predict a change of state.

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ScienceClass 8CBSE

Sugar Vanishes in Water Without Raising the Level

Learn the everyday evidence that matter is made of tiny particles with gaps between them, see that those particles are atoms and molecules, compare the three states by particle attraction, and classify substances by arrangement.

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ScienceClass 8CBSE

A Storm Lifts a Roof by Pulling It Upward, Not Pushing It

Learn how uneven heating creates pressure differences and wind, why fast-moving air has lower pressure, how thunderstorms and lightning form and how to stay safe, and how a cyclone builds its eye.

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ScienceClass 8CBSE

The Same Push Can Be Gentle or Painful Depending on the Area

Learn to calculate pressure in pascals, explain why straps are broad and knives are sharp, see how liquid pressure grows with depth, and find the evidence that air presses on everything around us.

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ScienceClass 8CBSE

A Bucket of Water Feels Lighter While It Is Still in the Well

Learn why mass and weight are different quantities, calculate weight in newtons from a given mass, compare upthrust with weight to decide floating or sinking, and explain why immersed objects feel lighter.

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ScienceClass 8CBSE

A Force Always Needs Two Objects, Never One

Learn what a force is and which direction it acts, predict how it changes speed, direction or shape, see why every force needs two interacting objects, and sort forces into contact and non-contact kinds.

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ScienceClass 8CBSE

Two Different Metals in Lemon Juice Make Electricity

Learn why a current-carrying wire gets hot, identify the appliances built on that effect, see how a voltaic cell turns chemical energy into electrical energy, and compare a dry cell with a rechargeable battery.

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ScienceClass 8CBSE

A Plain Copper Wire Can Move a Compass Needle

Learn the experiment that shows a current has a magnetic effect, predict how the needle moves when the current changes, build an electromagnet and control its strength, and see why devices prefer it to a permanent magnet.

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ScienceClass 8CBSE

Stopping Your Medicine Early Can Make the Germs Stronger

Learn to sort diseases as communicable or non-communicable, trace the five routes germs travel, see how lifestyle causes diabetes and obesity, and understand vaccines, antibiotics and resistance.

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ScienceClass 8CBSE

A Doctor Can See a Sign but Only You Can Feel a Symptom

Learn why health covers body, mind and society, judge a daily routine against diet, exercise, sleep and hygiene, see how clean water and sanitation protect a whole community, and read signs against symptoms.

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ScienceClass 8CBSE

A Virus Cannot Do Anything Until It Gets Inside a Cell

Learn to classify microorganisms into four groups and see why viruses sit apart, follow their work as decomposers and nitrogen fixers, understand fermentation in curd and bread, and justify the cell as life's basic unit.

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ScienceClass 8CBSE

A Red Blood Cell Throws Away Its Own Nucleus

Learn to identify every part of a cell and what it does, compare plant and animal cells, see how a cell's shape suits its job, tell unicellular from multicellular life, and order the levels of organisation.

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ScienceClass 8CBSE

Saying the Leaves Are Yellow Is Not the Same as Saying Why

Learn to turn an everyday observation into a testable question, tell an observation apart from an inference, spot which factor was changed and which was measured, and see why repeated trials matter.

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MathematicsClass 7ICSE

No Probability Can Ever Be Bigger Than One

Learn to sort events as certain, impossible or likely, work out experimental probability from trial results, calculate theoretical probability from equally likely outcomes, and use the complement rule.

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MathematicsClass 7ICSE

If You Know the Average You Can Find a Missing Number

Learn to calculate the mean and work backwards to a missing observation, find the median for odd and even counts, identify one or more modes, and draw a bar graph to a sensible scale.

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MathematicsClass 7ICSE

Sorting Numbers Before You Count Them Saves Every Mistake

Learn the difference between raw and arrayed data, arrange observations in order, calculate the range in one subtraction, and build a frequency distribution table using tally marks.

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MathematicsClass 7ICSE

Find the Area of a Path by Subtracting Two Rectangles

Learn the area formulas for squares, rectangles, parallelograms, rhombuses and triangles, find the area of a circle and a ring, break shaded figures into simple shapes, and cost a path or a carpet.

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MathematicsClass 7ICSE

How Many Times a Wheel Turns Over a Kilometre

Learn to find the perimeter of rectangles, squares and triangles, calculate circumference with pi as 22 by 7, recover dimensions from a perimeter and a ratio, and solve fencing and wheel problems.

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MathematicsClass 7ICSE

Prove Two Triangles Match and Six Facts Come Free

Learn congruence by superimposition, write the vertex correspondence correctly, choose between SSS, SAS, ASA and RHS, and use c.p.c.t. to prove further results in a single step.

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MathematicsClass 7ICSE

One Equation Links the Corners, Edges and Faces of Any Solid

Learn to count faces, edges and vertices of common solids, verify Euler's formula and use it to find a missing number, test which nets fold into a cube, and draw solids to scale in two dimensions.

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MathematicsClass 7ICSE

A Parallelogram Looks Symmetrical but Has No Line of Symmetry

Learn to count lines of symmetry in shapes and letters, complete a figure from half of it, reflect points in the axes and the origin, and find the order of rotational symmetry.

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MathematicsClass 7ICSE

Three Side Lengths Can Tell You There Is a Right Angle

Learn to state the Pythagoras theorem and spot the hypotenuse, find any missing side, test three lengths for a right angle with the converse, and solve ladder, diagonal and distance problems.

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MathematicsClass 7ICSE

One Circle Touches All Three Corners, Another All Three Sides

Learn to construct a triangle from three sides, from SAS and ASA, and in isosceles, equilateral and right-angled forms, then draw its circumcircle from perpendicular bisectors and its incircle from angle bisectors.

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MathematicsClass 7ICSE

Three Angles in the Ratio 2 to 3 to 4 Are Fixed Already

Learn to classify triangles by sides and angles, find unknown angles from a ratio using the angle sum, apply the exterior angle property, and use isosceles and equilateral angle rules.

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