Study notes · Free to read
Chapter-by-chapter notes written straight from the curriculum. Read free, then practise the same chapter with an AI-generated quiz.
Latest posts
Filter by board, class, and subject to find notes for exactly what you're studying.
Learn what a force does, why forces come in contact and non-contact kinds, how to add forces along a line to find the net force, and why a rigid body can only be moved while a non-rigid one can be reshaped.
Read articleLearn why a liquid pushes up on anything placed in it, how the upthrust equals the weight of liquid displaced, how relative density is measured from an apparent loss of weight, and what decides whether a body floats or sinks.
Read articleLearn what makes a quantity physical, why the SI system needs only seven base units, how every other unit is built from them, how to measure the volume of an irregular solid, and how to find the density of a liquid.
Read articleLearn how evaporation differs from boiling, what speeds evaporation up, why evaporation produces cooling, how impurities and pressure move the melting and boiling points, and why water expands when it freezes.
Read articleLearn how intermolecular force and molecular kinetic energy compete to set the state of matter, why solids keep their shape while gases fill any container, and how heating or compressing shifts the balance.
Read articleLearn where the trapezium area formula comes from, how to split any quadrilateral or polygon into triangles, how to find the area of a shape with a hole, and how to work backwards from an area to a missing side.
Read articleLearn why area depends only on base and height, how sliding the apex of a triangle along a parallel line leaves the area unchanged, how a parallelogram splits into two equal triangles, and how a median halves any triangle.
Read articleLearn to explain a number grid puzzle with algebra, arrange digits for the largest product and prove the choice, justify a divisibility trick from expanded form, and find where a claimed pattern breaks.
Read articleLearn to model a think-of-a-number trick with an expression and simplify it to reveal why the answer is fixed, complete a number pyramid using variables, and express the top cell in terms of the base.
Read articleLearn to draw a line graph with a sensible scale, read values and find the interval of greatest change, compare two series plotted together, and ask a good question of an infographic.
Read articleLearn why the distances above and below the mean always cancel, predict how the mean moves when a new value is added, see how the median responds instead, and compute both from a frequency table.
Read articleLearn to draw the front, top and side views of a solid or a stack of cubes, rebuild a solid from its three views, and draw a cube or cuboid on isometric grid paper.
Read articleLearn to identify the solid a net folds into, count vertices, edges and faces of prisms and pyramids, test whether an arrangement closes up, and find the shortest surface path across a cuboid by unfolding it.
Read articleLearn what self-similarity means and how to draw the next stage of a Sierpinski Carpet, Gasket or Koch Snowflake, count pieces as powers, track the shrinking area and growing boundary, and spot fractals in Indian architecture.
Read articleLearn to turn each share of data into a sector angle, read a quantity back off a given pie chart, test inverse proportion with a constant product, and solve worker-and-time or speed-and-time problems.
Read articleLearn to test direct proportion with a constant quotient, convert between map and ground distance using a scale, handle a ratio with three terms, and share a quantity among three or more people.
Read articleLearn to test whether three integers form a triple, generate endless new triples from a known one, use the converse to detect a right angle, and model real distance and height problems.
Read articleLearn to use the Baudhayana-Pythagoras theorem to find a missing side, derive the diagonal of a square as a times root 2, justify the theorem by rearranging squares, and see why root 2 can never be written exactly.
Read articleLearn to calculate percentage increase and decrease, work out profit, loss and discount, add tax to a price, and find the amount and compound interest on a principal.
Read articleLearn to convert freely between percentages, fractions and decimals, find a percentage of a quantity, work backwards from a part to the whole, and turn a ratio into percentages that total 100.
Read articleLearn to solve word problems by setting up a proportion, split a quantity in a given ratio using share fractions, convert between units proportionally, and compare two rates fairly.
Read articleLearn to write and simplify a ratio, test two ratios for proportion by cross-multiplying, find a missing term in a proportion, and read a table to decide whether two quantities change by the same factor.
Read articleLearn the identities for a sum squared and a difference squared, use the difference of two squares to compute products instantly, and learn to spot and correct a wrong expansion.
Read articleLearn to expand and factorise with the distributive property, multiply two binomials without missing a term, use the same idea to do awkward products mentally, and verify the commutative and associative properties.
Read article