Brainlag Learn
Short lessons built around the Brainlag tools, then exam-style questions with mark schemes and worked solutions. Every question has new numbers each time.
GCSE Maths
For AQA 8300, Pearson Edexcel 1MA1 and OCR J560 specifications.
- Place value, rounding and boundsThe number skills every other topic leans on: place value, calculating without a calculator, factors and primes, rounding, estimating and bounds.5 lessons, 45 question types, topic test
- Fractions, decimals and percentagesCalculate with fractions and mixed numbers, move between fractions, decimals and percentages, and solve percentage problems, including reverse percentages.5 lessons, 42 question types, topic test
- Powers, roots and standard formSquares, cubes and roots, the laws of indices (negative and fractional too), and very large and very small numbers in standard form.5 lessons, 42 question types, topic test
- SurdsExact answers with square roots: simplifying, multiplying and expanding, rationalising denominators, and surds in Pythagoras and quadratics. Higher tier.4 lessons, 41 question types, topic test
- Algebraic expressionsThe language of algebra: writing and substituting into expressions, simplifying, expanding brackets, factorising, and telling expressions, equations, formulae and identities apart.5 lessons, 41 question types, topic test
- Linear equations and inequalitiesSolve linear equations of every shape, including brackets and fractions, form equations from problems, and solve and show inequalities.5 lessons, 41 question types, topic test
- Formulae and rearrangingSubstitute into formulae, write your own, change the subject (including when it appears twice) and use rearranged formulae from science and finance.5 lessons, 41 question types, topic test
- Straight-line graphsCoordinates and midpoints, gradients and intercepts, the equation of a line, parallel and perpendicular lines, and straight-line graphs in real life.5 lessons, 43 question types, topic test
- QuadraticsExpanding and factorising, three ways to solve, and what the graph of a quadratic tells you.5 lessons, 43 question types, topic test
- Simultaneous equationsSolve two equations at once by elimination, substitution and graphs, form them from problems, and (Higher) solve a linear and a quadratic equation together.5 lessons, 40 question types, topic test
- SequencesTerm-to-term rules, the nth term of linear sequences, special sequences, geometric sequences and (Higher) the nth term of quadratic sequences.5 lessons, 40 question types, topic test
- Functions and graph transformationsFunction notation, composite and inverse functions, the shapes of standard graphs, translations and reflections of y = f(x), and the graphs of sin, cos and tan (Higher).5 lessons, 44 question types, topic test
- Proof and iterationAlgebraic proof and counterexamples, then finding roots that do not come out exactly: changes of sign and iteration. Higher tier.4 lessons, 40 question types, topic test
- Ratio and proportionConvert units and use scales, write and simplify ratios, share amounts in a ratio, compare best buys and exchange rates, and solve direct and inverse proportion problems.5 lessons, 43 question types, topic test
- Rates, compound measures and growthSpeed, density and pressure, rates of change read from graphs, compound interest and depreciation, and exponential growth and decay.5 lessons, 40 question types, topic test
- Angles, polygons and parallel linesAngle facts on lines, at points and in triangles, angles with parallel lines, quadrilaterals, interior and exterior angles of polygons, and chains of reasoning.5 lessons, 40 question types, topic test
- Constructions, loci and bearingsThree-figure bearings, scale drawings and maps, ruler-and-compass constructions, and loci: sets of points that follow a rule.4 lessons, 40 question types, topic test
- Area, perimeter and volumePerimeter and area of rectangles, triangles, parallelograms, trapeziums and compound shapes, circles, arcs and sectors, and the volume and surface area of prisms, cylinders, pyramids, cones and spheres.5 lessons, 49 question types, topic test
- Pythagoras and trigonometryPythagoras' theorem, sin, cos and tan in right-angled triangles, angles of elevation, depression and bearings, exact values, 3D problems, and the sine and cosine rules.5 lessons, 50 question types, topic test
- Circles and circle theoremsThe parts of a circle, the circle theorems and how to give them as reasons, tangents, chains of reasoning, and the equation of a circle centred at the origin with its tangents.5 lessons, 44 question types, topic test
- Transformations, congruence and similarityTranslations, reflections, rotations and enlargements on a grid and how to describe them fully, combined transformations and invariant points, the congruence conditions, and similar shapes with their length, area and volume scale factors.5 lessons, 46 question types, topic test
- VectorsColumn vectors and how to add, subtract and multiply them, vectors between points, and vector geometry and proof in terms of a and b.4 lessons, 41 question types, topic test
- ProbabilityProbabilities of single events, relative frequency, sample spaces, Venn diagrams and two-way tables, tree diagrams, and conditional probability.5 lessons, 40 question types, topic test
- Statistics and chartsAverages and range, frequency tables, charts and diagrams, scatter graphs and sampling, and (Higher) cumulative frequency, box plots and histograms.5 lessons, 47 question types, topic test
GCSE Physics
For AQA 8463 and 8464, Pearson Edexcel 1PH0 and 1SC0, OCR Gateway J249 and J250 specifications.
- Energy stores, transfers and efficiencyEnergy stores and how energy moves between them, kinetic and potential energy, specific heat capacity, power, efficiency and the energy resources that make our electricity.6 lessons, 50 question types, topic test
- Electric circuitsCircuit symbols, charge and current, V = IR, I-V graphs, series and parallel circuits, and sensing circuits with LDRs and thermistors.6 lessons, 49 question types, topic test
- Mains electricity, the National Grid and staticDirect and alternating current, the three-core cable and plug, electrical power and energy, the cost of electricity, the National Grid and transformers, and static charge and electric fields.6 lessons, 52 question types, topic test
- Particle model, density and gas pressureDensity and its required practical, changes of state, specific latent heat and the particle model of gas pressure.6 lessons, 41 question types, topic test
- Atomic structure and radioactivityThe nuclear atom and how its model developed, isotopes, alpha, beta and gamma radiation, nuclear equations, half-life, the hazards and uses of radiation, and fission and fusion.6 lessons, 47 question types, topic test
- Forces, work, elasticity, moments and pressureWeight and resultant forces, work done, stretching springs and their required practical, moments, levers and gears, and pressure in fluids.6 lessons, 47 question types, topic test
- Forces and motionSpeed, velocity and acceleration, the graphs that show them, the equations of motion, Newton's laws and stopping distances.6 lessons, 56 question types, topic test
- MomentumMomentum as mass times velocity, its conservation in collisions and explosions, force as the rate of change of momentum, safety features and kinetic energy in collisions (Higher tier).5 lessons, 42 question types, topic test
- Waves and the electromagnetic spectrumTransverse and longitudinal waves, v = fλ and the wave practicals, reflection and refraction, and the electromagnetic spectrum with its uses, dangers and the infrared practical.5 lessons, 47 question types, topic test
- Lenses, visible light, sound and black bodiesReflection and the glass block practical, colour and filters, lenses and magnification, sound and echoes, ultrasound and seismic waves, and black body radiation (Physics only).6 lessons, 47 question types, topic test
- Magnetism and electromagnetismMagnets and field lines, electromagnets, the motor effect and F = BIl, then loudspeakers, induced potential difference, generators, microphones and transformers.6 lessons, 47 question types, topic test
- Space physicsThe solar system and the Milky Way, the life cycle of a star, orbits and orbital speed, red-shift and the expanding universe, and what is still unknown.5 lessons, 42 question types, topic test
- Required practicals, maths skills and the equationsThe skills every physics paper tests: units and standard form, uncertainty and errors, planning, graphs, the equations and the required practicals side by side.6 lessons, 46 question types, topic test
GCSE Chemistry
For AQA 8462 and 8464, Pearson Edexcel 1CH0 and 1SC0, OCR Gateway J248 and J250 specifications.
- Atomic structure and the periodic tableAtoms, formulae and equations, separating mixtures, the model of the atom, isotopes, electrons in shells and the groups of the periodic table.6 lessons, 41 question types, topic test
- Bonding, structure and the properties of matterIonic, covalent and metallic bonding, the structures they make, and how structure explains melting points, conduction and hardness, with nanoparticles for separate Chemistry.6 lessons, 47 question types, topic test
- Quantitative chemistry and the moleConservation of mass, relative formula mass, percentages and concentrations, the mole, reacting masses, empirical formulae, yield, atom economy, titrations and gas volumes.6 lessons, 51 question types, topic test
- Chemical changes: reactivity, acids and electrolysisThe reactivity series and metal extraction, oxidation and reduction, acids, salts and pH, titrations, and electrolysis of melts and solutions.6 lessons, 48 question types, topic test
- Energy changesExothermic and endothermic reactions, the temperature change practical, reaction profiles, bond energies, cells and fuel cells.5 lessons, 40 question types, topic test
- Rates of reaction and equilibriumMeasuring and graphing rates, collision theory and the factors that change a rate, the rates required practical, reversible reactions and how conditions move an equilibrium.6 lessons, 45 question types, topic test
- Organic chemistryCrude oil and the alkanes, combustion and cracking, then alkenes, alcohols, carboxylic acids, esters and polymers for separate Chemistry, with the formula and mass calculations that go with them.6 lessons, 47 question types, topic test
- Chemical analysisPurity and formulations, chromatography and Rf values, tests for gases, and for separate Chemistry the tests for ions and flame emission spectroscopy.5 lessons, 44 question types, topic test
- The atmosphere and using resourcesThe air now and how it formed, greenhouse gases and pollutants, potable water and its practical, life cycles and recycling, corrosion and materials, and the Haber process with fertilisers.6 lessons, 46 question types, topic test
- Required practicals and maths skillsThe skills behind every chemistry practical and calculation: units, uncertainty, titrations, graphs, the equations and planning.6 lessons, 41 question types, topic test
GCSE Biology
For AQA 8461 and 8464, Pearson Edexcel 1BI0 and 1SC0, OCR Gateway J247 and J250 specifications.
- Cell biologyCell structure, microscopy and magnification, specialised and stem cells, mitosis, diffusion, osmosis and active transport, and culturing bacteria.6 lessons, 51 question types, topic test
- Organisation: tissues, organs, digestion and circulationLevels of organisation, digestion and enzymes with the amylase and food test practicals, the heart, blood and lungs, heart disease and cancer, and transport in plants.6 lessons, 47 question types, topic test
- Infection and responsePathogens and how they spread, the body's defences and the immune system, vaccines, antibiotics and resistance, drug trials, and (Biology only) monoclonal antibodies and plant disease.6 lessons, 46 question types, topic test
- Bioenergetics: photosynthesis and respirationPhotosynthesis and its rate, limiting factors and the pondweed practical, aerobic and anaerobic respiration, exercise and metabolism.5 lessons, 42 question types, topic test
- Homeostasis and responseHow the nervous and hormonal systems keep the body's internal conditions steady: reflexes and reaction time, blood glucose and diabetes, reproductive hormones and contraception, the brain, eye, temperature and kidneys, and plant hormones.6 lessons, 47 question types, topic test
- Inheritance, variation and evolutionMeiosis and DNA, Punnett squares and family trees, inherited disorders and embryo screening, natural selection, selective breeding, genetic engineering and cloning, and classification.6 lessons, 55 question types, topic test
- EcologyCommunities and adaptations, sampling with quadrats, transects and capture-recapture, food chains and the carbon and water cycles, decay, biodiversity and human impact, biomass transfer and food security.6 lessons, 44 question types, topic test
- Required practicals and maths skillsThe skills behind every biology practical: units and magnification, means and percentages, rates and graphs, sampling, ratios and planning.6 lessons, 40 question types, topic test
GCSE Computer Science
For AQA 8525, OCR J277 and Pearson Edexcel 1CP2 specifications.
- AlgorithmsComputational thinking, linear and binary search, bubble, insertion and merge sort, step by step, and how to compare algorithms.5 lessons, 44 question types, topic test
- Programming in exam styleData types, operators, selection, loops, arrays, strings, subroutines, robust programs, SQL and files, read and traced the way exam papers ask.6 lessons, 42 question types, topic test
- Databases and SQLTables, records and fields, primary and foreign keys, why linked tables beat one big table, SQL queries over one or two tables, changing data with INSERT, UPDATE and DELETE, and reading and writing CSV files.3 lessons, 47 question types, topic test
- Data representationBinary, denary and hexadecimal, binary addition and shifts, two's complement, characters, images, sound and compression, with every number generated and checked.5 lessons, 49 question types, topic test
- Computer systemsThe CPU and the fetch-execute cycle step by step, what makes a CPU fast, RAM, ROM and virtual memory, secondary storage, and system software.5 lessons, 46 question types, topic test
- Networks and protocolsLANs, WANs and PANs, network hardware, star, mesh and bus topologies, the internet and DNS, IP and MAC addresses, protocols and layers, network security, and transfer time calculations.4 lessons, 48 question types, topic test
- Cyber securityMalware and social engineering, brute force, denial of service, SQL injection and interception, and the defences against them, with Caesar ciphers and password maths.4 lessons, 45 question types, topic test
- Boolean logicAND, OR, NOT and XOR gates, truth tables, expressions and circuits, built by hand in an interactive gate builder and used to describe real systems.3 lessons, 40 question types, topic test
- Languages and translatorsHigh-level and low-level languages, machine code and assembly language, compilers, interpreters and assemblers, IDEs, and the three kinds of error.3 lessons, 40 question types, topic test
- Ethical, legal and environmental impactsPrivacy, fairness, jobs and the digital divide; the Data Protection Act, Computer Misuse Act and copyright; open source and proprietary licences; the energy and e-waste behind our devices; and the questions raised by wearables, implants, self-driving cars, AI and robots, with patents, trademarks and licences.4 lessons, 47 question types, topic test
- AQA GCSE Computer Science (8525) mock examA timed mock of 40 original questions across the AQA 8525 specification, with fresh numbers every time you sit it.1 lessons, 43 question types, topic test
- OCR GCSE Computer Science (J277) mock examA timed mock of 40 original questions across the OCR J277 specification, with fresh numbers every time you sit it.1 lessons, 47 question types, topic test
- Pearson Edexcel GCSE Computer Science (1CP2) mock examA timed mock of 40 original questions across the Pearson Edexcel 1CP2 specification, with fresh numbers every time you sit it.1 lessons, 46 question types, topic test
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