Solving linear equations step by step (with examples)
Learn the balance method for solving linear equations, including brackets and x on both sides, with worked examples for GCSE and Algebra 1.
KS3GCSEMiddle SchoolHigh SchoolUS · Grades 9–12
High school study guides for math, science and English
Find help with Algebra 1 and 2, Geometry, biology, chemistry, physics, English and US history. Every guide has worked examples step by step, five practice questions with explanations, and a printable PDF.
StudyMorrow guides are independent study aids, not official course materials, so check your own syllabus or exam specification.
➗ High School Math
See all 43 →Pythagoras' theorem: how to find a missing side
Use a² + b² = c² to find any side of a right-angled triangle. Worked examples for GCSE, and the Pythagorean theorem in US Geometry.
KS3GCSEMiddle SchoolHigh SchoolMean, median, mode and range: how to work them out
Find the mean, median, mode and range of a data set with clear worked examples, and learn which average to use when there is an outlier.
KS3GCSEMiddle SchoolHigh SchoolSolving quadratic equations: factorising and the formula
Solve quadratics by factorising and with the quadratic formula, using worked examples. Covers GCSE quadratic equations and Algebra 1 and 2 methods.
GCSEA-LevelHigh SchoolExpanding and factorising brackets (factoring) explained
Multiply out single and double brackets, take out common factors and use the difference of two squares. GCSE factorising and US factoring.
GCSEHigh SchoolSOH CAH TOA: how to find sides and angles in a triangle
Use sine, cosine and tangent to find missing sides and angles in right-angled triangles, with step-by-step examples for GCSE and high school Geometry.
GCSEHigh SchoolArea and circumference of a circle: formulas and examples
Learn the area and circumference formulas for circles, how to use radius and diameter, and how to work with semicircles, with worked examples.
KS3GCSEMiddle SchoolHigh SchoolSimultaneous equations (systems of equations) step by step
Solve two equations with two unknowns using elimination and substitution. Worked examples for GCSE simultaneous equations and Algebra 1 systems.
GCSEHigh SchoolProbability basics: how to calculate the chance of an event
Learn how to calculate probability, use 'not' events and find the probability of two events together, with worked examples for KS3 and GCSE.
KS3GCSEMiddle SchoolHigh SchoolBIDMAS and PEMDAS: the order of operations explained
Learn the correct order for working out a calculation, with worked examples and common traps. BIDMAS in the UK is the same as PEMDAS in the US.
KS3GCSEMiddle SchoolHigh SchoolNegative numbers: how to add, subtract, multiply and divide
Learn the rules for working with negative numbers, including subtracting a negative and multiplying signs, with number-line examples.
KS3GCSEMiddle SchoolHigh SchoolFactors, multiples and prime numbers explained
Learn what factors, multiples and prime numbers are, how to list them and how to test whether a number is prime, with worked examples.
KS3GCSEMiddle SchoolHigh SchoolHCF and LCM using prime factorisation (GCF and LCM)
Write numbers as products of primes, then find the highest common factor (greatest common factor in the US) and the lowest common multiple.
GCSEMiddle SchoolHigh SchoolFractions, decimals and percentages: how to convert them
Switch between fractions, decimals and percentages, including recurring decimals, with worked examples and practice questions to check your answers.
KS3GCSEMiddle SchoolHigh SchoolRatio and proportion: how to simplify, share and scale
Simplify ratios, share an amount in a ratio and solve scaling problems with the unit method, with worked examples for GCSE and middle school.
KS3GCSEMiddle SchoolHigh SchoolIndices and exponent rules: the laws of indices explained
Learn the index laws for multiplying, dividing and raising powers, plus zero and negative indices. UK indices and US exponent rules, with examples.
GCSEHigh SchoolStandard form (scientific notation): write and calculate
Write very large and very small numbers in standard form, convert them back and multiply them, with worked examples for GCSE and high school.
GCSEHigh SchoolSimplifying algebraic expressions: collecting like terms
Collect like terms, multiply and divide algebraic terms and simplify expressions with brackets, with step-by-step examples and practice questions.
KS3GCSEMiddle SchoolHigh SchoolRearranging formulae: how to change the subject
Make any letter the subject of a formula using inverse operations, with worked examples including squares and square roots.
GCSEHigh SchoolSolving inequalities and showing them on a number line
Solve linear inequalities, including double inequalities, and remember to reverse the sign when dividing by a negative, with worked examples.
GCSEHigh SchoolStraight line graphs: gradient and y = mx + c
Plot straight lines, work out the gradient and read the equation from a graph. Covers y = mx + c (slope-intercept form), with worked examples.
GCSEHigh SchoolFind the equation of a line from two points
Work out the gradient (slope), find the y-intercept and write the equation of a line, plus parallel and perpendicular lines and midpoints.
GCSEA-LevelHigh Schoolnth term of a sequence: how to find it (with examples)
Find the nth term of arithmetic sequences, test whether a number is in a sequence and meet geometric and quadratic sequences, with worked examples.
GCSEHigh SchoolQuadratic graphs: roots, turning points and symmetry
Sketch parabolas and find the roots, y-intercept, line of symmetry and turning point (vertex) of a quadratic, with step-by-step worked examples.
GCSEA-LevelHigh SchoolCompleting the square: method, examples and solutions
Rewrite quadratics in completed-square form to solve equations and find the turning point, with step-by-step examples for GCSE Higher and Algebra 2.
GCSEA-LevelHigh SchoolFunction notation: f(x), composite and inverse functions
Understand f(x) notation, work out composite functions such as fg(x) and find inverse functions, with worked examples for GCSE Higher and Algebra 2.
GCSEA-LevelHigh SchoolExponential growth and decay: formulas and worked examples
Model repeated percentage change with y = a × bˣ, including compound growth, depreciation and doubling, with step-by-step examples.
GCSEA-LevelHigh SchoolDirect and inverse proportion: find k and solve problems
Use y = kx and y = k/x to solve direct and inverse proportion problems, including y proportional to x squared, with worked examples.
GCSEHigh SchoolAngles in parallel lines and polygons: rules and reasons
Learn the angle rules for straight lines, triangles, parallel lines and polygons, and how to give a reason for each step, with worked examples.
KS3GCSEMiddle SchoolHigh SchoolArea of 2D shapes: rectangle, triangle, trapezium and more
Calculate the perimeter and area of rectangles, triangles, parallelograms, trapeziums (trapezoids) and compound shapes, with worked examples.
KS3GCSEMiddle SchoolHigh SchoolVolume and surface area of 3D shapes: formulas and examples
Find the volume and surface area of cuboids, prisms, cylinders, cones and spheres, with worked examples and a quick formula list.
GCSEHigh SchoolSimilar shapes: scale factors, area and volume
Use scale factors to find missing lengths, and learn how area and volume scale with k squared and k cubed, with worked examples.
GCSEHigh SchoolTransformations: reflection, rotation, translation, enlargement
Describe and carry out the four transformations on a coordinate grid, including the details examiners expect, with worked examples.
GCSEHigh SchoolCongruent triangles: SSS, SAS, ASA and RHS explained
Learn the congruence conditions for triangles, why AAA does not prove congruence and how to use them in simple proofs, with worked examples.
GCSEHigh SchoolSine rule and cosine rule: formulas and worked examples
Solve non-right-angled triangles with the sine and cosine rules (law of sines and law of cosines) and find a triangle's area, with examples.
GCSEA-LevelHigh SchoolSurds (radicals): simplifying and rationalising
Simplify surds, calculate with them and rationalise denominators, with step-by-step examples. UK surds and US radicals, for GCSE Higher and Algebra 2.
GCSEA-LevelHigh SchoolScatter graphs: correlation and the line of best fit
Plot scatter graphs, describe correlation, draw a line of best fit and make estimates, and learn why correlation does not mean causation.
KS3GCSEMiddle SchoolHigh SchoolTree diagrams and conditional probability explained
Draw tree diagrams for independent and dependent events, including picks without replacement, with worked examples and common mistakes.
GCSEHigh SchoolCumulative frequency graphs and box plots explained
Find the median, quartiles and interquartile range, draw box plots (box and whisker plots) and compare data sets, with worked examples.
GCSEHigh SchoolReverse percentages and compound interest: step by step
Work backwards from a final price to the original amount, and calculate compound interest, with worked examples and practice questions.
GCSEHigh SchoolCircle theorems explained: rules, examples and reasons
Learn the main circle theorems and use them to find angles with a reason for every step. GCSE Higher and high school Geometry, with worked examples.
GCSEA-LevelHigh SchoolLogarithms explained: laws, examples and solving equations
Understand logarithms as the inverse of powers, use the log laws and solve simple exponential equations. Algebra 2 and A-Level, with examples.
High SchoolA-LevelAPVenn diagrams and set notation: how to read and use them
Use sets, Venn diagrams and the symbols for union, intersection and complement to solve problems and find probabilities, with examples.
KS3GCSEMiddle SchoolHigh School🧬 High School Biology
See all 13 →Photosynthesis explained: equation, process and limiting factors
Learn how plants make glucose and oxygen from light, water and carbon dioxide, with the equation, limiting factors and practice questions.
KS3GCSEMiddle SchoolHigh School+1Plant and animal cells: parts, functions and magnification
Learn the parts of plant and animal cells, what each one does and how to calculate magnification, with worked examples and practice questions.
KS3GCSEMiddle SchoolHigh School+1Aerobic and anaerobic respiration: equations and differences
Compare aerobic and anaerobic respiration in animals and yeast, with the equations, oxygen debt and practice questions to test yourself.
GCSEHigh SchoolAPDNA, genes and inheritance: Punnett squares explained
Understand genes, alleles, dominant and recessive traits and how to complete a Punnett square, with worked examples for GCSE and high school.
GCSEA-LevelHigh SchoolAPEnzymes and digestion: how they work and what affects them
Learn how enzymes work, why temperature and pH matter and which enzymes digest starch, protein and fat, with worked examples.
GCSEHigh SchoolAPMitosis and the cell cycle: stages explained step by step
Learn what happens at each stage of mitosis, why cells divide and how to count cells after division, with worked examples and practice questions.
GCSEHigh SchoolAPMeiosis explained: how gametes form and why it matters
See how meiosis makes four different gametes, how it differs from mitosis and why sexual reproduction creates variation, with practice questions.
GCSEHigh SchoolAPNatural selection and evolution: how it works, with examples
Understand variation, competition and inheritance, with examples such as peppered moths and antibiotic resistance, and practice questions.
GCSEHigh SchoolAPFood chains and food webs: producers, consumers and energy
Read food chains and food webs, name trophic levels and calculate how much energy passes between them, with worked examples.
KS3GCSEMiddle SchoolHigh SchoolThe heart and circulatory system: structure and function
Learn the chambers of the heart, how blood flows around the body and how to calculate cardiac output, with worked examples.
GCSEHigh SchoolThe reflex arc and nervous system: pathway and examples
Follow the pathway from stimulus to response, and learn how reflexes differ from voluntary actions, with worked examples.
GCSEHigh SchoolHomeostasis: blood glucose, temperature and negative feedback
Learn how the body keeps conditions steady, how insulin and glucagon control blood glucose and what happens in diabetes, with examples.
GCSEHigh SchoolAPDiffusion, osmosis and active transport: differences explained
Compare how substances move into and out of cells, what affects the rate and how to calculate percentage change in a potato practical.
GCSEHigh SchoolAP⚗️ High School Chemistry
See all 13 →Atoms and the periodic table: protons, neutrons, electrons
Learn atomic structure, atomic and mass number, isotopes and how the periodic table is organised, with worked examples.
KS3GCSEMiddle SchoolHigh SchoolIonic and covalent bonding: how atoms join, with examples
Compare ionic and covalent bonding, write ionic formulae and explain properties such as melting point and electrical conductivity.
GCSEA-LevelHigh SchoolAPAcids, bases and the pH scale: reactions and neutralisation
Read the pH scale, write neutralisation equations and name the salts acids make, with a titration calculation for Higher tier.
GCSEHigh SchoolBalancing chemical equations: a step-by-step method
Learn how to balance equations by counting atoms, with worked examples including combustion, plus practice questions with explained answers.
GCSEHigh SchoolMoles and molar mass: calculations explained step by step
Convert between mass and moles using Mr, use balanced equations to find reacting masses and calculate concentration, with worked examples.
GCSEA-LevelHigh SchoolAPStates of matter: solids, liquids, gases and changes of state
Use the particle model to explain melting, boiling and condensing, and why temperature stays constant during a change of state.
KS3GCSEMiddle SchoolHigh SchoolElectron configuration (electronic structure) and ions
Write electron shell diagrams for the first 20 elements and work out the charges of ions, with worked examples and practice questions.
GCSEHigh SchoolThe reactivity series: displacement reactions and extraction
Order metals by reactivity, predict displacement reactions and link the reactivity series to how metals are extracted, with worked examples.
GCSEHigh SchoolRates of reaction: collision theory and factors that affect it
Learn how temperature, concentration, surface area and catalysts change the rate of a reaction, and how to calculate a mean rate.
GCSEHigh SchoolElectrolysis explained: products at each electrode
See how electricity splits ionic compounds, and predict the products at the anode and cathode for molten and aqueous solutions.
GCSEA-LevelHigh SchoolAlkanes and alkenes: formulae, combustion and bromine test
Learn the hydrocarbon families, their general formulae, how they burn and how bromine water tells them apart, with worked examples.
GCSEA-LevelHigh SchoolExothermic and endothermic reactions: energy changes explained
Tell exothermic from endothermic reactions, read reaction profiles and calculate energy change from bond energies, with worked examples.
GCSEHigh SchoolChromatography and separation techniques: Rf values explained
Choose between filtration, crystallisation and distillation, and calculate Rf values in chromatography, with worked examples.
KS3GCSEMiddle SchoolHigh School⚡ High School Physics
See all 14 →Newton's laws of motion explained with worked examples
Learn Newton's three laws, use F = ma and understand inertia and action-reaction pairs, with worked examples and practice questions.
KS3GCSEMiddle SchoolHigh SchoolSpeed, velocity and acceleration: formulas and examples
Calculate speed and acceleration, read distance-time and velocity-time graphs and use v² = u² + 2as, with worked examples.
KS3GCSEMiddle SchoolHigh SchoolKinetic and potential energy: formulas and worked examples
Use the kinetic and gravitational potential energy formulas, apply conservation of energy and calculate efficiency, with worked examples.
GCSEHigh SchoolOhm's law and electric circuits: series and parallel
Use V = IR, compare series and parallel circuits and calculate power, with worked examples and practice questions.
GCSEHigh SchoolThe wave equation: wavelength, frequency and wave speed
Use v = fλ, tell transverse from longitudinal waves and put the types of electromagnetic radiation in order, with worked examples.
GCSEHigh SchoolResultant forces and free body diagrams (net force)
Add forces to find the resultant (net) force, draw free body diagrams and calculate weight, with worked examples and practice questions.
KS3GCSEMiddle SchoolHigh SchoolMomentum and collisions: p = mv and conservation of momentum
Calculate momentum, solve collision problems with conservation of momentum and link force to change in momentum, with worked examples.
GCSEHigh SchoolDensity: formula, units and how to measure it
Use density = mass ÷ volume, convert units and measure the density of regular and irregular objects, with worked examples.
KS3GCSEMiddle SchoolHigh SchoolPressure in solids, liquids and gases: formulas and examples
Calculate pressure from force and area, find pressure in liquids and see how atmospheric pressure changes, with worked examples.
GCSEHigh SchoolHalf-life and radioactivity: alpha, beta and gamma explained
Compare alpha, beta and gamma radiation and use half-life in calculations, with worked examples and practice questions.
GCSEHigh SchoolMagnets and electromagnetism: fields, motors and F = BIl
Learn magnetic fields, how electromagnets work and the motor effect, with a worked force calculation and practice questions.
GCSEHigh SchoolRefraction and reflection of light: rules and ray diagrams
Learn the law of reflection and how light bends when it changes medium, with ray diagram examples and practice questions.
KS3GCSEMiddle SchoolHigh SchoolSpecific heat capacity: formula and worked examples
Use the specific heat capacity equation to calculate the energy needed to heat a material, with worked examples and practice questions.
GCSEHigh SchoolWork done and power: formulas and worked examples
Calculate the work done by a force and the power of a machine or appliance, with step-by-step examples and practice questions.
KS3GCSEMiddle SchoolHigh School📖 High School English
See all 25 →How to write a thesis statement (with strong examples)
Turn a topic into a clear, arguable claim for your essay, with a simple formula, weak and strong examples and a quick test.
GCSEA-LevelHigh SchoolAPApostrophes and commas: its vs it's and comma splices fixed
Fix the most common punctuation mistakes: its and it's, possession with apostrophes and comma splices, with examples and practice.
KS3GCSEMiddle SchoolHigh SchoolPEEL and CER paragraphs: how to structure analysis
Build clear paragraphs with PEEL (UK) or Claim-Evidence-Reasoning (US), with worked examples for English and science answers.
KS3GCSEA-LevelMiddle School+2Persuasive writing techniques: rhetorical devices explained
Use ethos, pathos, logos and devices such as the rule of three and rhetorical questions in speeches and articles, with examples.
KS3GCSEMiddle SchoolHigh School+1Simile, metaphor and personification: techniques explained
Spot and explain similes, metaphors, personification, alliteration and onomatopoeia, and learn how to describe their effect.
KS3GCSEMiddle SchoolHigh SchoolSimple, compound and complex sentences explained
Identify clauses and build simple, compound and complex sentences for clearer, more varied writing, with examples.
KS3GCSEMiddle SchoolHigh SchoolSemicolons, colons and dashes: how to use them correctly
Link ideas with semicolons, introduce lists with colons and add emphasis with dashes, with clear rules and examples.
GCSEHigh SchoolAPSubject-verb agreement: rules and tricky cases
Make verbs agree with their subjects, including collective nouns, either/or and phrases that sit between the subject and the verb.
KS3GCSEMiddle SchoolHigh SchoolActive and passive voice: how to spot and change them
Recognise and convert active and passive sentences, and learn when each voice is the better choice, with examples.
GCSEHigh SchoolCommonly confused words: their, there, affect and effect
Choose between their, there and they're, affect and effect, your and you're, and other mixed-up words, with a quick test for each pair.
KS3GCSEMiddle SchoolHigh SchoolSpelling rules and patterns that help you spell more words
Learn the most useful spelling rules for endings, plurals and prefixes, with common exceptions and UK and US spelling differences.
KS3GCSEMiddle SchoolHigh SchoolEssay structure: how to plan and write a clear essay
Plan an essay step by step, from brainstorming to a strong introduction, well-organised paragraphs and a conclusion that answers the question.
GCSEA-LevelHigh SchoolAPConnectives and transition words: link your ideas smoothly
Use linking words to connect ideas within and between paragraphs so your writing flows, with examples for each type.
KS3GCSEMiddle SchoolHigh SchoolHow to embed quotations in an essay (with examples)
Weave short quotations into your sentences and comment on key words, instead of dropping them in, with before-and-after examples.
GCSEA-LevelHigh SchoolAPLanguage analysis: how to analyse a quotation
Break a quotation down by word class, connotation and effect with the zoom-in method, to write detailed analysis.
GCSEA-LevelHigh SchoolAPAnalysing structure in texts: openings, shifts and endings
Look at how a writer organises a text, from openings and shifts in focus to pacing, sentence length and endings, with examples.
GCSEA-LevelHigh SchoolAPMaking inferences and retrieving information from a text
Find information stated directly in a text and read between the lines to infer what is not said, with examples.
KS3GCSEMiddle SchoolHigh SchoolHow to compare two texts: structure, connectives and examples
Plan and write a comparison using similarities, differences and comparative connectives, with a clear method.
GCSEA-LevelHigh SchoolAPDescriptive writing: techniques and examples that work
Use the senses, 'show, don't tell', figurative language and varied sentences to paint a picture with words.
KS3GCSEMiddle SchoolHigh SchoolNarrative writing: plot structure and how to start a story
Plan a story with a five-part plot structure, write a strong opening and punctuate dialogue correctly.
KS3GCSEMiddle SchoolHigh SchoolFormal letter and email writing: layout, tone and sign-off
Lay out a formal letter or email, choose the right sign-off and match your tone to your audience, with examples.
KS3GCSEMiddle SchoolHigh SchoolHow to read and analyse a Shakespeare play
Understand Shakespeare's language, verse and context so you can read and analyse his plays with confidence.
GCSEA-LevelHigh SchoolAPPoetry analysis: form, structure and language explained
Analyse a poem by looking at its form, rhyme, rhythm, structure and language, with a step-by-step approach.
GCSEA-LevelHigh SchoolAPLogical fallacies and how to evaluate an argument
Judge whether an argument is convincing and spot common logical fallacies such as ad hominem, straw man and false dilemma.
GCSEA-LevelHigh SchoolAPCiting sources: MLA, APA and Harvard basics for essays
Find reliable sources, avoid plagiarism by quoting and paraphrasing correctly and understand common citation styles.
GCSEA-LevelHigh SchoolAP🏛️ High School History
See all 7 →Causes of World War One: MAIN causes and the trigger
Learn the long-term causes of the First World War (militarism, alliances, imperialism, nationalism) and how the 1914 assassination set it off.
GCSEA-LevelHigh SchoolAPThe Industrial Revolution: causes, inventions and effects
Find out why the Industrial Revolution began in Britain, how factories and steam power changed life and what reforms followed.
KS3GCSEMiddle SchoolHigh School+1World War Two: causes, key events and timeline
Get a clear overview of why World War Two began, who fought, the key events and how the war ended in Europe and Asia.
KS3GCSEMiddle SchoolHigh School+1The US Constitution and Bill of Rights explained
Understand how the Constitution was written, the three branches of government, checks and balances and the first ten amendments.
Middle SchoolHigh SchoolAPThe Cold War: causes, key events and how it ended
Understand the rivalry between the US and the Soviet Union from 1945 to 1991, with key events such as the Berlin Wall and the Cuban Missile Crisis.
GCSEA-LevelHigh SchoolAPThe Weimar Republic and how Hitler rose to power
See why the Weimar Republic struggled, how the Great Depression helped the Nazis and how Hitler gained power in 1933.
GCSEA-LevelHigh SchoolAPThe Civil Rights Movement: key events, laws and leaders
Follow the struggle against segregation in the United States, from Brown v. Board of Education to the Civil Rights Act and Voting Rights Act.
Middle SchoolHigh SchoolAP🌍 High School Geography
See all 3 →Plate tectonics: boundaries, earthquakes and volcanoes
Learn how Earth's plates move, the three types of plate boundary and why earthquakes and volcanoes happen, with real examples.
KS3GCSEMiddle SchoolHigh SchoolClimate change: the greenhouse effect and the 1.5°C target
Understand the greenhouse effect, what the Paris Agreement's 1.5°C goal means and the difference between mitigation and adaptation.
GCSEA-LevelHigh SchoolAPRivers: erosion, transport, deposition and river landforms
Learn how rivers shape the land from source to mouth, and how V-shaped valleys, meanders and oxbow lakes form.
KS3GCSEMiddle SchoolHigh School💻 High School Computing
See all 6 →How AI works: machine learning and chatbots for students
Understand machine learning, training data and large language models, plus the limits of AI and how to use it responsibly.
KS3GCSEMiddle SchoolHigh SchoolStaying safe online: strong passwords, 2FA and phishing
Build strong passwords, turn on two-factor authentication and spot phishing messages, and know what to do if you click a bad link.
KS3GCSEMiddle SchoolHigh SchoolHow the internet works: IP addresses, DNS and packets
Learn what happens when you open a website, from DNS lookups to packets and HTTPS, in plain English.
KS3GCSEMiddle SchoolHigh SchoolBinary numbers: convert binary to decimal and back
Learn how computers store data as bits and bytes, convert between binary and decimal and add binary numbers, with worked examples.
KS3GCSEMiddle SchoolHigh SchoolBinary search and bubble sort: searching and sorting algorithms
Learn how linear search, binary search and bubble sort work, with step-by-step traces and when to use each.
GCSEA-LevelHigh SchoolProgramming basics: variables, if statements and loops
Understand variables, data types, selection and loops, with pseudocode examples you can trace by hand.
KS3GCSEMiddle SchoolHigh School🧠 High School Study skills
See all 14 →Active recall: the best way to revise (with examples)
Learn why testing yourself beats rereading, and four simple ways to use active recall: flashcards, blank-page recall and practice questions.
KS3GCSEA-LevelMiddle School+3Spaced repetition: how to remember what you revise
Review material at increasing gaps to remember it long term, with an example schedule and the Leitner box system.
KS3GCSEA-LevelMiddle School+3How to make a revision timetable you can stick to
Plan backwards from your exam dates and use focused study blocks with breaks, with a simple way to share your time between subjects.
KS3GCSEA-LevelMiddle School+3Exam command words: describe, explain and evaluate
Learn what describe, explain, compare, analyse and evaluate really ask you to do in an exam, using an exam board's definitions.
GCSEA-LevelHigh SchoolAPCornell notes: how to take notes you can revise from
Set up Cornell notes with cue, notes and summary sections, and turn them into a self-test for revision.
KS3GCSEA-LevelMiddle School+2Mind maps for revision: how to make them work
Use mind maps to organise a topic, then turn them into a memory test so they actually help you remember.
KS3GCSEA-LevelMiddle School+2Interleaving: mix topics in your revision to remember more
Learn why mixing question types in one session can improve long-term learning, with an example maths and science session plan.
GCSEA-LevelHigh SchoolAPHow to use past papers to revise (and review your mistakes)
Turn past papers into focused practice with timing, mark schemes and an error review that shows exactly what to fix.
GCSEA-LevelHigh SchoolAP+1Exam stress: practical ways to cope and when to ask for help
Practical, non-medical ways to cope with exam pressure, from planning and breaks to talking to someone you trust.
GCSEA-LevelHigh SchoolAP+1Mnemonics and the memory palace: remember lists and facts
Use acronyms, acrostics and the method of loci to remember lists and ordered facts, and learn when mnemonics help most.
KS3GCSEA-LevelMiddle School+2The Feynman technique: study by explaining it simply
Check your understanding by explaining a topic in plain language, spotting the gaps and fixing them.
KS3GCSEA-LevelMiddle School+2How to stay focused when studying (and avoid your phone)
Set up your space, plan sessions and manage your phone so your study time is actually productive.
KS3GCSEA-LevelMiddle School+2SQ3R: how to read a textbook and remember it
Survey, Question, Read, Recite and Review: a five-step routine for learning from textbooks and long texts.
GCSEA-LevelHigh SchoolAP+1Exam day plan: what to do the week before and on the day
Plan the last week, the night before and the exam itself: equipment, timing and how to check your work.
GCSEA-LevelHigh SchoolAP+1📝 High School Exam prep
See all 12 →Digital SAT explained: sections, timing and adaptive modules
How the Digital SAT works: the two sections, four modules, timing and how adaptive testing affects your second module.
Admissions testsHigh SchoolHow GPA works: weighted vs unweighted, with examples
Calculate your GPA on the 4.0 scale, see how weighted GPAs work and how one college, the University of California, calculates it.
High SchoolAdmissions testsSAT Math algebra: linear equations and systems practice
Practise the Digital SAT Algebra skills: linear equations, inequalities, systems of equations and linear models, with worked examples.
High SchoolAdmissions testsSAT Math advanced math: quadratics and exponentials
Practise quadratics, exponential models and equivalent expressions for the Digital SAT, with worked examples.
High SchoolAdmissions testsSAT Math practice: problem solving and data analysis
Practise ratios, percentages, unit conversion, scatterplots and probability in SAT-style problems, with worked examples.
High SchoolAdmissions testsSAT Math geometry and trigonometry: practice and formulas
Review area, volume, triangles, circles and right-triangle trigonometry for the Digital SAT, with worked examples.
High SchoolAdmissions testsSAT Reading and Writing: craft, structure and words in context
Practise vocabulary in context, text structure and purpose, and cross-text questions for the Digital SAT.
High SchoolAdmissions testsSAT Reading and Writing: information and ideas practice
Find central ideas, use text and data as evidence and draw supported inferences, the way the Digital SAT tests them.
High SchoolAdmissions testsSAT Writing: standard English conventions practice
Practise the sentence structure, usage and punctuation rules the Digital SAT tests, with a fast checking routine.
High SchoolAdmissions testsSAT Writing: transitions, concision and rhetorical synthesis
Choose the best transition, make wording more concise and use notes to meet a rhetorical goal on the Digital SAT.
High SchoolAdmissions testsSAT pacing strategy: timing for the adaptive modules
Understand the Digital SAT's modules and timing, and build a practical pacing plan for each section.
High SchoolAdmissions testsSAT study plan: an eight-week plan with official practice
An eight-week Digital SAT study plan that uses official practice tests, an error log and timed sets.
High SchoolAdmissions tests