Apprendre

Une question, une réponse directe, et la méthode détaillée en dessous.

La réponse en bref
Seize sujets issus de notre enseignement des niveaux 1 à 10, du GCSE et du SAT, chacun rédigé comme une question unique avec une réponse directe et une méthode résolue. Ce sont les explications que nos professeurs donnent en cours, mises par écrit.

How to Learn Times TablesMathématiquesStart with the 2, 5 and 10 tables, use the swap rule to halve the work, build hard facts from near ones, then drill only the ten or so that stay slow.
How to Do Long DivisionMathématiquesDivide, multiply, subtract, bring down — the four-step cycle repeated once per digit. A full worked example of 4728 ÷ 12, plus how to handle remainders.
How to Convert Between Fractions, Decimals and PercentagesMathématiquesDivide top by bottom for a decimal, multiply by 100 for a percentage, and reverse both to go back. Worked conversions for 3/8, 0.375, 37.5%, 45% and 9/20.
How to Solve Basic Algebra EquationsMathématiquesClear brackets, gather letters on one side and numbers on the other, then divide. A full worked solution of 3(2x + 1) = x + 18, with the check that proves it.
How to Solve Simultaneous EquationsMathématiquesScale the equations until one letter's coefficients match, add or subtract to remove it, then substitute back. Full worked solution of 3x + 2y = 19 and 4x − 5y = 10.
How to Solve Quadratic EquationsGCSE MathematicsRearrange to ax² + bx + c = 0, factorise into two brackets, or use the quadratic formula. Worked examples of x² + 5x = 24 and 3x² + 5x − 1 = 0, both checked.
How to Use Pythagoras' TheoremMathématiquesAdd the squares to find the hypotenuse, subtract to find a shorter side. Worked examples with a 5-12-13 triangle and a hypotenuse of 10, plus the converse test.
How to Use SOHCAHTOAGCSE MathematicsLabel opposite, adjacent and hypotenuse, tick the two sides that matter, then pick the ratio that uses both. Worked examples finding a side and finding an angle.
What Is Probability and How Do You Calculate It?MathématiquesProbability runs from 0 to 1. Count favourable outcomes over the total, use 1 − P(A) for the opposite, multiply for "and", add for "or", adjust without replacement.
What Is Photosynthesis?SciencesPlants use light energy to build glucose from carbon dioxide and water, releasing oxygen. The equation, the two stages, and the factors that limit the rate.
What Are the Parts of a Cell and What Do They Do?SciencesNucleus, mitochondria, ribosomes, membrane — what each organelle does, how prokaryotic and eukaryotic cells differ, and what plant cells have that animal cells lack.
How to Read the Periodic TableSciencesSeven periods, eighteen groups, ordered by atomic number. What each box tells you, why a group shares its chemistry, and where the metals and non-metals sit.
What Are Newton's Three Laws of Motion?SciencesAn object keeps its velocity unless a resultant force acts; that force equals mass times acceleration; and forces come in equal, opposite pairs on two objects.
How to Structure an EssayAnglaisWrite the thesis first, order the reasons, build each paragraph on one idea with evidence and explanation, and close by readdressing the argument you made.
How to Improve Reading ComprehensionAnglaisPreview the text, read in short chunks and retell each one, notice where understanding stops, and answer questions by returning to the line that proves it.
What Is on the Digital SAT Math Section?Préparation au SATTwo 35-minute modules, 44 questions, calculator throughout. Algebra and Advanced Math are 35% each; Problem-Solving and Data Analysis and Geometry 15% each.
Place Value ExplainedMathématiquesThe 4 in 4,000 and the 4 in 40 are the same digit worth a thousand times more. How columns work, and the misconceptions that survive into Grade 8.
Column Addition with CarryingMathématiquesCarrying is not a trick — it is what happens when a column holds ten or more. A worked example of 487 + 356, where the carried digit goes, and how to check.
Column Subtraction with BorrowingMathématiquesBorrowing is exchange run backwards — one ten broken into ten ones. A worked example of 604 − 287, how to handle zeros, and the errors that cost most marks.
Number BondsMathématiquesNumber bonds are the pairs that make a total instantly. Why bonds to 10 and 20 decide how well column methods work, and how to build genuine recall.
How to Round NumbersMathématiquesRounding to the nearest 10, 100 and to decimal places. Which digit decides, why 5 rounds up, and the chained-rounding trap that turns 2.449 into 2.5.
Estimation and Checking AnswersMathématiquesHow to estimate before calculating, check afterwards, and spot answers that cannot be right. The single cheapest source of extra marks in any maths exam.
Long MultiplicationMathématiquesLong multiplication of 342 × 27, why the second row gets a zero, where carried digits go, and how to check. The method that makes multi-digit multiplication routine.
Roman NumeralsMathématiquesI, V, X, L, C, D, M and the subtraction rule that makes IX nine and XI eleven. How to read and write Roman numerals, and why they show what place value gave us.
Negative NumbersMathématiquesWhy subtracting a negative adds, how the number line settles every argument, and the sign errors that cost marks in algebra for years afterwards.
Order of Operations (BIDMAS)MathématiquesBrackets, indices, division and multiplication, addition and subtraction. Why the last four are two pairs read left to right, not four ranked steps.
Prime Numbers and FactorsMathématiquesWhat makes a number prime, why 1 is not, how to build a factor tree, and how prime factorisation makes HCF and LCM straightforward instead of guesswork.
HCF and LCMMathématiquesHighest common factor and lowest common multiple using prime factorisation and Venn diagrams, plus how to decide which one a word problem is asking for.
Equivalent FractionsMathématiquesMultiplying or dividing top and bottom by the same number changes how a fraction looks, not what it is worth. Simplifying, comparing and the errors in between.
Adding and Subtracting FractionsMathématiquesWhy denominators must match before you add, how to find the lowest common denominator, and how to handle mixed numbers without losing the whole-number part.
Multiplying FractionsMathématiquesMultiply the tops, multiply the bottoms — no common denominator needed. Why 'of' means multiply, how cancelling first saves work, and why the answer gets smaller.
Dividing FractionsMathématiquesKeep, change, flip — and the reason it works. Why dividing by a fraction usually makes the answer bigger, with worked examples and the errors to avoid.
Decimal Place ValueMathématiquesDecimals continue the same place value columns to the right of the point. Why 0.5 is bigger than 0.25, and how to compare decimals reliably.
Ratio and ProportionMathématiquesHow to share an amount in a given ratio, when to use the unitary method, and the difference between a part-to-part ratio and a fraction of the whole.
Percentage Increase and DecreaseMathématiquesMultipliers make percentage change one step instead of two. How to increase, decrease, find a percentage change, and undo one with a reverse percentage.
Simple and Compound InterestMathématiquesSimple interest is calculated on the original amount; compound interest on the growing balance. The formulas, the difference, and depreciation.
Indices and PowersMathématiquesAdd indices to multiply, subtract to divide, multiply to raise a power to a power. Why anything to the power zero is 1 and what a negative index means.
Standard FormMathématiquesHow to write numbers as A × 10ⁿ where A is between 1 and 10, convert back, and multiply or divide without a calculator.
SurdsMathématiquesA surd is a root that cannot be written exactly as a fraction. How to simplify using square factors, add like surds, and rationalise a denominator.
Expanding BracketsMathématiquesMultiply every term inside by the term outside. Single brackets, double brackets, the negative-outside trap, and how to expand three brackets without losing terms.
Factorising QuadraticsMathématiquesFind two numbers that multiply to c and add to b. How to factorise when a is not 1, the difference of two squares, and what to do when it will not factorise.
Rearranging FormulaeMathématiquesDo the same thing to both sides, in reverse order of operations. How to change the subject when the letter appears twice or sits inside a root.
Solving InequalitiesMathématiquesSolve inequalities like equations, with one exception — multiplying or dividing by a negative flips the sign. Number line notation and integer solutions.
Sequences and the nth TermMathématiquesFind the nth term of a linear sequence from its common difference, handle quadratic sequences with second differences, and recognise the standard special sequences.
Straight Line Graphs (y = mx + c)MathématiquesWhat m and c actually mean, how to find a gradient from two points, and how to sketch a line in seconds without a table of values.
Solving Simultaneous Equations GraphicallyMathématiquesThe solution to a pair of simultaneous equations is the point where their graphs intersect. How to plot, read off, and what parallel or identical lines mean.
Perimeter and AreaMathématiquesPerimeter is the distance around, area is the space inside. Formulas for rectangles, triangles, parallelograms and trapeziums, plus compound shapes and units.
Area and Circumference of a CircleMathématiquesWhich formula uses the radius and which uses the diameter, how to tell area from circumference, and how to handle answers left in terms of π.
Volume of SolidsMathématiquesVolume of a prism is cross-section times length. The formulas for cylinders, pyramids, cones and spheres, plus surface area and unit conversion traps.
Angles on Lines and at PointsMathématiquesAngles on a straight line add to 180°, at a point to 360°. Vertically opposite, corresponding, alternate and co-interior angles, and how to reason with them.
Angles in PolygonsMathématiquesInterior angles sum to (n − 2) × 180, exterior angles always total 360. How to find each angle in a regular polygon and work backwards from an angle to n.
Circle TheoremsMathématiquesThe angle at the centre is twice the angle at the circumference, angles in a semicircle are 90°, and the rest — with the wording examiners expect.
Symmetry and TransformationsMathématiquesThe four transformations, what must be stated to describe each fully, and why a missing centre or scale factor loses the mark even when the drawing is right.
Coordinates and GridsMathématiquesAlong the corridor then up the stairs — reading and plotting coordinates in all four quadrants, plus midpoint and distance between two points.
Similar Shapes and Scale FactorsMathématiquesSimilar shapes have equal angles and proportional sides. Why area scales by k² and volume by k³ — the rule that catches out most students.
BearingsMathématiquesAlways measured clockwise from north and always written with three figures. How to find a back bearing and why 045° is not the same as 45°.
VectorsMathématiquesA vector has magnitude and direction. Column vector notation, adding and subtracting, scalar multiples, and how parallel vectors prove points lie on a line.
The Sine and Cosine RulesMathématiquesSOHCAHTOA only works in right-angled triangles. Which rule to use for any triangle, how to choose between them, and the area formula.
Speed, Distance and TimeMathématiquesSpeed equals distance over time, and rearranging it. Unit conversion, average speed over two legs, and reading distance-time graphs.
Mean, Median, Mode and RangeMathématiquesHow to calculate each average, why outliers ruin the mean, and how to choose the right one. Includes finding the mean from a frequency table.
Bar Charts and PictogramsMathématiquesHow to read a scale correctly, why the key on a pictogram decides every answer, and the labelling that earns marks when drawing a chart.
Scatter Graphs and CorrelationMathématiquesReading correlation from a scatter graph, drawing a line of best fit, and why interpolation is reliable while extrapolation is not.
Cumulative FrequencyMathématiquesPlot at the upper bound, read the median at half the total, and find the interquartile range. How cumulative frequency leads into box plots.
HistogramsMathématiquesFrequency density is frequency divided by class width, and area represents frequency. Why histograms differ from bar charts and how to read one backwards.
Venn Diagrams and SetsMathématiquesFill the overlap first, then work outward. Union, intersection, complement and the notation examiners use, plus probability from a Venn diagram.
Probability Tree DiagramsMathématiquesMultiply along the branches and add between outcomes. How to handle with and without replacement, and why each set of branches must total 1.
Telling the Time and Reading TimetablesMathématiquesReading clocks, converting between 12-hour and 24-hour time, and working out journey durations without slipping into decimal minutes.
Money ProblemsMathématiquesWorking with currency means keeping units consistent and always writing two decimal places. Calculating change, comparing value and multi-step budgeting.
GCSE Maths: Foundation or Higher?GCSE MathematicsFoundation caps at grade 5, Higher starts at grade 4. What each tier covers, who each suits, and why the safe choice is not always the lower one.
GCSE Maths Grade BoundariesGCSE MathematicsBoundaries are set after the exam, not before, so a harder paper needs fewer marks. What that means for revision targets and for reading last year's figures.
The GCSE Maths Non-Calculator PaperGCSE MathematicsOne of the three GCSE maths papers is sat without a calculator. Which skills it actually tests, and how to prepare for arithmetic you cannot delegate.
The GCSE Maths Formula SheetGCSE MathematicsSome formulae are printed in the exam and some must be memorised. Which is which, and why knowing the difference changes how you revise.
A GCSE Maths Revision Plan That WorksGCSE MathematicsWhy past papers beat re-reading notes, how to log errors so they stop repeating, and a realistic weekly structure for the final months.
GCSE Maths Problem-Solving QuestionsGCSE MathematicsMulti-step worded questions carry the most marks and the least guidance. How to extract the maths, work from both ends, and earn method marks.
The Digital SAT Reading and Writing SectionPréparation au SATShort passages with one question each, across four content domains. What the section tests, how it is timed, and where students lose the most points.
How the Digital SAT AdaptsPréparation au SATThe test adapts between modules, not between questions. What that means for pacing, for guessing, and for why the first module matters most.
How the SAT Is ScoredPréparation au SATTwo sections of 200–800 combine to a total out of 1600. What percentiles mean, why raw marks are converted, and how to read a score report.
SAT Algebra QuestionsPréparation au SATLinear equations, inequalities and systems make up the largest share of SAT Math. The question shapes that recur and how to translate words into equations.
SAT Problem Solving and Data AnalysisPréparation au SATRatios, rates, percentages, unit conversion and interpreting tables and graphs. The SAT content area most connected to everyday quantitative reasoning.
SAT Advanced MathPréparation au SATQuadratic equations, exponential growth, polynomial and radical expressions, and function notation. The hardest content area and where top scores are decided.
SAT Grammar RulesPréparation au SATStandard English Conventions tests a limited set of rules — clause joining, agreement, modifiers, punctuation. The full list and how to study it.
SAT Time ManagementPréparation au SATHow to pace each module, when to flag and move on, and why finishing every question matters more than perfecting any single one.
States of MatterSciencesParticle arrangement explains every property of solids, liquids and gases. Melting, boiling, evaporation and why temperature holds steady during a change of state.
The Water CycleSciencesHow water moves between ocean, air and land. The stages, what drives them, and why the cycle has no beginning or end.
Food Chains and Food WebsSciencesArrows show the direction energy flows, not who eats whom. Producers, consumers, decomposers, and why food chains are rarely more than five links long.
The Human Digestive SystemSciencesMouth to intestine, what each organ does, which enzymes break down which food group, and why the small intestine is so long.
RespirationSciencesRespiration releases energy from glucose in every living cell. The equations, the difference from breathing, and what happens without enough oxygen.
Atoms, Elements and CompoundsSciencesProtons, neutrons and electrons; how elements differ from compounds; and why a mixture can be separated but a compound cannot.
Chemical Reactions and Balancing EquationsSciencesAtoms are never created or destroyed, so both sides must match. How to balance step by step, and why you may change coefficients but never formulae.
Acids and BasesSciencesThe pH scale, what makes something acidic or alkaline, the neutralisation reaction, and how to name the salt a reaction produces.
Forces and FrictionSciencesWhat balanced and unbalanced forces do, why friction is not always unhelpful, and how terminal velocity follows from forces coming into balance.
Energy Transfer and ConservationSciencesEnergy is stored and transferred, never used up. The stores, the transfer pathways, conduction, convection and radiation, and what efficiency measures.
Electric CircuitsSciencesCurrent, voltage and resistance, how they behave differently in series and parallel, and how to use V = IR without confusing the three quantities.
Magnetism and ElectromagnetsSciencesLike poles repel, field lines run north to south, and a current makes a magnetic field. How to make an electromagnet stronger and why that matters.
Light and ReflectionSciencesThe law of reflection, why a straw looks bent in water, and the common misconception that eyes emit light rather than receive it.
Sound WavesSciencesSound is a longitudinal wave made of compressions and rarefactions. What changes pitch, what changes volume, and why sound cannot cross a vacuum.
The Solar SystemSciencesThe eight planets in order, why we have day and night, what causes the seasons, and the difference between rotation and orbit.
Genetics and InheritanceSciencesGenes, alleles, dominant and recessive traits, and how to use a Punnett square to predict inheritance ratios.
Evolution and Natural SelectionSciencesVariation, competition, survival and inheritance — the mechanism in four steps, plus why organisms do not adapt during their own lifetime.
Ecosystems and BiodiversitySciencesThe vocabulary from organism to ecosystem, what affects population size, and why losing one species can destabilise an entire community.
Parts of SpeechAnglaisThe eight word classes, how to identify them by the job a word does rather than by the word itself, and why the same word can change class.
Punctuation RulesAnglaisWhen each mark is correct, why the comma splice is the most common error in English, and how apostrophes actually work.
Active and Passive VoiceAnglaisActive voice puts the doer first; passive puts the receiver first. How to identify each, convert between them, and when the passive is the better choice.
Figurative LanguageAnglaisThe main devices, how to tell a simile from a metaphor, and how to write about effect rather than just naming the technique.
Persuasive WritingAnglaisHow to build an argument that changes a reader's mind — audience, structure, rhetorical technique, and why addressing the opposing view makes you stronger.
Summarising a TextAnglaisSeparating main ideas from supporting detail, writing in your own words, and why a summary is not a shortened copy of the original.
Creative Writing OpeningsAnglaisStart in the middle of something, show rather than explain, and avoid the three openings examiners see most often.
Formal Letter WritingAnglaisThe conventional layout, why Yours sincerely and Yours faithfully are not interchangeable, and how to keep the register consistent.
Reading a Historical SourceHistoireWho wrote it, when, and why — how to evaluate a source without dismissing it as biased, and why bias makes a source more useful, not less.
Causes and Consequences in HistoryHistoireHow to categorise causes, weigh their relative importance, and write an argument rather than a list of factors.
Map Skills and Grid ReferencesGéographieAlong the corridor and up the stairs — four and six-figure grid references, scale, distance and what contour lines show about the land.
Rivers and ErosionGéographieThe four erosion processes, four transport processes, and how waterfalls, meanders and oxbow lakes form along a river's course.

Réservez votre cours d'essai gratuit

Dites-nous le niveau de votre enfant et les matières qui posent problème. Nous trouvons un professeur et programmons un cours complet sous 24 heures — gratuit, sans carte bancaire et sans rien à annuler.

Réserver le cours gratuit Écrivez-nous sur WhatsApp

Ou appelez le ⁦+92 340 1417862⁩ — de 14h à 22h heure du Pakistan en semaine, de 10h à 20h le week-end.