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Numbers & EstimationPercentage, Rate & RatioAlgebraic ManipulationEquations & InequalitiesExam & ChallengeTimed quiz

Number lessons

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1Directed numbers: add, subtract, multiply and divideUse number-line sense and sign rules so directed-number calculations stay accurate under exam pressure.Numbers & Estimation· Mr ChanMCQ2Approximate values and sensible estimationRound to a required accuracy, estimate products and quotients, and check whether an answer is reasonable.Numbers & Estimation· Mr ChanMCQ3Rational numbers: fractions, decimals and recurring decimalsConvert between fractions and decimals, recognise recurring decimals, and keep rational arithmetic organised.Numbers & Estimation· Ms LamMCQ4Percentage increase and decreaseConvert between percentages and multipliers so increase and decrease problems stay consistent.Percentage, Rate & Ratio· Ms LamMCQ5Successive percentage changesCombine successive percentage changes by multiplying multipliers — never by adding the percentages.Percentage, Rate & Ratio· Ms LamMCQ6Rate, ratio and direct proportionExpress ratios in simplest form, share quantities, and solve direct proportion problems with clear units.Percentage, Rate & Ratio· Ms LamMCQ7Percentage applications: discount, profit and simple interestApply percentage tools to discount, profit/loss and simple interest — standard Secondary 2–3 applications.Percentage, Rate & Ratio· Ms LamMCQ8Simplifying algebraic expressionsCollect like terms, apply the distributive law, and keep algebra tidy for later equation work.Algebraic Manipulation· Mr NgMCQ9Laws of integral indicesMaster product, quotient, power and zero-index laws for Secondary 3 integral indices.Algebraic Manipulation· Mr NgMCQ10Identities and algebraic expansionUse standard identities to expand quickly and to recognise structure in reverse for factorisation.Algebraic Manipulation· Ms ChuMCQ11Factorisation: common factors and groupingTake out the highest common factor and factor by grouping before attempting harder patterns.Algebraic Manipulation· Ms ChuMCQ12Factorising difference of squaresRecognise a² − b² instantly and factor as (a − b)(a + b), including with coefficients.Algebraic Manipulation· Ms ChuMCQ13Linear equations in one unknownSolve linear equations with brackets and fractions using balanced steps and clear checking.Equations & Inequalities· Mr YipMCQ14Linear equations in two unknownsSolve simultaneous linear equations by substitution and elimination — core Secondary 3 skills.Equations & Inequalities· Mr YipMCQ15Linear inequalities in one unknownSolve and represent linear inequalities, remembering to flip the inequality sign when multiplying or dividing by a negative.Equations & Inequalities· Mr YipMCQ16Changing the subject of a formulaRearrange formulae with roots, fractions and products so a chosen variable becomes the subject.Equations & Inequalities· Mr YipMCQ17Prime factorisation, HCF and LCMWrite numbers as products of primes, then read off HCF and LCM — a frequent TSA-style opener.Numbers & Estimation· Mr ChanMCQ18Scientific notation and large/small numbersConvert between ordinary form and a × 10ⁿ with 1 ≤ |a| < 10 — standard S3 index work.Numbers & Estimation· Mr ChanMCQ19Directed numbers with brackets (challenge)Mixed operations with multiple brackets — the step that trips many S2–S3 students in timed papers.Numbers & Estimation· Ms LamMCQ20Reverse percentage problemsRecover the original value after a percentage change — classic exam reverse-percentage items.Percentage, Rate & Ratio· Ms LamMCQ