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

Number lessons

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61Zero and negative indices drillEvaluate and rewrite expressions that include a⁰ and a^{−n}.Algebraic Manipulation· Ms ChuMCQ62Linking indices to scientific notationMove between ordinary form and a×10ⁿ using index laws.Algebraic Manipulation· Mr YipMCQ63Simplifying simple algebraic fractionsCancel common factors only — never cancel terms across a plus sign.Algebraic Manipulation· Mr ChanMCQ64Identity or equation?Decide whether an equality is true for all values or only some values.Algebraic Manipulation· Ms LamMCQ65Linear equations with bracketsExpand, collect unknowns, and solve with clear balancing steps.Equations & Inequalities· Mr NgMCQ66Linear equations with fractionsClear denominators by multiplying through by the LCM.Equations & Inequalities· Ms ChuMCQ67Forming equations from word problemsTranslate sentences into a single linear equation before solving.Equations & Inequalities· Mr YipMCQ68Elimination with multiplied equationsScale both equations so one variable cancels cleanly.Equations & Inequalities· Mr ChanMCQ69Substitution with rearranged subjectsMake one variable the subject then substitute into the second equation.Equations & Inequalities· Ms LamMCQ70Inequalities with bracketsExpand inequalities carefully and flip only when multiplying by a negative.Equations & Inequalities· Mr NgMCQ71Showing inequality solutions on a number lineUse open and closed circles correctly for <, >, ≤ and ≥.Equations & Inequalities· Ms ChuMCQ72Integer solutions of inequalitiesList integer solutions and find largest or smallest integers that work.Equations & Inequalities· Mr YipMCQ73Changing subject when the formula has fractionsClear denominators before isolating the new subject.Equations & Inequalities· Mr ChanMCQ74Changing subject with powers and rootsUndo squares and cubes with roots, keeping context signs in mind.Equations & Inequalities· Ms LamMCQ75Exam mix: directed numbers and percentagesShort mixed set switching between signs and percentage multipliers.Exam & Challenge· Mr NgMCQ76Exam mix: indices and expansionSimplify indices then expand or classify identity steps.Exam & Challenge· Ms ChuMCQ77Exam mix: factorise then solveFactorise expressions and solve related linear equations in one sitting.Exam & Challenge· Mr YipMCQ78Exam mix: ratio and proportionShare ratios and decide direct versus inverse proportion quickly.Exam & Challenge· Mr ChanMCQ79Exam mix: simultaneous equations and inequalitiesSolve a pair of equations and an inequality back-to-back.Exam & Challenge· Ms LamMCQ80Challenge: nested brackets with indicesHarder multi-step simplifications for stronger S3 students.Exam & Challenge· Mr NgMCQ