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Lessons by Mr Ng
Mr Ng focuses on indices, scientific notation and algebraic structure. He trains students to keep positive indices and check expansions by substitution.
Simplifying algebraic expressionsCollect like terms, apply the distributive law, and keep algebra tidy for later equation work.Algebraic Manipulation· Mr NgMCQ2
Laws of integral indicesMaster product, quotient, power and zero-index laws for Secondary 3 integral indices.Algebraic Manipulation· Mr NgMCQ3
Negative indices and positive-index answersSimplify products and quotients with negative indices, then rewrite with positive indices as papers usually demand.Algebraic Manipulation· Mr NgMCQ4
Expanding binomials (exam practice)Expand products such as (x−1)(x+5) and arrange polynomials in descending powers of x.Algebraic Manipulation· Mr NgMCQ5
Factorising quadratics (cross method)Factorise x² + bx + c and ax² + bx + c — a known weak area in S3 assessments.Algebraic Manipulation· Mr NgMCQ6
Four operations mixed with directed numbersApply BODMAS carefully when signs and brackets appear together.Numbers & Estimation· Mr NgMCQ7
HCF and LCM word problemsChoose HCF for greatest shared size and LCM for repeating cycles.Numbers & Estimation· Mr NgMCQ8
Percentage error and approximate valuesCompute percentage error from true and approximate values.Percentage, Rate & Ratio· Mr NgMCQ9
Sharing in a three-part ratioShare amounts in a:b:c and check that the parts add to the total.Percentage, Rate & Ratio· Mr NgMCQ10
Expanding single bracketsDistribute positive and negative factors across sums and differences.Algebraic Manipulation· Mr NgMCQ11
Mixed laws of indices practiceCombine product, quotient and power laws in one simplification.Algebraic Manipulation· Mr NgMCQ12
Linear equations with bracketsExpand, collect unknowns, and solve with clear balancing steps.Equations & Inequalities· Mr NgMCQ13
Inequalities with bracketsExpand inequalities carefully and flip only when multiplying by a negative.Equations & Inequalities· Mr NgMCQ14
Exam mix: directed numbers and percentagesShort mixed set switching between signs and percentage multipliers.Exam & Challenge· Mr NgMCQ15
Challenge: nested brackets with indicesHarder multi-step simplifications for stronger S3 students.Exam & Challenge· Mr NgMCQ