Numbers & Estimation Percentage, Rate & Ratio Algebraic Manipulation Equations & Inequalities Exam & Challenge Timed quiz

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Lessons by Ms Chu

Ms Chu teaches factorisation and quadratic cross-method work. She emphasises complete factorisation and linking every factor pair back to expansion.

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Identities and algebraic expansionUse standard identities to expand quickly and to recognise structure in reverse for factorisation.Algebraic Manipulation· Ms ChuMCQ 2

Factorisation: common factors and groupingTake out the highest common factor and factor by grouping before attempting harder patterns.Algebraic Manipulation· Ms ChuMCQ 3

Factorising difference of squaresRecognise a² − b² instantly and factor as (a − b)(a + b), including with coefficients.Algebraic Manipulation· Ms ChuMCQ 4

Factorisation by grouping and common binomialsFactor expressions such as 5(x+y) − a(x+y) and four-term groupings.Algebraic Manipulation· Ms ChuMCQ 5

Adding and multiplying polynomialsAdd, subtract and multiply polynomials, then arrange in descending powers of x.Algebraic Manipulation· Ms ChuMCQ 6

Challenge: indices + factorisation comboHarder multi-step items linking index laws with expansion and factorisation.Exam & Challenge· Ms ChuMCQ 7

Rounding to decimal placesRound to 1, 2 or 3 decimal places using the next-digit rule.Numbers & Estimation· Ms ChuMCQ 8

Estimating square roots without a calculatorSandwich a root between consecutive squares to estimate its size.Numbers & Estimation· Ms ChuMCQ 9

Profit, loss and markup percentageLink cost, selling price and marked price with clear bases.Percentage, Rate & Ratio· Ms ChuMCQ 10

Map scales as ratiosConvert between map distance and real distance using 1:n scales.Percentage, Rate & Ratio· Ms ChuMCQ 11

Expanding two brackets with FOILProduce four products then collect like terms reliably.Algebraic Manipulation· Ms ChuMCQ 12

Zero and negative indices drillEvaluate and rewrite expressions that include a⁰ and a^{−n}.Algebraic Manipulation· Ms ChuMCQ 13

Linear equations with fractionsClear denominators by multiplying through by the LCM.Equations & Inequalities· Ms ChuMCQ 14

Showing inequality solutions on a number lineUse open and closed circles correctly for <, >, ≤ and ≥.Equations & Inequalities· Ms ChuMCQ 15

Exam mix: indices and expansionSimplify indices then expand or classify identity steps.Exam & Challenge· Ms ChuMCQ 16

Challenge: multi-step percentage reasoningReverse percentages chained with successive changes.Exam & Challenge· Ms ChuMCQ