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

Number lessons

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Direct and inverse proportionDecide whether y varies directly or inversely with x, then solve with k — TSA-style classification plus calculation.Percentage, Rate & Ratio· Ms LamMCQ 22

Percentage word problems (exam style)Weight change, profit and successive discounts with numbers in the spirit of S3 assessment items.Percentage, Rate & Ratio· Ms LamMCQ 23

Negative indices and positive-index answersSimplify products and quotients with negative indices, then rewrite with positive indices as papers usually demand.Algebraic Manipulation· Mr NgMCQ 24

Expanding binomials (exam practice)Expand products such as (x−1)(x+5) and arrange polynomials in descending powers of x.Algebraic Manipulation· Mr NgMCQ 25

Factorising quadratics (cross method)Factorise x² + bx + c and ax² + bx + c — a known weak area in S3 assessments.Algebraic Manipulation· Mr NgMCQ 26

Factorisation by grouping and common binomialsFactor expressions such as 5(x+y) − a(x+y) and four-term groupings.Algebraic Manipulation· Ms ChuMCQ 27

Adding and multiplying polynomialsAdd, subtract and multiply polynomials, then arrange in descending powers of x.Algebraic Manipulation· Ms ChuMCQ 28

Simultaneous equations from word problemsTranslate weight, ticket and money stories into a pair of linear equations, then solve.Equations & Inequalities· Mr YipMCQ 29

Linear inequalities (exam drills)Solve inequalities with brackets and negative coefficients; represent solutions on a number line.Equations & Inequalities· Mr YipMCQ 30

Changing the subject with roots and productsHarder rearrangements: subject in a product, under a root, or appearing twice.Equations & Inequalities· Mr YipMCQ 31

Mixed Number & Algebra drill (TSA style)A timed-style mixed set: primes, percentage change, expansion, factorisation and a linear equation.Exam & Challenge· Mr ChanMCQ 32

Challenge: indices + factorisation comboHarder multi-step items linking index laws with expansion and factorisation.Exam & Challenge· Ms ChuMCQ 33

Ordering directed numbers on the number lineCompare and arrange positive and negative integers for S2 foundation checks.Numbers & Estimation· Mr ChanMCQ 34

Absolute value of directed numbersRead |a| as distance from zero and simplify expressions with absolute values.Numbers & Estimation· Ms LamMCQ 35

Four operations mixed with directed numbersApply BODMAS carefully when signs and brackets appear together.Numbers & Estimation· Mr NgMCQ 36

Rounding to decimal placesRound to 1, 2 or 3 decimal places using the next-digit rule.Numbers & Estimation· Ms ChuMCQ 37

Significant figures in calculationsCount significant figures and round answers as papers require.Numbers & Estimation· Mr YipMCQ 38

Converting fractions and decimalsMove fluently between fractions, terminating decimals and recurring decimals.Numbers & Estimation· Mr ChanMCQ 39

Comparing rational numbersCompare fractions and decimals using common denominators or decimal form.Numbers & Estimation· Ms LamMCQ 40

HCF and LCM word problemsChoose HCF for greatest shared size and LCM for repeating cycles.Numbers & Estimation· Mr NgMCQ