Percentage, Rate & Ratio
Percentage change, successive %, rate, ratio and proportion.
Percentage increase and decreaseConvert between percentages and multipliers so increase and decrease problems stay consistent.Percentage, Rate & Ratio· Ms LamMCQ2
Successive percentage changesCombine successive percentage changes by multiplying multipliers — never by adding the percentages.Percentage, Rate & Ratio· Ms LamMCQ3
Rate, ratio and direct proportionExpress ratios in simplest form, share quantities, and solve direct proportion problems with clear units.Percentage, Rate & Ratio· Ms LamMCQ4
Percentage applications: discount, profit and simple interestApply percentage tools to discount, profit/loss and simple interest — standard Secondary 2–3 applications.Percentage, Rate & Ratio· Ms LamMCQ5
Reverse percentage problemsRecover the original value after a percentage change — classic exam reverse-percentage items.Percentage, Rate & Ratio· Ms LamMCQ6
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 LamMCQ7
Percentage word problems (exam style)Weight change, profit and successive discounts with numbers in the spirit of S3 assessment items.Percentage, Rate & Ratio· Ms LamMCQ8
Finding a percentage of a quantityConvert percentages to multipliers and find parts of amounts quickly.Percentage, Rate & Ratio· Mr ChanMCQ9
Expressing one quantity as a percentage of anotherWrite A as a percentage of B using (A/B)×100%.Percentage, Rate & Ratio· Ms LamMCQ10
Percentage error and approximate valuesCompute percentage error from true and approximate values.Percentage, Rate & Ratio· Mr NgMCQ11
Profit, loss and markup percentageLink cost, selling price and marked price with clear bases.Percentage, Rate & Ratio· Ms ChuMCQ12
Discount and sale priceApply single and successive discounts to marked prices.Percentage, Rate & Ratio· Mr YipMCQ13
Simple interest: finding P, R or TRearrange I = PRT/100 to find missing principal, rate or time.Percentage, Rate & Ratio· Mr ChanMCQ14
Rates in everyday contextsWork with speed, unit price and currency-style rates with units.Percentage, Rate & Ratio· Ms LamMCQ15
Sharing in a three-part ratioShare amounts in a:b:c and check that the parts add to the total.Percentage, Rate & Ratio· Mr NgMCQ16
Map scales as ratiosConvert between map distance and real distance using 1:n scales.Percentage, Rate & Ratio· Ms ChuMCQ17
Two-step percentage story problemsChain multipliers for mark-up then discount or rise then fall.Percentage, Rate & Ratio· Mr YipMCQ