For colleges and trainers

The 12-day plan

33 topics in 12 sessions. Each topic has a 2-hour class plan inside its lesson, and a slide deck that follows it. Start every day with 10 minutes of speed maths.

Day 1

Number SystemDivisibility rulesUnit digitGreatest and smallest fractionsRemainder theoremSlides
PercentageBasic percentageIncome-based problemsPopulation modelElection-based problemsSlides

Day 2

Profit and LossCP, SP, profit and lossProfit % and loss %Successive profit and lossSame CP and same SPSlides
DiscountSP, MP, discount and discount %Successive discountMarked price and profitSlides
Ratio and ProportionBasic ratio and typesFinding an unknown ratioProportion typesSlides

Day 3

PartnershipEqual timeDifferent timePartner joins / leaves midwayInvestment added / withdrawnSlides
Simple InterestPrincipal, time and ratePrincipal doubles and triplesSlides
Compound InterestHalf-yearly, quarterly, monthlyDifference between SI and CIPrincipal doubles and triplesSlides

Day 4

Time and WorkCombined workBefore completionOne leaves or one joinsAlternate workSlides
Pipes and CisternsBasic conceptOne filling, one emptyingTwo or three pipes togetherAlternate workingSlides

Day 5

Time and DistanceBasic formulaFinding time, distance, speedConstant distance / time / speedAverage speedSlides
Problems on TrainsFinding distanceTunnel / bridge / platform lengthTrain length (pole model)Relative speedsSlides
Boats and StreamsStream speedBoat speedDistance and timeUpstream and downstreamSlides

Day 6

AveragesBasic averageMissing numberCombined / group averagePerson added or removedSlides
AgesPast and future ageRatio-basedAge differenceSum and product of agesSlides
Mixtures and AlligationMixture ratioQuantity removal modelAlligation ruleProfit / loss in mixturesSlides

Day 7

MensurationTriangles and their typesQuadrilaterals: square, rectangle, parallelogram, rhombus, trapeziumCircles, sectors and ringsPolygonsSlides
ProbabilityOutcomes and sample spaceCoinsDiceCardsSlides

Day 8

Permutation and CombinationFundamental counting principlePermutationCombinationCircular permutationSlides
Data InterpretationTablesBar graphsPie chartsLine chartsSlides

Day 9

SeriesNumber seriesLetter seriesAlphabetical seriesWrong numberSlides
Coding and DecodingLetter codingNumber codingLetter and number codingChinese codeSlides
DirectionsDirect typeShadow modelClockwise and anticlockwiseSlides
AnalogyNumber analogyLetter analogyWord analogySlides

Day 10

RankingFrom left or rightFrom top or bottomSlides
SyllogismsDefinite conditionsPossibility conditionsSlides

Day 11

PuzzlesNumber puzzlesFloor-based puzzlesSlides
Blood RelationsDirect problemsCoded problemsIntroduction typeSlides

Day 12

Counting FiguresTrianglesRectanglesSquaresSlides
CryptarithmeticLetter-digit substitutionAddition-basedSubtraction-basedCarry-forward conceptsSlides