Ratio & Miscellaneous Divide into certain ratios Solve problems involving ratio Direct proportion...
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Transcript of Ratio & Miscellaneous Divide into certain ratios Solve problems involving ratio Direct proportion...
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Ratio & Miscellaneous
Divide into certain ratiosSolve problems involving ratio Direct proportion Appropriate degree Significant figuresCalculator
![Page 2: Ratio & Miscellaneous Divide into certain ratios Solve problems involving ratio Direct proportion Appropriate degree Significant figures Calculator.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56649e105503460f94afbdf8/html5/thumbnails/2.jpg)
Ratio
• Ratio is involved when comparing
different quantities• Ratio is given as
‘parts’• e.g. mixing paints
![Page 3: Ratio & Miscellaneous Divide into certain ratios Solve problems involving ratio Direct proportion Appropriate degree Significant figures Calculator.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56649e105503460f94afbdf8/html5/thumbnails/3.jpg)
Ratio
• Paint is mixed • 600ml red to 400ml
blue• This is written as• Red:blue =
600ml:400ml• They have the same
units so we can cancel• 600ml:400ml =
600:400
![Page 4: Ratio & Miscellaneous Divide into certain ratios Solve problems involving ratio Direct proportion Appropriate degree Significant figures Calculator.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56649e105503460f94afbdf8/html5/thumbnails/4.jpg)
Simplifying ratios
• Like fractions we can simplify by dividing by the same number
• 600:400 can both be divided by 100
• 600:400 = 6:4• 6:4 can both be
divided by 2• 6:4 = 3:2
![Page 5: Ratio & Miscellaneous Divide into certain ratios Solve problems involving ratio Direct proportion Appropriate degree Significant figures Calculator.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56649e105503460f94afbdf8/html5/thumbnails/5.jpg)
Simplifying ratios
• MUST MAKE SURE ALL PARTS HAVE THE SAME UNITS
• Simplify 150cm:6m• 150cm:6m
=150cm:600cm• = 150:600• = 15:60• = 3:10
![Page 6: Ratio & Miscellaneous Divide into certain ratios Solve problems involving ratio Direct proportion Appropriate degree Significant figures Calculator.](https://reader036.fdocuments.in/reader036/viewer/2022082710/56649e105503460f94afbdf8/html5/thumbnails/6.jpg)
• MEASURE Time 12hr/24hr Conversion of times and durationsIncluding fraction of timeReading time tables EMUnits of length, weight and capacity PNMeasurement and estimationConversion between metric units plus common imperial equivalents EMDistance charts and use of maps PNCalculations with scale Drawing using scale EMTemperature PNCelsius to FahrenheitCompound measureReview EMRevision and testXMAS BreakSHAPE PNAnglesCorresponding and alternateInternal and externalBearings EM2D and 3D PNNetsSymmetryPlanes of symmetry 3D EMPerimeter PNRectangle CirclePolygonComposite shapes EMArea PNConvert units RectangleCompositeTriangleCircle EMVolume PNConvert unitsCuboids CylindersPrisms and pyramids EMPythagoras Theorem PNRevisionHalf termData collection PNTypes of samplingIdentify biasCollect dataFrequency tables EMTally chartsBar charts, pictograms PNStem and leaf diagrams EMDraw and interpret pie charts PNConstruct and interpret line and conversion graphs PN and EMAverages PNMean, median mode and rangeSelect appropriate averageUse averages to compare data sets. EMProbability PNProb scale dec./fract./%Interpretation and calculation of probability of single eventProbability outcomesProbability trees EMALGEBRA PNUse of lettersLike termsCreating and simplifying expressionsBrackets and factorising EMRoots and powersEASTEREquations PNSolving linear equationsSimultaneous linear Convert relationships described in words into algebraic expressions EMSubstituting into formulaeRearranging formulae PNSequences NFinding Nth term EMPlot coordinates in the four quadrants PNPlot linear functionsUse graphs to solve linear equations EMInterpret information from graphs