Level 3 Core Mathematics Questions And Answers

Level 3 Core Mathematics Questions
And Answers
Datagcangbegcollectedgvia?g-gCORRECTggANSWER-Observationsg
Interviewsg
Questionnaires
Experimentsg
Tests

Example:gAgpairgofgjeansgisgpricedgatg£59.50gaftergag30%greduction,gwhatgwasgthegoriginalg
price?g-gCORRECTggANSWER-100%-30%g=g70%g
Newgpriceg(70%)g=g£59.50g
Originalgpriceg=g59.50/70gxg100

Givegangexamplegofgthegdependentg(responsive)gvariable?g-gCORRECTggANSWER-
Thegnumbergofgicegcreamsgsold

Givegangexamplegofgthegindependentg(explanatory)gvariable?g-gCORRECTggANSWER-
Thegtemperature

Howgdogyougfindgagpercentagegofgagquantity?g-gCORRECTggANSWER-
Decimalgxgquantityge.g.g0.35gxg175

Howgdogyougfindgonegquantitygasgagpercentagegofganotherg-gCORRECTggANSWER-
Dividegthegquantitygbygthegothergquantityge.gg200/800gxg100

Howgdogyougfindgthegoriginalgvalueg(percentages)g?g-gCORRECTggANSWER-
Examples:gValuegofgangapartmentgincreasesgbyg12%gtog£125,000g
Newgpriceg=g112%g
Originalgpriceg=g125000/112gxg100

Howgtogcomparegtwogquantitiesg(percentages)?g-gCORRECTggANSWER-
Example:gAgsalarygofg£22,000gisgincreasedgbyg£660gandgagsalarygofg£48000gisgincreasedgb
yg£1000,gwhichgisgthegbiggestgincrease?g

660/22000gxg100g
1000/48000gxg100

Howgtogincreasegpercentages?g-gCORRECTggANSWER-Example:g

, 150gxg1.15g(increasegbyg15%)

Whatgaregthegadvantagesgofgclustergsampling?g-gCORRECTggANSWER-
Cheaperg+gablegtogshowgregionalgvariations

Whatgaregthegadvantagesgofgcumulativegfrequencyggraphs?g-gCORRECTggANSWER-
Usefulgitgsourcegofgdatagisgunsure/lost.gCanggivegestimatesgofgmediangandgquartiles

Whatgaregthegadvantagesgofghistograms?g-gCORRECTggANSWER-
Givesgproportionalgrepresentationgofgeachgclassgintervalgwithingdistribution.gMediangandgq
uartilesgcangbegestimated

Whatgaregthegadvantagesgofgquotagsampling?g-gCORRECTggANSWER-
Easygtogcapturegforgmostgsections

Whatgaregthegadvantagesgofgrandomgsampling?g-gCORRECTggANSWER-Nogbias

Whatgaregthegadvantagesgofgstem-and-leafgdiagrams?g-gCORRECTggANSWER-
Goodgforgsmallgdatagsets,gusefulgforgfindinggmedian.gBack-to-backgcangcomparegtwogsets

Whatgaregthegadvantagesgofgstratifiedgsampling?g-gCORRECTggANSWER-
Proportionallygrepresentativeg-gcanghighlightgtrendsgingeachglayer

Whatgaregthegadvantagesgofgthegmedian?g-gCORRECTggANSWER-
Notgaffectedgbygextremegvalues

Whatgaregthegadvantagesgofgthegrange?g-gCORRECTggANSWER-
Givesgtheglargestgspreadgofgdata

Whatgaregthegadvantagesgofgusinggboxgandgwhiskergplots?g-gCORRECTggANSWER-
Showsgrange,gIQR,gmediag+gextentgofgskew.gUsefulgforgcomparing.

WhatgaregthegadvantagesgofgusinggthegIQR?g-gCORRECTggANSWER-
Givesgthegspreadgforgthegmiddleg50%gofgdatagsogreducesgthegeffectgofgextremes

Whatgaregthegadvantagesgofgusinggthegmean?g-gCORRECTggANSWER-
Allgdatagitemsgaregused

Whatgaregthegadvantagesgofgusinggthegmode?g-gCORRECTggANSWER-
Goodgforgqualitativegdata,gnogcalculationsgneeded

Whatgaregthegadvantagesgofgusinggthegupper/lowergquartiles?g-gCORRECTggANSWER-
Notgaffectedgbygextremegvalues

Whatgaregthegconditionsgofgclustergsampling?g-gCORRECTggANSWER-
Distinctiveggroups/typesgwithingagpopulation