Lower and upper bounds, Summaries of Mathematics

CIEOLevelMaths‒UpperandLowerBoundsWorksheetwithSolutions

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SectionA‒UnderstandingBounds(Solutions)

1.12cmtonearestcm→LB=11.5,UB=12.5

2.5.6kgto1d.p.→LB=5.55,UB=5.65

3.48stonearestsecond→LB=47.5,UB=48.5

4.3.45mto2d.p.→LB=3.445,UB=3.455

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SectionB‒CalculationsUsingBounds

Minspeed=99.5/12.45

Maxspeed=100.5/12.35

7.Volume=basearea×height

AreaLB=44.5,UB=45.5;HeightLB=11.5,UB=12.5

Minvolume=44.5×11.5

Maxvolume=45.5×12.5

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SectionC‒WordedProblems

8.Averagespeed=distance/time

Distance:60±0.5→LB=59.5,UB=60.5

12boxes:

Minmass=12×2.45

Maxmass=12×2.55