GCSEMATHEMATICS
KEYTOPIC
PRACTICESHEETS
LOWERANDUPPER
BOUNDS
(EDEXCELHIGHER)
ThesequestionsaresuitableforHigherTierstudents.
Allquestionscanbedonewithacalculator.
MODELANSWERS
www.tutor2u.net/maths
LowerandUpperBounds(EdexcelHigher)
KeyTopicPracticeSheets
3 Benroundsanumber,$,totwodecimalplaces.
Afterrounding,$is9.32
Writedowntheerrorintervalfor$.
……………………≤ $ <……………………
(TotalforQuestion4is2marks)
4 Theheight,ℎ,ofabuildingis2200cmtruncatedtotwosignificantfigures.
Writedowntheerrorintervalforℎ.
…………………………………………………………….
(TotalforQuestion4is2marks)
5 Theattendanceatafootballmatchwasreportedas11,200tothenearest100.
Whatwasthehighestpossibleattendance?
………………………………….
(TotalforQuestion5is1mark)
Copyrighttutor2u2017
3
LowerandUpperBounds(EdexcelHigher)
KeyTopicPracticeSheets
10
85.2cm(truncated)
15cm
(nearestcm)
Theradiusofacylinderis15cmtothenearestcentimetre.
(a)Whatistheerrorintervalforthediameterofthecylinder?
…………………………………………………………….
(3)
Shilahiscalculatingthevolume,6,ofthecylinder.
Sheisgiven85.2cmasanapproximatevalueforthelength.Thisvaluehasbeentruncated.
(b)Whatistheupperboundforthevolumeofthecylinder?
Giveyouranswerincubiccentimetresto3significantfigures.
Copyrighttutor2u2017
………………………………….cm3
(4)
(TotalforQuestion10is7marks)
6
LowerandUpperBounds(EdexcelHigher)
KeyTopicPracticeSheets
15
Acartravelledinastraightline.Thecar’sjourneyisrepresentedonthisvelocity-timegraph.
8(m/s)
10
0
0
5
15
((s)
Velocity,8,isinmetrespersecond.Time,(,isinseconds.
Allthereadingsonthegraphhavebeenroundedto2significantfigures.
Whatwasthemaximumpossibledistancethecartravelledduringthisjourney?
Giveyouranswertothenearestmetre.
………………………………….m
(TotalforQuestion15is6marks)
Copyrighttutor2u2017
11