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Material Taken From:

Mathematics for the international student

Mathematical Studies SL

Mal Coad, Glen Whiffen, John Owen, Ro ert !aese, Sandra !aeseand Mark "ruce

!aese and !aese #u lications, $%%&

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Section C – Imperial Standard Units

' mile ( ft )

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Convert:• * +ards to metres

• tonnes to ounces

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Convert:• "en is '-. l s/ Find his mass in kilo0rams and 0rams/

• Stace+ is '/*. m/ Find her hei0ht in feet and inches/

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Write in Scientific Form:• 5%%%%%%%%% or 5 0i0s of s3ace on +our m3 3la+er/

• %/%%%'. metres or the a6era0e si7e of a cell/

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Write in Decimal Form:• '/. 2 '% 8'9 metres or the a6era0e si7e of a 3roton/

•/% 2 '%

5

metres 3er second or the s3eed of li0ht/

• Tr+ with +our calculator/

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Section – !o"ndin# N"m$ers• f the di0it after the one ein0 rounded off is less than 5 we round down /• f the di0it after the one ein0 rounded off is 5 or more we round up /

!o"nd to thenearest 10

%&

'&()*%)

!o"nd to thenearest 100

%'+

(*+(,10%*,+

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Section – !o"ndin# N"m$ers

!o"nd to thenearest -enth

(.01%.1'(

*.+%(&

!o"nd to thenearest /"ndredth

).+(&%.01')

&.++%%)

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Calc"late to + decimal places:

• ;$/5 < ,/9=;%/5$ > %/.9=

• '5/* > ;'$/$ > &/,= ./$

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Si#nificant Fi#"res

• The num ers '8- are alwa+s si0nificant/• ?eros in the front are ne6er si0nificant/• ?eros in the middle are alwa+s si0nificant/• ?eros in the $ac are onl+ si0nificant if

the+ follow the decimal 3oint and another

si0nificant fi0ure/

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xample No. of Si# Fi#s

&..%.9

./%%%/%%9$%&%%%/%-%

./'2 '% .

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• Write $95&* correct to si0nificant fi0ures/

•) Write %/%%9*.5& correct to si0nificant fi0ures/

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• Round ./ 9' to $ si0nificant fi0ures/

• Round %/%%5* to ' si0nificant fi0ures/

•) &$ to ' si0nificant fi0ures/

•) &/%. to si0nificant fi0ures/

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Use o"r calc"lator: Simplif to ( si#nificant fi#"res

; /$ @ '%&

= @ ;5/* @ '%8'*

=

.

5

$/5 '%

*/& '%−

×

×

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Section F – !ates

• Rate of 3a+

• Gas milea0e

• Annual rainfall

• Bnit cost

• #o3ulation densit+

• S3eed

A rate is a comparison of different quantities.

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Speeds 2 d 3 t 2 d 2

2am3le: A car is tra6elin0 a distance of $.8km/

• What is its a6era0e s3eed if the tri3 takes & hours and '9 minutes)

• What is the time taken if the a6era0e s3eed was - 8kmDh)

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Con6ert . a33les ou0ht for E-/&. to a rateof cents 3er a33le/

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Su ur A co6ers */ km $ and has a 3o3ulation of$59%% 3eo3le while su ur " co6ers /- km $ andhas a 3o3ulation of '*'%% 3eo3le/ Which su ur

is more hea6il+ 3o3ulated)