Question 1-CXC Past Paper Questions: 1989-2011
May 1989
(a) Find the exact value of (4⅘÷2⅔)- (1⅓) 2
(5 marks)
() !rite "our ans#er to $art (a) as a decimal correct to 2 si%nificant fi%ures& (2 marks) (c) ' sum of mone" is to e divided amon% ' '*+ , in the ratio of 2.5& /he lar%est share amounts to 012& ,alculate (i) the total total sum of mone" to e shared (ii) 's share receives (5 marks)
(iii) the $ercenta%e of the total amount that
May 1990
,alculators slide rules and mathematical tales must *3/ e used to ans#er this uestion& ho# '66 ste$s clearl"& (a) ,alculate the exact value of
4⅓ - 1788 1 .9:x1⅔
(. marks)
() ,alculate the value of &2.9&.51 %ivin% "our ans#er correct to 2 si%nificant fi%ures (. marks) (c) (i) ome "ears a%o ;01& (one ;nited tates dollar) #as euivalent to <0.&5 (the dollars and fift" cents
of its ori%inal value& ,alculate the ne# exchan%e rate for ;01& and hence calculate the amount of
(a) ,alculate the exact value of (2⅓ - 17) ÷ 1⅓
(4 marks)
()/he sim$le interest on 015 for 4 "ears is 0=1& ,alculate the rate $er cent $er annum& (. marks) (c) /he sum of 025 is divided amon% ?eter @ueen and Aa"mond& Aa"mond received half ?eter received 0.12&5 and @ueen received the remainder& ,alc ,alcula ulate te (i) (i) Aa"m Aa"mon onds ds sha share re (ii) (ii) @ueen @ueens s shar share e
(iii) the ratio in #hich the 025 #as divided amon% the three $ersons (iv) the $ercenta%e of the total share that ?eter received (5 marks) May 1992
(a) ,alculate the exact value of 5 29: B . 59: 4C2⅘ (4 marks) () ' $iece of strin% D4cm lon% is divided in three $ieces in the ratio 125& ,alculate the len%th of the lon%est $iece& (. marks) (c) ' merchant sold a $en for 05&.5 there" makin% a $rofit of :> on the cost to him& ,alculate (i) the cost $rice of the $en to the merchant (ii) the sellin% $rice the merchant should reuest in order to make a 15> $rofit& (5 marks) May 1997
(a) ,alculate the exact value of (i) 2&= B 1&.D 4- 2&: (ii) (2:9=)2
(D marks)
() ,alculate E&:2 x 12&5 (i) exactl" (ii) correct to 2 decimal $laces (iii) correct to 2 si%nificant fi%ures (iv) in standard form (4 marks) May 1998
(a) ,alculate the exact value of 2 19:- ⅓ 1 D9:
(2 marks)
() x$ress &429&:1 (i) correct to 2 decimal $laces (ii) correct to 2 si%nificant fi%ures (iii) in standard form
(. marks)
(c) (i) /he asic #a%e rate for technician for a 42-hour #eek is 0.D&4 $er hour& ,alculate the technicians #eekl" #a%e& (ii) For overtime #ork the technician is $aid one and a half times the asic hourl" rate& ,alculate the technicians total #a%e for 5= hours of #ork& (iii) Gn a ne# #a%es a%reement the asic rate of $a"ment is 014E& for .D hours of #ork& ,alculate - /he technicians hourl" rate of $a" - /he $ercenta%e increase in the hourl" rate (: marks) May 1999
(a) ,alculate the exact value of ⅔ B 1 29: . - 2 29: () valuate :&219D&:51 and ex$ress the ans#er correct to (i) . decimal $laces (ii) . si%nificant fi%ures
(. marks) (. marks)
(c) ?amela orro#s 025 at 12> $er annum sim$le interest for 2 "ears& Gn addition a fee of 02 is char%ed for $rocessin% the loan& ,alculate (i) the sum of mone" #hich she #ill have to re$a" the ank at the end of the 2 "ears (ii) the $rofit $ercent the ank makes on the loan (iii) the monthl" instalment if she is reuired to re$a" the loan in 24 eual monthl" instalments& (D marks) January 2000
(a) x$ress in it slo#est terms the value of =⅓ - 2 H 2- 7 () !rite 4:D= correct to . si%nificant fi%ures marks)
(4 marks) (2
(c) /he hire $urchase $rice for a refri%erator is 0D5& ' de$osit of 05 is made and the remainder is $aid in eual monthl" instalments of 025& (i) ,alculate the numer of monthl" $a"ments that must e made (ii) Gf the cash $rice is 04 ex$ress as a $ercenta%e of the cash $rice the extra cost of u"in% on hire $urchase& (5 marks) May 2000
(a) ,alculate the exact value of 1⅓ - . 7 ÷5 19E marks) () !rite the value of &42= x 2&:5 (i) exactl" in decimal form (ii) to 2 decimal $laces (iii) to 2 si%nificant fi%ures
(4
(. marks)
(c) ' com$an" sells its $rinters to customers in order to make a $rofit of 25>& ,alculate (i) the $rice a customer $a"s for a $rinter #hich the com$an" ou%ht for 01:& (ii) the $rice the com$an" $aid for a $rinter #hich #as sold to a customer for 025& (5 marks) May 2001
(a) x$ress in fractional form in its lo#est terms the exact value of . 19: - ⅔ 2 D9:
(. marks)
() !rite &=EE (i) in standard form
(ii) correct to 2 si%nificant fi%ures
(c) ' uildin% ociet" offers a rate of 11> $er annum sim$le interest& eth-'nn de$osited 024 in the ociet" for 15 months& (i) ,alculate the amount of mone" due to her at the end of this $eriod /he uildin% ociet" char%ed her a $rocessin% fee of 015& (ii) ,alculate this fee as a $ercenta%e of the mone" ori%inall" de$osited& marks)
(5
May 2002
(a) ,alculate the exact value of . I - 2 ⅓ 17 2 () !rite the value of (11&2) C (&.:5 ÷ .) (i) exactl" (ii) to 2 si%nificant fi%ures (iii) in standard form
(. marks)
(5 marks)
(c) ' metal is made from co$$er Jinc and lead in the ratio 1.D1& /he mass of the Jinc is E k%& ,alculate the mass of the metal& (4 marks)
May 2003
(a) ;sin% a calculator or other#ise determine the K',/ value of (i) (1&:)2 B (1&.)2 (ii) 4&= B D&E 1&. x &2
(5 marks)
Use the information i!en "e#o$ to ans$er parts %"& an' %(& )*+,./ , C4U5 ption *
Memershi$ Fee for one "ear 0=&
ption 5
*o memershi$ fee
Aental Fee 05& $er video Aental Fee 0.& $er video %ame %ame () ,arla rents 4= video %ames durin% one "ear& !hat is the /3/'6 cost if she chooses (i) 3$tion 'L (ii) 3$tion L (. marks)
(c) ,arla estimates that she #ill e ale to s$end 0215& for rentin% video %ames durin% the next "ear& No# man" video %ames #ill she e ale to rent usin% (i) 3$tion 'L (ii) 3$tion L (. marks) January 2006
(a) ;sin% a calculator or other#ise calculate (i) the exact value of 2 I x 495 .95 C H marks)
(4
(ii) correct to . si%nificant fi%ures the value of 1=&:5- (2&11) 2 marks)
(.
() ' loan of 012 #as orro#ed from a ank at 14> $er annum& ,alculate (i) the interest on the loan at the end of the first "ear (2 marks) (ii) the total amount o#in% at the end of the first "ear (1 mark) ' re$a"ment of 0:= #as made at the start of the second "ear& ,alculate (iii) the amount still outstandin% at the start of the second "ear (1 mark) (iv) the interest on the outstandin% amount at the end of the second "ear
(1 mark)
May 2006
(a) ;sin% the calculator or other#ise determine the value of (12&.) 2 C (&24D÷.) and #rite the ans#er (i) exactl" (ii) correct to 2 si%nificant fi%ures (2 marks) () /he tale elo# %ives information on the values and the rates of de$reciation in value of t#o motor vehicles Motor ehi(#e
/axi ?rivate ,ar
nitia# a#ue
ear#y )ate of ,epre(iation
04 025
12> >
a#ue after ne ear
0$ 02125
,alculate (i) the values of $ and (ii) the value of the /axi after 2 "ears
(D marks)
(c) O;P 01&Q ; 0&1 and , 01& Q ; 0&.: ,alculate the value of (i) O;P 0D in ; 0 (ii) ; 0E25 in ,0
(2 marks) (2 marks)
May 2007
(a) ;sin% the calculator or other#ise determine the exact value of (.&:) 2- (D&24 ÷ 1&.) (. marks) () ' total of 12 students attend /o$ Rie# Ni%h chool& /he ratio of teachers to students 1.& (i) No# man" teachers are there at the schoolL (2 marks) /#o-fifths of the students o#n $ersonal com$uters& (ii) No# man" students do *3/ o#n $ersonal com$utersL marks)
(2
/hirt" $ercent of the students #ho o#n $ersonal com$uters also o#n $la" stations& (iii) !hat fraction of the students in the school o#n $la" stationsL x$ress "our ans#er in its lo#est terms& (4 marks)
January 2009
(a) ,alculate the K',/ value of . S88 2⅓-7 %ivin% "our ans#er as a fraction (. marks) () +0 means arados dollars and ,0 means astern ,ariean dollars& (i) Taren exchan%ed +02& and received ,02:&& ,alculate the value of one +0 in ,0& (2 marks) (ii) Gf Taren exchan%ed ,04.2& for +0 calculate the amount of +0 #hich Taren #ould receive& (2 marks) %*ssume that the "uyin an' se##in rates are the same&
(c) ' credit union $a"s => $er annum com$ound interest on all fixed de$osits& ' customer de$osited 024 in an account& ,alculate the /3/'6 amount of mone" in the account at end of t#o "ears& (4 marks) May 2010
(a) +etermine the K',/ value of (i) 1 H - 295 4U x S (ii) 2&52 C 2&=E 1:
(. marks)
%ivin% "our ans#er to 2 si%nificant fi%ures
() Mrs&
(. marks)
(i) ,alculate the cost of 3* t-shirt&
(1 mark)
/he t-shirts are sold at 01E&EE each& ,alculate (ii) the amount of mone" Mrs&
(a) ,alculate the exact value of (i) (5&=2 B 1&2) x 2&5 (ii) 2 49E - .9: 4⅔
(2 marks) (. marks)
() ' com$an" $a"s its em$lo"ees a asic #a%e of 0E&5 $er hour for a 4-hour #eek& (i) ,alculate the asic #eekl" #a%e for 3* em$lo"ee& (1 mark) 3vertime is $aid at a rate of time and a half (ii) ,alculate the overtime #a%e for an em$lo"ee #ho #orks D hours overtime in a certain #eek& (2 marks) Gn a certain #eek the com$an" $aid its em$lo"ees a total of 012 =4& in asic and overtime #a%es& ,alculate for that #eek (iii) /he /3/'6 $aid in overtime #a%es (2 marks) (iv) /he /3/'6 numer of overtime hours #orked " em$lo"ees (1 mark) May 2011
(a) ;sin% a calculator or other#ise determine the K',/ value of (i) 2 I B 1 V ex$ressin% "our ans#er as a fraction 2H (. marks) (ii) .&ED x &25 - W&25D
(. marks)
() /he tale elo# sho#s ?amelas sho$$in% ill& ome of the information #as not included& M/
QU*+
U+ P)C
Aice ?otatoes Milk
D H TO 4 a%s
2&4
(artons /U5 *4 < = * *4
X
2&.5
*4 C/
52&= 14&1 82;0
E&E 92>0
,alculate the values of !KP and X&
(5 marks)
