Name……………………………………………………………Index No.:……………………… School ...
Name.....................................................................Index No.:........................... School.............................................Candidate's Signature .............................. Date: ................................................
121/1 FORM FOUR MATHEMATICS Paper 1 TIME: 2 HOURS
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Section II 17 18 19 20 21 22 23 24 Total
Grand Total
1
SECTION I (50 MARKS) Answer all the questions in this section in the spaces provided.
1. Evaluate
28 +18 - -15 - (12)
- 2
3
(3marks)
2. 3. 4.
EFtShiiaenmcdnhputlihimnfetybepr1eeir22orf54ocro3efra2n/sn-5ft3irgad/?e5lgeee3eso4poefarfrastohtrreepignapupotlhlaeyrergsppo,oenvlr.yiismgioten:tewirswo1fw0a0.forreelgaeurkglcaesrrepthpoaalnysgttpohanepewexhrtseo.rscieoorsmiadnegi(ls3e(.m31Dm5a.era0ktrceksmr)sm). ine
(3marks)
2
5. Kamau bought five exercise books and three geometrical sets for sh.725. If he had bought four similar exercise books and five geometrical sets, he would have paid sh.375 more. How much would he pay for two exercise books and six geometrical sets. (3marks)
6. Find the integral values that satisfy the inequalities
4x - 6 x -12
7.
8RFeiiet-nhp3derxerths9eeno2ltrexia1tf-s5oot7rnonfrurthem2ee0bneopurramo2sf4tbbepwriasilpctihnueeirnts.so,ntvheiasltietcfa:t nwovbweewr.p.afrcekeekdcisnetopacsartptoanpbeorsx.ecsowmhic((h33cmmoaanrrtkkassin))
8. Evaluate without using mathematical tables or calculators, the square root of
0.0273 ? 1.152 1.3 ? 1.68
(4marks)
3
9. A cold water tap can fill a bath in 10 minutes while a hot water tap can fill it in 8 minutes.
The drainage pipe can empty it in 5 minutes. The cold water and hot water taps are left
running for 4 minutes. After which all the three taps are left running. Find how long it
takes to fill the bath.
(3marks)
10. 11.
cTicTnmahhsseet,haBhclpmiiCrrriceecl=neeptu5sibsr.feo7oc2lfhroa5akwfn%rssdeehwem.Athe9pCoro0mars0e=seoett4ahafpr.ac8eaanhacpc.mtieuhTspr.ehs1bFec,8oionv.ha0sdiirs5trdeitpthcirps:meiucwaa2errwcd.cehieWwarapc.soohufefrsameipttthesrioecsikcfrctseihKsbheieeasssdphc1eaa.a7ds4st5hr,tp%4pipaa0arrn0oiptgc.fealeetrnhsodAe.fcsBtcoihoxCmesmtwcpuo(hr3pneimbctrhoeealarywArkdhBs?)il=e(3t6mh.3ek)
4
12. A teacher gave his form four class a quiz in mathematics which was marked out of 50
marks. The distribution of the marks was as shown in the table below.
Mark
10-14 15-19 20-24 25-29 30-34 35-39 40-44
Frequency 2
4
6
10
9
7
2
Calculate the median of this class.
(2marks)
13. 14.
DTBprwaeogtobeaBrbmbacii7gloni,stn5eyAt,ta1fthohi0anear,ns6tqfd,rftu5ehoBa,eeu8rrtc,bpi7olra,aeen3ldsltd,sa2teai,apnvn7raid,esa8pitot,mie9hforrintselhae,ferovbbsrilsaaatimlhctlkes:e.wfbcBoaowlallllgwoosw.u.AfArir.necgbeoankslctelatsiiseonfsppanitchuskrmteepedbaerpferresod.rmsa.ncedoacmtwh obab(g3l(a.m3cFmakirankbrdska)lstlh)se.
15. Solve for x log (x+2) =1+log (4x-3)
(4marks)
5
16. Draw the net of the solid below and calculate the surface area of solids. (4marks) E 10cm
D
A
6cm
C 6cm B
SAEnCs1wT7e.IrIOnaNcnoT11367EyIm9949oxIF-8642etc(aI1111e5tVl1sa0-9isx--En-8Mo3fcf069oqfo97oA49rur69m940fR02e9ar00esl00eKltp0eitSo.hapn)e(aKsisni?ntc)potmahpieseesraesrc,ntvieoidsniwtR235791:0aawstecwihnwar.Sfgrhee.dePkaectrstKhee?praastetpsaspheorwsn.c:om
a) Wanyonyi earned a salary of Sh. 10,500 per month. In addition he was given a house
allowance of Sh. 6500 per month. He got family relief of Sh. 300 per month. Find
(i) His taxable income P.a
(2marks)
6
(ii) Income tax he pays per month.
(6marks)
b) Apart from income tax, the following deductions are made per month. NHIF of Sh.
MS18tua. rdkesnTet((sxhabae))mS(t3p22aiit2a)n0bay0a-Ftle2.e.tii5nWotbhdneeil.ftdoohmowre26wof6mrsd-eaha3eneol1adwncpl.psaaesstnhs31t.se22pi-oma3np7aesrkcrshs ,eo32mvb80itse-a4iiotn3f:e2wd%wb42ywo46ff.-fo4rhre9imsekgfcroosu51ser05sps-s5atau5sldateprnyat.(ps512Ce60mianr-sla6ca.r1cukmolsa)mateth67he2im((-s156ammn7teiaactrrsmkk)so62)n8t-h7l3y
7
(ii) Find the standard deviation.
(4marks)
19. (a) Given that y = 7 + 3x - x2 , complete the table below.
X
-3
-2
-1
0
1
2
3
4
Y
-11
7
5
6
-11
(2marks)
(b)On the grid provided and using a suitable scale, draw the graph of
20.
c) d) In
thOD4exneft?ietgyhr3umer==siefnao0b7meretfel+hroeegwe3rcixdoOpoad-irsrsdatixtwnhp2aea(tt3hpecmeseenrosasAttfrrr,keatvhsio)giesfhittttuh:lreinwnicenwirgawcnlp.edfo.riuensetekocyfsoteuhrpeagcrsuatrppvhaep.toersso.lcvoemthe
equation. (3marks)
(2 marks)
x2
?
E
O
B D
C
8
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