Ncse Physical Education (2015) Paper 2 Part 2

TIIE CIO\'TRNMEM OFTHE MINISTRYOFEDUCATION

NATIONAL CERTIFICATE OF SECONDARY DDUCATION 2014 (Level 1) MATHEMATICS PAPER II TIME: 90 MINUTES

Nrme ofSchool:

ID Numbcr ofschool:

studen.'sNumb€r: tt-t-l 6.J-1.s. i-:sR4Ry

D.i_;.$. riii.tnRY

INSTRUCIIONS R.rd th. follol'lng hrtrrctiod l

cri.ful|y.

Thh paper@sists of TWO (2) !€clioN - S@lios I dd II.

2. Therc @ $ (6) qu€snoff in S€ctionI and thc (3) qu$tid

in Setior II.

3. Asempt ALL six (O queiions in S@tid I. 4. ANwer ANY Two (2) qBtioN in S€ctionII. 5. writ )our dswd

in lle spa6 prcvid€dh lhis &st bookl€t

6. Wrire propq starcme s ad shop all lt€ery

working.

?. lf you hav€finishedbcfoF tim€is @lled,go ba.t md c[€ck yonr work 8. Remdb.r to (mplel! thc tolloqing on the cov.r of you answerbookl€r - Narle of SMent ' Nafto{ S.h@l - ID Numberof Schml SMmt's Nmb.r 9. candi.lal€saG Fmi$ed !o e the follwirS malerials; - Calculato6(rd'plbgralmable) - G@melrySet - GEph Paper(prcvided)

NO PROGRAMMABLE CAI,CULATORS MUST BE USED. NO CELLTEONE CAJTULATORS ATD AIJ,OWED,

il

stcnolt I ANSWr['At&aUrS[IOnS rn Tf,rssr€flo $.ia.tar

l. (rt

rrcrrhnc4cFvi..d.

c.lcdr& rhcvd|lcof 2i

R.r.rb.tr6

+ 5, t*pnrie

o)

Cdv.ft 2i

(c)

Erpi!'s l:L995 ccittcr ro 2 ri''ifidi

yur Eftrrr.

iod.dn l f('n coiftcrto I dccinald&

iEsErrr-Mtu r!.-pea2

fEur!.

2

on a rrt}

frrcdc.

B.rbl

t2 rrbl

tl hnil

co oN To fix xxxT tact

","ry 2 In adrsq th.(! llr in rbdatlr. r7 .n|tcnEdoscicrc.,

5 !&r.Lnrsdobo.hS.i.D rrd Art (!)

LrDd od omplcr. rh vdndir€t n @$or/ f!. abo{cinfordbtim"

G)

How Drdy $ld.dl8 do mly (!c subj.cfl

t2 rErtl

(c)

WlEt b th. Frbtility

tln

IiICSE 2oI4.IVI&I&.

P{q 2

6r. r sn!&at chcc'l a. ndom do.! bo.h subj€ls?

3

B d'.krl

*l

GO ON TO TED NEXTPAGE

I (a) Sinplify theexp.essions.

(i)

8a-ar+5,

(i i ) 2 t (rl * + 5 )

O)

Il narkl

6 ,'

12mdkt

Iactorizeconllet€]y

(1)

2a + 1b

(iD 5dr:

NCsr:0r1 n{drlmri\. - faptr)

Ir narl(l

tsa2t)3

t2 ndksl

GO ON TO TFE NEXT PAGE

4. h thc crfdcril tvio ditr r.ar dzc! ofcrnD.d .oG &itrtr u! iold, C|r A |!d Cr A. rdd!|r! GrA

C.r B

Rdiu!: 2 cm I&i8hr: la .in

Rrdiw: 4 ofl H.iglrt r4cD

i I

i I

i" ca'r(rl*r-f

(r)

wtr! b thcvoluncdc|r

A

(b)

Conv.d rhc vdunc dc|.

A tool.J

- P.q 2

12ndd

to |116.

(c) clbdac 6. r.do of thctfr.re ol Cu a b n'er&te

NCSE,la - ltui.,

12d!*!1

)

4 Cer B.

t2 o!*!l

GOON To TEE NErT TAGE

5. The qu.dilatenl ABC'D is sho\In in th€ diagtu

(a)

ABCD is reae.td in the J - axis to Fodrce ils inag€ A'B'C'D'. Dllw andlabelthe imse A BC'D' on the diesrad below

[a narks]

B

D

O)

Draw fie litresof symndry for ADCIT m the diasru abde.

NcsE2014 - lvrlnd;s

- p4€ ?

6

12ma*sl

GO ON m Tf,E titEXT PAGE

Ite calmdrbelow showslhe nber oflexis Rin s6l duringthe monthofApril The nMbe6 ofre(< rentareboldud unde'lined reg.3 repebrrrhe rsrs senron lh.r d!\,

Sur

slt

!

4

! 5

4

I

1

L 1

z

1

4

(a) How nany tqts weresenroDThu6day 196Apit?

tl maikl

O) Usingn\e datagiven,codplereft€ frequmcytableooow.

t2 ma*sl

T.lly

TS+ 2

3 5

(c) Wharis the total numir oftexb Ria seft?

(d) Calcd*e the nean nunbq of r€xts8j. se.t pe. day

NCSE2011 rll,lndoii$-

PrFr2

tr narkl

t2 meksl

C.OON TO TtrE NEXTPACE

SECIION tr

ArswrRtqQ4l@EIQNIoNLX?RoMrEtrrsDcrmlr 7. 6)

lrwi! plyr US3120.mr r lO%tlowr pry ot f6 bir frdily'tcrtbbodio. Thc.xcfr|og.t& i! USsr.t. - TT t6.50. C)

Wtd i! lrwi" dotn Fyn.d in TT dollu?

tr n.*1

G)

$bdirrt

t2n.d('l

ro.d ai tuft.vrim

tu TI thd6?

O) M'r Gin!('! t7 200.00in r ftircdd.padr!.conr crmingdftplc ini.rad d I rd. of lr/6 p.' rnfln,

fo( 7 t.!l!.

O

Cdcdaa tt. int*ra.{rcd

ci)

wbd i! 6. t a.l |[|d$i

lrq€ rola- rtuiE

- trq 2

o ha irryoltmcdr

t2 md(ll

rh. rill n .ivc ftm h.f inv.rtn€df

II nltl

GOON fi) If,T I'BT TAC

7. (c)

Forrti! qu.dioo, yor.r! r!$drd io lhowrll cdfrrdi(|niincs. UdI' r pri of c.op-r.r,

(i)

CdddndtcliegLl

Ci) Biccrrt .nslcXI.z.

rrhr .rd p.r.d o|t,

N,irit! Lo86! LM= MN=IJ{-

5.h.

t3 matd

13mr*{

co ot{ tjo Tf,t riDn tacx

8. (a) TXediagnm showsan airplane,acruise ship,dd ajet skier,rot dnwr io rc!t. The planeis 130 n abovese3level andthe cruis ship is 560n fron thejet skier.

(i)

Wha. is dte distocc betwen the airpld€ and th€ cruiseship?

tl markt

(ii)

Cal@latethe sizeoflhe angle r a, shom in the diagram

tl matul

NCSF20r,r M,Udi(s

- Plps 2

l0

GO ON TO TIIf, NEXT PAGE

& (b)

kul gcs !o Rila\ lousc lo study.He leve3 hme al 3:55 p.m.anddives ar Ri6\ housear 4.35 p.n. hul livs 8m rn away fmm Rita pautdd Fjla,s honewo* dsignmcDtis ,o d.aw a mapof the n€ighboudood,usirg a $3le of I cm to r!pE!.nt

mOm.

Rita's Hou$

(i)

How nany @dmctB arc uNedto rcprEsentrheacrualdishre b.rweo paut\ hous. ed Ri0as houseon the s..te dEwing tor the map? mdrl

tl

(ii)

What is the dislanc. flm hutt

(n,

Hw manyDiruies did Faul l:k€ ro dive ar Rira's hoo*?

hole ro Rira's hous, inldtomrrt6?

(iv) How lorg did kul takeio uive ai Rita's hou!., itr horl!?

(v)

Il narkl

tl markl

tl makl

what is Paul'saveng€spe€dwhilc walking flm his hoosero Rita s hou!€, iD tllorrctrts p.r boor? t2 marlsl

NCSE2014- Mlthdid

- P,Fi 2

It

GO ON TO THE NEXT PAGE

9. (a)

Thc nuinb.. of po$ and pencilsRaj and Ann boughtard the dourts @h sFtrt @ sbown.

R.j

il^I

Tottl C6i

I ll lt

$5ro0

ilI

Toa.l Cod

I tl Us x ro rcplelt (i)

t3t 0o the ost i! dolld of oE peDod y to Epr*trr rhcco€tin dollan of orc

Wri& d .qutio

uins x and y ro rep@nt the lotal 6t of the peN dd Fncils Rd t2 na*sl

(ii)

Usiry a psir o{ simdl.l1.N

equtioa. detemin€ the dt

l? NcsE,ol4-Mr{mdg-hF2

of I Ftr dd t Fnc[. t4 narksl

C'OON TOTHE NEXT PACE

e.o)

fte €qustion/ = 2r + I Sivesthe retatiorsltp berwe€ni ed/. (a)

Ur€ fte equ.tionro coinplde ile table.

[2 marksl 2

!

U3itrgihe grid prdided. dras dE eraphof l = Zr . I

t3 r'!*d

t t0 9 a 7 6 5

3 2 I

I

2

f .

4

5

Sta&tle/ ir&rc4,r for &e gaph , =

13

tl ma*l

D.H.s.LlBilARy END OT TEST