Maths_1_O_june_1999 2

Extracted Content: Maths_1_O_june_1999 2

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. ZIMBABWE SCHOOL EXAMINATIONS COUNCIL. |

GENERAL CERTIFICATE OF EDUCATION
ORDINARY LEVEL

-MATHEMATICS
4008

Past Question Papers and Expected Answers

\ JUNE 1999 - NOVEMBER 2004

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This booklet is past of the series that raumber of sui son Clot et our epee She ‘contres, The frst ‘sories Was up o he te

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Friday, | ” 4,JUNE1999: . Moming 2 hours $0 minutes

Carriers anower on the question paper. : a ‘
No ackitional matoriais are are required. Lo

“TMM 2 hows 30 minutes

INSTRUCTIONS TO CANDIDATES .

Wit your name, Care ramber an canckaterumberit the spaces athe op of tis page.

; Answer all questions. . .

Witte your answers in the spaces provided on the question paper. . : ST
Hfwétking is needed for any question it must be shown in fhe space bilow thet question

Omission of essential working will reeult in loss of marks.

. Mathematica tables, se ree and callers may not be rug to the examination room.

7g eer of aks gan brat | tthe oe of ea ueton or prt question.

t

vy

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"NEITHER MATHEMATICAL TABLES | NOR

sae RULES NOR CALCULA TO?
_ MAY BE USED EN

1 @) Find the xi veo
@ 5.4% 0,06,.
(165-496, to
O°). Bepres masa fraction of. an, giving your answer init simple form,

Answer (a) Bm

2 © @ Ete COR cto en

& _ Express 0,008 478 in standard form.
®) Wit dow, ket ae Serene VaR.

Answer (a) (i) mathe eenneniepnen teceeeen ene cnsaes fly

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3

i

R

3 " Ginenthat =~ 4, —Sandn= 5d eval
@ inn,”
®) ¥-m,
{} 2n?.

Answer (4) — Hf
) mf

(Cn annenesneeerorerenees [TPE

r 4 | agesi2 57S mnberin
« base five, a Said. et ts x

i. whe -

| 6) bane tw

f

Answer (a) {t]

(6) ane {Qh

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#

72 982q @
_ Sag saeq @.
Mentone cr segs Py .

2

to.
we @
eons on pag <epmc-nw yap €

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@: "Altes fan xan he doin the extn oi 2 pam. The examination ended st Spm. . ;

"Find the angle in degrees, through which 7
©. the hour hand tums dur the examination;
@ the miutefiaad nirus during the examination, ,

®) Calculate the obitie angle betwein the hour hand aod:-the minute hand of
at 230pm.” eee

Answer (a) {) |

)

9 pero terete renee One ta
Poles awarded in the League Table: .

(Gy ‘Grea hj they rine oot 8 pis, cena th ae :

&) The Chinhoyi Cheetahs Cheetahs played the seme number of games asthe Gwera G
pois icy gene ne ocean gamesas they lest. Calculate she mun

Points they gained.

" Answer (a) a

,) ae ee

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inthe dng, AD tie dmeter oft ci ABCD: Chords BCand CD are equal and CAB = 33", ; The side CD is produced to E.

Calculate . :
-(@) BAD,
". @) BED, -
(@ ABE.

Answer (@) a _ ° oy
BODE a erinnnrnnin® AY

“(@ABE= crteeeeaneaneteenapeneehantecece i.

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10 ‘The following 1 notice was displayed at an airport:

_ Temperatures cQ at Air Zimbabwe International Destinations. ns Dat,

(a) Atwhich destination
@ was the lowest temperature recorded,
@®. was the greatest range of temperatnres recorded?

@) “Ondth January the minimum temperature recorded int Frankfurt was 3 *Clower than
: on 3rd January.

Collate the minimum emperstr in Frankfurt on 4h January.

_ Answer x) :
a) rrr (1
" @) a, rb]

HL All the lengths on a scale drawing are one éighth of their actual Jengths.

Cakulate
. Wu . . : .
(a) the actual length of a line represented by a line 5:6 cm long on the scale drawing--

{b) the area on the scale drawing which represents an actual area of 896 cm?
. oa

PANSWEE (0) oeleeerenerericennneereenneem fi]

(:) ae cm [2}

‘}

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Thee ACD ht ma ter oo ; |, The chord ABC is © Pespendicular to the straight line DOH and hes a total

(3). Calculate the length of OB. _ —
@) "rite dows xs facon, the vale of cos ABD,

Answer (a) preteen ntennns eccteteeenens GE

os a6d=

@ @ 2 esata ABCD with angles 7 107°, 50° and 107,

@ A tangle LAIN with sides 11cm, 52cm and Fem.

o) _ What are complementarjangles?

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' @ Write down the order of rotational symmetry of an equilateral triangle.

Answer, (a)

nin ——
®) (nthe diagram nt amrwer Spade, shade te image ft ABCD ao that the esaing
- Sommplete, shape has BC 9s a line of symmetry. « .

Answer (b)

© Oe ear i te nee phd nape ich teen fe
“Shaded shape in the line PQ. : ¥

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+ we amuse Mu Square Metres, ©). Peabiometres itis,

~ ?@

. Anower (a Square metr
@) ae Fin
LC an hours.

i¢

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- oh . _ 16 @) Solve the inequality ~7<2- Sr 5,

0) Tso oor newer pai (othe mar ie newer sa

Po OSS aa

7 Amy ihc he rth gh ste ret the :
Dearest metre.

Find the ditierencs betwen te lagcatand scales plies wales of thera
of the floor. : : . . .

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1 * Scive the equations +

meres ae

@ Hie “1, oo

; & yy +3)-~ 29 +3) a.

ses ring ou mame oe et i .

. & ) os; 44- tog $.

Answer. (@)
~ . @).

ee

Seema

| elestntntnate ne enn pe Seaenes,

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Take x to be 2, “The Glagrim iow: a jatiera vas in dressmaking. It consist of six equal crea of taion Chm other Crcies ar ckomet™ THE sides ofthe rectangle are tangents to the cicies which touch other circles as shewn. ,

“ Catculate

i@ the area of the rectangle,

23 . {Tors aver.

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a) ) the are of pualleogeam ED, a “ey 0D atmos ,

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he

The digram shows the graph os) = (ox Dee-2e+39). .
> "Find te coordinates of So re

OA.
@) _B.

{b) ‘The point P(—2, 22) fies on the curve. Calculate the value of m.

Answer @ Q Ais by ceenencteeseee ) tL
- Gi) Bis( )Y
(BY ME cet ee EY

MS RUA se
19

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Po, x) A.suivey fs carried out ining the number of mimites each member of a class takes to £ a @ multiple choice test. The diigram below is an incomplete histogram used to oxtrat, . | " Fesults of thesurvey. Te : - . Frequency ca a ok, 0 es mene ; . nn Se a.’ 0 - eo si ne Titne in mizages* [ae [een [acien [eeree [cre » @) “Fiod the valug of. re

2 : Answer (aia
(8) (on the diagram)

20

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eee wwe megyeeey wee . ..

inverse ofits length, L.
{a) (write down a formu fr $n texas of D, L and a constant, k.

b) Given that 5'= 18 when D = :3andL= “5, find the value of k.
<) Calculate the value of D when $=20 and L = 6, leaving your answer in siird form.

Answer (0) Sa pe A)
DY, Tee Om

(0) DH nee [2]

R/

pant aCRIAre . “ ’ [Pura over |

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in the diagram, P, simon t points om leyel ground with PQ = 30m, PR : - PRQ=8? anda. = afr. bearing of Q from Pis 042°:

Use as mach ofthe information given below axis necessary.
@) Calontate
@ the beara of fro,
@ how far Q is north of P.
® Ris the base of a vertical mast RT.

The angle of elevation of the. top of the mast, 7, from P's also 42°.
Calculate the height of the mast RT.

1

*

* [sin 42" = 0,67; cos 42° = 0.74; tan 42° = 0,90}

Aaraswrer (0) (0) ences eee
@)

()

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wre]

; 36 1819894 ovo et hada ted pie 737000. .. ;
@) Me Mogo paid adh and was elowed.15% dicount Cll the disco.
a) _ Mr Dube bought the ilcvsion st throug aly by sche In this theme hii an
ae ‘ital deposit Of § of the marked price’ and then'3 equal monthly instakmener,
. _, Before Ie collected the television set. Calculate each monthly instalmeat.
a. Po Cae aap nae rhe an in ci
“Premiovs yess. Calculate the Me tad pron of he ichvion st in n 1998

4

AMesw 0 (OY § enn Bi
, ‘I

$B

als

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7 ' r e.

co . - Table 2
® Complete Fine 4 in Table 2 above.

@ Complete fine 7 in Take 2 ation.

. nt Sm ft ine 20 he at |

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