Math May-June 2008 p1

8/17/2019 Math May-June 2008 p1

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14.

In

theVenndiagramabove., the.8ftadcd

!cpresenlS

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\Vlncbof1heiJllowing$dSisdefined by

pi

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{ e Z : . 2 ~ z ~ } , ?

(B)

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r 21..

A ~ J ~ , l e s I i m n s e l l s

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(D) Sl32n

:1.3, A kwI0'$8 000was paid

back

in 2years in

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pmcemageprofit the030was

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2Q Vo

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in) 27

16. lfm If' f! = Jmn n: ~ e n S· 3 -

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(A)

...16

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~ ~ 1

...

I - ,

{4-x) 3 i 2 ~ ) . : . .

{Aj .,

1'

Sx

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(C) 12., Ilx

0) 1 2 5 x - ~

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a n g e . o f v a J u e S . Q f x i ~

(/1)

(Il)

({.').

lO}

x>

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x>'3

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31.

32.

The-values

of i an<l_y

which

~ t i s r the

equations ;oc

r

2y

- 27

? x - J-'

_.

9

arc

(A)

(B)

{C}

(0)

~ 5 a n d 10

Wand

15

1and.lJ

13'and7.;>

~ _ . ~ ~ ~

A ~ g t t l a r ~

frame

hasaboo:fc:,':::J ea,

~ ~ ~ ~ ~ ~ : = ~ ~ i ; 1 f : ~

~ o f t h e ~ 0

/

19,

t

ffx. ··2.y' 3,

t

2,1hen ='

. 7

(A) • 1

9

4

8)

-

9

4

(C}

-

3

9

...

O)

-

'4

The<liagram

below

shows

t

cylinder with.

dittmeter 6

CQ1and

IleifWt20dh:'j ....

.

~ - 7 - ; - . •. ~ : : , : : - -

".-,,-', -, .-'

( ~ ) , ~ ~ . x

(B)J Kern x

~ e r n

(C) 8ero x 10cm

8 em

x rei-em

I

F91

1 ·=

LJl'

......

30.

Um

=

= ~

f.h'e ':nP'+

~ ' : :

fbe

volume,

in

cru\ofthe qlinde.r is

(A)

{TIJ

1

16

1

16-

'(A)

(B)

(C)

(0)

UlOn;

24Qn

36tht

7201t

(i"lJ.

~ c ' ' l .

'7

....

?-

.6

34.

The distant."f.:: around the Q[a -circular

pond

is

88 m. The radius, in metres, is

A)

f761l:

(0)

l t8'l'f

(C)

,88

-

£

88

Ui

" ,

...

8/17/2019 Math May-June 2008 p1


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I

---;---- '- .-._-_ .._ ~ _ ~ _ _ _ _ ..

=..

...

.

_ b trape.z1liin

below.

38. '

ne diagram 1 l V S t w o e o n c e n t r i ~ circles

c.etltre -() with radius em and Rem The

~ \ r e a

i n . . c m ~ of

the

shaded ~ g i o n

is

(A)

l tRl

(Ill

1tr

2

.

,

(C. )

ii

1

.

(tU!.)

(D)

~ l 1 ~ ~ i

.....

C.lk:d (,0 km

if) 1 ~ _ ~ ~

in2bf)Ui"S- t ~ ~

c n l i r c j ~ w ~

40. Tum

~ P f u d r i v e k > t o w n Q

wbicb

sm

km aWa>-.at06OOht s. He-arrives ill

tOWn

Q · · l l O O ~ tlte

same <lay. 10m's.

average

speed was

.

(A)

70kmlh

{Ill

5km h

(C)

· SicmIh

(D)OObn/h·

8/17/2019 Math May-June 2008 p1


:: ;,

· 8 ·

l t o o l . ~ f L : -

ref!l:r to

the

diaglmn below

J t ~ I D _ ~

refers

m

lhe

diagrarrl bcklW.

~ o w i n g t h e n u m b e . r o f p e r S o n w h o

listen to

~ a d i o SfationsA.

C

and Oduriilgtltewcck.

".-, •

¥ ; ~ ~

44.

11le

pie

diad s k o w s t h e p o p - u f a r g m r i ~ pia;

ata schOol.of720stadents.

HO\v

JIlany pi:

aid<ct?

41. W b . i c h t w o s t a t i o o s t o ~ t l a W M O R E

(A)

35

Jl:IAN 1500Jistcnersduringtbc wa:k?

B)

120

. 1\.) AandB

(C) 252

(D) 300

(B) A8ndD

q CandD

..

I))

Rq,JD

45. n ~ i l c J , g f H s ; ~ 8 ( t e n - S t l f d e n t s a r e i50

152,155, 153.

7 0 . 1 0 0 ~

1S6. i65, iS8, J

S5

42., . · Whiclulation had

i:S a n Y ~ d u r i n g

'lIte llUigO is

;

.

the

wlJek

as

the

mean

number

ofJi:steuas

(A) 5

1t t

the

sUmon..duriDgthewedt?

~

.

{B} 20

(C)

1 0

(AJStabollA

(D) 155

(8) SmtionB

.p

(C)

CD) Stationn 46.

Which ofUlefoUowmg.represent.'J theequa-.

tiOIl ofa slraigbt line?

- .

bt-43

refers to th<;.scOr'C$-kiowa.

(A) y= .x+

3

10

15

4

1

4

8

(8)

-

8

1

4

x

13. The

median

"f tbe

eight s c o f e S ~

.

..

(C)

y=x

l

-4

~ . h o v e i ~

{D) y

= r·f

).x 5

{A;

{H

7:25

{()

1.50

(0)

8

- -----.. · -.- ....-.• . ~ . N · . · - · . ' v · __ . , _ . _ ...

8/17/2019 Math May-June 2008 p1


- - - -

1

-11/

.

,-

. 14

(;\)

(0,3)

Il)

O ~ 2

(G')

(3.-2)

D)

O ~ - 2

...

f. t t' ,, .

t • • t -

- i

Om

rUt

'

I

fl\J1l\ the

& 'aph • the

~ l l l l e B

x · n e t ~

r

y ~ · l ~ ~ .

A)

;

and··}

(B)

2.2 and -?-1.

C) 2.5 and

..

-2.5

{D) 2.8 and -')...8

·

i

I

i

t

•

8/17/2019 Math May-June 2008 p1


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. '_

..

- fH.

Items

>it)

54} rder to the

f05

lm.vlng gntph,

Item 51 f ~ t e r s (o,l.he ft. 1 ~ w i t l g graph.

I

I

.

:

'::;7

~ ? l o

x

.

51.

If

4.

h

$1d

o

Me

GOflstants

and

>

0

, equationorthegntph could be

{A

J 1 = ~ c

·

•

49.

Pl hcmax.imum pohd:

ofy ~

•Xl is

(B)

y=:c-

t a l

ee} y = c +- hx -

ax

r

CA

(O.Q)

(I)) y=ax +hx.+c

(8) (O,4}

(C)

(2.4)

(D) (4,1}

Item S2rererstothedi;sgrnm below,

..

AC

~ 1 l J E 3 r e s t r a i g h t

~ u ~ e : s i n t m e r : l j n g

50.

1 1w

varnes of x for which

Y

....

4x

-

r

,R.

A n g 1 ~ · D B : A

--d

58 0.

m ~ y · O a r e

(A)

.r=Osndx=4

(a)

x ~ O a n d X = 2

(C)

x=Oandx=--4

..

{ }

x = 2 : m d x ~ 4

•• :

-.

't,

I

-II

,'J

f

52.'

The measut C

f l m g 1 e 4 1 : J ~

is

I

58

0

~ .

~

@

(C}

142

3Q2O

·

:;.:.

f

: i

•

8/17/2019 Math May-June 2008 p1


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.

'

j

;, i

. ; . . . ~

.

, .

i:

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JI:.

0 ,

• J

I

t - '

. '.

. 1

•

I l

I,L'

4'

v : i ...

Rd1c.-Wnr.

mosLttion

Rotaiion

-tt

. .

....

J •

-

- . _ . - -

,_._ ' ' ...._--.

-,

' - ' - ' - -

-

/

, .

vp :

.

,

53.

In

the

~

ah\'wc, OPQ is mappQd to

Aorrr

WOOl

t y p . : . Q f t r a n s f o n n a t , u ~ n h a . ,

fak¢nplAce?

.:

8/17/2019 Math May-June 2008 p1


- l2.

..

A s h ; p s a \ l e d g k m d u e e u s t f i ~ m ~ t o R

It

~ ~ 55 e f ~

to h . ~ d i a < $ n \ l l 1 · b e o w .

then saiJcd

6 kn'Uluc

n o r ~ h to

C.

Which

diagr.im

below

E S T f C p r C S l : . J i t ; l h ~

pa hof

J'

.

thesbip'

8.

, -: ::

..

a

'

~ 1 € . .

: :

-.;:

".

-

~ ~ /

N

4\

-fHc.

.. .

J

A

..

(4.0)

..

~

•

-

(8)

l

'1

A

f

· t

L.,---

8m

.1

55:':

A)

(:J

)

GJ

(C) .

2)

. .til

h e ~ · t f l e t r a n s l a i i o n

by

which

A

is maooedOJIlQA'lY is'repn::scnt1:d

by

(C)

N

.If

(O)

GJ

,

I

·c

refers to the diagram below.

A

8km

B

(D}

"

"

1 1

.1\

J

,

; 8 ~ ~ ,8 ,

.,

- j

.

Is kin

I

..

c

~

~

~ ~ {

~ ~ . . . /

·..

··

.J

.'

,-

- \ \ _ ~ ' - - ' .

400

~ . Q < >

140';>

B j,; pm',l leJ t '. fiC. ThiJrnea...<:U1'C(,r

L d r ~ J · ~

t.

(A)

a)

{C}

: ---_._--

.,_._-

-.

..

,.-. . ,

8/17/2019 Math May-June 2008 p1


,

i

le.

V) = i -

fOtan3 '

IOsinJOO

lOcos 30"

lOcos6l)°

x·

"rhe diagrdm a£Ovc. not

drawn.

to sca le

.

.

sbowslhat

the angJeofdcpresmon

ofa point

Xftom

is 300.

£fXis

10 metres

rom r

the heightoen inmetres, is

Item. 60 ref¢rs

to

the foUo\\o'ing graph whicl1

s h o w ~ the 't();nt A.

60_

b t ~ theoo,«din llcs

ofdlC

image-ofA

under reflection in ''''',;MOOs? .

f o f J ~ J : f f i S T describesthe

8D.

equiJaleralui angic?

50

-

X

%

S

S

-

130

r

130

. 1\) { _ ~ 4)

(H) P ~ - 4

(C}

(4.

oJ)

(D) Hf-.3)

_ ...... BEFORE TL.\fE IS A L L F . . J } ~ HE KYOURWORK

N T I 1 l S · ~ T

sides areequzl.

ziJgle.s e q u a 1

:G i1twO sides

are equal

t w o a n g l e s a r e ~ .

Documents

Math May-June 2008 p1