cemerlang pmr. 2008

8/10/2019 cemerlang pmr. 2008.

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1. Diagram 1 shows a number line.

The value ofyis

A 106B 116

C 118

D 120

2. Givenx

6

7

2= =

!

y. The value of yx+ is

A "#B 21

C 1#

D 1

". Diagram 2 shows a number line.

$hi%h o&era'ion re&resen's 'he above number line (

A ) 2 ) * 2

B ) 2 ) * 6

C ) 2 ) 2 * 6

D ) 2 ) 2 * 2

!8 102 y 126

D+AG,A- 1

) ) " ) 2 ) 1 0 1 2

D+AG,A- 2


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3/26

7. A 'es' s'ar's a' 1"0 hours. The 'es' 'a/es 1 hour "0 minu'es. Ahma finishes 'he 'es' 10minu'es ealier. A' wha' 'ime Ahma finishes 'he 'es'(

A 10 hour B 1##0 hour

C 1600 hour

D 1610 hour

8. +n Diagram # LMNanPMQis s'raigh' line.

The value ofxis

A 2B 8

C #2

D #8

!. +n Diagram 6RSTis a s'raigh' line.

in 'he value ofx

A "!

B #7C 6

D 78

M

Q

P

L

N

32o8o

xo

D+AG,A- #

R S T

""o

108oxo

D+AG,A- 6


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10. +n Diagram 7KLNQ anPQRS are 'wo re%'angles.

in 'he area of 'he shae region in %m2.

A "2

B "

C 2D 6

11. ame 'he solis wi'h 'he following ne's.

3i4 3ii4 3iii4

3i4 3ii4 3iii4

A &rism %one &5rami

B &5rami %5liner suare

C &5rami %one &5rami

D &rism %5liner &5rami

6 %m

2%m

" %m

8 %m 2 %mM N

P

K

L

R

S

D+AG,A- 7


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12. Diagram 8 shows a %uboi.

+f 'he 'o'al surfa%e area is 2"6 %m 2 fin 'he value of x.

A 8

B !

C 10D 11

1". +n Diagram !PQRSis a re%'angle. Two %ir%ular ar%s are rawn from &oin's PanR

res&e%'ivel5 on 'he re%'angle.

Among 'he &oin's A B C an D whi%h &oin' is euiis'an' from linePQanPSbu' less 'han

%m from &oin'R (.

x%m

# %m

6 %m

D+AG,A- 8

A

BC

D

P

S R

Q# %m

%m

D+AG,A- !


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1. Diagram 10 shows a uaran' of a %ir%le wi'h %en're 9. OPSan OQRare s'arigh' lines.Given OS = OR= 20 %m.

Cal%ula'e 'he area in %m2 of 'he shae region. 3:se =7

22).

A 6

B !8

C 1#D 616

1#. Diagram 11 shows a semi%ir%le wi'h %en're Oan a 'riangleRST. Tis 'he mi;&oin' of US

anRis 'he mi;&oin' of QS.

in 'he area of unshadedregion. 3:se =7

224

O

U

T

S R

P

Q

2 %m

"8 %m

D+AG,A- 11A 1!!.# %m2

B 6!".0 %m2

C 70".0 %m2

D 8!2.# %m2

S

P

O Q R

1 %m

D+AG,A- 10


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16. Diagram 12 shows a righ';angle 'riangle.L is 'he mi;&oin' of KManLJ is &arallel 'oMN.

+f KN= 2# %m anMN= 1# %m fin 'he leng'h of KL

A # %mB 10 %m

C 1# %m

D 20 %m

17. +n Diagram 1" 'riangleLMNis 'he image of 'riangleJKLuner a %er'ain isome'ri%

'ransforma'ion.

The value of xis

A 188oB 172o

C 160o

D 1##o

18. 7x)y* 2x) 3) "y4 =

A #x* y

B #x) 2y

K

L

M

J

N

2# %m

D+AG,A- 12

68o

J

L

N

M

K

D+AG,A- 1"

xo


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C !x* 2y

D !x) y

1!.


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A 27 %mB "0 %m

C "2 %m

D 2 %m

2". ,a'io of 'he number of mangos'eens %olle%'e b5 Chua A?har an @umar is > # > ". Toge'her 'he5 have 80 mangos'eens. A?har gives 20 mangos'eens 'o Chua anano'her "0 mangos'eens 'o @umar. The new ra'io of 'he number of mangos'eens owne b5

Chua A?har an @umar is

A 6 > # > #B 6 > # >

C 6 > # > 2

D # > " >

2. Diagram 16 is a &i%'ogram showing 'he number of a%%ien's o%%ur a' TownPfrom anuar5 'o

-ar%h.

an

eb

-a%

Choose 'he %orre%' s'a'emen' for 'he above &i%'ogramA Ten a%%ien's o%%ur wi'hin 'hree mon'hs.B umber of a%%ien's in%rease from anuar5 'o -ar%h.

C anuar5 has one %ase more 'han -ar%h.

D ebruar5 has 'he highes' number of a%%ien'.

2#. Diagram 17 is bar %har' showing 'he 'o'al sale of 'wo '5&es of %ars for four %onseuen%es

mon'hs.

D+AG,A- 16

10

20

"0

0

umber of

%ars

A


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Cal%ula'e 'he ifferen%e of sales be'ween 'he 'wo '5&es of %ars.

A "0

B 0C 60

D 80

26. Diagram 18 shows a %ombine regular &en'agon an a regular o%'agon.

The value ofxis

A 108o

B 117o

C 127o

D 1"#o

27. +n Diagram 1!JKLMNPis an irregular heagon.

The value of xis

A "8o

1#2o16"o

20o

"x 1""o

x

J K

L

MN

P

D+AG,A- 18

D+AG,A- 1!

x

D+AG,A- 17


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B 76o

C 11o

D 1#2o

28. Diagram 20 shows a righ' %ir%ular %5liner.

+f a %one is remove from one en of 'he %5liner %al%ula'e 'he volume of 'he remaining

soli. 3:se =7

224.

A "080 %m"

B 2772 %m"

C 21#6 %m"

D 718 %m"

2!. Diagram 21 shows a %ir%le wi'h %en're O.

+f ar%JK= ar% LM 'he value of qis

6 %m

1 %m

20 %m

D+AG,A- 20

#2o

q

J

K

O

M

L

D+AG,A- 21


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A 10o

B 76o

C #2o

D "8o

"0. +n Diagram 22PQRSis a %5%li% uarila'eral.

alue of x*y=

A 1#6o

B 1#2o

C 12oD 1"o

"1. Diagram 2" shows a s%ale rawing of a %lassroom.

+f a s%ale of 1 > 200 is use fin 'he a%'ual area of 'he %lassroom in m2.

A 120

B "00C 600

D 1200

# %m

6 %m

D+AG,A- 2"

D+AG,A- 22

PQ

R

S

#o

82o

y

x


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"2. A bus %om&an5 sol for'5 'wo 'i%/e's for ,-26. +f 'he %os' of ea%h 'i%/e' for %hilren anaul's are ,- an ,-7 res&e%'ivel5 how man5 'i%/e's for %hilren an aul's have been

sol(

A %hilren = 1" aul's = 8

B %hilren = 16 aul's = 26

C %hilren = 26 aul's = 16D %hilren = 7 aul's = 1

"". An + 'es' %onsis's 2# ues'ions. A %ania'e is %onsiere &ass 'he 'es' if he has less 'han

'hree mis'a/es. +fxre&resen's 'he number of %orre%' answer whi%h ineuali'5 re&resen'sx (

A 22 E x E 2"

B 22 E x E 2#C 2" E x E 2#

D 2" F x E 2#

". Diagram 2 re&resen's 'wo simul'aneous linear ineuali'ies.

$hi%h of 'he following re&resen's bo'h 'he ineuali'ies (

A x F ) 1 an x #B x E ) 1 an x H #

C x H ) 1 an x E #D x ) 1 an x F #

"#. Table 1 shows 'he &ri%es of &a&a5as an oranges sol a' a mar/e'.A?mi bough' 20 /g of &a&a5as while Ba/ar bough' 1# /g of oranges.

rui' ri%e

a&a5a ,-.80 &er " /g

9range ,-0.!0 &er "00 g

The ifferen%e of &ri%e &ai b5 Ba/ar an A?mi is

A ,-1".00

B ,-1#.00

C ,-"!.00D ,-102.00

) 2 ) 1 0 1 2 " #

I

D+AG,A- 2

TABJ< 1


14/26

"6. A %ar 'ravels from @ 'o J wi'h a s&ee of "0 /mKh an re'urn 'o @ wi'h a s&ee of 0 /mKh.

Given is'an%e of @ an J = 20 /m fin 'he 'o'al 'ime 'a/en in hours for 'he wholeourne5.

A 12B 16

C 1

D 10

"7. Diagram 2# is a &ie %har' showing 'he number of T;shir's a%%oring 'o si?e sol in a

su&ermar/e' for a %er'ain a5.

+f 'hir'5;eigh' T;shir's wi'h J si?e were sol on 'ha' a5 how man5 T;shir's wi'h - si?e weresol (

A #6B 6

C 168

D #06

"8. Table 2 shows 'he is'ribu'ion of s%ores re%ore in a game.

L%ore 1 2 " # 6reuen%5 " # 2 x 2 1

+f 'he moe an meian is fin 'he &ossible smalles' value of x.

A 6B 7

C 8

D !

D+AG,A- 2#

TABJ< 2

M

L

L

XL

11o

#o2o

M

L

L

XL

11o

#o2o


15/26

"!. $hi%h of 'he following &oin' oesnotlie on 'he gra&h of fun%'ion 12= xy (

A 3) 1 0 4B 3 1 0 4

C 3 0 ) 14

D 3 0 14

0. Diagram 26 shows gra&h of fun%'ion "= axy on a Car'esian &lane.

in 'he value of a.

A ) "

B"

1

C"

1

D "

"= axy

x

y

0 1

) "

D+AG,A- 26


16/26

END OF QUESTION PAPER

answer all questions

1. Calculate the value of

+5

2

3

11

5

32

Answer

[ 2 marks

2. Evaluate 12 ( 6

1 ) x .!56 an" ex#ress the answer correct to two "eci$al #laces

Answer

[ 2 marks

3. a. %in" the value of .33

&. Calculate the value of 253 28

Answer

a.


17/26

&.

[ 3 marks

!. 'iara$ 1 * is a $i"#oint on a straiht line QSan" sin +5

!

a. Calculate the lenth in c$ of QSb. %in" the value of tan y

Answer

a.

&.

[ 3 marks

,

12 c$

*-

/

'0* 1

y


18/26

5. 0n 'iara$ 2 the 4ites C' in the answer s#ace was "rawn on a ri" of equal squares.

C

'

7n the "iara$ "raw an" la&el 88C8'8 the i$ae of C' un"er a reflection at line

[ 2 marks

'0* 2


19/26

6. 'iara$ 3 shows a #ris$ with riht9anle" trianle &ase.

7n the ri" in answer s#ace "raw a full net of the #ris$. :he ri" has equal squares with si"es of 1 unit

a.

&.

c.

".

e.

f.

.

h.

i.

;.

4.

l.

$.

n.

[ 3 marks

3 unit ! unit

5 unit

'0* 3


20/26


21/26

9. :he ta&le shows the nu$&er of stu"ents who #la= four t=#es of a$es

Types of games a"$inton %oot&all et&all @olle=&all

Number of students > 25 15 12

Co$#lete the #ie chart to re#resent all the iven infor$ation in :a&le 1.Answer[ 3 marks

10. %actoriAe co$#letel=

a. 2 $ n > $

&. a & B 5 & 3 a 15

Answera.

&.

[ 3 marks

:E 1


22/26

11. -i$#lif= ( n B 3 ) 2 n 2 3

Answer

[ 2 marks

12. -olve each of the followin equations

a. 2 = + 3 =

&. ! B t +3

2t +

nswer

a.

&.

[ 3 $ar4s

13. ist all the inteer values of x which satisf= &oth the inequalities 12

xan" 2 x D !

Answer

[ 3 marks

14. iven 32 x >1 +n6 fin" the value of n


23/26

Answer

[ 2 marks

15. -i$#lif=( )

( )222332

yx3

yx9x

Answer

[ 3 marks

16. iven that 45

)3#(2=

ex#ress # in ter$s of 4.

Answer

[ 3 marks

17. Ex#ress6&

2&

3&

2 as a sinle fraction in its si$#lest for$

Answer


24/26

[ 3 marks

18. 'iara$ 5 in the answer s#ace shows four isosceles trianles PMQ QMR RMSan" PMS.!an" "are three $ovin #oints in the "iara$.

a. $oves such that it is equi"istant fro$ Qan" S

= usin the letters in the "iara$ state the locus of

&. 7n the "iara$ "raw

i. the locus of ! such that M!+ 3 c$

ii. the locus of " that are equi"istant fro$ straiht line PQan" SR

c. ence $ar4 with the s=$&ol all the intersections of the locus of !an" the locus of "

[ 5 marks

M

P

R

Q

S '0* 5


25/26

19. Se# s$%ares an& 'r(#ra)#(rs are n(# a**(we& +(r se)#,(n (a).

'iara$ 6 shows a trianleA-. iven that -/+ /a. einnin fro$ the straiht line -#rovi"e" in the answe

s#ace constructi. the trianleA-ii. straiht lineA/

&. ase" on the "iara$ $easureF

i. the anleA-

ii. the lenth ofA/

Answer

-

A

- /

6)m >)m

'0* 6


26/26

[ 6 marks

20. se #e ra' 'a'er be*(w #( answer #,s $%es#,(n

:he ta&le shows the values of two varia&lesxan" y of a certain function

x 3 2 1 1 2 3

y 3 11 ! 3 2 5 2!

'raw a ra#h of the function &= usin a scale of 2 c$ to re#resent 1 unit on the xaxis an" 2 c$ tore#resent 1 unit on the yaxis

[ ! marks

cemerlang pmr. 2008

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