drill exercises - program motivasi pmr (mathematics).doc

8/10/2019 DRILL EXERCISES - PROGRAM MOTIVASI PMR (MATHEMATICS).doc

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1 Calculate the value of 33023 8 Calculate the value of )642(365

2 Calculate the value of 23612 9 Calculate the value of

2

13616

3 Calculate the value of )345(239 10 Calculate the value of )4(3667 +


5 Calculate the value of)]9(12[255 +

12 Calculate the value of )336(478


7 Calculate the value of 92771 14 Calculate the value of 36327

2


2/25

15 Calculate the value of21

2

2

13

2

11 + and

expre the an!er a a fract"on "n "t

lo!et ter#$


2

4

11

6

1 + and


lo!et ter#$


3

7

11

5

1 + and


lo!et ter#$


3

3

12

5

2+ and


lo!et ter#$


4

2

12

2

11 and


lo!et ter#$


11)

3

13

2

1( + and


lo!et ter#$

18 Calculate the value of

+

4

3

2

13

2

1 and


lo!et ter#$


3

6

5

3

21

and


lo!et ter#$

3


3/25

23 (a) %"nd the value of &

3 008$0

(') Calculate the value of &

3

525

4


3 000064$0

(c) Calculate the value of &

2

)2(16

1


3 027$0

(d) Calculate the value of &

2

38116


3 125$0

(e) Calculate the value of &

2

3 481


3 216$0

(f) Calculate the value of &

3

4

1

144


3

125

1

() Calculate the value of &

23

9

227


3

125

8

(h) Calculate the value of &

( )2

100025$0


3

8

33

(") Calculate the value of &

3

2)2(361

31 xpand each of the follo!"n expre"on&

(a) )5(3 hk


(a) )3(2 yx

4


4/25

(') 17p* 2(3 + 5p) (') 12n+ 2(3n* 5)

32 xpand each of the follo!"n expre"on&(a) )9(2 hg

(') 25y* 4(1 + 3y)

36 xpand each of the follo!"n expre"on&(a) )3(3 abb

(') 7h* 3(8 , 5h)


(a) )3(2 vu

(') 13s* 2(5 * 3s)


(a) )68(2

1kj

(') 27g* (,3 * 10g)


(a) )912(3

1wu

(') 45m* 3(9 + 5m)


(a) )7(3 wu

(') 15r* 2(3r, 7)

39 Diagram 1"n the an!er pace ho! -uadr"lateral STUVdra!n on a r"d of e-ual

-uare$ UT" the "#ae of UTunder a rotat"on 180.a'out the po"nt /$

n Diagram 1 co#plete the "#ae of -uadr"lateral STUV$

5


5/25

n!er &

Diagram 1

40 Diagram 2"n the an!er pace ho! -uadr"lateralABCD dra!n on a r"d of e-ual

-uare$BC" the "#ae ofBCunder a rotat"on 180.a'out the po"ntX$

n Diagram 2 co#plete the "#ae of -uadr"lateralABCD$

6

UV

TS

T

U

Q


6/25

n!er &

Diagram 2

41 Diagram 3"n the an!er pace ho! -uadr"lateralPQRSdra!n on a r"d of e-ual

-uare$ QR" the "#ae of QRunder a rotat"on 180.a'out the po"ntX$

n Diagram 3 co#plete the "#ae of -uadr"lateralPQRS$

7

C

D

B

A

X

C

B


7/25

n!er &

Diagram 3

42 Diagram 4"n the an!er pace ho! -uadr"lateral STUVdra!n on a r"d of e-ual

-uare$

8

X

P

Q

R

S

Q

R


8/25

n Diagram 4 dra! the "#ae of -uadr"lateral STUV under a reflect"on a'out the

l"nePQ$

n!er &

Diagram 4

43 Diagram 5 "n the an!er pace ho! pentaon ABCDEdra!n on a r"d of e-ual

-uare$

n Diagram 5 co#plete the "#ae of pentaonABCDE under a reflect"on a'out the

l"nePQ$

9

UV

T

S

P

Q


9/25

n!er &

Diagram 5

44 Diagram 6 ho! t!o -uadr"lateral PQRS and PQRS dra!n on a Carte"an

plane$PQRS" the "#ae ofPQRSunder tranfor#at"on F$

10

A

B C

ED

P

Q


10/25

y

x24 6420

2

4

6

4

2

Q

S

RP

Q

S

RP

ecr"'e "n full tranfor#at"on F



11

Diagram 6


11/25

y

x24 6420

2

4

6

4

2

P

R S

Q




12

Diagram 7

Q

R

P

S


12/25

y

x642




13

Diagram 8

2

4

6

P

Q

R

S

24 0

4

2

P

Q

R

S


13/25

y

x24 6420

2

4

6

4

2

P

R

S

Q




14

Diagram 9

P

Q

R

S


14/25

y

x24 6420

2

4

6

4

2

P

R S

Q


49 "t all the "nteer value ofx!h"ch

at"f the "ne-ual"t 2x* 1 3 $


at"f the "ne-ual"tx , 7 >,1$


at"f the "ne-ual"tx + 7 >5$


at"f the "ne-ual"t 3x , 1 >5$

15

Diagram 10

P

Q

R

S


15/25


at"f the "ne-ual"t 6 ,x >5$


at"f the "ne-ual"t 622 x


at"f the "ne-ual"t 41 x58 "t all the "nteer value ofx!h"ch

at"f the "ne-ual"t 813 +x


at"f the "ne-ual"t 752 >x59 "t all the "nteer value ofx!h"ch

at"f the "ne-ual"t 107 n

61 "t all the "nteer value ofx!h"ch at"f 'oth the "ne-ual"t"e 3x* 2 4 and

x + 6 5$

16

n & 0 1 2


16/25


2,x 1$

63 "t all the "nteer value ofx!h"ch at"f 'oth the "ne-ual"t"e 3x+ 2 5 and

1,x 3$


3 *x 5$


3 ,x 1$

17

n & 2 3 4 5

n & , 1 0 1

n & , 1 01 2

n & 2 3 4


17/25

,67 "t all the "nteer value ofx!h"ch at"f 'oth the "ne-ual"t"e 2x+ 5 : 3 and

4 ,x 5$

68 "t all the "nteer value ofx!h"ch at"f 'oth the "ne-ual"t"e 3x+ 7 : 4 and

4 ,x >1$


3 ,x >2$

70 ;n Diagram 11 C" the #"dpo"nt of the tra"ht l"neBD$

18

A

B DC

13 c#

7 c#

x.

n & , 1 0 1

n & , 1 0 1 2

n & , 2 , 1 0


18/25

Diagram 11

%"nd the value tanx.

71 iagram 12ho! a r"ht anled tr"anleE!andDE" a tra"ht l"ne$

Diagram 12

%"nd the value cox.

72 ;n iagram 13,QTS" a tra"ht l"ne$

19

D E

20 c#

16 c#

x.

!

Q ST

8 c#

12 c#

x.

P

y.

R


19/25

Diagram 13


20/25

Diagram 15

75 Diagram 16 ho!a r"ht anled tr"anle PQR"

Diagram 16

76 Diagram 17 ho!t!o r"ht anled tr"anlePQT and CDB

21

5 c#

x.

S

15 c#

P

RQ

39 c#

y.

T

R

y.

;t " "ven that "nx.=13

5and coy

.=5

3

(a) f"nd the value tan x.

(') calculate the lenth "n c# ofPQR$

QP

;t " "ven that co y.=135

calculate the lenth "n c# ofPQ$


21/25

Diagram 17

77 Diagram 18 ho!a r"ht anled tr"anle PQR"

Diagram 18

78 >he d"ara# ho! a parallelora#$ n the -uare r"d of "de 1 c# "n the an!er pace

dra! the parallelora# u"n the cale 1 & 200$

22

10 c#

x.

S

30 c#

P

RQ 48 c#

y.

14 #

8 #

6 #


22/25

79 >he d"ara# ho! a trape?"u#$ n the -uare r"d of "de 1 c# "n the an!er pace

dra! the trape?"u# u"n the cale 1 & 200$

80 >he d"ara# 'elo! ho! polon @ dra!n on a r"d of e-ual -uare !"th "de of

1 un"t$

23

16 #

6 #

10 #

S


23/25

n the r"d "n the an!er pace redra! polon @ u"n the cale $2

1&1

81 >he d"ara# 'elo! ho! a polon$

24

45 #

20 #


24/25

n the r"d "n the an!er pace redra! the polon u"n the cale $500&1

82 >he d"ara# ho! a parallelora#$ n the -uare r"d of "de 1 c# "n the an!er pace

dra! the parallelora# u"n the cale $3

1&1

25

35 #

10 #

4 c#

2 c#

1 c#


25/25

26

drill exercises - program motivasi pmr (mathematics).doc

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