L S S : VIII M TH E M T I C S 1 E ach of the numbe r s 1 , 2, 3 a nd 4 is s ubstitu t e d . i n s o m e orde r for p , q , r and s . T he gr eate st possible v a l uo o f p q + r 8 is A ) 1 4 B ) 1 9 C ) 66 D 8 3 2 . D e termine all order e d pair s t ha t sati sfy x - y ) 2 x 2 = 5 , wher e x n d y a r e in tege r s an d T he nu mb e r of d ifferent v alues of y t hat o cc u r i s : A)3 B ) 4 C)5 D ) 6 3. · The pie c h a r t show s a percent a ge breakd o w n of 1000 votes i n s t udent elections. How m a n y votes d i d Susha n t h recei ve? A) 550 B 3 50 C ) 3 3 0 D) 4 0 4 . I n t h e d i a gram , DA = CB. What is the meas ure o f D C ? A) 70 ° B ) 10 0 ° C) 9 5 ° D) 12 5 ° U C N /2 0 09/VIII I I www.examrace.com
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1 E ach of the numbe rs 1 , 2, 3 a nd 4 is s ubstitu ted . in som eorde r for p , q, r and s . T he gr eate st possible va l uo ofpq + r 8 is
A ) 1 4 B ) 1 9 C) 6 6 D 83
2. D e termine all order ed pair s tha t sati sfy x - y) 2 x 2 = 5 ,wh e r e x n d y a r e in tege rs an d T he nu m be r ofd ifferent v alues of y t ha t o ccu r is :
A)3 B)4 C)5 D ) 6
3. ·The pie c ha rt show s a percent a ge breakd o wn of 1000 votesi n s t uden t elect ions. How m an y votes d id Susha n threcei ve?
A) 550 B 3 50 C ) 3 3 0 D) 4 5 0
4. In th e dia gram , DA =C B . What is the meas ure o f D C ?
5. n t h e d i a g r a m , D E F G i s a s q u a r e a n d A B C D i s a e c t a n g l e . s t r a i g h t l i n e i s d r a w n f r o m A'', p a s s e s h r o u g h C a n d m e e t s F G a t H . T h e a r e a of t h e s h a d e d e g i o n i s :
A 2 D 4 G
A ) 8 B ) 8 .5 C ) 1 0 ( D ) 9 6 . 1 0 + 1 0 3 e q u a l s
A) 2 . 0 x 1 0 3 B ) 8 .0 x 1 0 3 C ) 4 . 0 x 1 0 1 D ) l . O l x 1 0 3 7 . S o l v e : X 1 = x
- 1 1 A) 1 B ) 3 C D )-3 2
8 . T h e d i f f e r e n c e o f t w o n u m b e r s i s 2 . I f h e d i f f e r e n c e o f h e i r s q u a r e s i s 1 8 , w h a t i s t h e i r s u m ?
9.
A ) 2 0
B ) A n u m b e r b e t w e e n 8 a n d 1 6 C ) A n u m b e r b e t w e e n 5 a n d 8 D ) TI1is v a l u e c a n n o t b e d e t e r m i n e d
1 f 4)( + 4x + 4x + 4x + 4x + 4x + 4x + 4x = - t h e n w h a t i s t h e 1 2 - 3 v a l u e o f - ? X
10. T he a rea o f a circle t h a t is inscr ibe d i:r, a r ight t r ian g lewith s id es of leng th 8 m , 15 m and 1 7m i s :
(A) 9 7t m 2
x c11 . I f = c + 1 th en x = _ _
x 1 '
A ) - 1c
B) c 2 c
Cc
c 1D -
c l
12 . A bag contain s a numbe r o f marbl es o f which 80 are r ed,2 4 a r e wh ite and the re s t ar e blue . I f the pr oba bility o f
1 r an domly sele cting a blu e marble fr om this ba g is
5how
many b lu e ma rbles a re there i n the b ag?
A)25 B 2 6 C ) 27 · D ) 2 8
1 3 . Each a ngle of a re ctangle i s b isected. L et P , Q R a n d S b eth e points o f n tersectio n of the ~ s of bisec t ors adja cen tto t h e same si de of the re cta ngle. T hen PQRS is a:
(A) r ec tang ie
(B) rh o m b u s
(C ) paral le l o g ram with un eq ual ad j ac en t s ides
D) q u ad r i l a te ra l with n o s pec ia l p ro p ert ies
14. n the equa ti on: 4x + y ::; 10, i f th e v alue of x is increas ed by 3, the n what wo uld b e the e ffect on th e cot Tespo ndin gvalue of y ?
(A ) T he value o f y w i l l d ec re ase by 1 2.
(B) T he v a l u e of ''y'' will dec r ea se by 2.
(C) The v a l u e o f y w il l in crease .b y 3.
D) Th e v a l u e of y will be 3 t im es as la rg e .
n i f i e d o a n c U 1 5 . I f x + y = 7 a n d x 2 + y 2 = 1 6 7 , t h e n w h a t i s t h e v a l u e o f x y ?
A ) 1 7 + 4 J 1 1 4 B ) 6 C ) 4 8 + J 6 7 D ) 1 2 2 1 6 . I f i =
t h e n w h a t d o e s x2
e q u a l t o ? A) Vs l B ) 3 C ) 9 ~ D ) {/§
1 7 . A p r i m e n u m b e r i s c a l l e d a S u p e r p r i m e , i f : ' ' d o u b l i n g i t , n d t h e n s u b t r a c t i n g 1 , r e s u l t s i n a n o t h e r p r i m e n u m b e r ' ' . h e n u m b e r o f S u p e r p r i m e s l e s s t h a n 1 5 a r e : A ) 2 B ) 3 (C) 4 (D ) 5
18. W h i c h o f t h e g i v e n g e o m e t r i c s o l i d s h a s t h e m a x i m u m u m b e r o f v e r t i c e s ? (A ) C o n e (B ) C yl i n d e r (C ) C u boid ( D ) Sp h e r e . 1 9 . W h a t w i l l b e t h e d i f f e r e n c e b e t w e e n s i m p l e a n d o m p o u n d i n t e r e s t s a t t h e r a t e o f 1 0 % p e r a n n u m o n a u m o f R s . l O O O a f t e r 4 y e a r s ?
(A ) R s . 6 4 .1 0 (B ) R s . 4 0 .4 0 (C ) R s . 3 2 .1 0 (D ) R s . 3 1 20 . T h e s u m o f t w o r a t i o n a l n u m b e r s i s 3 . 1: o n e o f t h e
7 n u m b e r s i s 5 , t h e n t h e o t h e r n u m b e r i s :
8 A 5
8 B ). 5
- 6 C -
5 6
(D ) -5 21. T h e f i g u r e s h o w s a c u b o i d w i t h a v o l u m e o f 1 8 0 c m 3 •
p + 3 ) e m
W h a t i s t h e v a l u e o f p ''? (A) 2 (B )1 8 (C )36 (D ) 7 2
U n i f i e d o ~ n c i l 2 9 . A c c o r d i n g t o t h e l a w s o f r e f l e c t i o n w h i c h o f t h e f o l l o w i n g t a t e m e n t s i s c o r r e c t ?
A) A n g le o f n c id e n c e i s g r e a t e r t h a n t h e a n g l e o f re f le c t io n B ) A n g le o f in c id e n c e i s l e s s t h a n t he a n g l e o f r e f lec t io n C ) A n g le o f in c id e n c e i s e q u a l t o t h e a n g l e o f r e f le c t io n
D ) A n g le o f in c id e n c e is n o t e q u a l t o t h e a n g l e o f r e f le c t io n 30 . T h e e x p e r i m e n t a l s e t u p s h o w n i n t h i s f i g u r e i s f o r :
n
S t r i p o f c o p p e r
V e r y d i l u t e s o l ) . l t io n o f
c o p p e r s u l p h a t e ~ r o n p l a t e
A) c h e c k in g c o n d u c t iv i ty o f c o p p e r s u l p h a t e s o lu t io n B ) e l e c t ro p la t in g o f i r o n C ) c h e c k in g t h e c o n t in u i ty o f c i r c u i t D ) g lo w in g t h e e le c t r ic b u l b
3 1 . T h e c r u s t o f e a r t h i s t h i c k e r : A) u n d e r t h e c o n t i n e n t s C ) u n d e r t h e p o le s
B ) u n d e r t h e o c e a n D) n e a r f a u l t s
3 2 . W h i c h o f t h e f o l l o w i n g i s n o t a p r e c a u t i o n t o b e t a k e n u r i n g l i g h t e n i n g ? A) B a t h i n g .s h o u ld b e a v o id e d d u r i n g t h u n d e rs t o r m
B ) E le c tr ic a l a p p lia n c e s l ik e co m p u te rs , T V s sh o u ld b e n p l u g g ~ d C ) M e t a l p ip e s in s i d e t h e h o u s e s h o u ld n o t b e to u c h e d D ) E le c t r i c a l l ig h t s s h o u ld n o t b e s w i tc h e d o n
39 . T h e p i n - h o l e c a m e r a w o r k s o n t h e p r i n c i p l e o f : A) R e c ti l i n e a r p r o p a g a t i o n o f l i g h t (B) r e f r a c t i o n o f l i g h t ( C ) i n t e r f e r e n c e o f l i g h t (D ) h i g h e s t s p e e d o f l i g h t 0 . A s p i r i t l e v e l i s u s e d t o d e t e r m i n e t h e s u r f a c e l e v e l . A s h o w n i n t h e f i g u r e , t h e i r b u b b l e w ill b e a t c e n t r e o f t h e u b e i f t h e s u r f a c e i s h o r i z o n t a l . T h i s i s s o b e c a u s e of
P o s i t i o n o f b u b b l e
S p i r i t l e v e l
(A) e q u i l ib r i u m o f fo rce s o n t h e a i r b u b b le B ) b a l a n c e d p r e s s u r e o n t h e a i r b u b b le
(C ) t h e p r o p e r t y o f a i r b u b b le (D ) g r a v i t a t i o n a l fo rces
I n c l i n e d p l a n e ,
41 . W h i c h o f t h e f o l l o w i n g i s N O T a n e f f e c t o f f r i c t i o n a l f o r c e ? A) F l a t t e n i n g o f g ro o v e s o f t y r e d u e to u s e (B ) A ro l l in g b a l l c o m in g t o a h a l t (C) L e a v e s f a l l in g f ro m t r e e o n t o g r o u n d
D ) H o ld in g a p e n c i l i n y o u r h a n d 42. T h e t e r m t h a t d e s c r i b e s h o w t h e b r i n i n t e r p r e t s t h e r e q u e n c y o f a s o u n d , i s c a l l e d :
A) l o u d n e s s (B ) f r e q u e n c y (C ) p i t c h (D ) a u d i t o r y 4 3 . M a t c h t h e f o l l o w i n g .
1 C h a r g e 2 L ig h t e u iD g S E a r t h q u a k e 4 8 e illlll0 g l 8 p h
A ) 1 - Q , 2 - S , 3 - P , 4 - R (C ) 1 - R , 2 -· P , 3 - 8 , 4 Q
U C N 2 0 0 9 / V III
P S e i sm ic n Q E le c t r o s e o p e l
t Richt.eJ s c a le S T h u n d e r stO r m B) 1 - 8 , 2 - Q , 3 - R 4 - P D ) 1 - 8 , 2 - R , 3 - P , 4 - Q
4 4. A can a s shown h ere , u ~ e f or stor ing s oft d r ln lu o r f oodi tems is usual ly el ectroplat e d w ith t in b eca use:
A) t in is less reacti ve than the b as e metal wit h w h i h the c a n is m l(k•
B) tin is ch ea p
C ) t in is s t ro n ger and sh in y in ap p e a r ance
D ) t in i s l igh te r than ot h er m etals45 . W hich of th e f ol lowin g s ta t eme nts o n M oon is NO T
correct ?
A) The M oo n orbits th e Eart h kee p ing th e sam e s ide faci ng us
B ) he gravi ta t i o na l pu l l o f M oon caus e s high tide i n oceans
C ) T h e c ra te rs on M oon, cau se d long t im e ago are s ti ll exis t ingbecause M o on has no atm os p h e r e
D ) Th e su n lights up the c omplete M o on a t an y o n e tim e
46. H arish ro lle d a small s teel ball a t on e edge· of the gla ssbowl as shown. C o nsider th a t the re is no fricti on be twee nth e surface s o f the ball a n d th e b ow l, what w ill happen?
. A
A) T he ball w ill roll out o f the g la ss b owl n ear e d ge •B•
B ) I t w il l sto p a t c en t re po in t · after a n umber of to -a n d-from ot ions
C ) It w ill k eep m oving b etween po in t A and Ba nd w l l never st op
D) It will not mo ve at al l s ince fric tio n is r eq u i re d for m o v e m ent
4 7 . I n a s t e t h o s c o p e , s o u n d o f h e a r t b e a t t r a v e l t h r o u g h i t s u b e :
A ) b y b e n d in g a lo n g t h e t u b e
B ) i n a · s t r a i g h t l i n e
C ) b y u n d e rg o in g m u l t i p l e re f le c t io n s D ) a s u l t r a s o n ic f r e q u e n c y
48 . T h e d i a g r a m s h o w s t h e p a t h o f a l i g h t r a y , X, d i r e c t e d a t p l a n e m i r r o r .
T h e c o r r e c t r e f l e c t e d r a y i s : A ) M . · B ) N C ) O D ) P
49. W h i c h o f t h e f o l l o w i n g s t a t e m e n t s i s N O T c o r re c t ? ) A ll v e g e ta b le s a r e good c o n d u c to rs o f e le c t r ic i ty
B ) T h e so lu t io n u s e d fo r e le c t ro p la t in g i s a p o l lu t i n g w a s t e C ) A c id s a r e b a d c o n d u c to rs o f e le c tr ici t y D ) A n e le c tr ic b u lb g low s d u e to h e a t i n g e ffe c t o f c u r r e n t
50. R e a r o f b u s e s a n d t r u c k s a r e p r o v i d e d w i t h d o u b l e w h e e l s t y r e s o r e v e n m o r e . T h i s i s p r o v i d e d t o : A ) in c r e a s e p r e s s u r e o n g r o u n d B ) d e c r e a s e p r e s s u r e o n g r o u n d · C ) r e d u c e f r ic t io n
i n c r e s e f r ic tio n fo r e f f ic ie n t b r a k in g
Ba sed on t he given fi gure, w hic h s ta teme nt is NOT t ru ea b out the gr owt h of a h um an?
A) G r o w t h occ urs at d iffer en t r a tes a t differe n t s ta g e s
B ) O l d me n show n ~ t i v g r o w t h r ate
C) The g r ow t h r ate d uring infa nc y is s lo w e r c omp ared to duringc h i ld h ood
D) T he g ro w t h rate during adoles cence is faste r co mpa r e d tod uring chi ldhood
78 Wh ich of the follow ing c rops are g rown from Oc tober t oM arc h?
A ) W heat B) Pe a C) Musta rd . D ) A ll of the ab ove
79 Fi gure below show s th e po sition o f layer i n the Ear th satm osphere th a t pr otect s the Ear th from over -ex posure t o harm ful ult raviolet r adiat ion .