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Sample Maths Paper

3 pages, 35 questions, 0 questions with responses, 0 total responses,    0    0
Soumyajit Datta
Don Bosco School, Bandel, Hooghly
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G e n e ra l In s tn g S e c tio n 6 qu Q e s A f2 n n u m a be rs f c a lc t la to se o o l to 4 in s e c o A n r is n o r n o u ltip 1e c n o u a re m t o f th e g iv e n fo t p e r m itte d p tio ' S A . B . .e '" t " '' " . B c o m p r is e s f 1 n a r k e a c h , S e c tio n tio n s o f 3 m a r k s e a c h m p r is e s o f 1 0 q u e s \ ; . f 4 q u e s tio n s o s e c tio n C c o rks e a m s e le c t o n e c o r r e c t o U ,X c o n p r is e s t io n s o tio u e s 1 tio n s c 1C e q u c ' "u ' " m Jr - " . . ' u r A O N SECT b e rs 1 to 4 c a r r y l m a r k e a c h F o r e a c h o f th e q u e s tio n s 1 4 , fo u r altermtiuechoic ? h a D e b e e Tt p r o u id e d o f t o h ic h o n ly o n e is c o r re c t Y o u h a D e to s e le c t th e c o r r e c t c 1 W n ic h o f th e fo llo w in g e q u a tio n s h a s th e s u m o f its r o o ts a s 3 ? Q u e s tio n n u m (a ) Y 3x + 5 = (b )4 o 3x + 3 + (c )4 2 0 = L ln F ig 1 , P Q a n d P R a r e ta n g e n ts to th e th e n Z O Q R is e q u a lto 3 Th e h e ig h t to th e b a s e o f a n a co n e d its v is 6 0 o u m A cm is e sm a ith c ir c le w ll c o n tl th e v o is e lu m x K 2 e o base (a ) 4 15 If th e th e ir (a ) t a h ic h th e w qb) cm fe r e n c ir c u m a re a s 22 : se c tio 30 ce o is n a fa (c ) c ir c le is e 45 5 m m F in d t h f o r ig in a su ch q u a l to th e p e r im e te r o fa is a t Z " ts o Q PR p la n 50 - , p a r a lle ! e cm sq u a re tfie n th e 14 11 fc ) 7 22 . r + ? (d ) 11 7 .F B be rs 5 to to c a ro o . b) 7 th z 3x l coe T h e h e ig h t fr o m (d ) 2 0 c n SECT O N q u e s tio n tr e O 3 J? d e Is cm F m cen (d ) 0 = t o ff a t th e tq p b w cu 64 1 f th e fo llo w in g q u a d r a tic :i )C ; e 3 x . q u a tio n o + k + i i , Scanned by s T iO N P A P ILR B o lj P M A 2, 4x b e FS # n u m Fb 2 . : , 6 e tf tb , r e o ta i g Tw 0:m 9 H n 1 . te P A a n d P TJ an a re 7 d lw c ir c le o f r a F lg 2 / a d $x d ra w n 2 * fr a a r# m In A P . l8 In l i r lb e d In cm ln {l th # Vi ) (} \ p n ln t p l a f4 l a liq Tj a r g , , w M h tw*tre ttfn l th fe a n ta ahad , m an ow y B h o ts e a c t te a d s p h e r ic a , 3) 5 p o in t p ( , is o n e o f th e tw h h a v in g d h p o in ts o o s nu m Q u e s tio r :k JW o d ic e b e rs 1 1 to 2 0 c a r ry a re th r o v w a . u m 3 s e ad m a r l t th e s a m im ber w e , h su m o f 1 & F in d t e p tw o ta n g e n ts Q 1 5 In F ig 3 , a b e tw are ii $ 16 D 1oo d ra w h ag)eABC Y " s id e c = es \ 20 0 t to a c ir ? 6 m A B & Jo ir in r ' i = 5 a m $ : : $ : o geaingdif erefr e s tim e s i a t to m w d iv is ib k b y 9 a i h c e n tr e o tr o a a re F ig 3 ra w de m : t m a f th e i ? een be ca n cm C d b y 12 , b e c o m nd p R th e in te g e r s n o i tim e F in d e a se 3 e te r r r f tr is e c tio - ! .. an ite r n a an d Z ABC = op , T h e a o o M ad f A A C Scanned by : i$ > . Th a t M . l9 O n u t ( X H l o f thtl h m l$ h A hemlp}ierlcal d w . d la m (l r li ! ' p ! e a lly o n th g r o u n d j A to w e r B ta M i v e r t th t$ }Ne a w a y Fr o m th e fo o t o f th e to w e r , , n t o n th e w o ? i o n o f th e t )P (if )f e le v a ir c}m 2 jD P r o v e th a t th e p o !n t A (4 / a ), o g F m v F tlc e q o f a p a r a lle , , . 21 22 . . 2 3, : 24 , 25 , T h e p ln t A c a r cl w th e b o x , 9 ), 9 , O N B ECT 5 ), C ( , $ ) a re , - w , . A n th a t T Ti n A C g i . ' ih e o rd a r fa tr la le e te b o x A c a rd l# e h d ae a h ic h l# t e le c te , d t a n g}e d iii rl a t ra n d o m n u m b gr w Ir61 h le h j* a n d th e n tr a v e ls a ta n c e o f 6 3 k m f o r a cllt d e e s e r f lt e n v l a p # lt# o r ln a t *Ped A tr a in tr a v e ls a t a e e r ta n r rn o r e th a n h k / m f 6 d o e d lte ta n e Q o f 7 2 k m n t n n a v e r a g e t w 2 90 f w h o $ e q u a f c j# l8 I n te g e r s , u rn o l t e l v o d d l t o v e u B c p p ln d tw o c o n e ts o f a B c h o o fo r w to tu d m a e h p r n c e v e a i e v d t o g dl f A u m o f < 14 0 0 1 to b e u e 0 le e b th a n th e p r e c e n p F c e i l I c h p r l l8 r 4 m e c f n r m o r i e d c m th e ir o v e r a ll a c a e p , , r 2 0 ) Y . D th e v tlc l o l In l ith m n rt)e r 2 tp 1 o a l e p a c e c d p ln d th e p r o b a b lllty th a i th e w 4 - p a in 6)a n d P ' U (6 , 4 ), C (5 , # h l# d w h i t to a c ir c le a r e e q u a li. d r a w n fr o m a n e x te r n a l p o n 2 6 , p r o v e th a t th e le n g th s o f ta n g u n ta h t k e n o u t o f It, h a s b e e n I s d u g T he e a rt , a d e e 4 1 m d n a 3 p m t i 2 7 A w e ll o f d la m e e th 4 n to fQ r m l r ln 8 o f w lc h t e h a R e o f a c ir c u a r I d t n n l r u a o d a a r l e B v e n e y p ' ? . 0 2& 6 . n te r n al ld a a c k e d }n a c u b o e 2 1 b la s e e p h e r e g , e i\c h o f r ja d lu s 2 c m a r p 4 t lc d w ith a t e r th e b o x l f d lm e n s lo n s 16 c m x 8 c m x 8 c m n d , th e n h bo x v o lu m e o f w a te r fille d In t e f ti c lr c u a l n A n d th e c lr c u m fe r e n t e s o T h e e ta n t h e ig h t o f th e fr u tu m o f a c o n e l8 4 c l ln d c u r v e d urface a r e a o f th e fr u e tu m e n d a r e 18 c m a n d 6 c m a n d to p o f a e 8 o f e le v a llo n o f th e b o tto m p m m a p o in t o n th e g r o u n d , th e a n g " e c tlv e y p o f a 20 m h ig h b u lld ln 8 a r e 4 5 a n d 6 0 r e B p tr a n n m ltjs io n to w e r fix e d a t th e P ln d h e ig h t o f th e to w e r . 9 , ' 29 . , , 9o . , Scanned by

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