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ICSE Board Exam 2018 : Mathematics

7 pages, 50 questions, 49 questions with responses, 223 total responses,

Subham Mishra
Ryan International School (RIS) ICSE, Kharghar, Navi Mumbai

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B J S ij tq ? , u a o , n L ' M , S [H + j u l? ? s \A U S [ 0 % d ! s n d o J l t S t jc l ( / !J o o u sI s s U " S r g u p \ t? . lz z tSI utu\np1 oJ L l t .l u o p l u a s A u U IN o j \ l !s uaao n u J u p t n ul t u a o n . Ju o A a ) q r a s a J \a p Scanned by v ( C a rd s b e a r in 8 is U a w n a (i) a (ii) a n u m t ra p r im (iii) a (iv ) a n b e r s 2 , 4 6 , 8 , I 0 , 1 2 , 14 , 16 , 1 8 n um . do m n e n u m fr o th c b a g F in d th e p r o b a b ility o a re k e p t in f g e ttin g a [4 ] c a rd ba g A h ic h is a c a rd w be r b e r d iv is ib le b y 4 n u b e r th a t is dd ber o m d 20 an n u m ltip le a m u f6 o e s ti X T he 25 m ) ra On v o If (k fe re n c e o f th e b a s e o f a c y lin d r ic a l v e sse l is 13 2 c m d its h e ig h t is an F in d th e c m (i) o u es c ir c u m d iu s o lu m f th e e o 3 ), (2 k c y lin d e r f c y lin d e r (u + 1) a n d se n (4 k + ) - 3 ) a r e th r e e c o n s e c u tiv e te r m s o f a n A P , fin d th e fk tio n 3 If v a lu e (x p ro T 18 5 1 1 v e + 2) th a t an d (x eczo + 3 ) a re fa c to r s + cosec o = o fx 3 + a x + b , f d th e v a lu e s o f ' . ' An d 'b [3 ] ' [3 ] ta n o + c o te 2 Q i Scanned by \ ( ) \Js ln * u ln q \ p a p e r d ra w r a d b y 5 0 b a ls n c n E s tim u s s c o te i h M N o o hlslogmm lb a 4o o0 th e B lv e n d ls tr lb u i to a te th e rh o d e o th e d a ta n sho w in g th e be r n um [4 ] : on 9ooo r 18 4 tm s n \c n 1 9 6 4 Q \ u e s t o t ( \) 4 S o lw te a tl c fo o w in g in e q u a tio , w r ite d o w l th c s tm a n o th e r , So ve x 2 13x + 10 < 24 + 10 x ig h t lin e s 3 x lin d th e + 7x v a lu e o 7 = an 5y 7 - , a n (a ) tio n d g iv e y o d 4x + T h e 4 th te r m A o f th e m an in o f a G P is 16 r e p re s e n t it th e o n y + 9 o . p e e n d ic u la r to a re qu (4 0 M e s tio n s tw a r ks Tr o m d e c im o a [3 ] o n e l p la c e s 4] ) th is s e c tio n an d th e 7 lh te n n is 12 8 F in d th e fir s t te r m an d co m m [3 ] on s e r ie s 1 2 2 5 0 0 in 5 0 v e s ts p a id b y th e co m p a n y is 12 % (ii) T h e ann ua l d iv id e n d (iii) T h e r a te o f ret urn h e g e ts be r o h o le f s h a re s p u n u m ila b le a t 10 % d is c o l n t If th e d iv id e n d c a lc u la te , n u m n e a re s t w s ha re s a v a , (i) T h e T 18 5 1 1 a u r a n s w e r c o rr e t c to u r d 5 r a tio (b ) Set a n la A tte m p t a n y lo u es So u tio n Z x S E C T IO N B Q th e n l n u m b e r lin e 2 + 10 (b ) n rc hase d r e c e iv e o n d h is in v e s tm e n t G iv e yo u r a n s w e r c o rr e c t to th e be r 3 T u rn O v er Scanned by u (C ) A B C D is (i) R es e q a u a fle c t q do ? ila te r a l w u a W r ite (iii) N a i e (iv ) N a m e th e (ii) r th is f gra ph p a p e r o se w n tw o e s tio n ho s e v e r tic e s a r e ? ila te r a l A B c D p o ly g o h ic h w n th e y o n fA th e c o o r d in a te s o p o in ts (T a k e 2 c m \ o n a g b o th an x d y 1) a n d D , ax [4 ] is ) (0 1 ) , , is d an it e n am A B ' C D a s B tu it n 2 ), C (O A (2 2 ), B (2 , ax a i d v a r ia n in a re ' lu - th e a r d e r bo v e re fle c tio n A B D tio n 6 U (a ) s in g p ro p e r tie s o f p ro p o r tio r , s o lv fo e G iv r x 2x + V 4x Zx 4 x z en 1 z th a t is p o s itiv x [3 ] e 4 = 1 [3 ] p ro v e th a t O co t + v a lu e o F in d th e f k fo r w h ic h th e fo llo x O n a n a p dra w fo llo w in g d im (ii) th e a c h a A (2 5 ), B , A B e e n s io n s ( l a re a o o A B = 2 f th e lin : f1 : f th e p lo t in e = 1 in g 50,000, B C 6c m f th e d ia g o M B w + 4 k + n a sq : p a s s in g th r o = (k o + = 2 ha s e o) s e c e 8c m ce n k + 2) 2 [4 ] a A C o [3 ] a l r o o ts O \ la r p lo t d an = qu l a n g le s o f la n d A B C D h a s th e a re [3 ] g h t a n g le s F in d f th e p lo t in k m km v e r tic e s o 2 F in d th e u q u a tio a r e c ta n l d is ta n 1 , 2 ) a n d C (5 , 8 ) a r e th e th a t A M su c h q u a tio n T 18 5 1 1 n to a s c a le o th e a c tu a l le n g th o (i) (c ) n 7 e s tio n (a ) (1 )(1 + t a co s e c f a tr ia n g le A B C co g h th e p o in ts C o r d in a te s o an f M ' ' , ' M H ' is a en ce p o in t o n [4 1 fin d th e d M 4 Scanned by Q u es (a ) io n 8 1750 0 2 0 le s s c (b ) d iv id e d w e re c h i dre n eac , h w o u am o n d h av g a c e r ta in n u m e r e c e iv e d 1 10 0 be r o f c h ild r e n F in d th e m o re H a d th e r e b e e n i ln u m be r o f o r ig n a h ild r e n If th e m ean o f th e fo llo (c ) q u a lly e U s in g 6 5 ru cm in g d is tr ib u tio n is 2 4 fi d h t e n , w le r d an an L d co m A B C = pa ss 120 (i) C o n s tr u c t a c ir c u m O i) C o n s tr u c t a ly o n , c o n s tr u c t a A B C f a [3 ] ' ' su ch th a t B c = 5 cm an d A B [4 ] = c ir c e o fM BC y c lic q u a d la te r a l A B C D c v a lu e o , su c h th a t D is e q u id is ta n t fr o m A B an d BC P u e s tio n 9 P ya n k a h a s she g e ts 1 5 5 5 0 acco u n v (b ) a r e c u r r in as g d e p o s it in te r e s t a t th e tim e o fm f 1 10 0 0 p e r a m on th a t 10 % h u ity , fin d th e to ta l tim e per an n u m fo r w If [3 ] h ic h th e t w a s h e ld ln a p @ r , m v is p a r r a lle l to A O R (iii) F in d T 18 5 1 1 a cco u n t o g , A a r e s im re a o qr d a i ila r f A 0 Aa V : A rea o fA o R g 5 T u rn O v er Scanned by Scanned by Scanned by

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