(5x 7) is. 63(5x 7) 42(5x 7) 50(5x 7) BUSINESS MATHEMATICS (Three hours and a quarter)

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BUSINESS MATHEMATICS (Three hours ad a quarter) (The first 5 miutes of the examiatio are for readig the paper oly. Cadidate must NOT start writig durig this time).

All workig, icludig rough work, should be doe o the same sheet adjacet to the rest of the aswer. The iteded marks for the questios or parts of questios are give i brackets [ ].

1 BUSINESS MATHEMATICS (Three hours ad a quarter) (The first 5 miutes of the examiatio are for readig the paper oly. Cadidate must NOT start writig durig this time) Aswer Questio from Sectio A ad 0 questios from sectio B. All workig, icludig rough work, should be doe o the same sheet adjacet to the rest of the aswer. The iteded marks for the questios or parts of questios are give i brackets [ ]. Mathematical formulae are give at the ed of this questio paper. The use of calculator (fx-8 / fx-00) is oly allowed Sectio A [5 = 0 marks] Aswer ALL questios Directios: Read the followig questios carefully. For each questio, there are four alteratives, A, B, C ad D. Choose the correct alterative ad write it i your aswer sheet. Questio (i). The value of is A. C. 0 B. D. log (ii). The roots of the equatio x 6 are A. (4, 4) C. ( 4, 4) B. (, ) D. (, ) (iii). The value of rad is equal to A. 0 0 C B D. 0 0 (iv). The derivative of 0 (5x 7) is A. 6(5x 7) C. 4(5x 7) B. 70(5x 7) D. 50(5x 7) (v). The derivative of si( x ) is A. cos( x ) C. cos( x ) B. cos( x ) D. cos( x ) d (vi). The value of dx is A. C. 0 B. D. Motithag HSS/AE/XI/Busiess Mathematics/06 of 4

2 (vii). Which term of the series is? A. 6 C. B. 5 D. 0 (viii). The value of 0! is A. 0 C. Not defied B. (ix). The value of D. sec ta is A. C. 0 B. D. sec ta (x). dx is equal to A. C. x B. 0 D. xc (xi). The distace betwee two poits (7, ) ad (4, 5) is A. 4 uits C. 5 uits B. 6 uits D. 7 uits (xii). The slope ad y-itercept of the equatio y x 7 is A. ( B. (, 7) C. (, 7) D. ( (xiii). The remaider of x 5x 7 whe divided by A. 4 C. 8 B. 4 D. 8 (xiv). If 0 si(0 ) cos, the the value of x is 0 cos(0 ) is A. si C. si B. cos D. cos, 7), 7) (xv). A ati-derivative of csc x with respect to x is A. cot x c C. cot x c B. csc x c D. cot x c Motithag HSS/AE/XI/Busiess Mathematics/06 of 4

3 Sectio B [0 7 = 70 marks] Aswer ay 0 questios. All questios i this sectio have equal marks uless otherwise stated. You may roud-off the aswers to two decimal places. Questio (a). Fid the derivative of (b). If f ( x) ( x )( x ) y, fid x x f '() with respect to x Questio (a). Factorize x x 0 usig remaider theorem [] (b). Fid the sum of the term of ? Questio 4 (a). If (b). Compute Questio 5 (a). Evaluate x x 0, the fid the value of [] from the fuctios of 60 0 ad 45 0 ad be the roots of the equatio (b). Differetiate 0 si5 ( ) 4 x x dx by usig the substitutio method y x ta x with respect to x [] Questio 6 (a). Calculate the stadard deviatio for the followig distributio x: f: (b). Evaluate sec (x ) dx. [] Questio 7 (a). If cos, fid the value of ta 5si 0 (b). Fid the agle betwee the lies whose slopes are ad [] [] Questio 8 (a). Fid x if the slope of the lie joiig ( 8, ) ad (, x) is (b). Resolve ito partial fractio 7 5x (x)( x) 4 [] Questio (a). Fid ta, if si [] (b). Differetiate from first priciples y x with respect to x Motithag HSS/AE/XI/Busiess Mathematics/06 of 4

4 Questio 0 (a). Fid the iterquartile rage from the followig frequecy distributio Wages (Nu) No. of persos 4 (b). Evaluate si x cos xdx [] Questio (a). Fid the equatio of the lie through the poit (4, 5) ad parallel to the lie x 4y 5 0? [] (b). Fid the equatio of the lie which has the y-itercept equal to x 4y 0 4 ad is perpedicular to Questio (a). Evaluate usig the biomial theorem [] (b). Show that poit (, 4), (, ) ad (, 6) are colliear Questio x (a). Resolve ito partial fractio 4 x ( x ) (b). Fid the mode for the followig distributio of test scores obtaied by 4 studets i mathematics examiatio Marks No. of studets Questio 4 (a). Fid the area of the triagle whose vertices are (, ), (, 4) ad (5, 6) (b). Fid the slope of a lie perpedicular to the lie which passes through the poits (0, 8) ad ( 5, ) [] [] Motithag HSS/AE/XI/Busiess Mathematics/06 4 of 4

5 Mathematical formulae Algebra () () ( ) a b a b ab ( a b) a a b ab b () x a (4) x, x 0 x (5) t a ( ) d (6) t b b 4ac ar a( r ), where r r ar ( ), where r r (7) S a ( ) d (8) () S S Coordiate Geometry (). ( y y) m( x x) (). d ( x x ) ( y y ) (). m x mx m y m y ( xy, ), m m m m (4). Itercept Form: x y a b (5). Normal Form: xcos ysi (6). Agle betwee two lies: ab ab ta aa bb (7). Distace of a poit from a lie axby c d a b Statistics d (). Mea, X A i fu & X A h. f i (). Media, Q L c f fm f (). Mode, Z L f f f m x x (4). Stadard Deviatio, fu fu ad i f f Calculus (). y x, y ' x (). y cf ( x), y' cf '( x) (). d ( uv) u dv v du dx dx dx (4). d ( u v) du dv dx dx dx (5). du dv v u d u ( ) dx dx dx v v (6). dy dy du dx du dx x (7). x dx c, (8). f x ' ( ) f ( x) f ( x) dx, Trigoometry (). si cos (). (). sec ta csc cot (4). si( A si Acos B cos Asi B (5). cos( A cos Acos B si Asi B (6). ta A ta B ta( A ta Ata B C D C D (7). si Csi D si cos C D C D (8). si C si D cos cos C D C D (). cosc cos D cos cos C D D C (0). cosccos D si si (). si Acos B si( A si( A (). cos Asi B si( A si( A (). cos Acos B cos( A cos( A (4). si Asi B cos( A cos( A

MATHEMATICS (Three hours and a quarter)

MATHEMATICS (Three hours and a quarter) MATHEMATICS (Three hours ad a quarter) (The first fiftee miutes of the eamiatio are for readig the paper oly. Cadidates must NOT start writig durig this time.) Aswer Questio from Sectio A ad questios from