Neco Gce 2016 MatheMatics (Essay&Obj) Answers – Nov/Dec Expo

MATHS OBJ1EAACBAECBE

11CDABECBCCA

21AEDCBACEDE

31ADADCCDABD

41BCEBDCEABE

51DBAECBECBE

1a

(6y²)³ / 2 y^6

= 6³y^6 / 24y^6

=6³*y^6/24*y^6

= 216/24

=9

1b

Log10(2m² 5m-2)=1

2m² 5m-2=10

2m² 5m-2-10=0

2m² 5m-12=0

Using m=-b -√b²-4ac/2a

a=2

b=5

c=-12

m=-5 -√5²-4*2*(-12)/2*2

m=-5 -√2 96/4

m=-5 -√98/4

m=-5 -9.9/4

m=-5 9.9/4 or m=-5-9.9/4

M=1.225 or -3.725

==========

4b

3^3y 1 = 81^-y

3^3y= 3^-4y

3y 1=-4y

1=-4y-3y

1=-7y

Y= - 1/7

(2a) w*3√D W=k 3√D 10=k*3√27 10/3 =k*3/3 k=10/3 W=10/3*3√64 = 10/3*4*40/3=13 1/3


2b) X/2 y/6 = 2/3 L.C.M = 6 Rx y = 4 -----(1) X/3 - y/2 = 5/3 L.C.M = 6 2x - 3y = 10 -----(2) From eq (1) 3x y = 4 Y= 4 - 3x ------(3) Sub for y in eq (2) 2x - 3(4-3x) = 10 2x - 12 9x = 10 11x = 22 X=2 Sub for x in eq (3) Y = 4-3(1) Y = 4-3- Y = 1


 (5a) Red=4 Green = 6 Black= 10 Total=20 (i) p(Red) = 4/20 = 1/5 (ii) p(green)= 6/20 = 3/10 (iii) p (black)= 10/20= 1/2 (5b) ( X-1)(X-8) 12=0 X²-8x-X 8 12=0 X²-9x 20=0 X= -b √b²-4ai X= 9 /-√-9²-4×1×20÷ 2×1 X=9 /-√81-80÷2 X=9 /-√1÷2 X= 9 1/2 or 9-1/2 X= 10/2 or 8/2 X= 5 or 4



 (8a) 4a^2 b*3ab^-2/4a^3*


(3ab) =12 a^4 b^1/12a^4 b =6^-1/b^1 =b^-1-1 =b^2 6^-2 or 1/b^2


 8b) Let the pocket money be x 2x/5 = stationners X/4 = school levies X/6= food X-(2x/5 x/4 x/ 6) = 55 X-(24x 15x 10x)/ 60 = 55 X-49x/60 = 55 60 x X - 60 x 49x/60 = 55x60 60x - 49x = 3300 11x = 3300 11x/11 = 3300/11 X= #300 The pocket money is #300 8c) 16^x-4 = 64^x 4 2^4x- 16 = 2^6x 24/2^3x 2^4x-16= 2^6x 3x 2^4x-16 = 2^3x 24 4x- 16 = 16 24 4x-3x= 16 24 X= 40

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