WAEC 2017 FURHTER MATHS Answer Now Available -MAY/JUNE

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/ means DIVISION.
* means Multiplication.
^ means Raise to power.
sqrt means square root sign
rais means Raise to Power

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NIGERIA ANSWERS
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FURTHER MATHS OBJ

1-10. CBADCBADBB

11-20.DCBDCCDBCC

21-30. ACDCAABBCB

31-40. CDCDDBCAAD


1a)
g(x)=y
y=x+6
x=y-6
g^- f(x-6)
=4-5(x-6)/2=4-5x+30/2
=34-5x/2

1b)
coodinate=(x1+x2/2 ,y1+y2/2)
=(7-2/2,7-5/2)=(5/2,2/2)
=(5/2,1)
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14ai)
SKETCH THE DIAGRAM

14aii)
Using lami’s theory
T1/sin60=T2/sin30
48N/sin60=T2/sin30
48N/0.8660=T2/0.5
0.5(48)/0.8660=T2(0.8660)/0.8660
T2=24/0.8660
T2=27.7N

14b)
Using the equation of motion
H=U^2/2g
H=(20)^2/2*10
=20*20/20
H=20m
Timetaken to reach the maximum height
S=Ut+1/2at^2
20=0+1/2(100)t^2
20/5=5t^2/5
t^2=4
t=sqroot4
t=2S
================

10a)
i) (x^2-1) (x+2)=0
(x-1) (x+1) (x+2)
x=1, or -1 or -2
ii) 2x-3/(x-1)(x+1)(+2)
=A/x-1+B/x+1+C/x+2
2x-3=A(x+1)(x+2)+B(x-1)(x+2)
+C(x-1)(x+1)
let x+1=0,x=-1
2(-1)-3=B(-1-1)(-1+2)
-5/2=-2B/-2 B=5/2
let x-1 =0 x=1
2(1)-3=A(1+1)(1+2)
-1=CA, A=-1/6
Let x+2=0 x=-2
2(-2)-3=C(-2-1)(-2+1)
-7=3C, C=-7/3

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11a)
Given:
f(x)={(4x-x^2)dx
f(x)=2x^2 – x^3/3 + K
f(3)=2(3)^2 – (3)^2/3 + K =21
18 – 9 + K=11
9+K=21
K=21-9
K=12
Therefore
f(x)= -x^3 + 2x^2 + 12
========
12)
P:F=4:1 =4x+1x=100
5x=100
x=100/5
x=20
pass=20*4=80%
fail= 20*1=20%
p(pass)=80/100=0.8
p(fail)=20/100=0.2
n=7

12ai)
P(at least 3passed)
P=0.8
Q=0.2
P(x=r)=n(rP^rq^n-r
P(x>/3)=1-P(x<2)
P(x<2)=P(x=0)+P(x=1)+P(x=2)
P(x=0)=7dgree (0.8)degree (0.2)^7
P(x=0)=0.0000128
P(x=1)=^7( (0.8)^1 (0.2)^6
=0.0003584
P(x<2)=7^C2 (0.8)^2 (0.2)^5
=0.0043008
P(X<2)=0.0000128+0.0003584+0.0043008 =0.004672 P(x>3)=1-0.004672
=0.995321
=0.10(2d.p)

12aii)
P(between 3 and 6 failed)
P=0.2
q=0.8
P(36)
P(x=3) + P (x=4)+p(x=5)+P(x=6)
p(x=3) 7^C3 (0.2)^3 (0.8)^4
=0.114688
p(x=4)=7^C4 (0.2)^4 (0.8)^3
0.028672
P(x=5)=7^C5 (0.2)^5 (0.8)^2
=0.0043008
P(x=6)=7^C6 (0.2)^6 (0.8)^1
=0.0003584
p(36)
=0.114688+0.028672+0.0043008
+0.0003584
=0.1480192
=0.15(2d.p)

12b)
n=5
P(sin) =1/6-p
p(x=3)=5^C3 (1/6)^3 (5/6)^2
=10*1/216*25/36
=250/216*36
=41.6
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GHANA ANSWERS
2)
x+1/3x^2-x-2
3x^2-x-2/-6(-3 2)
3x^2-3x+2x-2
3x(x-1)+2(x-1)
(3x+2)(x-1)
x+1/(3x+2)(x-1)=A/3x+2+B/x-1
x+1/(3x+2)(x-1)=A(x-1)+B(3x+2)/(3x+2)(x-1)
x+1=A(x-1)+B(3x+2)
3x+2=0
x=-2/3

=================
8a)
60,56,70,63,50,72,65,60
mean=£x/n=60 + 56 + 70 + 63 + 50 + 72 + 65 + 60/8
mean=62

8b)
variance=£(x-x^-)^2/n
=(62-60)^2 + (62-56)^2 + (62-70)^2 + (62-63)^2 + (62-50)^2 + (62-72)^2 + (62-63)^2 + (62-60)^2/8
=362/8=45.25
SD=sqr variane =sqr45.25=6.73

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