Thursday, 21 April 2016

Mathematics waec 2016

FREE WAEC Mathematics Theory And Objective ANSWERS Apirl 21 2016
Mathematics Theory And Obj 
Welcome V.I.P For Mathematics
Please For God's Sake Study The Symbols Very Well Any Copy In The wrong way You Are On Your Own Any ExamscampuS Staff Won't Bear For it Since Our Answers Are Verified
Please Scroll Down To check New Answers Cox We Have Updated them 6,11,13,9
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COMPLETE MATHS OBJ:
1-10: BACBCCCBCD
11-20: CBBACACBBC
21-30: BBCCDACDCD
31-40: ACAABADAAA
41-50: DAABADCBAD.
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===============Theory===============
2)
ii Area if cross-section
=Area of rectangle PQRU-Area of semi-circle
=(PUxPQ) - pie ITSI/4
=(4x11)-22/7x7/4
=44-22/4
=44-5.5
=38.5m^2
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3a)
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(3b)
h=7cm
T=462cm^2
T=pie sqr + 2 pie rH
462= pie( r ^2 +2*7*r)
462/3.142
=r sqr= =14r
r sqr+ 14r=147
r sqr +14r- 147=0
r= 14+-( (sqr(14))-4*1*147)/2*1
r=-(14 +-(196-4))/2
r=(-14+_12)/2
r=(-14+12)/2 or
r=2/2
=1cm
4a)
Pr(3)=x/total
total=25+30+x+28+40+32
=155+x
0.225=x/155+ x
=34.875+0.225x=x
x-0.225x=34.875
=0.775x=34.875 degree
x=34.875/0.775
=45
(4b)
Pr(even)=30+28+40+32
=90
Pr(even)=90/200=9/20
Pr(prime no)=25=30+45+40
=140
Pr(prime no)=140/200=14/20
Pr(even or prime)=9/20 + 14/20
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5a)
Area of triangle=1/2bh where h=6
:. 1/2*6/1*b/1=36
6b/2=36/1
6b=72
B=72/6
Base of angle PSR=12cm
Since |TS| //PQ
QR=PR-PQ
QR=12-8
QR=4cm
5b)
Draw d triangle
From angle ABC, to get |BC|
Tan60/1=10cm/|BC|
|BC|=10.65/tan60
|BC|=10.65/1.7321
=6.1486 =6.15m
Hence |BC|=|DE|
From angle AED, to get |AE|
Draw d diagram
|AB|=6.15tan45
6.15*1
=6.15m
There4, th height of the tree =10.65-6.15
=4.50m
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11a)
3p+4q/3p-4q* 2/1 find p:q
1(rp+4q)= 2(3p-4q)
3p+4q=6p-8q
Collect like terms
3p-6p=-8q-4q
-3p=-12q
Ther4 p:q = -3p/-3=-12q/-3
P=4q, p=4, q=1
P:q= 4:1
11b)
Ts=pq-(2+2)
Ts=pq-4
Circumference of Ts= 2pie(TS)
11bi.
Ts=pq-(2+2)
Ts=pq-4
Circumference of Ts= 2pie(TS)
=2pie(pq-4)
Perimeter=pq+4+4+2+2+2pie(pq-4)
34=pq+12+2pie(pq-4)
34-12=pq+2piePQ-8pie
22=PQ(1+2pie)-8pie
22=pq(1(2*22/7)-8*22/7
22=pq(1+44/7)-176/7
22=PQ(7+44/7)-176/7
22+176/7 =pq(51/7)
154+176/7=Pq(51/7)
330/7=pq(51/7)
330/51=pq
Pq=6.4706
11bii.)
TS=PQ-4=6.4706-4=2.4706m
Area of semi circle TS=pieD
=7.7626m^2
Area of rectangle PqRU=|pu|*|Pq|
4**6.4706=25.8824
Area of the cross section=area of rectangle-area of
semi circle
=25.8824-7.7626
=18.1198m^2
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8a)
2x = r = y
if =180 - 110 + Y = 70 + Y
nOW : X + r + 70 + y = 180
2x = r + - y
if 2x = r
x = r/2 =y
:x + 2x + 70 + 2x = 180
5x = 180 -70 = 110
x = 110/5 = 22degree
No9)
CLICK HERE
x 62 63 64 65 66 67 68
tally 1 iiiii iiiii iiiii ii iiii iiii iiii iiiii iiiii iiiii i ii
freq 1 5 12 14 10 6 2 total = 50
fx 62 315 768 910 660 402 136 tot = 3253
x-x- -3.06 -2.06 -1.06 0.06 0.94 1.94 2.94
(x-x-) 9.3636 4.2436 1.1236 0.0036 0.8836 3.7636 8.6436
f(x-x)2 9.3636 21.218 13.4832 0.0504 8.836 22.5816
17.2872 tot = 92.82
bi) mean = EFX/EF = 3253/50 =65.06
bii) Standard deviation = Square root of EF(x-x)2/Ef
= Square root of 92.82/50
= square root of 1.8564
= 1.36
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(4a & b)
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(7a &B)
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7a)
x-2/4 :x+2/2x
Cross multiply
2x(x-2)=4(x+2)
Opening the bracket
2x^2-4x = 4x+8
Collect like terms together
2x^2-4x-4x-8=0
2x^2-8x-8=0
Solving with completing the square method
2x^2-8x=8
Divide through with the coefficient of x^2
2x^2/2-8x/2=8/2
X^2-4x=4
Half of coefficient of x
(-4 x 1/2)^2 = (-2)^2
X^2-4x+(-2)^2=4+(-2)^2
X^2-4x+(-2)^2=4+4
(x-2)^2=8
X-2:square root 8
X=2 + or - squar root 8
X=2+ square root 8 or x=2- square root 8
X=2+2.828=4.828
X=2-2.828= -0.828
X=4:83 or - 0.83.
(7B)
=4.83 or _0.83 ( correct to 2 d.p)
7b)
But
13a)
(x1,y1) =(2,-3)
for 2x + y =6
y=-2x +6
compare y = mx +6
m2 = -2
for parallel lines, m1=m2
: y-y1/x-x1 = m
y--3/x-2 =-2/1
y + 3 = -2(x -2)
y + 3 = -2x + 4
y = -2x + 4 -3
y = -2x +1
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6a)
Sn=n/2(2a+(n-1)d)
A=1, d=2, n=n
Sn=n/2(2*1+(n-1)2)
N/2(2+2,-2)
=n/2*2=n^2
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(No.6b)
CLICK HERE 
/ means DIVISION
* means Multiplication
tita You Should Know that.
rais means Raise to power or
^ means Raise to power
sqr rut/square rut means Square root
—–(1) means Equation 1
yr means Year
f(x-xbar) means x MINUS x BAR as in statistics which means
that MINUS will be on Top of x.
, (Comma) means NEXT LINE,
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