2017 WAEC GCE MATHEMATICS ANSWERS

1a)
√2=1414
=1+√72/√2
=1+√36*2/√2
=1+6√2/√2
=1+6*1.414/1.414
=6.7072
=6.71
================================
2a)
x/1+3/2x≥5/3x-7/6
L.C.M=6
6x+9x≥10x-7
15x-10x≥-7
5x/5≥-7/5
x≥-7/5
2b)
From fig QTSR
90 (degree) + 150 (degree) + 30 ( degree) + <QRS = 360
<QRS = 360 - (90+150+30)
<QRS = 360 - 270
<QRS = 90
/OQ/ = /OT/ = radius
<PQT= 90
(angle substended by a diameter)
================================
5)
Tabulate
X|0|1|2|3|4|5|
F|7|3|5|11|10|14|=59
Fx|0|3|10|33|40|70|=156
(a)mean(x)=Efx/Ef
=156/50=3.12
x=3
(b)Q3-Q1
Q3=3N/4=3*50/4=37.5
Q3=5
Q1=n/4=50/4=12.5
Q1=2
inter-quartile range=5-2=3
================================
6ai)
m=ns+pr/s+r
m(s+r)=ns+pr
ms+mr=ns+pr
mr-pr=ns-ms
r=ns-ms/m-p
r=s(n-m)/m-p
6aii)
r=2.5(10-15)/15-18
r=2.5(-5)/-3
r=-12.5/-3
r=4.17
================================

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