2011 - WAEC Mathematics Past Questions and Answers - page 4
volume of rectangular container = L x B x H
1 litre = 1000cm3
96 litres = (\frac{1000cm^3}{1 litres}) x 96 litres
volume = 96000cm3
96000 = 220 x 40 x 11
96--- = 8800H
H = (\frac{96000}{8800})
= 10.97cm
= 11cm
volume of rectangular container = L x B x H
1 litre = 1000cm3
96 litres = (\frac{1000cm^3}{1 litres}) x 96 litres
volume = 96000cm3
96000 = 220 x 40 x 11
96--- = 8800H
H = (\frac{96000}{8800})
= 10.97cm
= 11cm
let the number of question = n
n(n + 50) = 600
n2 + 50n - 600 - 0 by quadratic formular
x = (\frac{b \pm \sqrt{b^2 - 4ac}}{2})
n = (\frac{-50 \pm \sqrt{50^2 - 4(1) (-600)}}{2(1)})
= (\frac{-50 \pm \sqrt{4900}}{2})
= (\frac{-50 + 70}{2})
= (\frac{20}{2})
= 10
tan (\theta) = (\frac{9}{50}) = 0.18
(\theta = tan^{-1} 0.18)
(\theta) = 10.20
< Q = (\frac{240}{2}) (angle at centre twice that at the circumference)
< Q = 120o
Also < POR = 360 - 240
= 120o
( < s at centre) since /PQ/ = /QR/, < x = < R
Byt < x + < R + O + Q = 360 (sum of interior < s of quadrilateral)
x + R + 120 = 360o
x + R = 360 - 240 = 120; Since x = R
x + x = 120
2x = 120
Since x = R
x + x = 120
2x = 120
x = (\frac{120}{2})
= 60o
x + 52o = 90
x = 90 - 52
x = 38o
k = opposite angle Z
k = 38o
y + k = 90o
y + 38o = 90o
y = 90o - 38o
y = 52o
y = x = 180o(sum of angles on straight line)
52 + x = 180o
x = 180 - 52
x = 128