2013 - JAMB Mathematics Past Questions and Answers - page 4
((1 \leq x \leq 25)) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25}
Number N of x divisible by both 2 and 3 is 4.
n((\varepsilon)) = 25
= (\frac{N}{n(\varepsilon)})
= (\frac{4}{25})
Users' Answers & Commentsn(apples) = 9
n(bananas) = 9
n(oranges) = 9
n((\varepsilon)) = 24
Hence Prob(not apple, nor orange) = Prob(banana) = (\frac{8}{24}) = (\frac{1}{3})
Users' Answers & Comments
The graph crosses the x-axis at x = -1 and x = 2
Thus, x + 1 = 0 and x - 2 = 0
x2 - 2x + x - 2 = 0
x2 - x - 2 = 0
giving y = x2 - x - 2
Users' Answers & Comments
In the diagram above, < CDE = < CED = 15o
(base < s of isos. (\bigtriangleup))
< ECD = 180o - (15 + 15)o
= 180o - 30o = 150o
But x + 110o = 150o
(Sum of opp. interior < s of a(\bigtriangleup) = opp. exterior < )
x = 150o - 110o = 40o
Users' Answers & Comments

5xo + (16x - 24)o + 5xo + (4x + 12)o + (6x + 12)o = 360o
360xo - 24 + 12 + 12 = 360o
36xo = 360o
xo = (\frac{360^0}{36})
= 10o
Thus, the angle of sector representing Mathematics is 5 x 10o = 50o. Hence the number of students who offer mathematics is
(\frac{55^o}{36} \times 80 \approx 11)
Users' Answers & Comments