1995 - JAMB Mathematics Past Questions and Answers - page 5
41
A die has four of it's faces coloured white and the remaining two coloured black. What is the probability that when the die is thrown two consecutive time, the top face will be white in both cases?
A
\(\frac{2}{3}\)
B
\(\frac{1}{9}\)
C
\(\frac{4}{9}\)
D
\(\frac{1}{36}\)
correct option: c
\(\begin{array}{c|c} & W & W & W & W & B & B \ \hline W & WW & WW & WW & WW & WB & WB \ W & WW & WW & WW & WW & WB & WB\W & WW & WW & WW & WW & WB & WB\ B & BW & BW & BW & BW & BB & BB \ B & BW & BW & BW & BW & BB & BB\end{array}\)
P(WW) = \(\frac{16}{36}\)
= \(\frac{4}{9}\)
Users' Answers & CommentsP(WW) = \(\frac{16}{36}\)
= \(\frac{4}{9}\)
42
A
-1 \(\geq\) x \(\geq\) 1, x \(\geq\) 2
B
x \(\leq\) -1, 1 \(\geq\) x \(\geq\) 2
C
x \(\geq\) -1, 1 \(\geq\) x \(\geq\) 2
D
x \(\geq\) 2, -1 \(\geq\) x \(\geq\) 1
correct option: b
-1 \(\geq\) x \(\geq\) 1, 1 < x \(\geq\) 2
Combining solutions
= x \(\leq\) 1; 1 \(\geq\) x \(\geq\) 2
Users' Answers & CommentsCombining solutions
= x \(\leq\) 1; 1 \(\geq\) x \(\geq\) 2
44
A
50o
B
65o
C
85o
D
130o
45
A
836cm2
B
308cm2
C
528cm2
D
154cm2
correct option: a
Area(S) = 2\(\pi r^2 + 2 \pi rh = 2\pi r(h + r)\)
D = 14cm, 2r = D
r = \(\frac{D}{2}\)
= 7cm
S = 2 x \(\frac{22}{7} \times [7 + 12] = 44 \times 19\)
= 836cm2
Users' Answers & CommentsD = 14cm, 2r = D
r = \(\frac{D}{2}\)
= 7cm
S = 2 x \(\frac{22}{7} \times [7 + 12] = 44 \times 19\)
= 836cm2
46
A
7cm
B
10cm
C
14cm
D
17cm
47
A
1.11
B
1.65
C
1.85
D
2.45