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2015 - JAMB Mathematics Past Questions and Answers - page 3

21
Given that tan x = \(\frac{2}{3}\), where 0o d" x d" 90o, Find the value of 2sinx.
A
\(\frac{2\sqrt{13}}{13}\)
B
\(\frac{3\sqrt{13}}{13}\)
C
\(\frac{4\sqrt{13}}{13}\)
D
\(\frac{6\sqrt{13}}{13}\)
22
In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate
A
3%
B
1.0%
C
2.5%
D
5.40%
23
Simplify 1¼ ÷ (2 ÷ ¼ of 28)
A
1 \( \frac{3}{8}\)
B
2 \( \frac{3}{4}\)
C
4 \( \frac{3}{8}\)
D
3 \( \frac{1}{5}\)
24
Factorize x2 + 9x + 20
A
(x − 5) 2
B
(x + 5)(x + 4)
C
(x – 5)(x + 3)
D
(x + 3) 2
25
If three staff of ASono Limited agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received
A
N36,000
B
N44,000
C
N40,000
D
N15,000
26
X and Y are two sets such that nX = 15, nY = 12 and n{∩ Y} = 7. Find ∩{X ∪ Y}
A
21
B
225
C
15
D
20
27
Find the x and y intercepts of the graph of 3x - z \(\leq\) 9
A
(3, -9)
B
(-3, 9)
C
(-3, -9)
D
(-3, 0)
28
Simplify log101.5 + 3 log102 − log100.3
A
log104
B
log1040
C
log10-40
D
log104-
29
Find the total surface area of a cylinder of base radius 5cm and length 7cm ( π = 3.14)
A
17.8cm2
B
15.8cm2
C
75.4cm2
D
54.7cm2
30
If x + y = 90 simplify (sinx + siny)2−2sinxsiny
A
1
B
\( 0 \)
C
2
D
-1