1999 - JAMB Mathematics Past Questions and Answers - page 2
11
The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers
A
p/2
B
3p/2
C
5p/2
D
3p
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12
A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation.
A
2/3
B
1/2
C
-1/2
D
-2/3
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13
Factorize completely X2+2XY+Y2+3X+3Y-18
A
(x+y+6)(x+y-3)
B
(x-y-6)(x-y+3)
C
(x-y+6)(x-y-3)
D
(x+y-6)(x+y+3)
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14
Three consecutive positive integers k, l and m are such that l2 = 3(k+m). Find the value of m
A
4
B
5
C
6
D
7
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15
Express \(\frac{1}{X^{3}-1}\) in partial fractions
A
1/3{(1/x-1)-(x-2/x2-x+1)}
B
1/3{(1/x-1)-(x+2/x2+x+1)}
C
1/3{(1/x-1)-(x-2/x2+x+1)}
D
1/3{(1/x-1)-(x-2/x2-x-1)}
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16
The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.
A
8/5
B
8/3
C
72/25
D
56/9
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17
Divide 4x3-3x+1 by 2x-1
A
2x2-x+1
B
2x2-x-1
C
2x2+x+1
D
2x2+x-1
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18
Find a positive value of ã if the coordinate of the centre of a circle X2+y2-2ãx+4y-ã = 0 is (ã,-2) and the radius is 4 units.
A
1
B
2
C
3
D
4
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19
A man 1.7m tall observes a bird on top of a tree at an angle of 300. if the distance between the man's head and the bird is 25m, what is the height of the tree?
A
26.7m
B
14.2m
C
\(1.7+(25\frac{\sqrt{3}}{3}m\)
D
\(1.7+(25\frac{\sqrt{2}}{2}m\)
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20
In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP.
A
4.8 units
B
7.2 units
C
8.0 units
D
18.0 units
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