➗ 1999

JAMB Mathematics 1999 past questions

20 questions from the 1999 JAMB UTME Mathematics paper. Free, with answers where available.

Practice with CBT mock → All Mathematics years
Mathematics JAMB 1999 Q2 ✓ Answer: B
If the population of a town was 240000 in January 1998 and it increased by 2% each year, what would be the population of the town in January 2000?
A
480 000
B
249 696
C
249 600
D
244 800
Mathematics JAMB 1999 Q12 ✓ Answer: D
The first term of a geometrical progression is twice its common ratio. Find the sum of the first two terms of the progression if its sum to infinity is 8
A
8/5
B
8/3
C
72/25
D
56/9
Mathematics JAMB 1999 Q13 ✓ Answer: B
Tope bought x oranges at #5.00 each and some mangoes at #4.00 each. If she bought twice as many mangoes as oranges and spent at least #and at most #, find the range of the value of x
A
4 ≤ x ≤ 5
B
5 ≤ x ≤ 8
C
5 ≤ x ≤ 10
D
8 ≤ x ≤ 10
Mathematics JAMB 1999 Q15 ✓ Answer: B
Find the matrix T if ST = I where S = (-1, 1) (1, -2) and I is the identity matrix.
A
(-2, 1)
B
(-2, -1) (-1, 1) (-1, -1)
C
(-1, -1)
D
(-1, -1) (01, -1) (0, 1)
Mathematics JAMB 1999 Q16 ✓ Answer: C
Divide 4x3 – 3x + 1 by 2x - 1
A
2x2 – x + 1
B
2x2 – x – 1
C
2x2 + x + 1
D
2x2 + x - 1
Mathematics JAMB 1999 Q18 ✓ Answer: C
x O -1 The shaded portion in the graph above is represented by
A
y + x – x3 0, y – x £ 0
B
y - + x 3 ³ 0, y – x £ 0
C
y + x – x3 £ 0, y + x ³ 0
D
y – x + x3 £ 0, y + x £ 0
Mathematics JAMB 1999 Q19 ✓ Answer: A
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)
Mathematics JAMB 1999 Q20 ✓ Answer: B
The sum of two members 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
Mathematics JAMB 1999 Q22 ✓ Answer: A
In MNO, MN = 6 units, MO = 4 units and NO – 12 units. If the bisector of angle M meets NO at P, calculate NP.
A
4.8 units
B
7.2 units
C
8.0 units
D
18.0 units
Mathematics JAMB 1999 Q23 ✓ Answer: D
Find the equation of the locus of a point P(x, y ) such that PV = PW, where V = (1, 1) and W = (3, 5)
A
2x + 2y = 9
B
2x + 3y = 8
C
2x + y = 9
D
x + 2y = 8
Mathematics JAMB 1999 Q24 ✓ Answer: A
3 cm 4 cm 6 cm Find the value of l in the frustum above.
A
5cm
B
6cm
C
7cm
D
8cm X
Mathematics JAMB 1999 Q25 ✓ Answer: C
2m 120cm Y Y Z 1cm Find the length XZ in the triangle above
A
√7m
B
√6m
C
√5m
D
√3m
Mathematics JAMB 1999 Q29 ✓ Answer: C
Find the tangent of the acute angle between the lines 2x + y =3 and 3x – 2y = 5
A
-7/4
B
7/8
C
7/4
D
7/2
Mathematics JAMB 1999 Q30 ✓ Answer: C
From the Point P, the bearings of two points Q and R are N670W and N230E respectively. If the bearing of R from Q is N680E and PQ = 150m, calculate PR.
A
120m
B
140m
C
150m
D
160m
Mathematics JAMB 1999 Q36 ✓ Answer: A
Find the area bounded by the curve y = x(2 - x), the x-axis, x = 0 and x = 2
A
4 sq units
B
2sq units
C
11/2 sq units
D
1/3 sq units
Mathematics JAMB 1999 Q37 ✓ Answer: D
If y = 3x2 (x3 + 1)1/2find dy/dx
A
6x(x3+1) + 3x2/2(x3+1)1/2
B
12x(x3+1) + 3x2/2(x3+1)1/2 C.(15x4 + 6x)/6x2(x3+1)1/2
D
12x(x3+1) + 9x4/2(x3+1)1/2
Mathematics JAMB 1999 Q38 ✓ Answer: B
Find the volume of solid generated when the area enclosed by y = 0, y = 2x and 3 is rotated about the x – axis.
A
81π cubic units
B
36π cubic units
C
18π cubic units
D
9π cubic units [PAGE 50]
Mathematics JAMB 1999 Q39 ✓ Answer: C
What is the derivative of t2sin (3t - 5) with respects to the variable?
A
6t cos (3t - 5)
B
2dt sin (3t - 5) – 3t2 cos (3t - 5)
C
2t sin (3t - 5) + 3t2 cos (3t - 5)
D
2t sin (3t - 5) + t2 cos 3t
Mathematics JAMB 1999 Q40 ✓ Answer: C
Find the value of x for which the function y = x3 – x has a minimum value.
A
-√3
B
-√3/2
C
√3/3
D
√3
Mathematics JAMB 1999 Q41 ✓ Answer: C
Three boys play a game a luck in which their respective chances of wining are ½, 1/3 and ¼. What is the probability that one and only of the boys wins the game?
A
1/24
B
1/12
C
11/24
D
23/24