➗ 2002

JAMB Mathematics 2002 past questions

23 questions from the 2002 JAMB UTME Mathematics paper. Free, with answers where available.

Practice with CBT mock → All Mathematics years
Mathematics JAMB 2002 Q10 ✓ Answer: B
X O Z Y In the diagram below, XZ is the diameter of the circle XYZW, with centre O and radius 15/2cm. If XY = 12cm, find the area of the triangle XYZ.
A
75cm2
B
54cm2
C
45cm2
D
27cm2
Mathematics JAMB 2002 Q11 ✓ Answer: D
Find the coordinate of the midpoint of x and y intercepts of the line 2y = 4x - 8
A
(-1, -2)
B
(1, 2)
C
(2, 0)
D
(1, -2)
Mathematics JAMB 2002 Q13 ✓ Answer: A
If tan q = 4/3, calculate sin2 θ - cos2 θ.
A
7/25
B
9/25
C
16/25 SD. 24/25 P
Mathematics JAMB 2002 Q15 ✓ Answer: D
The locus of a point P which is equidistant from two given points S and T is
A
a perpendicular to ST
B
a line parallel to ST
C
the angle bisector of PS and ST
D
the perpendicular bisector ST
Mathematics JAMB 2002 Q17 ✓ Answer: B
O R O P The angle PGR below is
A
a scalene triangle
B
an isosceles triangle
C
an equilateral triangle
D
an obtuse – angled triangle
Mathematics JAMB 2002 Q19 ✓ Answer: D
Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7
A
y = 4
B
y = 3
C
x = 3
D
x = 4
Mathematics JAMB 2002 Q20 ✓ Answer: B
3cm 23cm In the diagram below, a cylinder is surrounded by a hemispherical bowl. Calculate the volume of the solid.
A
216πcm3
B
198πcm3
C
180πcm3
D
162πcm3
Mathematics JAMB 2002 Q25 ✓ Answer: B
Music History U80 40 -x -x x The venn diagram below shows the number of students offering Music and History in a class of 80 students. If a student is picked at random from the class, what is the probability that he offers Music only?
A
0.13
B
0.25
C
0.38
D
0.50
Mathematics JAMB 2002 Q27 ✓ Answer: A
The probability of a student passing any examination is 2/3. if the student takes three examination, what is the probability that he will not pass any of them?
A
1/27
B
8/27
C
4/9
D
2/3
Mathematics JAMB 2002 Q30 ✓ Answer: C
Calculate the mean deviation of the set of numbers 7,3,14,9,7 and 8
A
21/2
B
21/3
C
21/6
D
11/6
Mathematics JAMB 2002 Q31 ✓ Answer: B
Find the maximum value of y in the equation y = 1 – 2x – 3x2
A
5/3
B
4/3
C
5/4
D
¾
Mathematics JAMB 2002 Q32 ✓ Answer: C
If the 9th term of an
A
P is five times the 5th term, find the relationship between a and d. [PAGE 58]
B
a + 3d = 0
C
3a + 5d = 0
D
2a + d = 0
Mathematics JAMB 2002 Q33 ✓ Answer: B
The time taken to do a piece of work is inversely proportional to the number of men employed. If it takes 45men to do a piece of work in 5 days, how long will take 25 men?
A
5 days
B
9 days
C
12 days
D
15 days
Mathematics JAMB 2002 Q37 ✓ Answer: B
Use the graph below to find the values of p and q if px + qy < 4 (0,2) (-4,0) x
A
p = 1, q = 2
B
p = 2, q = 1
C
p = -1, q = 2
D
p = 2, q = -1
Mathematics JAMB 2002 Q38 ✓ Answer: D
The inverse of the function f(x) = 3x + 4 is
A
1/3(x + 4)
B
1/4(x + 3)
C
1/5(x - 5)
D
1/3(x - 4)
Mathematics JAMB 2002 Q39 ✓ Answer: D
Solve for x in the equation x3 – 5x2 - x + 5 = 0
A
1, 1 or 5
B
–1, 1 or –5
C
1, 1 or –5
D
1, -1 or 5
Mathematics JAMB 2002 Q41 ✓ Answer: C
Find the range of values of x for which x + 2/4 – 2x – 3/3 <4
A
x > -3
B
x < 4
C
x > -6
D
x < 8
Mathematics JAMB 2002 Q43 ✓ Answer: A
The sum of infinity of the series 1 + 1/3 + 1/9 + 1/27 + ……………… is
A
3/2
B
5/2
C
10/3
D
11/3
Mathematics JAMB 2002 Q44 ✓ Answer: C
Make r the subject of the formula x/r + a = a/r
A
a/(x – a)
B
(a/x + a
C
a2/(x – a)
D
a2/(x + a)
Mathematics JAMB 2002 Q45 ✓ Answer: D
If y = x2 – 1/x, find dy/dx
A
2x + x2
B
2x – x2
C
2x – 1/x2
D
2x – 1/x2
Mathematics JAMB 2002 Q46 ✓ Answer: B
Evaluate sin3xdx
A
-2/3 cos 3x + c
B
–1/3 cos 3x + c
C
1/3 cos 3x + c
D
2/3 cos 3x + c
Mathematics JAMB 2002 Q48 ✓ Answer: B
If dy/dx = 2x – 3 and y = 3 when x = 0, find y in terms of x.
A
x2 – 3x
B
x2 – 3x + 3
C
2x2 – 3x
D
x2 – 3x – 3
Mathematics JAMB 2002 Q49 ✓ Answer: C
Find the derivative of y = sin2(5x) with respect to x
A
2 sin 5x cos 5x
B
5 sin 5x cos 5x
C
10 sin 5x cos 5x
D
15 sin 5x cos 5x