➗ 2001

JAMB Mathematics 2001 past questions

26 questions from the 2001 JAMB UTME Mathematics paper. Free, with answers where available.

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Mathematics JAMB 2001 Q2 ✓ Answer: C
Simplify (√0.7 + √70)2
A
217.7
B
168.7
C
84.7
D
70.7
Mathematics JAMB 2001 Q3 ✓ Answer: D
Evaluate (0.21 x 0.072 x 0.0054)/ (0.006 x 1.68 x 0.063) correct to four significant figures.
A
0.1286
B
0.1285
C
0.01286
D
0.01285
Mathematics JAMB 2001 Q5 ✓ Answer: D
Simplify 52.4 – 5.7 – 3.45 – 1.75
A
42.2
B
42.1
C
41.5
D
41.4
Mathematics JAMB 2001 Q6 ✓ Answer: B
If y/2 = x, evaluate (x3/y3 + 1/2) + (1/2 – x2/y2)
A
5/16
B
5/8
C
5/4
D
5/2
Mathematics JAMB 2001 Q7 ✓ Answer: C
Simplify (3√64a3)-3
A
8a
B
4a
C
1/4a
D
1/4a
Mathematics JAMB 2001 Q7 ✓ Answer: C
O r R In the diagram below are two concentric circles of radii r and R respectively with centre O. if r = 2/5 R, express the area of the shaded portion in terms of π and R.
A
9/25πR2
B
5/9πR2
C
21/25πR2 D 21/23πR2
Mathematics JAMB 2001 Q8 ✓ Answer: D
Factorize 4x2 – 9y2 + 20x + 25
A
(2x – 3y)(2x + 3y)
B
(2x + 5)(2x – 9y + 5)
C
(2x – 3y + 5)(2x – 3y - 5)
D
(2x – 3y)(2x + 3y + 5)
Mathematics JAMB 2001 Q9 ✓ Answer: A
If tow graphs y = px2 and y = 2x2 – 1 intersect at x = 2, find the value of p in terms of q
A
(7 + q)/8
B
(8 – q)/2
C
(q – 8)/7
D
7 / (q –1)
Mathematics JAMB 2001 Q10 ✓ Answer: B
Solve the equations: m2 + n2 = 29;m + n = 7
A
(5, 2) and (5, 3)
B
(5, 3) and (3, 5)
C
(2, 3) and (3, 5)
D
(2, 5) and (5, 2)
Mathematics JAMB 2001 Q11 ✓ Answer: B
Divide a3x – 26a2x + 156ax – 216 by a2x – 24ax + 108 [PAGE 54]
A
ax – 18
B
ax – 6
C
ax – 2
D
ax + 2
Mathematics JAMB 2001 Q12 ✓ Answer: C
Find the integral values of x and y satisfying the inequality 3y + 5x £ 15, given that y > 0, y< 3 and x > 0.
A
(1, 1), (2, 1), (1, 3)
B
(1, 1), (1, 2), (1, 3)
C
(1, 1), (1, 2), (2, 1)
D
(1, 1), (3, 1), (2, 2)
Mathematics JAMB 2001 Q13 ✓ Answer: C
y+ x+ 2=0 2=0 y-x- -2 x P T S -1 -2 Triangle SPT is the solution of the linear inequalities
A
2y – x – 2 ≤ 0, y + 2x + 2 ≤ 0,≥0, x ≤ 0
B
2y – x – 2 ≤ 0, y + 2x + 2 ≤ 0, ≤ 0
C
2y – x – 2 ≤ 0, y + 2x + 2 ≤ 0, ≤ 0, x ≤ -1
D
-2y < x ≤ 2 ≤ 0, y + 2x + 2 ≤ 0, ≤ 0 14.. The sixth term of an arithmetic progression is half of its twelfth term. The first term is equal to
Mathematics JAMB 2001 Q18 ✓ Answer: B
Given that matrix k = (2, 1) the matrix (3, 4) k2 + k + 1, where I is the 2 x 2 identity matrix, is
A
(9, 8 )
B
(10, 7) (22, 23) (21, 24)
C
(7, 2)
D
(6, 3) (12, 21) (13, 20)
Mathematics JAMB 2001 Q25 ✓ Answer: B
The chord ST of a circle is equal to the radius, r of the circle. Find the length of arc ST.
A
πr/2
B
πr/3
C
πr/6
D
πr/12
Mathematics JAMB 2001 Q27 ✓ Answer: D
Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.
A
y = 4 + k
B
y = k – 4
C
y = k ± 4
D
y = 4 ± k
Mathematics JAMB 2001 Q29 ✓ Answer: B
P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius
A
3.5 units
B
6.5 units
C
7.0 units
D
13.0 units
Mathematics JAMB 2001 Q33 ✓ Answer: A
Differentiate (2x + 5)2(x - 4) with respect to x
A
(2x + 5)(6x - 11)
B
(2x + 5)(2x – 13)
C
4(2x + 5)(x - 4)
D
4(2x + 5)(4x - 3)
Mathematics JAMB 2001 Q36 ✓ Answer: A
Find the rate of change of the volume V of a sphere with respect to its radius r when r = 1
A
4π
B
8π
C
12π
D
24π
Mathematics JAMB 2001 Q37 ✓ Answer: A
Find the dimensions of the rectangle of greatest area which has a fixed perimeter p.
A
Square of sides p/4
B
Square of sides p/2
C
Square of sides p
D
Square of sides 2p
Mathematics JAMB 2001 Q38 ✓ Answer: C
Evaluate 2(2x - 3)2/3 dx
A
2x – 3 + k
B
2(2x - 3) + k
C
6/5(2x - 3)5/3 + k
D
3/5(2x - 3)5/3 + k
Mathematics JAMB 2001 Q39 ✓ Answer: D
Find the area bounded by the curves y = 4 – x2
A
101/3 sq. units
B
102/3 sq. units
C
201/3 sq. units
D
202/3 sq. units
Mathematics JAMB 2001 Q40 ✓ Answer: B
No . of cars 8 Yellow White Green Blue Black Red Color of cars The bar chart above shows different colours of cars passing a particular point of a certain street in two minutes. What fraction of the total number of cars is yellow?
A
4/15
B
1/5
C
3/25
D
2/25 No . of taxis 0.5 2.5 4.5 6.5 8.5 10.5 12.5 No . of passengers The histogram above shows the distribution of passengers in taxis of a certain motor park. How many taxis have more than 4 passenger?
Mathematics JAMB 2001 Q43 ✓ Answer: C
The mean score is
A
11.0
B
9.5
C
8.7
D
7.0
Mathematics JAMB 2001 Q46 ✓ Answer: A
Cumulative frequency P Q Q Q 5.5 10.5 15.5 20.5 25.5 30.5 Masses (Kg) [PAGE 56] The graph above shows the cumulative frequency of the distribution of masses of fertilizer for 48 workers in one institution. Which of the following gives the interquartile range?
A
Q3 – Q1
B
Q3 – Q2
C
Q2 – Q1
D
½ (Q3 – Q1)
Mathematics JAMB 2001 Q49 ✓ Answer: D
Colour Blue Black Yellow White Brown Blue Black Yellow White Brown 1 2 4 5 3 No . of beads The distribution of colors of beads in a bowl is given above. What is the probability that a bead selected at random will be blue or white?
A
1/15
B
1/3
C
2/5
D
7/15
Mathematics JAMB 2001 Q50 ✓ Answer: B
Teams P and Q are involved in a game of football. What is the probability that the game ends in a draw?
A
¼
B
1/3
C
½
D
2/3 Mathematics 2002