JAMB Mathematics 2003 Past Questions

Question 0

Evaluate \(log_{\sqrt{2}}4+log_{\frac{1}{2}}16-log_{4}32\)

A.-5.5
B.-2.5
C.2.5
D.5.5
E.

Objective

Question 0

Simplify 213₄ x 23₄

A.10311₄
B.10321₄
C.12231₄
D.13211₄
E.

Objective

Question 0

In a class of 40 students, 32 offer mathematics, 24 offer Physics, and 4 offer neither Mathematics nor Physics. How many offer both Mat
ematics and Physics?

A.20
B.16
C.8
D.4
E.

Objective

Question 0

Find (\(\frac{1}{0.06} \div \frac{1}{0.042}\))^-1

A.1.43
B.1.53
C.3.14
D.4.42
E.

Objective

Question 0

A woman buys 270 oranges for N1800.00 and seels at 5 for N40.00. What is her profit?

A.N2,160.00
B.N1, 620.00
C.N630.00
D.N360.00
E.

Objective

Question 0

Simplify 1 - (7/3 x 5/4) + 2/5

A.-16/15
B.-79/60
C.-37/15
D.-151/60
E.

Objective

Question 0

Simplify (√98 -√50)/√32

A.3
B.1
C.1/2
D.1/4
E.

Objective

Question 0

A cinema halll contains a certain number of people. If 25/2% are children, 95/2% are men and 84 are women, find the number of men in the hall.

A.63
B.84
C.113
D.133
E.

Objective

Question 0

If \(\frac{9^{2x-1}}{27^{x+1}} = 1\)find the value of x.

A.8
B.5
C.3
D.2
E.

Objective

Question 0

The sum of four numbers is 1214₅. What is the average expressed in base five?

A.114
B.141
C.401
D.411
E.

Objective

Question 0

Given:
U = {Even numbers between 0 and 30}
P = {Multiples of 6 between 0 and 30}
Q = {Multiples of 4 between 0 and 30}
Find (P∪Q)^c

A.{2, 10, 14, 22, 26}
B.{0, 10, 14, 22, 26}
C.{2,4, 14, 18, 26}
D.{0, 2, 6, 22, 26}
E.

Objective

Question 0

x varies directly as the product of u and v and inversely as their sum. If x = 3 when u = 3 and v = 1, what is the value of x if u = 3 and v = 3?

A.3
B.4
C.6
D.9
E.

Objective

Question 0

Find the range of the value of x satisfying the inequalities 5 + x \(\leq\) 8 and 13 + x \(\geq\) 7

A.-3 \(\leq\) x \(\leq\) 3
B.3 \(\leq\) x \(\leq\) 6
C.-6 \(\leq\) x \(\leq\) 3
D.-6 \(\leq\) x \(\leq\) -3
E.

Objective

Question 0

The graph of the function y = x² + 4 and a straight line PQ are drawn to solve the equation x² - 3x + 2 = 0. What is the equation of PQ?

A.y = 3x - 2
B.y = 3x + 2
C.y = 3x - 4
D.y = 3x + 4
E.

Objective

Question 0

The length a person can jump is inversely proportional to his weight. If a 20 kg person can jump 1.5 m, find the constant of proportionality

A.60
B.30
C.20
D.15
E.

Objective

Question 0

Find the value of x and y respectively if 3x - 5y + 5 = 0 and 4x - 7y + 8 = 0

A.-5, -4
B.-4,. -5
C.4, 5
D.5, 4
E.

Objective

Question 0

Three consecutive terms of a geometric progression are given as n-2, n and n=3. Find the common ratio

A.1/4
B.1/2
C.2/3
D.3/2
E.

Objective

Question 0

Triangle OPQ above is the solution of the inequalities

A.x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0
B.y + x ≤ 0, y - x ≥ 0, x -1 ≥ 0
C.x - 1 ≤ 0, y - x ≥ o, y + x ≥ 0
D.x - 1 ≤ 0, y + x ≤ 0, y - x ≤ 0
E.

Objective

Question 0

Factorize completely 4abx - 2axy -12b²x + 6bxy

A.2x(a - 3b)(2b - y)
B.2x(3b - a)(2b - y)
C.2x(a - 3b)(y - 2b)
D.2x(2b - a)(3b - y)
E.

Objective

Question 0

The sum of the first n terms of an arithmetic progresssion is 252. If the first term is -16 and the last term is 72, find the number of terms in the series

A.6
B.7
C.8
D.9
E.

Objective

Question 0

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm², find the distance between the parallel sides

A.3 cm
B.4 cm
C.6 cm
D.7 cm
E.

Objective

Question 0

The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90^o is

A.a circle
B.a semicircle
C.an arc of a circle through X, Y
D.the perpendicular bisector of XY
E.

Objective

Question 0

Find the slope of the curve y = 2x²n+ 5x - 3 at (1, 4).

A.4
B.6
C.7
D.9
E.

Objective

Question 0

Evaluate \(\int^{2} _{3}(x^2 - 2x)dx\)

A.4
B.2
C.4/3
D.1/3
E.

Objective

Question 0

If y = 3 sin(-4x), dy/dx is

A.12x cos (4x)
B.-12x cos (-4x)
C.-12 cos (-4x)
D.12 sin (-4x)
E.

Objective

Question 0

Determine the maximum value of y = 3x² - x³

A.zero
B.2
C.4
D.6
E.

Objective

Question 0

BY how much is the mean of 30, 56, 31, 55, 43 and 44 less than the median?

A.0.75
B.0.50
C.0.33
D.0.17
E.

Objective

Question 0

The range of 4, 3, 11, 9, 6, 15, 19, 23, 27, 24,21 and 16 is

A.16
B.21
C.23
D.24
E.

Objective

Question 0

Find the mean of the distribution above

A.1
B.2
C.3
D.4
E.

Objective

Question 0

On the pie chart, there are four sectors of which three angles are 45^o, 90^o and 135^o. If the smallest sector represents N28.00, how much is the largest sector?

A.N96.00
B.N84.00
C.N48.00
D.N42.00
E.

Objective

Question 0

If ⁿP₃ - 6(ⁿC₄) = 0, find the value of n

A.5
B.6
C.7
D.8
E.

Objective

Question 0

Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women

A.3
B.6
C.18
D.24
E.

Objective

Question 0

A bag contains 5 blacks balls and 3 red balls. Two balls are picked at random without replacement. What is the probability that a black and red balls are picked?

A.15/28
B.13/28
C.5/14
D.3/14
E.

Objective

Question 0

The result of tossing a fair die 120 times is summarized above. Find the value of x

A.19
B.20
C.21
D.22
E.

Objective

Question 0

An aeroplane flies due north from airport P to Q and then flies due east R. If Q is equidistant from P and R, find the bearing of P and R

A.90^o
B.135^o
C.225^o
D.270^o
E.

Objective

Question 0

An arc of a circle subtends an angle of 30^o on the circumference of a circle of radius 21cm. Find the length of the arc.

A.11cm
B.22cm
C.44cm
D.66cm
E.

Objective

Question 0

Find the equation of the locus of a point P(x,y) which is equidistant from Q(0,0) and R(2,1).

A.4x + 2y = 5
B.4x - 2y = 5
C.2x + 2y = 5
D.2x + y = 5
E.

Objective

Question 0

In the diagram above, PQ is parallel to RS. What is the value of α + β + γ?

A.360^o
B.200^o
C.180^o
D.90^o
E.

Objective

Question 0

XYZ is a circle enter o and a radius 7cm. Find the area of the shaded region. θ = 45 x 2 = 90

A.84cm²
B.77cm²
C.38cm²
D.14cm²
E.

Objective

Question 0

In the diagram above, PQR is a straight line and PS is a tangent to the circle QRS with /PS/ = /SR/ and ∠SPR = 40^o. Find ∠PSQ

A.40^o
B.30^o
C.20^o
D.10^o
E.

Objective

Question 0

A triangle has vertices P(-1,6), Q(-3, -4) and R(1, -4).Find the midpoint of PQ and QR respectively.

A.(0,-2) and (-1, -4)
B.(-1,0) and (-1,-1)
C.(-2,1) and (0,1)
D.(-2,1) and (-1,-4)
E.

Objective

Question 0

The histogram above shows the ages of the victims of a pollution. How many people were involved in the pollution?

A.15
B.18
C.20
D.21
E.

Objective

Question 0

Triangle OPQ is the solution of the inequalities

A.x - 1 < 0, y + \(\geq\) 0, y - x \(\geq\) 0
B.x + 1 \(\leq\) 0, y + x \(\geq\) 0, y - x \(\leq\) 0
C.x - 1 \(\geq\) 0, y - x \(\geq\) 0, y + x \(\geq\) 0
D.y + x \(\geq\) 0, y - x \(\leq\) 0
E.

Objective

Question 0

In the diagram PQR is a straight line and PS is a tangent to the circle < QRS with |PS| = |SR| and < SPR = 40^o. Find PSQ

A.20^o
B.40^o
C.10^o
D.30^o
E.

Objective

Question 0

The histogram above shows the ages of victims of a pollution. How many people were involved in the pollution?

A.20
B.21
C.15
D.18
E.

Objective