JAMB Mathematics 2001 Past Questions

Evaluate 21.05347 - 1.6324 x 0.43 to 3 decimal places

Simplify \((\sqrt[3]{64a^{3}})^{-1}\)

Given that \(p = 1 + \sqrt{2}\hspace{1mm}and\hspace{1mm}q = 1 -\sqrt{2},\hspace{1mm}evaluate\hspace{1mm}\frac{(p^{2} - q^{2})}{2pq}\)

A car dealer bought a second-hand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?

If \(x = \frac{y}{2}\),evaluate\(\left(\frac{x^{3}}{y^{3}}+\frac{1}{2}\right) \div \left(\frac{1}{2} - \frac{x^{2}}{y^{2}}\right)\)

Find the principal which amounts to N5,500 at a simple interest in 5 years at 2% per annum.

Evaluate (0.14² x 0.275) 7(0.02) to 3 decimal places.

Divide: ax^3x - 26x^2x + 156a^x - 216 by a^2x - 24a^x + 108

If two graphs y = px² + q and y = 2x² -1 intersect at x = 2, find the value of p in terms q.

Find the integral values of x and y satisfying the inequality 3y + 5x \(\leq\) 15, given that y > 0, y < 3 and x > 0.

Solve the equations
m² + n² = 29
m + n = 7

An operation * is defined on the set of real numbers by a*b = a + b + 1. If the identity elements is -1, find the inverse of the element 2 under *.

The sixth term of an A.P is half of its twelfth term. The first term of the A.P is equal to

Factorize 4x² - 9y² + 20x + 25

a sector of a circle of radius 7.2cm which subtends an angle of 300° at the centre is used to form a cone. What is the radius of the base of the cone?

A point P moves such that it is equidistant from Points Q and R. Find QR when PR = 8cm and angle PRQ = 30°

A straight line makes an angle of 30° with the positive x-axis and cuts the y-axis at y = 5. Find the equation of the straight line.

Given an isosceles triangle with length of 2 equal sides t units and opposite side √3t units with angle θ. Find the value of the angle θ opposite to the √3t units.

Find the value of P if the line joining (P, 4) and (6, -2) is perpendicular to the line joining (2, P) and (-1, 3).

Find the number of sides of a regular polygon whose interior angle is twice the exterior angle.

P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.

The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q.

A cylindrical tank has a capacity of 3080 m³. What is the depth of the tank if the diameter of its base is 14 m?

(Take pi = 22/7)

Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.

The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST.

If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k.

Evaluate ∫2(2x-3)^2/3dx

Differentiate (2x+5)²(x-4) with respect to x.

Find the area bounded by the curves y = 4 - x² and y = 2x + 1

Find the rate of change of the volume, V of a sphere with respect to its radius, r when r = 1.

If y = x sinx, find dy/dx when x = π/2.

Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode.

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. Find the square of the mode.

Given the scores: 4, 7, 8, 11, 13, 8 with corresponding frequencies: 3, 5, 2, 7, 2, 1 respectively. The mean score is

Teams P and Q are involved in a game of football. What is the probability that the game ends in a draw?

If ⁶P_r = 6, find the value of ⁶P_r+1

Given distribution of color beads: blue, black, yellow, white and brown with frequencies 1, 2, 3, 4, and 5 respectively. Find the probability that a bead picked at random will be blue or white.

Find the variance of 2, 6, 8, 6 2, and 6.

Find the number of ways of selecting 8 subjects from 12 subjects for an examination.

Find the range of these fractions:
1/6, 1/3, 3/2, 2/3, 8/9 and 4/3.

Find the square pf the mode

The mean score is

Team P and Q are involved in a game of football.What is the probability that the game ends in a draw?

The distribution of colours of beads in a bowl is given above. What is the probability that a bead selected at random will be blue or white?

Find the variance of 2, 6, 8, 6, 2 and 6

Find the number of ways of selecting 8 subjects from 12 subjects for an examination

Find the range of 1/6, 1/3, 3/2, 2/3, 8/9 and 4/3

Triangle SPT is the solution of the linear inequalities

⊗	k	l	m
k	l	m	k
l	m	k	l
m	k	l	m

The identity element with respect to the multiplication shown in the table above is