JAMB Mathematics 2000 past questions

Find the principal which amounts to #5,000 at simple interest in 5 years at 2% per annum

Evaluate 21.05347 – 1.6324 x 0.43, to 3 decimal places.

Evaluate (0.14)2 x 0.275)/7(0.02) correct to 3 decimal places

Evaluate (2.813 x 10-3) x 1.063 5.637 x 10-2 reducing each number to two significant figures and leaving your answers in two significant figures.

Given that p = 1 + √2 and q = 1 - √2, evaluate (p2 – q2)/2pq

The 3rd term of an

Find the inverse of p under the binary operation * by p * q= p + q – pq, where p and q are real numbers and zero is the identity.

Find the values of t for which the determinant of the matrix (t -4 0 ) (-1 t+t 1 ) is zero ( 3 t-2)

If (x - 1), (x + 1) and (x - 2) are factors of the polynomial ax3 + bx2 + cx – 1, find a, b, c, respectively

Solve the inequality 2 – x > x2

If a and b are the roots of the equation 3x2 + 5x – 2 = 0, find the value of 1/α + 1/β

An equilateral triangle of side √3 cm is inscribed in a circle. Find the radius of the circle.

3y = 4x – 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K

E O N G H In the diagram above, EFGH is a circle center O. FH is a diameter and GE is a chord which meets FH at right angle at the point N. if NH = 8 cm and EG = 24 cm, calculate FH.

If P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

y= 16 x If the diagram above is the graph of y=x2, the shaded area is

Find the value of π(cos2θ – 1/sin2θ) dθ

If y = 2y cos 2x – sin 2x, find dy/dx when x = ë/4

If the volume of a hemisphere is increasing at a steady rate of 8 πm3s-1, at what rate is its radius changing when it is 6m?

The expression ax2 + bx + c equals 5 at x = 1. if its derivative is 2x + 1, what are the values of a, b, c, respectively?

X and Y are two events. The probability of X and Y is 0.7 and the probability of X is 0.4. If X and Y are independent, find the probability of Y.

In how many ways can the word MATHEMATICS be arranged?

If U = {x : x is an integer and {1 ≤ x ≤ 20} E1 = {x : x is a multiple of 3} E2 = {x : x is a multiple of 4} And an integer is picked at random from U, find the probability that it is not in E2

The variance of x, 2x, 3x 4x and 5x is

No . Of Pupils The table above shows the frequency distribution of the ages (in years) of pupils in a certain secondary school. What percentage of the total number of pupils is over 15 years but less than 21 years?