JAMB Mathematics 2002 Past Questions

Without using tables, evaluate (343)^1/3 x (
0.14)^-1 x (25)^-1/2

In a school, 220 students offer Biology or Mathematics or both. 125 offer Biology and 110 mathematics. How many offer Biology but not Mathematics?

Simplify 52.4 - 5.7 - 3.45 - 1.75

Simplify (√0.7 + √70)²

Evaluate:
(0.21 x 0.072 x 0.00054) (0.006 x 1.68 x 0.063), correct to 4.s.f

A trader bought goats for N4000 each. He sold them for N180,000 at a loss of 25%. How many goats did he buy?

If dy/dx = 2x - 3 and y = 3 when x = 0, find y in terms of x.

Find the derivative of y = sin²(5x) with respect to x.

The slope of the tangent to the curve y = 3x² - 2x + 5 at the

point (1, 6) is

Evaluate ∫sin 3x dx

A circle with radius 5cm has its radius increasing at the rate of 0.2m/s. What will be the corresponding increase in the area?

If y = x² - (1/x). find dy/dx

Solve for x in the equation x³ - 5x² - x + 5 = 0

The time taken to do a piece of work is inversely proportional to the number of

men employed. if it takes 45 men to do a piece of work in 5 days, how long will

it take 25 men?

Find the range of values of x for which \(\frac{(x+2)}{4}-\frac{2x-3}{3}<4\)

Find the maximum value of y in the equation y = 1 - 2x - 3x²

If the 9th term of an A.P is five times the 5th term, find the relationship between a and d.

Make r subject of the formula given that \(\frac{x}{r+a}=\frac{a}{r}\)

The inverse function f(x) = 3x + 4 is

If -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7, find the value of c.

The ninary operation * is defined on the set of integers p and q by p*q = pq + p + q. Find 2 * (3 * 4).

The sum to infinity of the series: 1 + (1/3) + (1/9) + (1/27) + ... is

If x varies directly as √n and x = 9 when n = 9, find x when n = (17/9)

A chord of a circle subtends an angle of 12o degrees at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.

If tan θ = 4/3, calculate sin²θ - cos²θ.

Find the equation of the set of points which are equidistant from the parallel lines x = 1 and x = 7

A bucket is 12 cm in diameter at the top, 8 cm in diameterat the bottom and 4 cm deep. Calculate its volume.

The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?

Find the coordinates of the mid-point of x and y intercepts of the line 2y = 4x - 8

A hunter 1.6 m tall, views a bird on top of a tree at an angle of 45 degrees. if the distance between the hunter and the tree is 10.4 m, find the height of the tree.

A solid hemisphere has a radius of 7 cm. Find the total surface area.

Find the value of a if the line 2y - ax + 4 = 0 is perpendicular to the line y + (x/4) - 7 = 0

The locus of a point P which is equidistant from two given points S and T is

Find the mean of the data: 7, -3, 4, -2, 5, -9, 4, 8, -6, 12

The range of the data: k+2, k-3, k+4, k-2, k, k-5, k+3, k-1, and k+6 is

The probability of a student passing any exam is 2/3. If the student takes three exams, what is the probability that he will not pass any of them?

The acres for rice, pineapple, cassava, cocoa, and palm oil in a certain district are given respectively as 2, 5, 3, 11, and 9. What is the angle sector for cassava in a pie chart?

How many three-digit numbers can be formed from 32564 without repeating any of the digits?

The mean of a set of six numbers is 60. If the mean of the first five is 50, find the sixth number in the set.

Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8.

In the diagram above , XZ is the diameter of the circle XZW, with center O and radius 15/2 cm. If XY = 12 cm, find the area of the triangle XYZ

The venn diagram above shows the numbers 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?

In the diagram above, PST is a straight line, PQ = QS = RS. If ∠RST = 72^o, find x

In the diagram above are two concentric circles of radii r and R respectively with center O. If r = ²/₃R, express the area of the shaded portion in terms of π and R

In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.

The triangle PQR above is

No. of days	1	2	3	4	5	6
No. of students	20	x	50	40	2x	60

The distribution above shows the number of days a group of 260 students were absents from school in a particular term. How many students were absent for at least four days in the term

The venn diagram 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?

Using the graph find the values of p and q if px + qy \(\geq\) 4

The triangle POR is