2002 JAMB UTME Mathematics Past Questions

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2002

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.

2002

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

2002

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

2002

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

2002

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

2002

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

2002

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

2002

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

2002

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

2002

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

2002

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?

2002

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

2002

If y = x2 - (1/x). find dy/dx

2002

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?

2002

Evaluate ∫sin 3x dx

2002

The slope of the tangent to the curve y = 3x2 - 2x + 5 at the point (1, 6) is

2002

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

2002

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

2002

The slope of the tangent to the curve \(y = 2x^2 - 2x + 5\) at the point \((2,9)\) is

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2002 JAMB UTME Mathematics Past Questions

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

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

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

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

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

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

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

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

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

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?

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

If y = x2 - (1/x). find dy/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?

Evaluate ∫sin 3x dx

The slope of the tangent to the curve y = 3x2 - 2x + 5 at the point (1, 6) is

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

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

The slope of the tangent to the curve \(y = 2x^2 - 2x + 5\) at the point \((2,9)\) is

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

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