1993 JAMB UTME Mathematics Past Questions

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1993

If sin \(\theta\) = cos \(\theta\), find \(\theta\) between 0o and 360o

1993

The angle between latitudes 30oS and 13oN is

1993

Find the area of the sector of a circle with radius 3m, if the angle of the sector is 60o

1993

find the radius of a sphere whose surface area is 154cm2 (\(\pi = \frac{22}{7}\))

1993

The three sides of an isosceles triangle are length of lengths (x + 3), (2x + 3), (2x - 3) respectively. Calculate x.

1993

Calculate the length in cm. of the arc of a circle of diameter 8cm which subtends an angle of 22\(\frac{1}{2}\)o at the centre of the circle

1993

A regular polygon has 150o as the size of each interior angle. How many sides has the polygon?

1993

A man's initial salary is ₦540.00 a month and increases after each period of six months by ₦36.oo a month. Find his salary in the eighth month of the third year

1993

If k + 1; 2k - 1, 3k + 1 are three consecutive terms of a geometric progression, find the possible values of the common ratio

1993

A binary operation \(\ast\) is defined on a set of real numbers by x \(\ast\) y = xy for all real values of x and y. If x \(\ast\) 2 = x. Find the possible values of x

1993

If x is negative, what is the range of values of x within which \(\frac{x + 1}{3}\) > \(\frac{1}{X + 3}\)

1993

Solve the inequality y2 - 3y > 18

1993

Divide the expression x3 + 7x2 - x - 7 by -1 + x2

1993

If the function f is defined by f(x + 2) = 2x2 + 7x - 5, find f(-1)

1993

Solve the following equation (3x - 2)(5x - 4) = (3x - 2)2

1993

Solve the following simultaneous equation for x. x2 + y - 5 = 0, y - 7x + 3 = 0

1993

Evaluate (x + \(\frac{1}{x}\) + 1)2 - (x + \(\frac{1}{x}\) + 1)2

1993

Which of the following is a factor of 15 + 7x - 2x2

1993

Make x the subject of the relation \(\frac{1 + ax}{1 - ax}\) = \(\frac{p}{q}\)

1993

If \(\sqrt{x^2 + 9}\) = x + 1, solve for x

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1993 JAMB UTME Mathematics Past Questions

If sin \(\theta\) = cos \(\theta\), find \(\theta\) between 0o and 360o

The angle between latitudes 30oS and 13oN is

Find the area of the sector of a circle with radius 3m, if the angle of the sector is 60o

find the radius of a sphere whose surface area is 154cm2 (\(\pi = \frac{22}{7}\))

The three sides of an isosceles triangle are length of lengths (x + 3), (2x + 3), (2x - 3) respectively. Calculate x.

Calculate the length in cm. of the arc of a circle of diameter 8cm which subtends an angle of 22\(\frac{1}{2}\)o at the centre of the circle

A regular polygon has 150o as the size of each interior angle. How many sides has the polygon?

A man's initial salary is ₦540.00 a month and increases after each period of six months by ₦36.oo a month. Find his salary in the eighth month of the third year

If k + 1; 2k - 1, 3k + 1 are three consecutive terms of a geometric progression, find the possible values of the common ratio

A binary operation \(\ast\) is defined on a set of real numbers by x \(\ast\) y = xy for all real values of x and y. If x \(\ast\) 2 = x. Find the possible values of x

If x is negative, what is the range of values of x within which \(\frac{x + 1}{3}\) &gt; \(\frac{1}{X + 3}\)

Solve the inequality y2 - 3y &gt; 18

Divide the expression x3 + 7x2 - x - 7 by -1 + x2

If the function f is defined by f(x + 2) = 2x2 + 7x - 5, find f(-1)

Solve the following equation (3x - 2)(5x - 4) = (3x - 2)2

Solve the following simultaneous equation for x. x2 + y - 5 = 0, y - 7x + 3 = 0

Evaluate (x + \(\frac{1}{x}\) + 1)2 - (x + \(\frac{1}{x}\) + 1)2

Which of the following is a factor of 15 + 7x - 2x2

Make x the subject of the relation \(\frac{1 + ax}{1 - ax}\) = \(\frac{p}{q}\)

If \(\sqrt{x^2 + 9}\) = x + 1, solve for x

If x is negative, what is the range of values of x within which \(\frac{x + 1}{3}\) > \(\frac{1}{X + 3}\)

Solve the inequality y2 - 3y > 18