1988 JAMB UTME Mathematics Past Questions

1988

If 7 and 189 are the first and fourth terms of a geometric progression respectively find the sum for the firstthree terms of the progression

1988

Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X.

1988

In the figure, a solid consists of a hemisphere surmounted by a right circular cone, with radius 3.0cm and height 6.0cm. Find the volume of the solid

1988

In the figure, XR and YQ are tangents to the circle YZXP if ZXR = 45o and YZX = 55o, Find ZYQ

1988

In the figure, PS = RS = QS and QRS = 50o. Find QPR

1988

In the figure, STQ = SRP, PT = TQ = 6cm and QS = 5cm. Find SR

1988

In the figure, PS = 7cm and RY = 9cm. IF the area of parallelogram PQRS is 56cm2. Find the area of trapezium PQTS

1988

In the figure, PQ is a parallel to ST and QRS = 40\(^{\circ}\). Find the value of x.

1988

In the figure, PQRS is a circle. If chords QR and RS are equal, calculate the value of x.

1988

Simplify \(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)

1988

If two dice are thrown together, what is the probability of obtaining at least a score of 10?

1988

If x and y represent the mean and the median respectively of the following set of numbers 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, find the \(\frac{x}{y}\) correct to one decimal place

1988

PQR is a triangle in which PQ = 10cm and QPR = 60oS is a point equidistant from P and Q. Also S is a point equidistant from PQ and PR. If U is the foot of the perpendicular from S on PR, find the length SU in cm to one d…

1988

If a metal pipe 10cm long has an external diameter of 12cm and a thickness of 1cm find the volume of the metal used in making the pipe

1988

If cos2\(\theta\) + \(\frac{1}{8}\) = sin2\(\theta\), find tan\(\theta\)

1988

In triangle PQR, PQ = 1cm, QR = 2cm and PQR = 120o Find the longest side of the triangle

1988

If cos \(\theta\) = \(\frac{x}{y}\), find cosec\(\theta\)

1988

Simplify \(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\)

1988

Simplify \(\frac{1}{x^2 + 5x + 6}\) + \(\frac{1}{x^2 + 3x + 2}\)

1988

The solution of the quadratic equation px2 + qx + b = 0 is

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