JAMB UTME - Mathematics - 1982

The diagram is the distance time graph of a vehicle. Find its average speed in kilometers per hour during the journey

A man bought wrist watch for N150 but was only able to sell it for N120. Find the loss per cent on the transaction

In the fiqure where PQRTU is a circle, ISTI = IRSI and angle TSR = 52^o. Find the angle marked m

Find \(\alpha\) and \(\beta\) such that x\(\frac{3}{8}\) x y\(\frac{-6}{7}\) x (\(\frac{y^{\frac{9}{7}}}{x^{\frac{45}{8}}}\))\(\frac{1}{9}\) = \(\frac{y^{\alpha}}{y^{\beta}}\)

Given that p:q = \(\frac{1}{3}\):\(\frac{1}{2}\) and q:r = \(\frac{2}{5}\), find p:r

Find the median of the set set of numbers 110, 116, 113, 119, 118, 127, 118, 117, 113

In the diagram, angle QPR = 90^o, angle PSR = 90^o and PR = 5 units. Find the length of QS.

The factors of 6x - 5 - x2 are

The graphical method of solving the equation x3 + 3x2 + 4x - 28 = 0 is by drawing the graphs of the curves

If sin \(\theta\) = \(\frac{m - n}{m + n}\); Find the value of 1 + tan2\(\theta\)

Seven years ago, the age of a father was three times that of his son, but in six years time the age of the son will be half that of his father, representing the present ages of the father and son by x and y, respectively, the two equations relating x and y are

If K is a constant, which of the following equations best describes the parabola?

If N560.70 is shared in the ratio 7 : 2 : 1, what is the smallest share?

Simplify 3 - 2 \(\div\) \(\frac{4}{5}\) + \(\frac{1}{2}\)

The solution of the quadratic equation bx2 + cx + a = 0 is given by

TP and TQ are tangents to a circle centre 0 and r is a point on the circumference of the circle as shown in the figure. If angle PTQ = 45^o, what is the magnitude of the angle PRO?

The quantity y is partly constant and partly varies inversely as the square of x. With P and Q as constants, a possible relationship between x and y is

Write the equation 2 log2x - x log2(1 + y) = 3 in a form not involving logarithms

Rationalize the expression \(\frac{1}{\sqrt{2} + \sqrt{5}}\)

In the figure, QRST is a rectangle; PT// QM, angle P = 60o. Find angle MUR

In a regular polygon of n sides, each interior angle is 144o. Find n

Solve for x, If \(\frac{\frac{2}{x}}{\frac{p^2 + p^2}{p^2 + p^2}}\) = m

PQRS is a parallelogram with area 50 square cm and the side PQ is 10cm long. T is a point on RS and TF is the altitude of the triangle TPQ. Find TF

The currency used in a country is called 'Matimalik'(M) and is of base seven. A lady in that country bought 4 bags of rice at M56 per bag and and 3 tins of milk at M4 per tin. What is the total cost of the item she bought?

Which of the following lines is not parallel to the line 3y + 2x + 7 = 0?

Express 130 kilometers per second in meters per hour

What is the least possible value of \(\frac{9}{1 + 2x^2}\) if 0 \(\geq\) x \(\geq\) 2?