1981 JAMB UTME Mathematics Past Questions

1981

In the figure, WU//YZ, WY//YZ = 12cm, VZ = 6cm, XU = 8cm. Determine the length of WU.

1981

In the diagram, XZ is the diameter of a circle's radius \(\frac{5}{2}\). If XY is 4cm, then the area of the triangle XYZ is

1981

In the figure, find x in terms of a, b and c.

1981

In the figure, find the area of XYZW.

1981

In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40\(^{\circ}\) and YTW = 30\(^{\circ}\). What is YXW?

1981

What is the length of an arc of a circle that substends 2\(\frac{1}{2}\) radians at the centre when the raduis of the circle = \(\frac{k}{k + 1}\) + \(\frac{k + 1}{k}\) then

1981

Solve the given equation (log3x)2 - 6 log3x + 9 = 0

1981

What is the size of an exterior angle of a regular pentagon?

1981

The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) greater by

1981

A banking recipe calls for 2.5kg of sugar and 4.5kg of flour. With this recipe some cakes were baked Using 24.5kg of a mixture of sugar and flour. How much sugar was used?

1981

Multiply x2 + x + 1 by x2 - x + 1

1981

If b = a + cp and r = ab + \(\frac{1}{2}\)cp2, express b2 in terms of a, c, r.

1981

Simplify T = \(\frac{4R_2}{R_1^{-1} + R_2^{-1} + 4R_3^{-1}}\)

1981

The first term of an Arithmetic progression is 3 and the fifth term is 9. Find the number of terms in the progression if the sum is 81

1981

Show that \(\frac{\sin 2x}{1 + \cos x}\) + \(\frac{sin2}{1 - cos x}\) is

1981

The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm2, then the radius of the ball is

1981

The difference between the length and width of a rectangle is 6cm and the area is 135cm2. What is the length?

1981

The positive root of t in the following equation, 4t2 + 7t - 1\(\pi\) = 0, correct to 4 places of decimal, is

1981

Evaluate \(\frac{6.3 \times 10^5}{81 \times 10^3}\) to 3 significant fiqures

1981

The number 25 when when converted from the tens and units base to the binary base (base two) is one of the following

1 2 3