JAMB UTME - Mathematics - 1980
Ibeere 1 Ìròyìn
Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables.
Awọn alaye Idahun
Ibeere 2 Ìròyìn
In the figure, FGHJ is a circle of radius 3cm centre O. FOH, GOJ are perpendicular diameters. With G as centre of an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded.
Awọn alaye Idahun
Ibeere 3 Ìròyìn
Find the missing numerator \(\frac{5}{x + 1}\) - \(\frac{3}{1 - x}\) - \(\frac{7x - 1}{x^2 - 1}\) = \(\frac{?}{x + 1}\).
Awọn alaye Idahun
Ibeere 4 Ìròyìn
What will be the value of k so that the quadratic equation kx2 - 4x + 1 = 0 has two equal roots?
Awọn alaye Idahun
Ibeere 5 Ìròyìn
Write down the number 0.0052048 correct to three significant figures
Awọn alaye Idahun
Ibeere 8 Ìròyìn
Three numbers, x, y and z are connected by the relationships y = \(\frac{4x}{9}\) + 1. If x = 99, find z
Awọn alaye Idahun
Ibeere 9 Ìròyìn
In the figure, PQ\\SR, ST\\, ST\\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.
Awọn alaye Idahun
Ibeere 12 Ìròyìn
fG is a given straight line and H is a fixed point. The construction marks shown in the diagram indicate the
Awọn alaye Idahun
Ibeere 13 Ìròyìn
The expression x3 - 4x2 + cx + d is such that x + 1 is its factor, and its value is 1 when x is -2. Find c and d.
Awọn alaye Idahun
Ibeere 15 Ìròyìn
A pentagon has four of its angles equal. If the size of the fifth angle is 60o, Find the size of each of the four equal angles.
Awọn alaye Idahun
Ibeere 20 Ìròyìn
When a dealer sells a bicycle for N81 he makes a profit of 80%. What did he pay for the bicycle?
Awọn alaye Idahun
Ibeere 24 Ìròyìn
In the figure, If PT is parallel to RS, PQ = PT, and angle SQT = 90o, Find x
Awọn alaye Idahun
Ibeere 25 Ìròyìn
What factor is common to all the expressions x2 - x, 2x2 + x - 1 and x2 - 1?
Awọn alaye Idahun
Ibeere 26 Ìròyìn
Find the area of the curved surface of a cone whose base radius is 6cm and whose height is 8cm. (take \(\pi\) = \(\frac{22}{7}\))
Awọn alaye Idahun
Ibeere 28 Ìròyìn
P and Q are fixed points and X is a variable point which moves so that angle PXQ = 45o. What is the locus of x?
Awọn alaye Idahun
Ibeere 29 Ìròyìn
(\(\frac{x^a}{x^b}\))a + b by (\(\frac{x^{a + b}}{x^{a - b}}\))\(\frac{a^2}{b}\)
Awọn alaye Idahun
Ibeere 32 Ìròyìn
In the figure, PS = SR and Rx is a tangent to the circle at R, < QRX is equal to 72o. Find
Awọn alaye Idahun
Ibeere 33 Ìròyìn
A solid cylinder of radius 3cm has a total surface area of 36\(\pi\)cm2. Find its height
Awọn alaye Idahun
Ibeere 34 Ìròyìn
Find, correct to three significant figures, the value of \(\sqrt{41830}\).
Awọn alaye Idahun
Ibeere 36 Ìròyìn
Solve the equation for the positive values of \(\theta\) less than 360o. 3 tan \(\theta\) + 2 = -1
Awọn alaye Idahun
Ibeere 37 Ìròyìn
A set of data contains a total of 130 items which are divided into six groups for display on a pie chart. If one group contains 26 items, then the sector representing this group on the pie chart contains an angle xo at the centre of the circle where x is
Awọn alaye Idahun
Ibeere 38 Ìròyìn
Which of the formula below represents the general terms of the following set of numbers(-1, \(\frac{2}{3}\), -\(\frac{1}{2}\), \(\frac{2}{5}\)......) for n = 1, 2, 3, 4.......?
Awọn alaye Idahun
Ibeere 40 Ìròyìn
List all integer values of x satisfying the inequality -1 < 2x - 5 \(\leq\) 5
Awọn alaye Idahun
Ibeere 41 Ìròyìn
If it is given that 5x + 1 + 5x = 150, then the value of x is equal to
Awọn alaye Idahun
Ibeere 45 Ìròyìn
Rationalize the denominator of the given expression \(\frac{\sqrt{1 + a} - \sqrt{a}}{1 + a + \sqrt{a}}\)
Awọn alaye Idahun
Ibeere 47 Ìròyìn
In a school, there are 35 students in class 2A and 40 in class 2B. The mean score for class 2 in an English Literature examination is 60.0 and that for 2B in the same paper is 52.5. Find, to one place of decimal, the mean for the combined classes
Awọn alaye Idahun
