JAMB UTME - Mathematics - 1981
Frage 1 Bericht
Evaluate correct to 4 decimal places 827.51 x 0.015
Frage 3 Bericht
7 pupils of average age 12 years leave a class of 25 pupils of average age 14 years. If 6 new pupils of average age 11years join the class, what is the average age of the pupils now in the class?
Antwortdetails
Frage 4 Bericht
Find a two-digit number such that three times the tens digit is 2 less than twice the units digit and twice the number is 20 greater than the number obtained by reversing the digits
Antwortdetails
Frage 6 Bericht
Show that \(\frac{\sin 2x}{1 + \cos x}\) + \(\frac{sin2 x}{1 - cos x}\) is
Antwortdetails
Frage 8 Bericht
A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?
Frage 9 Bericht
The number 25 when converted from the tens and units base to the binary base (base two) is one of the following
Antwortdetails
Frage 10 Bericht
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
Antwortdetails
Frage 11 Bericht
In \(\bigtriangleup\)XYZ, XY = 3cm, XZ = 5cm and YZ = 7cm. If the bisector of XYZ meets XZ at W, what is the length of XW?
Antwortdetails
Frage 12 Bericht
simplify \(\frac{6^{2n + 1} \times 9^n \times 4^{2n}}{18^n \times 2^n \times 12^{2n}}\)
Frage 13 Bericht
Marks scored by some children in an arithmetic test are:5, 3, 6, 9, 4, 7, 8, 6, 2, 7, 8, 4, 5, 2, 1, 0, 6, 9, 0, 8.
The arithmetic mean of the marks is
Antwortdetails
Frage 14 Bericht
In the figure, find x in terms of a, b and c.
Frage 15 Bericht
What is the area between two concentric circles of diameters 26cm and 20cm?
Frage 16 Bericht
An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?
Antwortdetails
Frage 17 Bericht
Suppose x varies inversely as y, y varies directly as the square of t and x = 1, when t = 3. Find x when t = \(\frac{1}{3}\).
Antwortdetails
Frage 18 Bericht
Given that 10x = 0.2 and log102 = 0.3010, find x
Frage 19 Bericht
Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed of Y is 60km per hour and x arrives at P 25 minutes earlier than Y. What is the average speed of X?
Antwortdetails
Frage 20 Bericht
Simplify \(\frac{\sqrt{2}}{\sqrt{3} - \sqrt{2}}\) - \(\frac{3 - 2}{\sqrt{3} + \sqrt{2}}\)
Antwortdetails
Frage 21 Bericht
A baking 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?
Antwortdetails
Frage 22 Bericht
The difference between the length and width of a rectangle is 6cm and the area is 135cm2. What is the length?
Frage 23 Bericht
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
Frage 24 Bericht
If sine x equals cosine x, what is x in radians?
Frage 25 Bericht
In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40o and YTW = 30o. What is YXW?
Antwortdetails
Frage 26 Bericht
The positive root of t in the following equation, 4t2 + 7t - 1 = 0, correct to 4 places of decimal, is
Antwortdetails
Frage 27 Bericht
Evaluate \(\frac{6.3 \times 10^5}{8.1 \times 10^3}\) to 3 significant fiqures
Frage 28 Bericht
Find the value of x satisfying \(\frac{x}{2}\) - \(\frac{1}{3}\) < \(\frac{2x}{5}\) + \(\frac{1}{6}\)
Antwortdetails
Frage 29 Bericht
A group of 14 children children received the following scores in a reading test: 35, 35, 26, 26, 26, 29, 29, 29, 12, 25, 25, 25, 25, 17. What was the median score?
Antwortdetails
Frage 31 Bericht
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
Antwortdetails
Frage 32 Bericht
In one and a half hours, the minute hand of a clock rotates through an angle of
Antwortdetails
Frage 33 Bericht
By selling an article for N45.00 a man makes a profit of 80%. For how much should he have sold it in order to make a profit of 32%?
Antwortdetails
Frage 36 Bericht
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
Antwortdetails
Frage 37 Bericht
If b = a + cp and r = ab + \(\frac{1}{2}\)cp2, express b2 in terms of a, c, r.
Antwortdetails
Frage 38 Bericht
The ratio of the price of a loaf of bread to the price of a packet of sugar in 1975 was r : t. In 1980, the price of a loaf went up by 25% and that of a packet of sugar went up by 10%. Their new ratio is now
Antwortdetails
Frage 39 Bericht
If \(\log_{2} y = 3 - \log_{2} x^{\frac{3}{2}}\), find y when x = 4.
Antwortdetails
Frage 40 Bericht
The sum of the root of a quadratic equation is \(\frac{5}{2}\) and the product of its root is 4. The quadratic equation is
Antwortdetails
Frage 41 Bericht
Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)
Antwortdetails
Frage 42 Bericht
The difference between 4\(\frac{5}{7}\) and 2\(\frac{1}{4}\) greater by
Antwortdetails
Frage 43 Bericht
A micrometer is defined as one millionth of a millimeter. A length of 12,000 micrometres may be represented as
Antwortdetails
Frage 44 Bericht
The weights of 30 new-born babies are given as follow: 6, 9, 5, 7, 6, 7, 5, 8, 9, 5, 7, 5, 8, 7, 8, 7, 5, 6, 5, 7, 6, 9, 9, 7, 8, 8, 7, 8, 9, 8. The mode is
Antwortdetails
Frage 45 Bericht
In the figure, WU//YZ, WY//YZ = 12cm, VZ = 6cm, XU = 8cm. Determine the length of WU.
Antwortdetails
Frage 46 Bericht
A sum of money invested at 5% per annum simple interest amounts to $285.20 after 3 years. How long will it take the same sum to amount to $434.00 at 7\(\frac{1}{2}\)% per annum simple interest?
Antwortdetails
